1. COIN GAME You flip a coin twice. If you get two-of-a-kind, you pay $1.00. If you get T followed by H, you receive
$1.50. If you get H followed by T. you pay $.50. Is this a fair game? If not, how can you change the game
to make it fair?

△cde maps to △stu with the transformations (x, y) arrowright (x − 2, y − 2) arrowright (3x, 3y) arrowright (x, −y). if cd = a + 1, de = 2a − 1, st = 2b + 3 and tu = b + 6, find the values of a and b. the value of a is and the value of b is .

If 10 men take 18 days to mow 60 acres of grass, how long will 15 men take to mow 80 acres?

Peter applied to an accounting firm and a consulting firm. he knows that 30% of similarly qualified applicants receive job offers from the accounting firm, while only 20% of similarly qualified applicants receive job offers from the consulting firm. assume that receiving an offer from one firm is independent of receiving an offer from the other. what is the probability that both firms offer peter a job?