People at the state fair were surveyed about which type of lemonade they preferred. the results are shown below.
pink lemonade: 156 males, 72 females yellow lemonade: 104 males, 48 females the events "prefers pink lemonade” and "female” are independent because
- p(pink lemonade | female) = p(pink lemonade) = 0.6.
- p(female | pink lemonade ) = p(pink lemonade) = 0.3.
- p(pink lemonade | female) = 0.3 and p(pink lemonade) = 0.6.
- p(female | pink lemonade ) = 0.3 and p(pink lemonade) = 0.6.

Find the value of the variable and the length of each secant segment.

The lengths of two sides of a right triangle are given. find the length of the third side. round to the nearest tenth if necessary. a) y = 12/5x + 39/5 b) y = 5/12x + 5/39 c) y = 12/5x - 39/5 d) y = 5/12x - 5/39

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.