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- Compare and contrast the different methods for factoring trinomials of the form ax2 + bx + c.
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FACTORING TRINOMIALS
A trinomial is an algebraic expression. The expressions are written in different forms
that include ax2 + bx + c and x3 or x4. There are different methods on how to factor quadratic
trinomials. The methods include
1) Foil multiplication
2) Factoring ...
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SDCC Sample Z Confidence Interval Worksheet
Which IAT data set are you working with?Use StatCrunch and your unique IAT sample to estimate the mean age for the populat ...
SDCC Sample Z Confidence Interval Worksheet
Which IAT data set are you working with?Use StatCrunch and your unique IAT sample to estimate the mean age for the population of IAT participants at the 90% confidence level. Copy the contents of your StatCrunch output window and paste it into your response. (No need to type anything here - just copy and paste the contents of your StatCrunch output window.)Are conditions met to estimate the mean age for the population of IAT participants? (Be sure to support your answer as demonstrated throughout Unit 8.)State the confidence interval, and then interpret the confidence interval in context.What is the margin of error (MOE)? Which would be more accurate, the 90% confidence interval you found or an 85% confidence interval? Briefly explain. Which would be more precise? Briefly explain.Question 2At the end of 2020, the mean age of the U.S. population was estimated to be 38.5 years old. You are tasked with determining whether the mean age of the population of IAT participants (for your chosen IAT data set) differs from the mean age of the U.S. population.Let be the mean age of the population of IAT participants for your chosen IAT data set. State the hypotheses (symbolically and in words). Include a clear description of the populations and the variable.Use StatCrunch to create a histogram for the age distribution in your unique IAT sample. Download the StatCrunch output window and embed your histogram with your response. Can we safely use the t-test with your IAT sample? Explain.Perform the t-test using StatCrunch. Copy the information from the StatCrunch output window and paste it into your response.Based on the P-value, state your conclusions in context. Use a 5% level of significance. (NOTE: Since StatCrunch correctly calculates the P-value for either a one-tailed or a two-tailed test, you do not need to change the StatCrunch P-value.) Using the context of this scenario, explain the meaning of each of following items from the StatCrunch output for the hypothesis test.Std. Err (standard error)T-stat (T-score)P-valueQuestion 3Prepare to work through Question 3See the Variables for Question 3 Only section above to learn which variables to use for your chosen IAT data set.Choose only one of the categorical variables listed for your chosen IAT data set and note the two groups for your chosen categorical variable.Here is the question to be investigated for the two groups in your chosen categorical variable.Do the population of IAT participants in one group score higher on the IAT test than the population of IAT participants in the other group?To answer the question we are investigating, respond to each of the followingUse StatCrunch to determine the sample size and sample mean, , for the two groups in your chosen categorical variable (directions).Copy your StatCrunch output table and paste into your response. Then relabel the categorical variable groups with the appropriate word(s), i.e. replace the group numbers with the appropriate word(s) to describe the group (see the Categorical Variable section above for your data set).Which of the two groups has the smallest sample mean? Which has the largest sample mean?Let 𝜇1μ1 be the population mean for the group with the largest sample mean. Let 𝜇2μ2 be the population mean for the group with the smallest sample mean. State the null and alternative hypotheses (symbolically and in words). Include a clear description of the populations and the variable.To test your hypotheses, is it appropriate to use the two-sample T-test? If so, explain why and provide any supporting evidence. If not, start over and choose the other categorical variable listed with your chosen IAT data set.WARNING: If it is not appropriate to use the two-sample T-test for either of the categorical variables listed with your IAT data set, something may be wrong. Stop and contact me as soon as possible.Proceed only if it is appropriate to use the two-sample T-test.Use StatCrunch to carry out the test. (directions)Copy the content in the StatCrunch output window (text and the table) and paste it into the textbox as your response to this item. Use a 5% significance level to state a conclusion. Be sure to state your conclusion in context and in terms of what a “more positive score” on the IAT means for your data set. (Hint: in the variables section above, click on the variable descriptions link for your data set. The variable descriptions page opens in a new window. Review the Interpreting the IAT section at the top of that page.
