Green Grass, Inc. charges an initial fee of $10 plus $12 per hour for lawn services. Their main competitor S & G Lawn Care charges an initial fee of $25 plus $8 per hour. a. Complete a table. b. Write an algebraic expression to represent each company. c. Find the solution to the system of equations graphically and algebraically. d. Explain how to determine when it would be better to use Green Grass, Inc. and when it would be better to use their competitor, S & G Lawn Care.

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?