Ihave a kit for constructing a chicken coop. the kit comes with 10-foot long beams. the instructions say to cut each beam into two pieces such that one piece is 3 times the length of the other. how many feet long should the long piece be?

(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?

What is the area of this parallelogram? 434.28 cm2 263.67 cm2 527.34 cm2 217.14 cm2

Corey added stickers to his party invitations. he put the same number of stickers on 7 invitations. which expression shows the number of stickers corey put on each invitation? let the variable s stand for the number of stickers corey started with. look at replys for options