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Attached below is a screenshot of the questions I need answered. You do not need to show the work. Thanks in advance.
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1.
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Rewrite the statement in mathematical notation. (Let n be the number of cases of Bangkok flu and t be time.)
There are currently 400 cases of Bangkok flu, and the number is growing by 10 new cases every month.
n =
dn
dir
=
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2.
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Rewrite the statement in mathematical notation. (Let y be the distance from the top of the ladder to the floor, x be the distance from the base of the ladder to the wall, and t be time.)
A ladder is sliding down a wall so that the distance between the top of the ladder and the floor is decreasing at a rate of 7 feet per second. How fast is the base of the ladder receding from the wall?
dy
dt
=
Rewrite the question in mathematical notation.
Find dx/dt.
Find dy/dx.
Find dt/dy.
Find dx/dy.
Find dy/dt.
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3.
-/2 points WaneFMAC7 12.5.009.
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The area of a circular sunspot is growing at a rate of 800 km2/sec.
(a) How fast is the radius growing at the instant when it equals 8,000 kilometers? HINT (See Example 1.] (Round your answer to three decimal places.)
km/s
(b) How fast is the radius growing at the instant when the sunspot has an area of 810,000 square kilometers? HINT [Use the area formula to determine the radius at that instant.] (Round your answer to four
decimal places.)
km/s
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-/2 points WaneFMAC7 12.5.010.
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The radius of a circular puddle is growing at a rate of 25 cm/sec.
(a) How fast is its area growing at the instant when the radius is 50 centimeters? HINT [See Example 1.] (Round your answer to the nearest integer.)
cm2/s
(b) How fast is the area growing at the instant when it equals 9 square centimeters? HINT [Use the area formula to determine the radius at that instant.] (Round your answer to the nearest integer.)
cm2/s
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5.
-/1 points WaneFMAC7 12.5.012.
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A rather flimsy spherical balloon is designed to pop at the instant its radius has reached 5 centimeters. Assuming the balloon is filled with helium at a rate of 11 cubic centimeters per second, calculate how fast the
radius is growing at the instant it pops. HINT [See Example 1.] (The volume of a sphere of radius r is V =
Ar. Round your answer to two decimal places.)
cm/s
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6.
-/1 points WaneFMAC7 12.5.016.
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The top of a 40-foot ladder is sliding down a wall at a rate of 13 feet per second. How fast is the base of the ladder sliding away from the wall at the instant when the top of the ladder is 24 feet from the ground?
HINT (See Example 2.]
ft/s
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7.
-/1 points WaneFMAC7 12.5.030.
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The automobile assembly plant you manage has a Cobb-Douglas production function given by
P= 20x0.3y0.7
where P is the number of automobiles it produces per year, x is the number of employees, and y is the daily operating budget (in dollars). Assume that you maintain a constant work force of 200 workers and wish to
increase production in order to meet a demand that is increasing by 60 automobiles per year. The current demand is 1300 automobiles per year. How fast should your daily operating budget be increasing? HINT [See
Example 4.] (Round your answer to the nearest cent.)
$
per year
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STAT 250 Spring 2021 Data Analysis Assignment 1 Your solutions document should include the following items. Points will be deducted if the following are not included. Type your Name and STAT 250 with your correct section number (e.g. STAT 250-xxx) right justified and then Data Analysis Assignment #1 centered on the top of page 1 below your name to begin your solutions document.Number your pages across your entire solutions document.Your solutions document should include the ANSWERS ONLY with each answer labeled by its corresponding number and subpart. Keep the answers in order.Generate all requested graphs and tables using StatCrunch. Upload your solutions document onto Blackboard as a Word (docx) file or pdf file using the link provided by your instructor. It is your responsibility for uploading a readable file. You may not work with other individuals on this assignment. It is an honor code violation if you do. 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A sample of 552 individuals who responded yes to subscribing to a streaming service were asked their most watched service and age. The options listed for streaming subscriptions were: Netflix, Hulu, Amazon Prime Video, Disney Plus, and Other. The individuals were grouped into three age ranges: 18-35, 36-53 and 54-71. The data set found in our StatCrunch Group presents these 552 individuals’ responses. The data set is called “Streaming Services Survey.”a)Use StatCrunch to create a one-way table for the variable “Streaming Subscription” using both counts and percentages. Select Stat Tables Frequency. Select “Streaming Subscription” in the Select Column(s) box, and select both ‘Frequency’ and ‘Percent of total’ in the Statistic(s) box by holding down the Ctrl Key (Command Key on Macs) when making these selections. Copy your table into your solutions document and then manually round the values in the “Percent of total” column to two decimal places in the StatCrunch table that you have copied into your solutions document.b)Interpret your findings from the table in 1(a) by identifying the subscription service with the largest and smallest percentage. Use complete sentences with context and include the streaming subscription name and percentage in the sentences.c)Use StatCrunch to generate a two-way table for the variables “Streaming Subscription” and “Age”. Go to Stat Tables Contingency With Data (since you have the raw data in StatCrunch). Select “Streaming Subscription” as your row variable and “Age” as your column variable. In the “Display:” box, select only “Percent of Total.” Lastly, unclick (or deselect) “Chi-Square test for independence” since it is highlighted by default by holding the Ctrl key and clicking on it. Copy the entire table into your solutions document.d)Identify the largest and smallest percentages of individuals sampled (552) from the two-way table you constructed in part (c) (i.e. the percentages found inside the table). Explain the references of those percentages in both context and calculations. Provide both the value of the variables that make up the cell and the percentage in your answer in two complete sentences.e)What values are the same when looking at both your one-way table from part (a) and your two-way table from part (c)? Be specific if referencing rows or columns. f)Now, create two more two-way tables keeping “Streaming Subscription” as your row variable and “Age” as your column variable. One table needs to include row percentages and the other needs to include column percentages. To do this, select “Row percent” in the display box for the first table and “Column percent” for the second table. 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Properly title and label your graph and copy it into your solutions document. b)Using the variable “Streaming Subscription”, produce a frequency bar chart. Properly title and label your graph and copy it into your solutions document. c)Using the variable “Streaming Subscription”, produce a Pie Chart using Graph Pie Chart With Data. Add an appropriate title and copy this entire graph including the legend into your solutions document. d)Using the variable “Streaming Subscription”, produce a Pie Chart only for individuals in the “18-35” age range using Graph Pie Chart With Data. To the right of the box marked “Where:” click the “Build” button. Under “Columns:” click on “Age” and click “Add Column” to bring it to the box. Next, click the equal sign (=) on the calculator section. Then, click the arrow at right end of the “Values:” box to get a drop down menu and select “18-35” and click “Add.” Finally, click Okay. 