Helena had a balance of $14.48 left on a gift card. she bought a muffin each for her, and five of her friends. the cost of each muffin was $1.02.

If f(x) = 2x + 2 and g(x) = x? , what is (gºf)(2)?

If f(x)=3x+1 and f^-1=x-1/3, then f^-1(7)=

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?