Liam wants to plant a small orchard with apples and cherries in a 62-square-foot plot, and he has a budget of $345 for purchasing trees. The apple trees he wants cost $30 each and require 8 square feet each for maximum fruit production. The cherry trees he wants cost $45 each and require 6 square feet for maximum fruit production. If he sells all the fruit, he is able to earn $90 per apple tree and $120 per cherry tree. The system of inequalities that represents this situation, (30x+45y≤345) (8x+6y≤62), is shown graphed in the first quadrant with the number of apple trees along the x-axis and the number of cherry trees along the y-axis.

Which points are the extreme points for the solution set for this situation?

Select all that apply.

(7.75,0)
(11.5,0)
(0,7.67)
(0,0)
(0,10.33)
(4,5)

(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?