Lucas is making one dozen snacks for his team. He uses 1/4 cup of dried cherries and 2/4 cup of dried apricots for each snack. How many cups of dried fruit does Lucas need for his one dozen snacks? Remember, there are 12 snacks in one dozen. Write and solve equations to show how you found the answer.

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?