There are two bags containing only yellow and orange marbles. Bag A has 9 yellow marbles and 3 orange marbles. Bag B has 7 yellow marbles and 13 orange marbles. A marble is randomly chosen from each bag. List these events from least likely to most likely. Event 1 : choosing a yellow or orange marble from Bag B. Event 2 : choosing a red marble from Bag A. Event 3 : choosing an orange marble from Bag B. Event 4 : choosing a yellow marble from Bag A.

Select all of the quadrants that the parabola whose equation is y=√x-4 (principal square root) occupies. i ii iii iv

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.

Neal buys a board game. he pays for the board game and pays $1.54 in sales tax. the sales tax rate is 5.5%. what is the original price of the board game, before tax