On the TV show Hell's Kitchen, a group of chefs attempt to complete a dinner service under the exacting supervision of chef Gordon Ramsay. One evening, Ramsay hands out comment cards to the diners and asks their opinion of the food and whether or not they would be willing to pay $75 for the meal they were served. The data is below. If you pick a diner at random from this population, compute: (write answers as fractions)

P(E), the probability the diner found the food excellent.
8/9

Incorrect: Your answer is incorrect.

P(E or Y).

P(D|N).

P(N|D).

P(E and Y).

P(E) times P(Y|E).

Would pay?

Yes(Y) No(N)

Rating of food

Excellent(E) 40 5

Good(G) 25 15

Dog's Dinner (D) 1 14

Points d and e are midpoints of the sides of triangle abc. the perimeter of the triangle is 48 units. what is the value of t? ο ο ο ο 7t +

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

Using elimination, what is -4x+2y=-12 4x+8y=-24