A golf instructor offers 1-hour private lessons from 2 pm to 6 pm every Saturday afternoon. His hourly rate is $60. The instructor takes appointments during the weekdays. Recently, the instructor receives quite a few late cancellations in Saturday morning. He can do nothing given the short notice. Therefore, the instructor institutes an overbooking policy. In case a customer cannot be served, the instructor will give a $40 certificate (he buys it from the golf club) for a free round of golf. The number of no-shows can be 1, 2, 3, or 4, each with a probability of 0.25. How many reservations should the instructor take

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?

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).

Which of the following is the best first step in solving the equation below? 4+2㏒³x=17