In a lottery, the top cash prize was $651 million, going to three lucky winners. Players pick five different numbers from 1 to 53 and one number from 1 to 49. A player wins a minimum award of $200 by correctly matching four numbers drawn from the white balls (1 through 53) and matching the number on the gold ball (1 through 49). What is the probability of winning the minimum award? help pls

Which of the following expressions is equal to 2x^2+8

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.

Consider the input and output values for f(x) = 2x - 3 and g(x) = 2x + 7. what is a reasonable explanation for different rules with different input values producing the same sequence?