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?

Volume of a cylinder with a radius of 13 in and height of 30 in

There were 25 students who answered to a survey about sports. four-fifths of them like football. how many students like football?

Need to finish my juan wants to build a greenhouse in his back yard. he needs to maximize the ratio of floor area to structure volume in order to provide the most room for plants while minimizing the area to be heated. find the description of the structure that best meets juan’s criteria. a.) a hemisphere with a diameter of 12 feet b.) a cube with a side length of 12 feet c.) a cone with a diameter of 12 feet and a height of 10 feet d.) a square pyramid with a base side length of 12 feet and a height of 9 feet