A game is played using one die. If the die is rolled and shows 5​, the player wins $15. If the die shows any number other than ​5, the player wins nothing. Complete parts​ (a) through​ (b) below. a. If there is a charge of $3 to play the​ game, what is the​ game's expected​ value?
​$
​(Round to the nearest​ cent.)

b. What does this expected value​ mean? Choose the correct statement below.

A. This value represents the expected loss over the long run for each game played.
B. The player can expect to break even over the long run.
C. This value represents the expected win over the long run for each game played.

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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i dont know sorry

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)