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Properly title and label your graph and copy it into your solutions document.b)Interpret the shape of this distribution in one complete sentence.c)Use StatCrunch to obtain the sample size (n), mean, and standard deviation for the “Age” variable by using Stat Summary Stats Columns. Note: in the Statistics box, select the summary statistics listed above in the exact order given. Copy the entire table into your solutions document and manually round each value to two decimal places when necessary.d)Use StatCrunch to obtain the five number summary and the IQR for the “Age” variable (the five number summary includes Min, Q1, Median, Q3, Max). Go to Stat Summary Stats Columns to obtain these values. Note: in the Statistics box, select the summary statistics listed above in the exact order given. Copy the entire table into your solutions document.e)Choose the appropriate summary statistics for center and spread (presented in either 3(c) or 3(d)) based on your stated shape of the distribution in 3(b). Please define the names of the statistics and their values in your answer.f)Use your summary statistics from part 3(d) and determine the fences used to mathematically identify outliers for the “Age” variable. To do this, type all steps in your calculations manually, including how you obtained the upper and lower fences.g)Construct a horizontally oriented boxplot of the “Age” variable by using Graph Boxplot. To do this, under “Other options:” click the “Draw boxes horizontally” button. Properly title and label and copy this graph into your solutions document.h)How many outliers do you identify (please use both the boxplot and your results from 3(f) to answer this question)? Hint: you can sort your data by “Age” (using Data Sort in StatCrunch) to get the correct number or hover your cursor over the box of the boxplot. Write your answer explanation in one to two sentences.Problem 4: Distance a Car Travels An individual in the market for a new car is considering both electric and gas powered vehicles. Specifically, two cars the individual wants to compare are the 2020 Tesla Model Y and the 2020 Toyota Corolla. A variable of interest to the individual is how far each car can travel on a full battery charge or a full tank of gas. Data were collected from 40 identical trips in each car. For each car, the distance the car traveled in miles was recorded using a full battery charge or a full tank of gas. The data set “Distance Traveled: Electric vs. Gas” presented the data collected.a)Construct a relative frequency histogram on the “Distance” variable. Properly title and label your graph. Copy and paste this graph into your solutions document.b)Describe the shape of the distribution of the “Distance” variable in context in one sentence.c)Now construct two separate relative frequency histograms for the “Distance” variable – one for each car type. Click on Options in the top left corner and select Edit. Under the “Group by:” option, select “Car”. Below the titling area, under “For multiple graphs:” change “Columns per page” from 1 to 2. Also, select the “Use same X-axis” and “Use same Y-axis” options. Finally, click Compute! Copy and paste these graphs into your solutions document.d)Describe the shape of the distribution of the “Distance” variable for each car in context in one sentence. e)Compare your description in part (d) with your description in part (b)? Provide a one sentence explanation on what you believe occurred.f)Based on your histograms in part (c), generally compare the centers and spreads of each distribution (use comparative language). Answer in two sentences.g)Use StatCrunch to obtain sample size (n), the mean, and standard deviation of the “Distance” variable by “Car” (using “Group by:”). Copy and paste the table into your solutions document. Round your answers to one decimal place.For parts 4(h)-4(j), determine how well the Empirical Rule does in predicting the percentage of observations within some number of standard deviations of the mean.h)Use your rounded summary statistics for “Toyota” from part 4(g) to calculate the interval corresponding to one, two, and three standard deviations about the mean Distance. Type your work showing how you obtained these intervals. Clearly label and list these three intervals in your solutions document as shown below:68% interval (lower value, upper value) 95% interval (lower value, upper value) 99.7% interval (lower value, upper value)i)Use StatCrunch to determine the frequency AND percentage of observations falling in each of these intervals by following the instructions listed below or using another appropriate counting method. Properly label and list these counts and percentages in your solutions document.Go to Data Row Selection Interactive Tools. In the Slider selectors box, click the variable “Distance” into the variable box. In the Category selectors box, click the variable “Car” into the variable box. Click Compute! to open the tool.The box that appears has a slider under the words Distance that allows you to create ranges of scores that you determined in 4(h). Under Location, you can select whether you want to use Tesla or Toyota (here select only Toyota). Use the slider to obtain the count for each interval from 4(h) by looking at the “# rows selected” presented in the first line of the box. Hint: click on the square bounds of the interval and use your arrow keys for more control. Calculate the percentages from the counts you obtained for each interval and include them in your solutions document.j)Do each of the three percentages found in part 4(i) match what the Empirical Rule predicts? Compare your results in 4(i) with the expected percentage stated in the Empirical Rule. State your answer in three sentences (one sentence for each comparison).k)Suppose the individual purchases the Toyota and traveled 344 miles on a full tank of gas. Use your rounded summary statistics from 4(g), calculate the z-score of this value and explain in a complete sentence what this z-score indicates. Round the z-score to two decimal places.l)Now suppose the individual purchases the Tesla and travels 344 miles on a full change. Use your rounded summary statistics from 4(g), calculate the z-score of this value and explain in a complete sentence what this z-score indicates. Round the z-score to two decimal places.STAT 250 Spring 2021 Data Analysis Assignment 1 Your solutions document should include the following items. Points will be deducted if the following are not included. Type your Name and STAT 250 with your correct section number (e.g. STAT 250-xxx) right justified and then Data Analysis Assignment #1 centered on the top of page 1 below your name to begin your solutions document.Number your pages across your entire solutions document.Your solutions document should include the ANSWERS ONLY with each answer labeled by its corresponding number and subpart. Keep the answers in order.Generate all requested graphs and tables using StatCrunch. Upload your solutions document onto Blackboard as a Word (docx) file or pdf file using the link provided by your instructor. It is your responsibility for uploading a readable file. You may not work with other individuals on this assignment. It is an honor code violation if you do. Elements of good technical writing:Use complete and coherent sentences to answer the questions.Graphs must be appropriately titled and should refer to the context of the question.Graphical displays must include labels with units if appropriate for each axis.Units should always be included when referring to numerical values.When making a comparison you must use comparative language, such as “greater than”, “less than”, or “about the same as.”Ensure that all graphs and tables appear on one page and are not split across two pages.Type all mathematical calculations when directed to compute an answer ‘by-hand.’ Pictures of actual handwritten work are not accepted on this assignment.When writing mathematical expressions into your solutions document you may use either an equation editor or common shortcuts such as: can be written as sqrt(x), can be written as p-hat, can be written as x-bar.Problem 1: Streaming Services SurveyA marketing researcher wants to investigate whether there is any relationship between preferred streaming service and age in order to properly advertise a particular streaming service. A sample of 552 individuals who responded yes to subscribing to a streaming service were asked their most watched service and age. The options listed for streaming subscriptions were: Netflix, Hulu, Amazon Prime Video, Disney Plus, and Other. The individuals were grouped into three age ranges: 18-35, 36-53 and 54-71. The data set found in our StatCrunch Group presents these 552 individuals’ responses. The data set is called “Streaming Services Survey.”a)Use StatCrunch to create a one-way table for the variable “Streaming Subscription” using both counts and percentages. Select Stat Tables Frequency. Select “Streaming Subscription” in the Select Column(s) box, and select both ‘Frequency’ and ‘Percent of total’ in the Statistic(s) box by holding down the Ctrl Key (Command Key on Macs) when making these selections. Copy your table into your solutions document and then manually round the values in the “Percent of total” column to two decimal places in the StatCrunch table that you have copied into your solutions document.b)Interpret your findings from the table in 1(a) by identifying the subscription service with the largest and smallest percentage. Use complete sentences with context and include the streaming subscription name and percentage in the sentences.c)Use StatCrunch to generate a two-way table for the variables “Streaming Subscription” and “Age”. Go to Stat Tables Contingency With Data (since you have the raw data in StatCrunch). Select “Streaming Subscription” as your row variable and “Age” as your column variable. In the “Display:” box, select only “Percent of Total.” Lastly, unclick (or deselect) “Chi-Square test for independence” since it is highlighted by default by holding the Ctrl key and clicking on it. Copy the entire table into your solutions document.d)Identify the largest and smallest percentages of individuals sampled (552) from the two-way table you constructed in part (c) (i.e. the percentages found inside the table). Explain the references of those percentages in both context and calculations. Provide both the value of the variables that make up the cell and the percentage in your answer in two complete sentences.e)What values are the same when looking at both your one-way table from part (a) and your two-way table from part (c)? Be specific if referencing rows or columns. f)Now, create two more two-way tables keeping “Streaming Subscription” as your row variable and “Age” as your column variable. One table needs to include row percentages and the other needs to include column percentages. To do this, select “Row percent” in the display box for the first table and “Column percent” for the second table. Include both tables in your solutions document.g)Specifically interpret the meaning of the row percentage found in the “Netflix” and “18-35” cell. Note that there are 74 observations in that cell.h)Now, specifically interpret the meaning of the column percentage found in the “Netflix” and “18-35” cell. Note that there are 74 observations in that cell. Problem 2: Streaming Services Survey At the next board meeting, the marketing researcher will present the findings from the survey to the executives of the subscription service in an organized and easy to view manner. Use the “Streaming Services Survey” data set posted in our StatCrunch group to answer the following questions. a)Using the variable named “Streaming Subscription”, produce a relative frequency Pareto chart using Graph Bar Plot With Data. Remember to order the bars by changing “Order by” to Count Descending. Properly title and label your graph and copy it into your solutions document. b)Using the variable “Streaming Subscription”, produce a frequency bar chart. Properly title and label your graph and copy it into your solutions document. c)Using the variable “Streaming Subscription”, produce a Pie Chart using Graph Pie Chart With Data. Add an appropriate title and copy this entire graph including the legend into your solutions document. d)Using the variable “Streaming Subscription”, produce a Pie Chart only for individuals in the “18-35” age range using Graph Pie Chart With Data. To the right of the box marked “Where:” click the “Build” button. Under “Columns:” click on “Age” and click “Add Column” to bring it to the box. Next, click the equal sign (=) on the calculator section. Then, click the arrow at right end of the “Values:” box to get a drop down menu and select “18-35” and click “Add.” Finally, click Okay. Add an appropriate title and copy this entire graph including the legend into your solutions document. e)Explain how the percentages displayed for “Disney+” differ based on the calculations from both Pie Charts in part (c) and part (d). f)Now produce a grouped relative frequency bar chart (to copy to your solutions document) by following the directions below.Go to Graph Bar Plot With Data.For this grouped bar chart, graph the variable “Streaming Subscription” and group by “Age.” To group by a particular variable click the arrow next to the “Group by:” box (the third box down) and from the drop down menu select the variable you are asked to group by. In the “Type:” box (5th box down from the top) choose “Relative Frequency (within category).” Title this graph clearly. You may keep the default labels for the x and y-axis. Copy this graph including the legend into your solutions document.g)For this next grouped bar chart, graph the variable “Age” and group by “Streaming Subscription.” Again, in the Type box (5th box down from the top) choose “Relative Frequency (within category).” Title this graph clearly. You may keep the default labels for the x and y-axis. Copy this graph including the legend into your solutions document.h)The two graphs you made in 2(f) and 2(g) are another representation of row and column percentage two-way tables. If we consider the row variable to be “Streaming Subscription” and the column variable to be “Age,” which graph would correspond to a row percentage two-way table and which graph would correspond to the column percentage two-way table? Answer in two complete sentences. You may create these two-way tables for this data set to help you answer the questions, but the tables do not need to be copied into your solutions document.i)Which graph that you created in Problem 2 would you recommend the marketing researcher present to the executives at the meeting? Include your choice and a compelling argument in two to three sentences. Problem 3: Age at Death of Australian MalesThe Australian Bureau of Statistics collects data on the age of death for every individual in their country yearly. A sample of 1000 male ages at death were taken from the year 2011 and data are provided under the title “Sample of Ages at Death” in StatCrunch. a)Create a frequency histogram for the variable “Age” by using Graph Histogram. Properly title and label your graph and copy it into your solutions document.b)Interpret the shape of this distribution in one complete sentence.c)Use StatCrunch to obtain the sample size (n), mean, and standard deviation for the “Age” variable by using Stat Summary Stats Columns. Note: in the Statistics box, select the summary statistics listed above in the exact order given. Copy the entire table into your solutions document and manually round each value to two decimal places when necessary.d)Use StatCrunch to obtain the five number summary and the IQR for the “Age” variable (the five number summary includes Min, Q1, Median, Q3, Max). Go to Stat Summary Stats Columns to obtain these values. Note: in the Statistics box, select the summary statistics listed above in the exact order given. Copy the entire table into your solutions document.e)Choose the appropriate summary statistics for center and spread (presented in either 3(c) or 3(d)) based on your stated shape of the distribution in 3(b). Please define the names of the statistics and their values in your answer.f)Use your summary statistics from part 3(d) and determine the fences used to mathematically identify outliers for the “Age” variable. To do this, type all steps in your calculations manually, including how you obtained the upper and lower fences.g)Construct a horizontally oriented boxplot of the “Age” variable by using Graph Boxplot. To do this, under “Other options:” click the “Draw boxes horizontally” button. Properly title and label and copy this graph into your solutions document.h)How many outliers do you identify (please use both the boxplot and your results from 3(f) to answer this question)? Hint: you can sort your data by “Age” (using Data Sort in StatCrunch) to get the correct number or hover your cursor over the box of the boxplot. Write your answer explanation in one to two sentences.Problem 4: Distance a Car Travels An individual in the market for a new car is considering both electric and gas powered vehicles. Specifically, two cars the individual wants to compare are the 2020 Tesla Model Y and the 2020 Toyota Corolla. A variable of interest to the individual is how far each car can travel on a full battery charge or a full tank of gas. Data were collected from 40 identical trips in each car. For each car, the distance the car traveled in miles was recorded using a full battery charge or a full tank of gas. The data set “Distance Traveled: Electric vs. Gas” presented the data collected.a)Construct a relative frequency histogram on the “Distance” variable. Properly title and label your graph. Copy and paste this graph into your solutions document.b)Describe the shape of the distribution of the “Distance” variable in context in one sentence.c)Now construct two separate relative frequency histograms for the “Distance” variable – one for each car type. Click on Options in the top left corner and select Edit. Under the “Group by:” option, select “Car”. Below the titling area, under “For multiple graphs:” change “Columns per page” from 1 to 2. Also, select the “Use same X-axis” and “Use same Y-axis” options. Finally, click Compute! Copy and paste these graphs into your solutions document.d)Describe the shape of the distribution of the “Distance” variable for each car in context in one sentence. e)Compare your description in part (d) with your description in part (b)? Provide a one sentence explanation on what you believe occurred.f)Based on your histograms in part (c), generally compare the centers and spreads of each distribution (use comparative language). Answer in two sentences.g)Use StatCrunch to obtain sample size (n), the mean, and standard deviation of the “Distance” variable by “Car” (using “Group by:”). Copy and paste the table into your solutions document. Round your answers to one decimal place.For parts 4(h)-4(j), determine how well the Empirical Rule does in predicting the percentage of observations within some number of standard deviations of the mean.h)Use your rounded summary statistics for “Toyota” from part 4(g) to calculate the interval corresponding to one, two, and three standard deviations about the mean Distance. Type your work showing how you obtained these intervals. Clearly label and list these three intervals in your solutions document as shown below:68% interval (lower value, upper value) 95% interval (lower value, upper value) 99.7% interval (lower value, upper value)i)Use StatCrunch to determine the frequency AND percentage of observations falling in each of these intervals by following the instructions listed below or using another appropriate counting method. Properly label and list these counts and percentages in your solutions document.Go to Data Row Selection Interactive Tools. In the Slider selectors box, click the variable “Distance” into the variable box. In the Category selectors box, click the variable “Car” into the variable box. Click Compute! to open the tool.The box that appears has a slider under the words Distance that allows you to create ranges of scores that you determined in 4(h). Under Location, you can select whether you want to use Tesla or Toyota (here select only Toyota). Use the slider to obtain the count for each interval from 4(h) by looking at the “# rows selected” presented in the first line of the box. Hint: click on the square bounds of the interval and use your arrow keys for more control. Calculate the percentages from the counts you obtained for each interval and include them in your solutions document.j)Do each of the three percentages found in part 4(i) match what the Empirical Rule predicts? Compare your results in 4(i) with the expected percentage stated in the Empirical Rule. State your answer in three sentences (one sentence for each comparison).k)Suppose the individual purchases the Toyota and traveled 344 miles on a full tank of gas. Use your rounded summary statistics from 4(g), calculate the z-score of this value and explain in a complete sentence what this z-score indicates. Round the z-score to two decimal places.l)Now suppose the individual purchases the Tesla and travels 344 miles on a full change. Use your rounded summary statistics from 4(g), calculate the z-score of this value and explain in a complete sentence what this z-score indicates. Round the z-score to two decimal places.
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Poisson Dist
I agree that the Poisson distribution best depicts predicts employee turnover every year. The Poisson distribution is usef ...
Poisson Dist
I agree that the Poisson distribution best depicts predicts employee turnover every year. The Poisson distribution is useful in predicting employee ...
Limits and Continuity (23 Multiple Choice)
1.Using the graph of f(x) below, find (4 points) −5Does not exist01.72.Find . (4 points)0Does not exist3.What is ? (4 ...
Limits and Continuity (23 Multiple Choice)
1.Using the graph of f(x) below, find (4 points) −5Does not exist01.72.Find . (4 points)0Does not exist3.What is ? (4 points)∞0−4−∞4.What is ? (4 points)0-101Does not exist5.Find the limit of the function by using direct substitution (4 points)Does not exist05-51.If and , then . (4 points)TrueFalse2.Find the limit of the function algebraically. (4 points)5110Does not exist3.Find . (4 points)210Does not exist4.Evaluate . (4 points)-110Does not exist5.Evaluate . (4 points)01Does not exist1.Evaluate (6 points)∞−∞02.Find the equation of the horizontal asymptote for the function, . (7 points)There is no horizontal asymptote.y = 0y = 1y = x3.Which of the following is false for ? (7 points)The y-axis is not an asymptote of f(x).The x-axis is an asymptote of f(x).x = -1 is not an asymptote of f(x).x = 1 is an asymptote of f(x).1.To two decimal places, find the value of k that will make the function f(x) continuous everywhere. (4 points)1.889.003.76None of these2.Where is discontinuous? (4 points)-2-2, 44f(x) is continuous everywhere3.Is the function continuous? (4 points)YesNo4.List the discontinuities for the function f(x) = cot( ). (4 points)n( ), where n is an integern( ), where n is an integern( ), where n is an integerThere are no discontinuities.5.Which of the following is true for ? (4 points)There is a non-removable discontinuity at x = 2.There is a removable discontinuity at x = 2.The function is continuous for all real numbers.1.What is the instantaneous slope of y = at x = -3? ( 4 points)2.What is the average rate of change of y with respect to x over the interval [-2, 6] for the function y = 5x + 2? (4 points)52103.What is the slope for the function y = -5x2 + 2 at the point x = 1? (4 points)-5-10-3The slope cannot be determined.4.The surface area, S, of a sphere of radius r feet is S = S(r) = 4πr2. Find the instantaneous rate of change of the surface area with respect to the radius r at r = 4. (4 points)32π16π64π4π5.A ball is thrown vertically upward from the top of a 100 foot tower, with an initial velocity of 10 ft/sec. Its position function is s(t) = -16t2 + 10t + 100. What is its velocity in ft/sec when t = 2 seconds? (4 points)-32-38-5480
Rational function
Assignment 6.1: Evaluating Polynomial and Rational Functions Complete the following problems: Be sure to show all work. ...
Rational function
Assignment 6.1: Evaluating Polynomial and Rational Functions Complete the following problems: Be sure to show all work. Find the vertex and intercepts of the following quadratic functions. State whether the parabola opens up or down. Use this information to sketch the graph.You have 300 feet of fencing to enclose a rectangular lot. Find the dimensions of the rectangle that will maximize the enclosed area. What is the largest area that can be enclosed? Use the leading coefficient test to determine the end behavior of the following polynomial functions.Use the intermediate value theorem to show each polynomial has a real zero between the given integers.Divide using either long division or synthetic division. ; between 1 and 4 ; between –1 and 0 Find all zeros of polynomial functions given. Use whatever method(s) that you choose.
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The coursework assignment contains three sections. (I included the actual assigment as the first attachment, the second at ...
Quantitative and Analytical Techniques for Managers Statistics Questions
The coursework assignment contains three sections. (I included the actual assigment as the first attachment, the second attachment is just to help you do harvard style citations, and the third attachment is the formulas to help solve the problems) You also will need SPSS for third section :)The first section deals with measures of central tendency and dispersion, the standard normal distribution and z-scores, and Pearson’s correlation coefficient. Section 2 covers Ordinary Least Squares regression. For both sections, you should calculate the solutions step-by-step and show your calculations clearly using structured tables as per the tutorials and lectures. In section 3 you are asked to research a question using multiple regression analysis performed via SPSS and to write up your results and conclusions.Please make sure that you cite ALL the sources you’ve used and include them all in your bibliography using the Harvard style. Please read the guidance on plagiarism and how to avoid it and make sure your assignment does not contain any plagiarism. Direct quotations must be placed in quotation marks and the source (author, year of publication, and page number) included in the text. If you paraphrase from a sentence from another source you must cite the source (author, year of publication and page number) at the end of each sentence that contains the paraphrased text.
