The formula for determining how long a hike will take is t = 1 / 2 ( d + h ), where d is the distance in miles and h is the elevation gain in thousands of feet. Solve for h.

a.) h = 1 / 2 t - d
b.) h = t - d / 2
c.) h = 2 t - d
d.) h = 2 d - t

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?