Debra is buying prizes for a game at her school's fundraiser. the game has three levels of prizes, and she has already bought the second and third prizes. she wants the first prize to be nice enough to attract people to the game. the game's manufacturer has supplied her with the probabilities of winning first, second, and third prizes. tickets cost $3 each, and she wants the school to profit an average of $1 per ticket. how much should she spend on each first prize? (round your answer to two decimal places.)
prize cost of prize probability
1st $ .15
2nd $1.15 .30
3rd $0.74 .45

$ 9.22

Step-by-step explanation:

1st cost = $0.15 and p is unknown

2nd cost = $1.15 and Probability of 0.3

3rd cost = $0.74 and Probbility of 0.45

1st prize value variable is = p

to gain $1 on each ticket the gain for  the ticket purchaser must be $-1

we have that the probabilities of winning  add to 0.9  so, the probability of losing $3 is 0.1

formula:

Probability of winning:

W(p) = 0.15p + 0.3*1.15 + 0.45*0.74 - 3*0.1 = -1

0.15p + 0.3825 = -1

0.15p = - 1.3825

p = - 9.2166

p = -9.22

The 1st prize must be $ 9.22

81 seats

step-by-step explanation:

if you multiply 0.65 times 125 then you get 81.5 seats. well since you can't have half of a seat you have to round down and get 81 seats in the no children zones. that leave 44 seats outside of the no children zone.

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17