Find the length of the segment indicated. Assume that lines which appear to be tangent are tangent. Round to one decimal place if necessary.

2y= 3 2 x−2 y = − 1 3 x + 1 y=− 3 1 x+1

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?

Factor the polynomial by its greatest common monomial factor.