Astore offers a 15% discount on all items in the store during a sale. all store employees get an additional 10% employee discount. in the equation below, c represents the cost of an item for an employee including tax, and x represents the original price of the item. c = 0.765x + 0.06(0.765x). chris is an employee at the store. he plans to buy a coat during the sale. the price of the coat before the discount is $100. how much will chris pay for the coat during the sale? remember, do not include the $ symbol.

Arecent study focused on the number of times men and women who live alone buy take-out dinner in a month. assume that the distributions follow the normal probability distribution and the population standard deviations are equal. the information is summarized below. statistic men women sample mean 24.85 21.33 sample standard deviation 5.54 4.93 sample size 34 36 at the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? state the decision rule for 0.01 significance level: h0: μmen= μwomen h1: μmen ≠ μwomen. (negative amounts should be indicated by a minus sign. round your answers to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? what is the p-value? (round your answer to 3 decimal places.)