Description
Of the following, which is greater than ½ ?
Indicate ALL such fractions.
A. 2/5
B. 4/7
C. 4/9
D. 5/11
E. 6/13
F. 8/15
G. 9/17
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MAC 2105 Keiser University Week 2 Maths Worksheet
Need assistance in completed this week 2 of assignments. Week 2 Algebra Talk Variation is a great example of how mathemati ...
MAC 2105 Keiser University Week 2 Maths Worksheet
Need assistance in completed this week 2 of assignments. Week 2 Algebra Talk Variation is a great example of how mathematics is used to model and solve real-world problems. Many fields of study contain examples of the three different kinds of variation:Direct variation (for example, y = kx)Inverse variation (for example, y = k/x)Joint variation (for example, z = kxy)Definition of Joint VariationJoint variation is the same as direct variation with two or more quantities.That is:Joint variation is a variation where a quantity varies directly as the product of two or more other quantities.Let's first understand direct variation.Direct variation occurs when two quantities change in the same manner.That is:Increase in one quantity causes an increase in the other quantity.Decrease in one quantity causes a decrease in the other quantity.For example:The cost of a pencil and the number of pencils you buy.Buy more pay more….Buy less pay less.Direct variation between variables x and y can be expressed as:y = kx, where ' k' is the constant of variation and k ≠ 0.y = kxz represents joint variation. Here, y varies jointly as x and z.
More Examples on Joint Variationy = 7xz, here y varies jointly as x and z.y = 7x2z3, here y varies jointly as x2 and z3."Math DictionaryThe variable is in the bottom of a fraction or in the denominator. (The Opposite of Direct Variation) In an inverse variation, the values of the two variables change in an opposite manner - as one value increases, the other decreases. For example, a biker traveling at 8 mph can cover 8 miles in 1 hour. If the biker's speed decreases to 4 mph, it will take the biker 2 hours (an increase of one hour), to cover the same distance. Please start by addressing one or more of the following topics to get the discussion going:How would you describe the difference between direct variation and joint variation in words? Use examples to help illustrate.Pick a field of study of interest to you and give an example of variation in that field. Some possible areas to consider are: Economics, Finance, Geometry and Physics. Example: If your hourly pay rate is $15/hour, then your weekly pay p is given by the formula p=15h where h is the number of hours worked in a week. So, your weekly pay varies directly as the number of hours worked in a week with the constant of variation = 15.Most formulas are actually examples of variation. Pick a well-known formula and describe the type of variation as well as the constant of variation, k. Example: The area A of a triangle with base b and height h is given by the formula A=½bh. So, the area of a triangle varies jointly as the base and height (both direct) with the constant of variation = ½.Give an example from real life where composite functions are utilized. For ideas, you may look it up on the internet or find examples in the book. Week 2 Weekly Summary When posting here in the Weekly Summary section please do not post "answers only" but rather show how you obtained your answers in a step by step manner. If your solution is correct, it is in your best interest for us to see how you obtained the answer. If your solution is incorrect, showing your steps will help us to follow your process and we can then work together to find your mistake. No bonus points will be awarded for answers without explanations.A maximum of 5 or .25% bonus points will be awarded for 5 correct answers with step by step explanations.The weekly summary answers and explanations will be posted in the Announcement section by Friday of each week. Please try to work each problem without pasting and copying or you will defeat your purpose of learning. Credit will only be given for "original" work. Please feel free to study the explanations, learn the problem, and create your own step-by-step explanation for bonus points . You may post your explanations throughout the term (please remind your instructor in the General Questions thread to grade your problems if you have posted after Sunday).NOTE: You may submit a photo of your neat, hand-written work rather than a Word Document. Find the vertex of the parabola f(x) = x2 - 16x + 63.Find the x- and y-intercepts of the cubic function f(x) = (x+4)(2x-1)(x-1).If f(x) = x2-2x-24 and g(x) = x2-x-30, find (f-g)(x).If f(x) = x+4 and g(x) = 2x2-x-1, evaluate the composition (g o f)(2).If f(x) = x+4 and g(x) = 2x2-x-1, find the composition (f o g)(x).Write the following sentence as an equation: y varies directly as x.Write the following sentence as an equation: x is directly proportional to y and is inversely proportional to the cube of z.What are the zeros of the parabola: f(x) = x2 - 7x + 10 (that is, what are the x-intercepts or the points where the graph crosses the x-axis)?What is the vertical asymptote of the rational function f(x) = 3x / (2x - 1)?What is the horizontal asymptote of the rational function f(x) = 3x / (2x - 1)?
