Jacob and Zachary go to the movie theater and purchase refreshments for their friends. Jacob spends a total of 18.25 on two bags of popcorn and three drinks, Zachary spends 27.50 for four bags and 2 drinks Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink

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?