The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal distribution, with a mean of 1515 minutes and a standard deviation of 3.53.5 minutes.
(a) the automotive center guarantees customers that the service will take no longer than 2020 minutes. if it does take longer, the customer will receive the service for half-price. what percent of customers receive the service for half-price?
(b) if the automotive center does not want to give the discount to more than 55% of its customers, how long should it make the guaranteed time limit?

What is the approximate total length of iron edging needed to create the square frame and the two diagonals?

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

What is the value of x in the following equation. -x ^3/2 = -27