1) an apple drops off the apple tree from a height of 8 feet. how long does it take the apple to reach the ground? use the function f(x) = -16x^2 + c, where c is the initial height of a falling object, to find the answer.

2) trinette cut a square tablecloth into 4 equal pieces that she used to make two pillow covers. the area of the tablecloth was 3600 square inches. what is the side length of each piece trinette used to make the pillow covers?

3) elton earns x dollars per hour at the bookstore. his mother, evelyn, earns x^2 dollars per hour as a career counselor. twice evelyn's wage equals $84.50. what is elton's hourly wage? round you answer to the nearest cent.

Apsychology student wishes to investigate differences in political opinions between business majors and political science majors at her college. she randomly selects 100 students from the 260 business majors and 100 students from the 180 political science majors. does this sampling plan result in a simple random sample? why or why not? no, because each group of 200 students in the sample does not have the same chance of being selected. yes, because each group of 200 students in the sample has the same chance of being selected. no, because each individual student does not have an equal chance of being selected. yes, because each individual student has the same chance of being selected.

Which choice has the correct steps in graphing the solution set to the following inequality? -45_> 20x-5y

(20 points) a bank has been receiving complaints from real estate agents that their customers have been waiting too long for mortgage confirmations. the bank prides itself on its mortgage application process and decides to investigate the claims. the bank manager takes a random sample of 20 customers whose mortgage applications have been processed in the last 6 months and finds the following wait times (in days): 5, 7, 22, 4, 12, 9, 9, 14, 3, 6, 5, 15, 10, 17, 12, 10, 9, 4, 10, 13 assume that the random variable x measures the number of days a customer waits for mortgage processing at this bank, and assume that x is normally distributed. 2a. find the sample mean of this data (x ě…). 2b. find the sample variance of x. find the variance of x ě…. for (c), (d), and (e), use the appropriate t-distribution 2c. find the 90% confidence interval for the population mean (îľ). 2d. test the hypothesis that îľ is equal to 7 at the 95% confidence level. (should you do a one-tailed or two-tailed test here? ) 2e. what is the approximate p-value of this hypothesis?