Calculate the perimeter and area of a sector of a circle

1 True or False a 4x 2y 4y 2x b 4x 1 4y 4y 1 4 x c x y y x d 4xy 4yx

There are 10 400 students at JSU If 40 percent of the students live on campus select the correct method to be used to calculate the number of students living on campus and find the answer a 40 x 10 400 b 1 40 x 10 400 C 2 5 x 10 400 d 5 x 10 400 4 The area of a rectangle is represented by A Lx W If the area is equal to 28 which expression represents W a 28L b 28 L C L 28 d A 28L F What is the additive inverse of 1 3x What is the multiplicative inverse of 1 3x You need to replace a board on your front porch which is 10 3 feet long If the board I you purchased is 12 feet long how much do you need to cut off in order to have the correct size for the replacement board 424 2 4 2 424 53 424 2 424 2 424 4 12 2

display results from a test of the claim that hall of us say that we should replace passwords with biometric security Use the normal distribution as an approximation to the binomial distribution Use the display and a 0 10 significance level to complete pers a through e a is the best two tailed bolt tailed or right bailed Choose the correct answer below leit tailed two tailed right tailed b What is the test statistic 21 27 Round to two decimal places as needed c What is the P value P value 0 205 Round to three decimal places as needed d What is the null hypothesis and what do you conclude about it The null hypothesis is Ho P 05 where p denotes the population proportion of people who say that we should replace passwords with biomeline security Fail to act the not hypothes Type an integer or a decimal Do not round

evenue Mo s HookNLadder is the only company selling fire engines in the fictional country of Alexandrina Mo initially produced eight trucks but then decided to increase production to nine trucks The following graph gives the demand curve faced by Mo s HookNLadder As the graph shows in order to sell the additional fire truck Mo must lower the price from 80 000 to 60 000 per truck Notice that Mo gains revenue from the sale of the additional engine but at the same time he loses revenue from the initial eight engines because they are all sold at the lower price Use the purple rectangle diamond symbols to shade the area representing the revenue lost from the initial eight engines by selling at 60 000 rather than 80 000 Then use the green rectangle triangle symbols to shade the area representing the revenue gained from selling an additional engine at 60 000 110 100 90 22 80 70 PRICE Thousands of dollars per fire engine 60 50 40 30 20 10 O Revenue Lost Demand 2 3 4 5 6 7 8 9 10 QUANTITY Fire engines Revenue Gained Mo increase production from 8 to 9 fire engines because the dominates in this scenario True or False If alternatively Mo s HookNLadder were a competitive firm and 80 000 were the market price for an engine decreasing its price from 80 000 to 60 000 would result in the same change in the production quantity and thus total revenue O True

b A paint company has developed a new paint formula which should have a faster drying time compared to the old formula Paint drying time is known to be normally distributed and from previous tests it is known that the original paint formula has a mean drying time of 45 min The company s R D scientists believe the new formula will have a mean drying time of 235 min that is they expect the new formula to dry an average of 10 min faster than the old formula or that 10 They aren t sure what the population variances are yet but the new formula is not expected to affect the variance in drying time A scientist takes 10 samples of each paint formula and determines the mean drying time for each batch to be X 45 min and X2 34 min with sample variances equal to s 6 5 min and s 4 4 min respectively Find a 95 confidence interval on the difference in average lifetime between the two populations

5 4 3 3 3 22 1 2 1 2 3 4 2 3 14 5 6 Identify the function whose graph appears above f x

K Use the results from a survey of a simple random sample of 1038 adults Among the 1038 respondents 88 rated themselves as above average drivers We want to test the claim that more than themselves as above average drivers Complete parts a through e 17 of adults ra 20 a Regardless of the conclusion reached from the hypothesis test is it possible that more than of adults can be above average drivers 20 A Yes Assuming quality of driving can be quantified a distribution that is extremely skewed to the left would be the most promising scenario for more than this proportion of adults to have driving quality that is above the mean B No Assuming quality of driving can be quantified half of all adults must have driving quality less than or equal to the mean OC Yes Assuming quality of driving can be quantified a distribution that is extremely skewed to the right would be the most promising scenario for more than this proportion of adults to have driving quality that is above the mean COD No It is impossible to compare the quality of different adults driving b If we use the same significance level to conduct the hypothesis test using the P value method the critical value method and a confidence interval which method is not always equivalent to the other two A The P value method is not always equivalent to the other two B The confidence interval method is not always equivalent to the other two CC The critical value method is not always equivalent to the other two OD All three methods are always equivalent to each other c It was stated that we can easily remember how to interpret P values with this If the P is low the null must go What does this mean This statement means that if the is low in relation to then one should

engineer takes a sample of 10 batteries and calculates a sample variance of 1 3 hr2 Find a 99 confidence interval on the population variance o 0 b A school district wants to evaluate the effectiveness of a new teaching method for improving students math scores A sample of 25 students is randomly selected and their math scores are measured before and after the new teaching method is implemented The sample standard deviation of the differences in math scores is 5 2 points Find a 90 confidence interval on the population variance o

In a study of 809 randomly selected medical malpractice lawsuits them were dropped or dismissed Use a 0 01 significance level to test the claim that mos medical malpractice lawsuits are dropped or dismissed Which of the following is the hypothesis test to be conducted OA Ho p 0 5 H p 0 5 c Ho p 0 5 H p 0 5 E Ho p 0 5 H p 0 5 What is the test statistic Z B Ho p 0 5 H p 0 5 OD Ho p 0 5 H p 0 5 OF Ho p 0 5 p H p 0 5

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line about the line x 6 209 Volume TC 3 y x x y