The segment CD has endpoints at C(5,3) and D(-1,7). If CD is dilated by a factor of 3 with the center at the origin to produce image C'D', what is the length of C'D'? Show your work. (1) 6√13
(2) 3√15
(3) 12√2
(4) 21√6

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?