You are playing the duck pond game at the carnival! there are 20 ducks in the pond. five of the ducks have blue dots on their bellies. you win if you pick up a duck that has a blue dot. you can play one round for $1 or four rounds for $3. in each round you will pick a duck out of the pond and see if it has a blue dot on its belly. if you win you get a prize. after that you place the duck back in the pond, close your eyes, and the worker moves all of the ducks around. if you play the duck pond game four times, what is the probability that you will win three of the times? (hint: how many possible outcomes are there for this experiment? )

What is the area of triangle abc if a = 8, b = 11, and c = 15?

2y= 3 2 x−2 y = − 1 3 x + 1 y=− 3 1 x+1

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.