Gender-Career IAT Variables for Question 3Quantitative VariableIAT-Gender-Career: Score on the Gender-Career IATCategorical Variable (choose one)Children: Are you currently the parent or guardian of a child (or children) under 18 living in your home? 1=Yes; 2=No ORBirth-Gender: 1=Male; 2=FemaleORPrimary-Job: During your youth, did your primary caregiver have a job outside the home? 1=Yes; 2=No
need help with discussion question
6-1 Discussion: Confidence IntervalsPrevious Next The B&K Real Estate Company sells homes and is currently serving the Sou ...
need help with discussion question
6-1 Discussion: Confidence IntervalsPrevious Next The B&K Real Estate Company sells homes and is currently serving the Southeast region. It has recently expanded to cover the Northeast states. The B&K realtors are excited to now cover the entire East Coast and are working to prepare their southern agents to expand their reach to the Northeast.B&K has hired your company to analyze the Northeast home listing prices in order to give information to their agents about the mean listing price at 95% confidence. Your company offers two analysis packages: one based on a sample size of 100 listings, and another based on a sample size of 1,000 listings. Because there is an additional cost for data collection, your company charges more for the package with 1,000 listings than for the package with 100 listings.Sample size of 100 listings:95% confidence interval for the mean of the Northeast house listing price has a margin of error of $25,000Cost for service to B&K: $2,000Sample size of 1,000 listings:95% confidence interval for the mean of the Northeast house listing price has a margin of error of $5,000Cost for service to B&K: $10,000The B&K management team does not understand the tradeoff between confidence level, sample size, and margin of error. B&K would like you to come back with your recommendation of the sample size that would provide the sales agents with the best understanding of northeast home prices at the lowest cost for service to B&K.In other words, which option is preferable?Spending more on data collection and having a smaller margin of errorSpending less on data collection and having a larger margin of errorChoosing an option somewhere in the middleFor your initial post:Formulate a recommendation and write a confidence statement in the context of this scenario. For the purposes of writing your confidence statement, assume the sample mean house listing price is $310,000 for both packages. “I am [#] % confident the true mean . . . [in context].”Explain the factors that went into your recommendation, including a discussion of the margin of errorFor your response posts to your peers, choose two different confidence intervals for your responses. Do you think the agents would prefer a different confidence interval than their management? What advantages and disadvantages would there be in having different confidence intervals for the agents? Explain your thought process and reasoning in your response.To complete this assignment, review the Discussion Rubric.
MAT1402 Rasmussen College Probability and Financial Math Questions
For this module's assignment review the following.
In the following problem give your answer using the notation nPr ...
MAT1402 Rasmussen College Probability and Financial Math Questions
For this module's assignment review the following.
In the following problem give your answer using the notation nPr or nCr. You don't have to give an actual numerical answer.
There are 10 athletes entered in a race. If a gold, silver, or bronze medal is given to three of the athletes, in how many ways can one pick the winners of the gold, silver, and bronze medals?
There are 10 athletes entered in a race. If three identical gold medals are given to the group of athletes, in how many ways can one pick the winners of the gold medals?
A card is drawn out of a standard deck of 52 cards. Each card can be described by giving its "rank" (A, 2, 3, 4,...10, J, Q, K) and its "suit" (H for hearts, C for clubs, D for diamonds, and S for spades). For example, 2S denotes the two of spades and KH denotes the king of hearts. Write out the event described by each of the following statements as a set.
E1: "draw a king."
E2: "draw a heart."
E3: "draw a face card." (A "face" card is a jack, queen, or king.)
E4: "draw a joker."
A card is drawn at random out of a well-shuffled deck of 52 cards. Find the probability of each of the following events. (Do problem #2 first.)
E1: "draw a king."
E2: "draw a heart."
E3: "draw a face card." (A "face" card is a jack, queen, or king.)
E4: "draw a joker."
Out of 420 students who took a statistics test, 260 passed. What percentage of the students passed the test?
An employee's hourly wage increased from $11.00 per hour to $13.50 per hour. What is the percentage increase in their wage?
Suppose that you deposit $3,250.00 in a savings account that pays 0.4% annual simple interest. Assuming no withdrawals are made, find the balance in the account after 6 years. Round your answer to the nearest penny.
Suppose that you deposit $3,250.00 in a savings account that pays 0.4% annual interest, with interest credited to the account at the end of each year. Assuming no withdrawals are made, find the balance in the account after 6 years. Round your answer to the nearest penny.
Suppose $3,250.00 is invested in a savings account with an APR of 0.4% compounded monthly. Assuming no withdrawals are made, find the balance in the account after 6 years. Round your answer to the nearest penny.PLEASE USE THE WORKSHEET ATTACHED!
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F18 Signature Assignment Final
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Quantitative Methods
1. The Hoylake Rescue Squad receives an emergency call every 1, 2, 3, 4, 5, or 6 hours, according to the following probabi ...