2 pages
Variables And Level Of Measurements
Define the IV and DV and level of measurement in the following examples. Specifically note whether the variables are nomin ...
Variables And Level Of Measurements
Define the IV and DV and level of measurement in the following examples. Specifically note whether the variables are nominal, ordinal, interval, or ...
You will review both quantitative and qualitative research. The topic is up to you as long as you choose a peer-reviewed, academic research piece. I suggest choosing a topic that is at least in the same family as your expected dissertation topic so that
Topic would be Leadership in any IT Analysis.Please use APA formatting and include the following information:Introduction/ ...
You will review both quantitative and qualitative research. The topic is up to you as long as you choose a peer-reviewed, academic research piece. I suggest choosing a topic that is at least in the same family as your expected dissertation topic so that
Topic would be Leadership in any IT Analysis.Please use APA formatting and include the following information:Introduction/Background: Provide context for the research article. What led the author(s) to write the piece? What key concepts were explored? Were there weaknesses in prior research that led the author to the current hypothesis or research question?Methodology: Describe how the data was gathered and analyzed. What research questions or hypotheses were the researcher trying to explore? What statistical analysis was used? (choose any statistic methods in decision making eg: Oneway ANOVA, Chi-square tests, linear regression ect.)Study Findings and Results: What were the major findings from the study? Were there any limitations?Conclusions: Evaluate the article in terms of significance, research methods, readability and the implications of the results. Does the piece lead into further study? Are there different methods you would have chosen based on what you read? What are the strengths and weaknesses of the article in terms of statistical analysis and application? (This is where a large part of the rubric is covered.) References
Mat154 Statistics Project
Problem: Consider one way of modeling a problem. Say you have a device and in any given year, there is a 1 in 6 chance t ...
Mat154 Statistics Project
Problem: Consider one way of modeling a problem. Say you have a device and in any given year, there is a 1 in 6 chance that the device will fail. One question is, “On average, how long will it be before such a device fails?” This sort of problem is what will be modeled and analyzed here.Part 1 [Excel] (Empirical Analysis): Simulate 20 repetitions of obtaining a value for , that is, roll until a 1 is rolled, record the result and repeat this 20 times. For example, if you roll , then record 4 since 4 rolls were required. You can complete this using a die or simulating using Excel, Python, or some other option, e.g., Random.org. Record your rolls and counts.Compute the mean and standard deviation of your values for . Given the modeling problem we started with, interpret the mean and standard deviation you found in terms of how many years are expected before the device fails. Excel might be used for this part as it makes the calculations, recording of data, etc. very simple. However, it is not required.Part 2 [Excel] (Theoretical Analysis - Approximations): Compute approximations to expected value, variance, and standard deviation of the random variable . See the additional notes for discussion on these computations, in brief: = the probability of rolling something other than a 1 )-times, then rolling a 1 on the th throw. Make a table for the first 20 values: , the probability that you get the first 1 in at most 20 rolls. using the first 20 values for , namely . using the first 20 terms. For this, use and then use this and the above to get a rough approximation of . using the first 20 terms.Repeat the third item of Part 1:Given the modeling problem we started with, interpret and in terms of how many years are expected before the device fails. 1 2 … 20 Totals Use this table to computePart 3 [Written] (Theoretical Analysis – Exact Computations – (Optional)): Compute the expected value, variance, and standard deviation of the random variable . See the additional notes for discussion on these computations, in brief: (Expected Value) (Variance) (Standard Deviation) Hint: For computing these without directly manipulating the infinite summations that appear in the definitions of and , let be the event that a 1 is rolled on the first throw and be the complementary event, namely, that a 1 is not rolled on the first throw. It is clear that since what is rolled after the first roll is just like starting over. It is also clear that . The Law of Total Expectation (see notes) gives: This makes it quite simple to find . A similar “trick” can be used to find , here you will use .Again, the Law of Total Expectation gives: and from this it is simple to compute .
