Kyle earns spending money by mowing laws and distributing flyers for a small theater to advertise various upcoming performances. He typically charges $25 for each lawn that he mows, and gets paid $10 each time he distributes flyers for the theater. He wants to save at least $75 to spend on his next family vacation. What are some combinations of work that he can do to achieve his goal? Let x equal the number of times Kyle mows and y equal the number of times he distributes flyers. Write the linear inequality that represents his situation.

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?