2) Franco is building a small jewelry box in the shape of a rectangular prism for his mom. He wants the height of the box to be 5 cm. He wants the length of the base to be 10 cm longer than the width of the
base.

a. If the width of the base is x, write an expression for the length of the base.
b. Write an algebraic expressionſto represent the volume of the box. Simplify your expression.
C Franco decides that the width of the box should be 8 cm. Use your simplified algebraic expression from
part b. to calculate the volume of the box when the width of the base, x = 8 cm.
d. If x = 8 cm, what are the dimensions of the box? Use the dimensions to find the volume of the box...
e. Compare the volumes from parts c. and d. Should the volumes be the same? Explain

(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?