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MAC 2105 Keiser University Week 2 Maths Worksheet
Need assistance in completed this week 2 of assignments. Week 2 Algebra Talk Variation is a great example of how mathemati ...
MAC 2105 Keiser University Week 2 Maths Worksheet
Need assistance in completed this week 2 of assignments. Week 2 Algebra Talk Variation is a great example of how mathematics is used to model and solve real-world problems. Many fields of study contain examples of the three different kinds of variation:Direct variation (for example, y = kx)Inverse variation (for example, y = k/x)Joint variation (for example, z = kxy)Definition of Joint VariationJoint variation is the same as direct variation with two or more quantities.That is:Joint variation is a variation where a quantity varies directly as the product of two or more other quantities.Let's first understand direct variation.Direct variation occurs when two quantities change in the same manner.That is:Increase in one quantity causes an increase in the other quantity.Decrease in one quantity causes a decrease in the other quantity.For example:The cost of a pencil and the number of pencils you buy.Buy more pay more….Buy less pay less.Direct variation between variables x and y can be expressed as:y = kx, where ' k' is the constant of variation and k ≠ 0.y = kxz represents joint variation. Here, y varies jointly as x and z.
More Examples on Joint Variationy = 7xz, here y varies jointly as x and z.y = 7x2z3, here y varies jointly as x2 and z3."Math DictionaryThe variable is in the bottom of a fraction or in the denominator. (The Opposite of Direct Variation) In an inverse variation, the values of the two variables change in an opposite manner - as one value increases, the other decreases. For example, a biker traveling at 8 mph can cover 8 miles in 1 hour. If the biker's speed decreases to 4 mph, it will take the biker 2 hours (an increase of one hour), to cover the same distance. Please start by addressing one or more of the following topics to get the discussion going:How would you describe the difference between direct variation and joint variation in words? Use examples to help illustrate.Pick a field of study of interest to you and give an example of variation in that field. Some possible areas to consider are: Economics, Finance, Geometry and Physics. Example: If your hourly pay rate is $15/hour, then your weekly pay p is given by the formula p=15h where h is the number of hours worked in a week. So, your weekly pay varies directly as the number of hours worked in a week with the constant of variation = 15.Most formulas are actually examples of variation. Pick a well-known formula and describe the type of variation as well as the constant of variation, k. Example: The area A of a triangle with base b and height h is given by the formula A=½bh. So, the area of a triangle varies jointly as the base and height (both direct) with the constant of variation = ½.Give an example from real life where composite functions are utilized. For ideas, you may look it up on the internet or find examples in the book. Week 2 Weekly Summary When posting here in the Weekly Summary section please do not post "answers only" but rather show how you obtained your answers in a step by step manner. If your solution is correct, it is in your best interest for us to see how you obtained the answer. If your solution is incorrect, showing your steps will help us to follow your process and we can then work together to find your mistake. No bonus points will be awarded for answers without explanations.A maximum of 5 or .25% bonus points will be awarded for 5 correct answers with step by step explanations.The weekly summary answers and explanations will be posted in the Announcement section by Friday of each week. Please try to work each problem without pasting and copying or you will defeat your purpose of learning. Credit will only be given for "original" work. Please feel free to study the explanations, learn the problem, and create your own step-by-step explanation for bonus points . You may post your explanations throughout the term (please remind your instructor in the General Questions thread to grade your problems if you have posted after Sunday).NOTE: You may submit a photo of your neat, hand-written work rather than a Word Document. Find the vertex of the parabola f(x) = x2 - 16x + 63.Find the x- and y-intercepts of the cubic function f(x) = (x+4)(2x-1)(x-1).If f(x) = x2-2x-24 and g(x) = x2-x-30, find (f-g)(x).If f(x) = x+4 and g(x) = 2x2-x-1, evaluate the composition (g o f)(2).If f(x) = x+4 and g(x) = 2x2-x-1, find the composition (f o g)(x).Write the following sentence as an equation: y varies directly as x.Write the following sentence as an equation: x is directly proportional to y and is inversely proportional to the cube of z.What are the zeros of the parabola: f(x) = x2 - 7x + 10 (that is, what are the x-intercepts or the points where the graph crosses the x-axis)?What is the vertical asymptote of the rational function f(x) = 3x / (2x - 1)?What is the horizontal asymptote of the rational function f(x) = 3x / (2x - 1)?