STAT 250 GMU Frequency Table Results for Streaming Services Survey Questions
STAT 250 Spring 2021 Data Analysis Assignment 1 Your solutions document should include the following items. Points will b ...
STAT 250 GMU Frequency Table Results for Streaming Services Survey Questions
STAT 250 Spring 2021 Data Analysis Assignment 1 Your solutions document should include the following items. Points will be deducted if the following are not included. Type your Name and STAT 250 with your correct section number (e.g. STAT 250-xxx) right justified and then Data Analysis Assignment #1 centered on the top of page 1 below your name to begin your solutions document.Number your pages across your entire solutions document.Your solutions document should include the ANSWERS ONLY with each answer labeled by its corresponding number and subpart. Keep the answers in order.Generate all requested graphs and tables using StatCrunch. Upload your solutions document onto Blackboard as a Word (docx) file or pdf file using the link provided by your instructor. It is your responsibility for uploading a readable file. You may not work with other individuals on this assignment. It is an honor code violation if you do. Elements of good technical writing:Use complete and coherent sentences to answer the questions.Graphs must be appropriately titled and should refer to the context of the question.Graphical displays must include labels with units if appropriate for each axis.Units should always be included when referring to numerical values.When making a comparison you must use comparative language, such as “greater than”, “less than”, or “about the same as.”Ensure that all graphs and tables appear on one page and are not split across two pages.Type all mathematical calculations when directed to compute an answer ‘by-hand.’ Pictures of actual handwritten work are not accepted on this assignment.When writing mathematical expressions into your solutions document you may use either an equation editor or common shortcuts such as: can be written as sqrt(x), can be written as p-hat, can be written as x-bar.Problem 1: Streaming Services SurveyA marketing researcher wants to investigate whether there is any relationship between preferred streaming service and age in order to properly advertise a particular streaming service. A sample of 552 individuals who responded yes to subscribing to a streaming service were asked their most watched service and age. The options listed for streaming subscriptions were: Netflix, Hulu, Amazon Prime Video, Disney Plus, and Other. The individuals were grouped into three age ranges: 18-35, 36-53 and 54-71. The data set found in our StatCrunch Group presents these 552 individuals’ responses. The data set is called “Streaming Services Survey.”a)Use StatCrunch to create a one-way table for the variable “Streaming Subscription” using both counts and percentages. Select Stat Tables Frequency. Select “Streaming Subscription” in the Select Column(s) box, and select both ‘Frequency’ and ‘Percent of total’ in the Statistic(s) box by holding down the Ctrl Key (Command Key on Macs) when making these selections. Copy your table into your solutions document and then manually round the values in the “Percent of total” column to two decimal places in the StatCrunch table that you have copied into your solutions document.b)Interpret your findings from the table in 1(a) by identifying the subscription service with the largest and smallest percentage. Use complete sentences with context and include the streaming subscription name and percentage in the sentences.c)Use StatCrunch to generate a two-way table for the variables “Streaming Subscription” and “Age”. Go to Stat Tables Contingency With Data (since you have the raw data in StatCrunch). Select “Streaming Subscription” as your row variable and “Age” as your column variable. In the “Display:” box, select only “Percent of Total.” Lastly, unclick (or deselect) “Chi-Square test for independence” since it is highlighted by default by holding the Ctrl key and clicking on it. Copy the entire table into your solutions document.d)Identify the largest and smallest percentages of individuals sampled (552) from the two-way table you constructed in part (c) (i.e. the percentages found inside the table). Explain the references of those percentages in both context and calculations. Provide both the value of the variables that make up the cell and the percentage in your answer in two complete sentences.e)What values are the same when looking at both your one-way table from part (a) and your two-way table from part (c)? Be specific if referencing rows or columns. f)Now, create two more two-way tables keeping “Streaming Subscription” as your row variable and “Age” as your column variable. One table needs to include row percentages and the other needs to include column percentages. To do this, select “Row percent” in the display box for the first table and “Column percent” for the second table. Include both tables in your solutions document.g)Specifically interpret the meaning of the row percentage found in the “Netflix” and “18-35” cell. Note that there are 74 observations in that cell.h)Now, specifically interpret the meaning of the column percentage found in the “Netflix” and “18-35” cell. Note that there are 74 observations in that cell. Problem 2: Streaming Services Survey At the next board meeting, the marketing researcher will present the findings from the survey to the executives of the subscription service in an organized and easy to view manner. Use the “Streaming Services Survey” data set posted in our StatCrunch group to answer the following questions. a)Using the variable named “Streaming Subscription”, produce a relative frequency Pareto chart using Graph Bar Plot With Data. Remember to order the bars by changing “Order by” to Count Descending. Properly title and label your graph and copy it into your solutions document. b)Using the variable “Streaming Subscription”, produce a frequency bar chart. Properly title and label your graph and copy it into your solutions document. c)Using the variable “Streaming Subscription”, produce a Pie Chart using Graph Pie Chart With Data. Add an appropriate title and copy this entire graph including the legend into your solutions document. d)Using the variable “Streaming Subscription”, produce a Pie Chart only for individuals in the “18-35” age range using Graph Pie Chart With Data. To the right of the box marked “Where:” click the “Build” button. Under “Columns:” click on “Age” and click “Add Column” to bring it to the box. Next, click the equal sign (=) on the calculator section. Then, click the arrow at right end of the “Values:” box to get a drop down menu and select “18-35” and click “Add.” Finally, click Okay. Add an appropriate title and copy this entire graph including the legend into your solutions document. e)Explain how the percentages displayed for “Disney+” differ based on the calculations from both Pie Charts in part (c) and part (d). f)Now produce a grouped relative frequency bar chart (to copy to your solutions document) by following the directions below.Go to Graph Bar Plot With Data.For this grouped bar chart, graph the variable “Streaming Subscription” and group by “Age.” To group by a particular variable click the arrow next to the “Group by:” box (the third box down) and from the drop down menu select the variable you are asked to group by. In the “Type:” box (5th box down from the top) choose “Relative Frequency (within category).” Title this graph clearly. You may keep the default labels for the x and y-axis. Copy this graph including the legend into your solutions document.g)For this next grouped bar chart, graph the variable “Age” and group by “Streaming Subscription.” Again, in the Type box (5th box down from the top) choose “Relative Frequency (within category).” Title this graph clearly. You may keep the default labels for the x and y-axis. Copy this graph including the legend into your solutions document.h)The two graphs you made in 2(f) and 2(g) are another representation of row and column percentage two-way tables. If we consider the row variable to be “Streaming Subscription” and the column variable to be “Age,” which graph would correspond to a row percentage two-way table and which graph would correspond to the column percentage two-way table? Answer in two complete sentences. You may create these two-way tables for this data set to help you answer the questions, but the tables do not need to be copied into your solutions document.i)Which graph that you created in Problem 2 would