The local barber shop is home to three barbers. the barbers appear identical but vary in their ability to provide good haircuts. denote the event that you receive a good haircut by g, the event that you do not receive a good haircut by ng, and the event that your hair is cut by barber i by bi , where i ∈ {1, 2, 3}. the probability that any particular barber cuts your hair is 1/3. the probability that you receive a good haircut from barber 1 is 1. the probability that you receive a good haircut from barber 2 is 1/2. the probability that you receive a good haircut from barber 3 is x, where x lies in the interval [0, 1]. using the bayes theorem calculate the probability that your hair is cut by barber 1 given that you received a good hair cut.

Factor k2 - 17k + 16. a.(k - 2)(k - 8) b.(k - 1)(k + 16) c.(k - 1)(k - 16)

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true

Worth 100 points need the answers asap first row -x^2 2x^2 (x/2)^2 x^2 x is less than 2 x is greater than 2 x is less than or equal to 2 x is greater than or equal to 2 second row -5 -5/2 4 5 •2 is less than x& x is less than 4 •2 is less than or equal to x & x is less than or equal to 4 •2 is less than or equal to x& x is less than 4 •2 is less than x& x is less than or equal to 4