Quantitative Methods
1. The Hoylake Rescue Squad receives an emergency call every 1, 2, 3, 4, 5, or 6 hours, according to the following probability distribution. The squad is on duty 24 hours per day, 7 days per week: Time Between Emergency Calls (hr.) Probability 1 0.15 2 0.10 3 0.20 4 0.25 5 0.20 6 0.10 1.00 a. Simulate the emergency calls for 3 days (note that this will require a “running” , or cumulative, hourly clock), using the random number table. b. Compute the average time between calls and compare this value with the expected value of the time between calls from the probability distribution. Why are the result different? 2. The time between arrivals of cars at the Petroco Services Station is defined by the following probability distribution: Time Between Emergency Calls (hr.) Probability 1 0.35 2 0.25 3 0.20 4 0.20 1.00 MAT540 Homework Week 3 Page 2 of 3 a. Simulate the arrival of cars at the service station for 20 arrivals and compute the average time between arrivals. b. Simulate the arrival of cars at the service station for 1 hour, using a different stream of random numbers from those used in (a) and compute the average time between arrivals. c. Compare the results obtained in (a) and (b). 3. The Dynaco Manufacturing Company produces a product in a process consisting of operations of five machines. The probability distribution of the number of machines that will break down in a week follows: Machine Breakdowns Per Week Probability 0 0.10 1 0.20 2 0.15 3 0.30 4 0.15 5 0.10 1.00 a. Simulate the machine breakdowns per week for 20 weeks. b. Compute the average number of machines that will break down per week. 4. Simulate the following decision situation for 20 weeks, and recommend the best decision. A concessions manager at the Tech versus A&M football game must decide whether to have the vendors sell sun visors or umbrellas. There is a 30% chance of rain, a 15% chance of overcast skies, and a 55% chance of sunshine, according to the weather forecast in college junction, where the game is to be held. The manager estimates that the following profits will result from each decision, given each set of weather conditions: MAT540 Homework Week 3 Page 3 of 3 Decision Weather Conditions Rain 0.35 Overcast 0.25 Sunshine 0.40 Sun visors $-400 $-200 $1,500 Umbrellas 2,100 0 -800 5. Every time a machine breaks down at the Dynaco Manufacturing Company (Problem 3), either 1, 2, or 3 hours are required to fix it, according to the following probability distribution: Repair Time (hr.) Probability 1 0.20 2 0.50 3 0.30 1.00 Simulate the repair time for 20 weeks and then compute the average weekly repair time.
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SDCC Sample Z Confidence Interval Worksheet
Which IAT data set are you working with?Use StatCrunch and your unique IAT sample to estimate the mean age for the populat ...
SDCC Sample Z Confidence Interval Worksheet
Which IAT data set are you working with?Use StatCrunch and your unique IAT sample to estimate the mean age for the population of IAT participants at the 90% confidence level. Copy the contents of your StatCrunch output window and paste it into your response. (No need to type anything here - just copy and paste the contents of your StatCrunch output window.)Are conditions met to estimate the mean age for the population of IAT participants? (Be sure to support your answer as demonstrated throughout Unit 8.)State the confidence interval, and then interpret the confidence interval in context.What is the margin of error (MOE)? Which would be more accurate, the 90% confidence interval you found or an 85% confidence interval? Briefly explain. Which would be more precise? Briefly explain.Question 2At the end of 2020, the mean age of the U.S. population was estimated to be 38.5 years old. You are tasked with determining whether the mean age of the population of IAT participants (for your chosen IAT data set) differs from the mean age of the U.S. population.Let be the mean age of the population of IAT participants for your chosen IAT data set. State the hypotheses (symbolically and in words). Include a clear description of the populations and the variable.Use StatCrunch to create a histogram for the age distribution in your unique IAT sample. Download the StatCrunch output window and embed your histogram with your response. Can we safely use the t-test with your IAT sample? Explain.Perform the t-test using StatCrunch. Copy the information from the StatCrunch output window and paste it into your response.Based on the P-value, state your conclusions in context. Use a 5% level of significance. (NOTE: Since StatCrunch correctly calculates the P-value for either a one-tailed or a two-tailed test, you do not need to change the StatCrunch P-value.) Using the context of this scenario, explain the meaning of each of following items from the StatCrunch output for the hypothesis test.Std. Err (standard error)T-stat (T-score)P-valueQuestion 3Prepare to work through Question 3See the Variables for Question 3 Only section above to learn which variables to use for your chosen IAT data set.Choose only one of the categorical variables listed for your chosen IAT data set and note the two groups for your chosen categorical variable.Here is the question to be investigated for the two groups in your chosen categorical variable.Do the population of IAT participants in one group score higher on the IAT test than the population of IAT participants in the other group?To answer the question we are investigating, respond to each of the followingUse StatCrunch to determine the sample size and sample mean, , for the two groups in