you recommend the marketing researcher present to the executives at the meeting? Include your choice and a compelling argument in two to three sentences. Problem 3: Age at Death of Australian MalesThe Australian Bureau of Statistics collects data on the age of death for every individual in their country yearly. A sample of 1000 male ages at death were taken from the year 2011 and data are provided under the title “Sample of Ages at Death” in StatCrunch. a)Create a frequency histogram for the variable “Age” by using Graph Histogram. Properly title and label your graph and copy it into your solutions document.b)Interpret the shape of this distribution in one complete sentence.c)Use StatCrunch to obtain the sample size (n), mean, and standard deviation for the “Age” variable by using Stat Summary Stats Columns. Note: in the Statistics box, select the summary statistics listed above in the exact order given. Copy the entire table into your solutions document and manually round each value to two decimal places when necessary.d)Use StatCrunch to obtain the five number summary and the IQR for the “Age” variable (the five number summary includes Min, Q1, Median, Q3, Max). Go to Stat Summary Stats Columns to obtain these values. Note: in the Statistics box, select the summary statistics listed above in the exact order given. Copy the entire table into your solutions document.e)Choose the appropriate summary statistics for center and spread (presented in either 3(c) or 3(d)) based on your stated shape of the distribution in 3(b). Please define the names of the statistics and their values in your answer.f)Use your summary statistics from part 3(d) and determine the fences used to mathematically identify outliers for the “Age” variable. To do this, type all steps in your calculations manually, including how you obtained the upper and lower fences.g)Construct a horizontally oriented boxplot of the “Age” variable by using Graph Boxplot. To do this, under “Other options:” click the “Draw boxes horizontally” button. Properly title and label and copy this graph into your solutions document.h)How many outliers do you identify (please use both the boxplot and your results from 3(f) to answer this question)? Hint: you can sort your data by “Age” (using Data Sort in StatCrunch) to get the correct number or hover your cursor over the box of the boxplot. Write your answer explanation in one to two sentences.Problem 4: Distance a Car Travels An individual in the market for a new car is considering both electric and gas powered vehicles. Specifically, two cars the individual wants to compare are the 2020 Tesla Model Y and the 2020 Toyota Corolla. A variable of interest to the individual is how far each car can travel on a full battery charge or a full tank of gas. Data were collected from 40 identical trips in each car. For each car, the distance the car traveled in miles was recorded using a full battery charge or a full tank of gas. The data set “Distance Traveled: Electric vs. Gas” presented the data collected.a)Construct a relative frequency histogram on the “Distance” variable. Properly title and label your graph. Copy and paste this graph into your solutions document.b)Describe the shape of the distribution of the “Distance” variable in context in one sentence.c)Now construct two separate relative frequency histograms for the “Distance” variable – one for each car type. Click on Options in the top left corner and select Edit. Under the “Group by:” option, select “Car”. Below the titling area, under “For multiple graphs:” change “Columns per page” from 1 to 2. Also, select the “Use same X-axis” and “Use same Y-axis” options. Finally, click Compute! Copy and paste these graphs into your solutions document.d)Describe the shape of the distribution of the “Distance” variable for each car in context in one sentence. e)Compare your description in part (d) with your description in part (b)? Provide a one sentence explanation on what you believe occurred.f)Based on your histograms in part (c), generally compare the centers and spreads of each distribution (use comparative language). Answer in two sentences.g)Use StatCrunch to obtain sample size (n), the mean, and standard deviation of the “Distance” variable by “Car” (using “Group by:”). Copy and paste the table into your solutions document. Round your answers to one decimal place.For parts 4(h)-4(j), determine how well the Empirical Rule does in predicting the percentage of observations within some number of standard deviations of the mean.h)Use your rounded summary statistics for “Toyota” from part 4(g) to calculate the interval corresponding to one, two, and three standard deviations about the mean Distance. Type your work showing how you obtained these intervals. Clearly label and list these three intervals in your solutions document as shown below:68% interval (lower value, upper value) 95% interval (lower value, upper value) 99.7% interval (lower value, upper value)i)Use StatCrunch to determine the frequency AND percentage of observations falling in each of these intervals by following the instructions listed below or using another appropriate counting method. Properly label and list these counts and percentages in your solutions document.Go to Data Row Selection Interactive Tools. In the Slider selectors box, click the variable “Distance” into the variable box. In the Category selectors box, click the variable “Car” into the variable box. Click Compute! to open the tool.The box that appears has a slider under the words Distance that allows you to create ranges of scores that you determined in 4(h). Under Location, you can select whether you want to use Tesla or Toyota (here select only Toyota). Use the slider to obtain the count for each interval from 4(h) by looking at the “# rows selected” presented in the first line of the box. Hint: click on the square bounds of the interval and use your arrow keys for more control. Calculate the percentages from the counts you obtained for each interval and include them in your solutions document.j)Do each of the three percentages found in part 4(i) match what the Empirical Rule predicts? Compare your results in 4(i) with the expected percentage stated in the Empirical Rule. State your answer in three sentences (one sentence for each comparison).k)Suppose the individual purchases the Toyota and traveled 344 miles on a full tank of gas. Use your rounded summary statistics from 4(g), calculate the z-score of this value and explain in a complete sentence what this z-score indicates. Round the z-score to two decimal places.l)Now suppose the individual purchases the Tesla and travels 344 miles on a full change. Use your rounded summary statistics from 4(g), calculate the z-score of this value and explain in a complete sentence what this z-score indicates. Round the z-score to two decimal places.STAT 250 Spring 2021 Data Analysis Assignment 1 Your solutions document should include the following items. Points will be deducted if the following are not included. Type your Name and STAT 250 with your correct section number (e.g. STAT 250-xxx) right justified and then Data Analysis Assignment #1 centered on the top of page 1 below your name to begin your solutions document.Number your pages across your entire solutions document.Your solutions document should include the ANSWERS ONLY with each answer labeled by its corresponding number and subpart. Keep the answers in order.Generate all requested graphs and tables using StatCrunch. Upload your solutions document onto Blackboard as a Word (docx) file or pdf file using the link provided by your instructor. It is your responsibility for uploading a readable file. You may not work with other individuals on this assignment. It is an honor code violation if you do. Elements of good technical writing:Use complete and coherent sentences to answer the questions.Graphs must be appropriately titled and should refer to the context of the question.Graphical displays must include labels with units if appropriate for each axis.Units should always be included when referring to numerical values.When making a comparison you must use comparative language, such as “greater than”, “less than”, or “about the same as.”Ensure that all graphs and tables appear on one page and are not split across two pages.Type all mathematical calculations when directed to compute an answer ‘by-hand.’ Pictures of actual handwritten work are not accepted on this assignment.When writing mathematical expressions into your solutions document you may use either an equation editor or common shortcuts such as: can be written as sqrt(x), can be written as p-hat, can be written as x-bar.Problem 1: Streaming Services SurveyA marketing researcher wants to investigate whether there is any relationship between preferred streaming service and age in order to properly advertise a particular streaming service. A sample of 552 individuals who responded yes to subscribing to a streaming service were asked their most watched service and age. The options listed for streaming subscriptions were: Netflix, Hulu, Amazon Prime Video, Disney Plus, and Other. The individuals were grouped into three age ranges: 18-35, 36-53 and 54-71. The data set found in our StatCrunch Group presents these 552 individuals’ responses. The data set is called “Streaming Services Survey.”a)Use StatCrunch to create a one-way table for the variable “Streaming Subscription” using both counts and percentages. Select Stat Tables Frequency. Select “Streaming Subscription” in the Select Column(s) box, and select both ‘Frequency’ and ‘Percent of total’ in the Statistic(s) box by holding down the Ctrl Key (Command Key on Macs) when making these selections. Copy your table into your solutions document and then manually round the values in the “Percent of total” column to two decimal places in the StatCrunch table that you have copied into your solutions document.b)Interpret your findings from the table in 1(a) by identifying the subscription service with the largest and smallest percentage. Use complete sentences with context and include the streaming subscription name and percentage in the sentences.c)Use StatCrunch to generate a two-way table for the variables “Streaming Subscription” and “Age”. Go to Stat Tables Contingency With Data (since you have the raw data in StatCrunch). Select “Streaming Subscription” as your row variable and “Age” as your column variable. In the “Display:” box, select only “Percent of Total.” Lastly, unclick (or deselect) “Chi-Square test for independence” since it is highlighted by default by holding the Ctrl key and clicking on it. Copy the entire table into your solutions document.d)Identify the largest and smallest percentages of individuals sampled (552) from the two-way table you constructed in part (c) (i.e. the percentages found inside the table). Explain the references of those percentages in both context and calculations. Provide both the value of the variables that make up the cell and the percentage in your answer in two complete sentences.e)What values are the same when looking at both your one-way table from part (a) and your two-way table from part (c)? Be specific if referencing rows or columns. f)Now, create two more two-way tables keeping “Streaming Subscription” as your row variable and “Age” as your column variable. One table needs to include row percentages and the other needs to include column percentages. To do this, select “Row percent” in the display box for the first table and “Column percent” for the second table. Include both tables in your solutions document.g)Specifically interpret the meaning of the row percentage found in the “Netflix” and “18-35” cell. Note that there are 74 observations in that cell.h)Now, specifically interpret the meaning of the column percentage found in the “Netflix” and “18-35” cell. Note that there are 74 observations in that cell. Problem 2: Streaming Services Survey At the next board meeting, the marketing researcher will present the findings from the survey to the executives of the subscription service in an organized and easy to view manner. Use the “Streaming Services Survey” data set posted in our StatCrunch group to answer the following questions. a)Using the variable named “Streaming Subscription”, produce a relative frequency Pareto chart using Graph Bar Plot With Data. Remember to order the bars by changing “Order by” to Count Descending. Properly title and label your graph and copy it into your solutions document. b)Using the variable “Streaming Subscription”, produce a frequency bar chart. Properly title and label your graph and copy it into your solutions document. c)Using the variable “Streaming Subscription”, produce a Pie Chart using Graph Pie Chart With Data. Add an appropriate title and copy this entire graph including the legend into your solutions document. d)Using the variable “Streaming Subscription”, produce a Pie Chart only for individuals in the “18-35” age range using Graph Pie Chart With Data. To the right of the box marked “Where:” click the “Build” button. Under “Columns:” click on “Age” and click “Add Column” to bring it to the box. Next, click the equal sign (=) on the calculator section. Then, click the arrow at right end of the “Values:” box to get a drop down menu and select “18-35” and click “Add.” Finally, click Okay. Add an appropriate title and copy this entire graph including the legend into your solutions document. e)Explain how the percentages displayed for “Disney+” differ based on the calculations from both Pie Charts in part (c) and part (d). f)Now produce a grouped relative frequency bar chart (to copy to your solutions document) by following the directions below.Go to Graph Bar Plot With Data.For this grouped bar chart, graph the variable “Streaming Subscription” and group by “Age.” To group by a particular variable click the arrow next to the “Group by:” box (the third box down) and from the drop down menu select the variable you are asked to group by. In the “Type:” box (5th box down from the top) choose “Relative Frequency (within category).” Title this graph clearly. You may keep the default labels for the x and y-axis. Copy this graph including the legend into your solutions document.g)For this next grouped bar chart, graph the variable “Age” and group by “Streaming Subscription.” Again, in the Type box (5th box down from the top) choose “Relative Frequency (within category).” Title this graph clearly. You may keep the default labels for the x and y-axis. Copy this graph including the legend into your solutions document.h)The two graphs you made in 2(f) and 2(g) are another representation of row and column percentage two-way tables. If we consider the row variable to be “Streaming Subscription” and the column variable to be “Age,” which graph would correspond to a row percentage two-way table and which graph would correspond to the column percentage two-way table? Answer in two complete sentences. You may create these two-way tables for this data set to help you answer the questions, but the tables do not need to be copied into your solutions document.i)Which graph that you created in Problem 2 would you recommend the marketing researcher present to the executives at the meeting? Include your choice and a compelling argument in two to three sentences. Problem 3: Age at Death of Australian MalesThe Australian Bureau of Statistics collects data on the age of death for every individual in their country yearly. A sample of 1000 male ages at death were taken from the year 2011 and data are provided under the title “Sample of Ages at Death” in StatCrunch. a)Create a frequency histogram for the variable “Age” by using Graph Histogram. Properly title and label your graph and copy it into your solutions document.b)Interpret the shape of this distribution in one complete sentence.c)Use StatCrunch to obtain the sample size (n), mean, and standard deviation for the “Age” variable by using Stat Summary Stats Columns. Note: in the Statistics box, select the summary statistics listed above in the exact order given. Copy the entire table into your solutions document and manually round each value to two decimal places when necessary.d)Use StatCrunch to obtain the five number summary and the IQR for the “Age” variable (the five number summary includes Min, Q1, Median, Q3, Max). Go to Stat Summary Stats Columns to obtain these values. Note: in the Statistics box, select the summary statistics listed above in the exact order given. Copy the entire table into your solutions document.e)Choose the appropriate summary statistics for center and spread (presented in either 3(c) or 3(d)) based on your stated shape of the distribution in 3(b). Please define the names of the statistics and their values in your answer.f)Use your summary statistics from part 3(d) and determine the fences used to mathematically identify outliers for the “Age” variable. To do this, type all steps in your calculations manually, including how you obtained the upper and lower fences.g)Construct a horizontally oriented boxplot of the “Age” variable by using Graph Boxplot. To do this, under “Other options:” click the “Draw boxes