A rectangle is 6 centimeters longer than it is wide. Its length and width are both increased by 4 centimeters. A. What do each of the factors in the product (x+10) (x+4) represent? B. Write a polynomial that represents the area of the larger rectangle. C. What is the area of the larger rectangle if x=8?

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?