Please answer all three questions the first two are multiple

Please answer all three questions, the first two are multiple choice, no work needed. Show your work on number 3.

1. IfK-3, 7, 11, 151 and M-7, 12, 15, 18), list(xlxE KorxE M} A. 3,7, 11, 12, 15, 18) B. 3, 7, 7, 11, 12, 15, 15, 18D 7, 15I 2. At Burger Heaven a \"double\" contains 2 meat patties and 6 pickles, whereas a \"triple\" contains (wait for it!) 3 meat patties and 3 pickles. Near closing time one day, only 24 meat patties and 48 pickles are available. If a \"double\" sells for $1.50 and a \"triple\" sells for $2.00, then how many of each should be made in order to maximize profit? Let x represent number of \"double\" burgers and y represent number of \"triple\" burgers. Identify the production constraint for pickles: A. 6x +3y 2 24 B. 6x 3y 2 48 State the objective function. A. P=2x+1.5y B. P = 1.5x + 2y C. 6x +3y 3 24 D. 6x 3y s 48 P = 24x + 48y P 48x + 24y C. D. 3. According to a recent report, 0.10 is the probability that an American can identify Janet Yellen as the Chair of the Federal Reserve Board of the US Government. Nine Americans are randomly selected. Find the probability that exactly 2 of the 9 Americans selected can identify Ms Yellen as the Chair of the Federal Reserve Board. Round answer to the nearest thousandth (three places after decimal). Show work

Solution

1)

since say that need to be on K OR x say all of the number contain in each group

3 7 11 12 15 18

2)

constriants for pickels

6x + 2y < 48

objetive function

P = 1.5x+ 2y

3)

binomial distribution

P (x=2) = 9C2 * 0.10^2 * 0.90 ^(9-2) = 0.1722