Gary earns $12 an hour plus $16 an hour for every hour of overtime. overtime hours are any hours more than 30 hours for the week. part a: create an equation that shows the amount of money earned, m, for working x hours in a week when there is no overtime. (3 points) part b: create an equation that shows the amount of wages earned, t, for working y hours of overtime. hint: remember to include in the equation the amount earned from working 30 hours. (3 points) part c: gary earned $408 in 1 week. how many hours (regular plus overtime) did he work? show your work. (4 points)

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?