The mean length for the population of all screws being produced by a certain factory is targeted to be 5 centimeters. assume that you don't know what the population standard deviation is. you draw a sample of 25 screws and calculate their mean length. the mean for your sample is 4.8, and the standard deviation of your sample is 0.4 centimeters. what is the 90% confidence interval for the population mean? round your answer to two decimal places.

Which function is shown in the graph below?

According to the general equation for conditional probability if p(anb)=3/7 and p(b)=7/8 what is p(a i b)

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i. e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)