Arectangle and a square have the same area. the length of the rectangle is seventy feet more than two times its width. the length of a side of the square is thirty feet. which of the following equations would you solve for the dimensions of the rectangle? a) 30^2 = x(2x + 70) b) 30x^2 = 2x + 70 c) 302 = 70x * w mph d) 30 + 30 = 70 + x * 2 mph e) 30 * 2 = 70x^2 f) 100 = x^2 + x

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?