Hesperia Community Center is buying new seating for their building. They want to purchase a combination of stools and chairs. Stools cost $15 and chairs cost $25. The center cannot spend more than $1500. Which inequality represents all possible combinations of s stools and c chairs? 15s+25c<1500 15s+25c≤1500 15c+25s≤1500 15c+25s≥1500

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?