Abox has three coins. "one has two heads, one has two tails", and the other is a fair coin with one head and one tail. a coin is chosen at random, is flipped, and comes up heads. a. what is the probability that the coin chosen is the two-headed coin? b. what is the probability that if it is thrown another time it will come up heads?

Acoffee shop orders at most $3,500 worth of coffee and tea. the shop needs to make a profit of at least $1,900 on the order. the possible combinations of coffee and tea for this order are given by this system of inequalities, where c = pounds of coffee and t = pounds of tea: 6c + 13t ≤ 3,500 3.50c + 4t ≥ 1,900 which graph's shaded region represents the possible combinations of coffee and tea for this order?