Expected value (50 points) game: roll two dice. win a prize based on the sum of the dice. cost of playing the game: $1 prizes: win $10 if your sum is odd. win $5 if you roll a sum of 4 or 8. win $50 if you roll a sum of 2 or 12. explain how to find the expected value of playing this game. what is the expected value of playing this game? show your work. (30 points)

The sum of two numbers is 58. the first number is 8 less than half the second number. let  c  represent the first number. let  drepresent the second number. which statements about solving for the two numbers are true? check all that apply.the equation    represents the sum of the two numbers.the equation    represents the sentence “the first number is 8 less than half the second number.”the equation    represents the relationship between the two numbers.the equation    represents the sum of the two numbers.the number  d  is 14.the number  c  is 44.the number  c  is 14.the number  d  is 44.

Suppose that a households monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, hcf). when graphed, the function gives a line with slope of 1.65. if the monthly cost for 13 hcf is $46.10 what is the monthly cost for 19 hcf?

Which exponential function has an initial value of 2? f(x) = 2(3x) f(x) = 3(2x)