Suppose that there is a class of n students. homework is to be returned to students, but the students' homework assignments have been shuffled and are distributed at random to students. a) (4 points) what is the probability that you get your own homework? b) (4 points) suppose that i tell you that another student, betty, got her own homework. does this change the probability that you get your own homework, and if so what is the new probability?

Aschool typically sells 500 yearbooks each year for 50 dollars each. the economic calls does a project and discovers that they can sell 100 more yearbooks for every $5 decrease in price. the revenue for yearbook sales is equal to the number of yearbooks sold times the price of the yearbook. let x represent the number of $5 decrease in price. if the expression that represents the revenue is written in the form r(x)=(500+ax)(50-bx). to maximize profit, what price should the school charge for the yearbooks? what is the possible maximum revenue? if the school attains the maximum revenue, how many yearbooks will they sell?

You are cycling around europe with friends. a cycling festival is starting soon in barcelona. it will take 4.5 hours to cycle there. how many minutes in total is this?

Which number line represents the solution set for the inequality -1/2x> 24?