The cylinder shown has a lateral surface area of about 400 square inches. which answer is closest to the measure of the cylinder's radius? use 3.14 to approximate pi.

Using elimination, what is -4x+2y=-12 4x+8y=-24

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?

What is the value of x? assume that the line is tangent to the circle.