Dakota drained his 2,268 ft3 pool to clean it. the pool is a rectangle with an area that can be expressed as 2x4 + 10x2 and a depth that can be expressed as x2. if a gallon of water has a volume of 1 60 x2, write a function which represents the gallons of water it takes to fill the pool.

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?