Aparallelogram whose vertices have coordinates r(1, -1), s(6, 1), t(8, 5), and u(3, 3) has a shorter diagonal of 5 √(13) √(97)

Julia is going for a walk through the neighborhood. what unit of measure is most appropriate to describe the distance she walks?

Twelve less than a number is at most 20

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?