An important part of the customer-service responsibilities of a telephone company relate to the speed with which troubles in residential service can be repaired. Suppose that past data indicate that the likelihood is 0.70 that troubles in residential service can be repaired on the same day. If a sample of 100 troubles is selected, what is the probability that the proportion repaired on the same day is

(a) between 0.70 and 0.75?
(b) at least 0.70?
(c) between 0.60 and 0.80?
(d) What would be your answers to (a)-(c) if n = 50?

Ben is three times as old as samantha, who is two years older than half of michel's age. if michel is 12. how old is ben?

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.)

What is 10+10+20 about the origin the square root of a triangle.