You and your friend are standing back-to-back. your friend runs 16 feet forward and then 12 feet right. at the same time, you run 12 feet forward and then 9 feet right. you stop and throw a baseball to your friend, who catches it. how far did you throw the baseball?

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?