Students at a major university are complaining of a serious housing crunch. many of the university's students, they complain, have to commute too far to school because there is not enough housing near campus. the university officials respond with the following information: the mean distance commuted to school by students is 17.5 miles, and the standard deviation of the distance commuted is 3.7 miles.

assuming that the university officials' information is correct, complete the following statements about the distribution of commute distances for students at this university.

(a) according to chebyshev's theorem, at least of the commute distances lie between 10.1 miles and 24.9 miles.

There were 816 people at a concert when a band started to play. after each song, only half the people stayed to hear the next song. how many people were left at the concert after x songs? write a function to represent this scenario.

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?

Which exponential function has an initial value of 2? f(x) = 2(3x) f(x) = 3(2x)