your chosen categorical variable (directions).Copy your StatCrunch output table and paste into your response. Then relabel the categorical variable groups with the appropriate word(s), i.e. replace the group numbers with the appropriate word(s) to describe the group (see the Categorical Variable section above for your data set).Which of the two groups has the smallest sample mean? Which has the largest sample mean?Let 𝜇1μ1 be the population mean for the group with the largest sample mean. Let 𝜇2μ2 be the population mean for the group with the smallest sample mean. State the null and alternative hypotheses (symbolically and in words). Include a clear description of the populations and the variable.To test your hypotheses, is it appropriate to use the two-sample T-test? If so, explain why and provide any supporting evidence. If not, start over and choose the other categorical variable listed with your chosen IAT data set.WARNING: If it is not appropriate to use the two-sample T-test for either of the categorical variables listed with your IAT data set, something may be wrong. Stop and contact me as soon as possible.Proceed only if it is appropriate to use the two-sample T-test.Use StatCrunch to carry out the test. (directions)Copy the content in the StatCrunch output window (text and the table) and paste it into the textbox as your response to this item. Use a 5% significance level to state a conclusion. Be sure to state your conclusion in context and in terms of what a “more positive score” on the IAT means for your data set. (Hint: in the variables section above, click on the variable descriptions link for your data set. The variable descriptions page opens in a new window. Review the Interpreting the IAT section at the top of that page.
Gender-Career IAT Variables for Question 3Quantitative VariableIAT-Gender-Career: Score on the Gender-Career IATCategorical Variable (choose one)Children: Are you currently the parent or guardian of a child (or children) under 18 living in your home? 1=Yes; 2=No ORBirth-Gender: 1=Male; 2=FemaleORPrimary-Job: During your youth, did your primary caregiver have a job outside the home? 1=Yes; 2=No
need help with discussion question
6-1 Discussion: Confidence IntervalsPrevious Next The B&K Real Estate Company sells homes and is currently serving the Sou ...
need help with discussion question
6-1 Discussion: Confidence IntervalsPrevious Next The B&K Real Estate Company sells homes and is currently serving the Southeast region. It has recently expanded to cover the Northeast states. The B&K realtors are excited to now cover the entire East Coast and are working to prepare their southern agents to expand their reach to the Northeast.B&K has hired your company to analyze the Northeast home listing prices in order to give information to their agents about the mean listing price at 95% confidence. Your company offers two analysis packages: one based on a sample size of 100 listings, and another based on a sample size of 1,000 listings. Because there is an additional cost for data collection, your company charges more for the package with 1,000 listings than for the package with 100 listings.Sample size of 100 listings:95% confidence interval for the mean of the Northeast house listing price has a margin of error of $25,000Cost for service to B&K: $2,000Sample size of 1,000 listings:95% confidence interval for the mean of the Northeast house listing price has a margin of error of $5,000Cost for service to B&K: $10,000The B&K management team does not understand the tradeoff between confidence level, sample size, and margin of error. B&K would like you to come back with your recommendation of the sample size that would provide the sales agents with the best understanding of northeast home prices at the lowest cost for service to B&K.In other words, which option is preferable?Spending more on data collection and having a smaller margin of errorSpending less on data collection and having a larger margin of errorChoosing an option somewhere in the middleFor your initial post:Formulate a recommendation and write a confidence statement in the context of this scenario. For the purposes of writing your confidence statement, assume the sample mean house listing price is $310,000 for both packages. “I am [#] % confident the true mean . . . [in context].”Explain the factors that went into your recommendation, including a discussion of the margin of errorFor your response posts to your peers, choose two different confidence intervals for your responses. Do you think the agents would prefer a different confidence interval than their management? What advantages and disadvantages would there be in having different confidence intervals for the agents? Explain your thought process and reasoning in your response.To complete this assignment, review the Discussion Rubric.
MAT1402 Rasmussen College Probability and Financial Math Questions
For this module's assignment review the following.
In the following problem give your answer using the notation nPr ...
MAT1402 Rasmussen College Probability and Financial Math Questions
For this module's assignment review the following.
In the following problem give your answer using the notation nPr or nCr. You don't have to give an actual numerical answer.
There are 10 athletes entered in a race. If a gold, silver, or bronze medal is given to three of the athletes, in how many ways can one pick the winners of the gold, silver, and bronze medals?
There are 10 athletes entered in a race. If three identical gold medals are given to the group of athletes, in how many ways can one pick the winners of the gold medals?