2 pages
Variables And Level Of Measurements
Define the IV and DV and level of measurement in the following examples. Specifically note whether the variables are nomin ...
Variables And Level Of Measurements
Define the IV and DV and level of measurement in the following examples. Specifically note whether the variables are nominal, ordinal, interval, or ...
You will review both quantitative and qualitative research. The topic is up to you as long as you choose a peer-reviewed, academic research piece. I suggest choosing a topic that is at least in the same family as your expected dissertation topic so that
Topic would be Leadership in any IT Analysis.Please use APA formatting and include the following information:Introduction/ ...
You will review both quantitative and qualitative research. The topic is up to you as long as you choose a peer-reviewed, academic research piece. I suggest choosing a topic that is at least in the same family as your expected dissertation topic so that
Topic would be Leadership in any IT Analysis.Please use APA formatting and include the following information:Introduction/Background: Provide context for the research article. What led the author(s) to write the piece? What key concepts were explored? Were there weaknesses in prior research that led the author to the current hypothesis or research question?Methodology: Describe how the data was gathered and analyzed. What research questions or hypotheses were the researcher trying to explore? What statistical analysis was used? (choose any statistic methods in decision making eg: Oneway ANOVA, Chi-square tests, linear regression ect.)Study Findings and Results: What were the major findings from the study? Were there any limitations?Conclusions: Evaluate the article in terms of significance, research methods, readability and the implications of the results. Does the piece lead into further study? Are there different methods you would have chosen based on what you read? What are the strengths and weaknesses of the article in terms of statistical analysis and application? (This is where a large part of the rubric is covered.) References
Mat154 Statistics Project
Problem: Consider one way of modeling a problem. Say you have a device and in any given year, there is a 1 in 6 chance t ...
Mat154 Statistics Project
Problem: Consider one way of modeling a problem. Say you have a device and in any given year, there is a 1 in 6 chance that the device will fail. One question is, “On average, how long will it be before such a device fails?” This sort of problem is what will be modeled and analyzed here.Part 1 [Excel] (Empirical Analysis): Simulate 20 repetitions of obtaining a value for , that is, roll until a 1 is rolled, record the result and repeat this 20 times. For example, if you roll , then record 4 since 4 rolls were required. You can complete this using a die or simulating using Excel, Python, or some other option, e.g., Random.org. Record your rolls and counts.Compute the mean and standard deviation of your values for . Given the modeling problem we started with, interpret the mean and standard deviation you found in terms of how many years are expected before the device fails. Excel might be used for this part as it makes the calculations, recording of data, etc. very simple. However, it is not required.Part 2 [Excel] (Theoretical Analysis - Approximations): Compute approximations to expected value, variance, and standard deviation of the random variable . See the additional notes for discussion on these computations, in brief: = the probability of rolling something other than a 1 )-times, then rolling a 1 on the th throw. Make a table for the first 20 values: , the probability that you get the first 1 in at most 20 rolls. using the first 20 values for , namely . using the first 20 terms. For this, use and then use this and the above to get a rough approximation of . using the first 20 terms.Repeat the third item of Part 1:Given the modeling problem we started with, interpret and in terms of how many years are expected before the device fails. 1 2 … 20 Totals Use this table to computePart 3 [Written] (Theoretical Analysis – Exact Computations – (Optional)): Compute the expected value, variance, and standard deviation of the random variable . See the additional notes for discussion on these computations, in brief: (Expected Value) (Variance) (Standard Deviation) Hint: For computing these without directly manipulating the infinite summations that appear in the definitions of and , let be the event that a 1 is rolled on the first throw and be the complementary event, namely, that a 1 is not rolled on the first throw. It is clear that since what is rolled after the first roll is just like starting over. It is also clear that . The Law of Total Expectation (see notes) gives: This makes it quite simple to find . A similar “trick” can be used to find , here you will use .Again, the Law of Total Expectation gives: and from this it is simple to compute .
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