horizontally” button. Properly title and label and copy this graph into your solutions document.h)How many outliers do you identify (please use both the boxplot and your results from 3(f) to answer this question)? Hint: you can sort your data by “Age” (using Data Sort in StatCrunch) to get the correct number or hover your cursor over the box of the boxplot. Write your answer explanation in one to two sentences.Problem 4: Distance a Car Travels An individual in the market for a new car is considering both electric and gas powered vehicles. Specifically, two cars the individual wants to compare are the 2020 Tesla Model Y and the 2020 Toyota Corolla. A variable of interest to the individual is how far each car can travel on a full battery charge or a full tank of gas. Data were collected from 40 identical trips in each car. For each car, the distance the car traveled in miles was recorded using a full battery charge or a full tank of gas. The data set “Distance Traveled: Electric vs. Gas” presented the data collected.a)Construct a relative frequency histogram on the “Distance” variable. Properly title and label your graph. Copy and paste this graph into your solutions document.b)Describe the shape of the distribution of the “Distance” variable in context in one sentence.c)Now construct two separate relative frequency histograms for the “Distance” variable – one for each car type. Click on Options in the top left corner and select Edit. Under the “Group by:” option, select “Car”. Below the titling area, under “For multiple graphs:” change “Columns per page” from 1 to 2. Also, select the “Use same X-axis” and “Use same Y-axis” options. Finally, click Compute! Copy and paste these graphs into your solutions document.d)Describe the shape of the distribution of the “Distance” variable for each car in context in one sentence. e)Compare your description in part (d) with your description in part (b)? Provide a one sentence explanation on what you believe occurred.f)Based on your histograms in part (c), generally compare the centers and spreads of each distribution (use comparative language). Answer in two sentences.g)Use StatCrunch to obtain sample size (n), the mean, and standard deviation of the “Distance” variable by “Car” (using “Group by:”). Copy and paste the table into your solutions document. Round your answers to one decimal place.For parts 4(h)-4(j), determine how well the Empirical Rule does in predicting the percentage of observations within some number of standard deviations of the mean.h)Use your rounded summary statistics for “Toyota” from part 4(g) to calculate the interval corresponding to one, two, and three standard deviations about the mean Distance. Type your work showing how you obtained these intervals. Clearly label and list these three intervals in your solutions document as shown below:68% interval (lower value, upper value) 95% interval (lower value, upper value) 99.7% interval (lower value, upper value)i)Use StatCrunch to determine the frequency AND percentage of observations falling in each of these intervals by following the instructions listed below or using another appropriate counting method. Properly label and list these counts and percentages in your solutions document.Go to Data Row Selection Interactive Tools. In the Slider selectors box, click the variable “Distance” into the variable box. In the Category selectors box, click the variable “Car” into the variable box. Click Compute! to open the tool.The box that appears has a slider under the words Distance that allows you to create ranges of scores that you determined in 4(h). Under Location, you can select whether you want to use Tesla or Toyota (here select only Toyota). Use the slider to obtain the count for each interval from 4(h) by looking at the “# rows selected” presented in the first line of the box. Hint: click on the square bounds of the interval and use your arrow keys for more control. Calculate the percentages from the counts you obtained for each interval and include them in your solutions document.j)Do each of the three percentages found in part 4(i) match what the Empirical Rule predicts? Compare your results in 4(i) with the expected percentage stated in the Empirical Rule. State your answer in three sentences (one sentence for each comparison).k)Suppose the individual purchases the Toyota and traveled 344 miles on a full tank of gas. Use your rounded summary statistics from 4(g), calculate the z-score of this value and explain in a complete sentence what this z-score indicates. Round the z-score to two decimal places.l)Now suppose the individual purchases the Tesla and travels 344 miles on a full change. Use your rounded summary statistics from 4(g), calculate the z-score of this value and explain in a complete sentence what this z-score indicates. Round the z-score to two decimal places.
3 pages
Poisson Dist
I agree that the Poisson distribution best depicts predicts employee turnover every year. The Poisson distribution is usef ...
Poisson Dist
I agree that the Poisson distribution best depicts predicts employee turnover every year. The Poisson distribution is useful in predicting employee ...
Limits and Continuity (23 Multiple Choice)
1.Using the graph of f(x) below, find (4 points) −5Does not exist01.72.Find . (4 points)0Does not exist3.What is ? (4 ...
Limits and Continuity (23 Multiple Choice)
1.Using the graph of f(x) below, find (4 points) −5Does not exist01.72.Find . (4 points)0Does not exist3.What is ? (4 points)∞0−4−∞4.What is ? (4 points)0-101Does not exist5.Find the limit of the function by using direct substitution (4 points)Does not exist05-51.If and , then . (4 points)TrueFalse2.Find the limit of the function algebraically. (4 points)5110Does not exist3.Find . (4 points)210Does not exist4.Evaluate . (4 points)-110Does not exist5.Evaluate . (4 points)01Does not exist1.Evaluate (6 points)∞−∞02.Find the equation of the horizontal asymptote for the function, . (7 points)There is no horizontal asymptote.y = 0y = 1y = x3.Which of the following is false for ? (7 points)The y-axis is not an asymptote of f(x).The x-axis is an asymptote of f(x).x = -1 is not an asymptote of f(x).x = 1 is an asymptote of f(x).1.To two decimal places, find the value of k that will make the function f(x) continuous everywhere. (4 points)1.889.003.76None of these2.Where is discontinuous? (4 points)-2-2, 44f(x) is continuous everywhere3.Is the function continuous? (4 points)YesNo4.List the discontinuities for the function f(x) = cot( ). (4 points)n( ), where n is an integern( ), where n is an integern( ), where n is an integerThere are no discontinuities.5.Which of the following is true for ? (4 points)There is a non-removable discontinuity at x = 2.There is a removable discontinuity at x = 2.The function is continuous for all real numbers.1.What is the instantaneous slope of y = at x = -3? ( 4 points)2.What is the average rate of change of y with respect to x over the interval [-2, 6] for the function y = 5x + 2? (4 points)52103.What is the slope for the function y = -5x2 + 2 at the point x = 1? (4 points)-5-10-3The slope cannot be determined.4.The surface area, S, of a sphere of radius r feet is S = S(r) = 4πr2. Find the instantaneous rate of change of the surface area with respect to the radius r at r = 4. (4 points)32π16π64π4π5.A ball is thrown vertically upward from the top of a 100 foot tower, with an initial velocity of 10 ft/sec. Its position function is s(t) = -16t2 + 10t + 100. What is its velocity in ft/sec when t = 2 seconds? (4 points)-32-38-5480
Rational function
Assignment 6.1: Evaluating Polynomial and Rational Functions Complete the following problems: Be sure to show all work. ...
Rational function
Assignment 6.1: Evaluating Polynomial and Rational Functions Complete the following problems: Be sure to show all work. Find the vertex and intercepts of the following quadratic functions. State whether the parabola opens up or down. Use this information to sketch the graph.You have 300 feet of fencing to enclose a rectangular lot. Find the dimensions of the rectangle that will maximize the enclosed area. What is the largest area that can be enclosed? Use the leading coefficient test to determine the end behavior of the following polynomial functions.Use the intermediate value theorem to show each polynomial has a real zero between the given integers.Divide using either long division or synthetic division. ; between 1 and 4 ; between –1 and 0 Find all zeros of polynomial functions given. Use whatever method(s) that you choose.
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