Inventory. a shipment of road bikes has just arrived at the spoke, a small bicycle shop, and all the boxes have beenplaced in the back room. the owner asks her assistant to start bringing in the boxes. the assistant sees 20 identical-looking boxes and starts bringing them into the shop at random. the owner knows that she ordered 10 women’s and 10men’s bicycles, and so she’s surprised to find that the first six are all women’s bikes. as the seventh box is brought in, shestarts thinking, "this one is bound to be a men’s bike."a] is she correct in thinking that there’s a higher probability that the next box will contain a men’s bike? explain. b) is this an example of the law of large numbers? explain.

Atriangular field has sides of lengths 21, 39, and 41 yd. find the largest angle. (round your answer to the nearest degree.)

(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?

Two consecutive negative integers have a product of 30. what are the integers?