A card is drawn out of a standard deck of 52 cards. Each card can be described by giving its "rank" (A, 2, 3, 4,...10, J, Q, K) and its "suit" (H for hearts, C for clubs, D for diamonds, and S for spades). For example, 2S denotes the two of spades and KH denotes the king of hearts. Write out the event described by each of the following statements as a set.
E1: "draw a king."
E2: "draw a heart."
E3: "draw a face card." (A "face" card is a jack, queen, or king.)
E4: "draw a joker."
A card is drawn at random out of a well-shuffled deck of 52 cards. Find the probability of each of the following events. (Do problem #2 first.)
E1: "draw a king."
E2: "draw a heart."
E3: "draw a face card." (A "face" card is a jack, queen, or king.)
E4: "draw a joker."
Out of 420 students who took a statistics test, 260 passed. What percentage of the students passed the test?
An employee's hourly wage increased from $11.00 per hour to $13.50 per hour. What is the percentage increase in their wage?
Suppose that you deposit $3,250.00 in a savings account that pays 0.4% annual simple interest. Assuming no withdrawals are made, find the balance in the account after 6 years. Round your answer to the nearest penny.
Suppose that you deposit $3,250.00 in a savings account that pays 0.4% annual interest, with interest credited to the account at the end of each year. Assuming no withdrawals are made, find the balance in the account after 6 years. Round your answer to the nearest penny.
Suppose $3,250.00 is invested in a savings account with an APR of 0.4% compounded monthly. Assuming no withdrawals are made, find the balance in the account after 6 years. Round your answer to the nearest penny.PLEASE USE THE WORKSHEET ATTACHED!
5 pages
F18 Signature Assignment Final
The purpose of the assignment is to give you experience critically examining a peer-reviewed journal article. This critiqu ...
F18 Signature Assignment Final
The purpose of the assignment is to give you experience critically examining a peer-reviewed journal article. This critique will focus primarily on ...
Quantitative Methods
1. The Hoylake Rescue Squad receives an emergency call every 1, 2, 3, 4, 5, or 6 hours, according to the following probabi ...
Quantitative Methods
1. The Hoylake Rescue Squad receives an emergency call every 1, 2, 3, 4, 5, or 6 hours, according to the following probability distribution. The squad is on duty 24 hours per day, 7 days per week: Time Between Emergency Calls (hr.) Probability 1 0.15 2 0.10 3 0.20 4 0.25 5 0.20 6 0.10 1.00 a. Simulate the emergency calls for 3 days (note that this will require a “running” , or cumulative, hourly clock), using the random number table. b. Compute the average time between calls and compare this value with the expected value of the time between calls from the probability distribution. Why are the result different? 2. The time between arrivals of cars at the Petroco Services Station is defined by the following probability distribution: Time Between Emergency Calls (hr.) Probability 1 0.35 2 0.25 3 0.20 4 0.20 1.00 MAT540 Homework Week 3 Page 2 of 3 a. Simulate the arrival of cars at the service station for 20 arrivals and compute the average time between arrivals. b. Simulate the arrival of cars at the service station for 1 hour, using a different stream of random numbers from those used in (a) and compute the average time between arrivals. c. Compare the results obtained in (a) and (b). 3. The Dynaco Manufacturing Company produces a product in a process consisting of operations of five machines. The probability distribution of the number of machines that will break down in a week follows: Machine Breakdowns Per Week Probability 0 0.10 1 0.20 2 0.15 3 0.30 4 0.15 5 0.10 1.00 a. Simulate the machine breakdowns per week for 20 weeks. b. Compute the average number of machines that will break down per week. 4. Simulate the following decision situation for 20 weeks, and recommend the best decision. A concessions manager at the Tech versus A&M football game must decide whether to have the vendors sell sun visors or umbrellas. There is a 30% chance of rain, a 15% chance of overcast skies, and a 55% chance of sunshine, according to the weather forecast in college junction, where the game is to be held. The manager estimates that the following profits will result from each decision, given each set of weather conditions: MAT540 Homework Week 3 Page 3 of 3 Decision Weather Conditions Rain 0.35 Overcast 0.25 Sunshine 0.40 Sun visors $-400 $-200 $1,500 Umbrellas 2,100 0 -800 5. Every time a machine breaks down at the Dynaco Manufacturing Company (Problem 3), either 1, 2, or 3 hours are required to fix it, according to the following probability distribution: Repair Time (hr.) Probability 1 0.20 2 0.50 3 0.30 1.00 Simulate the repair time for 20 weeks and then compute the average weekly repair time.
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