Answer:
The expected value of playing the game is $0.75.
Step-by-step explanation:
The expected value of a random variable is the weighted average of the random variable.
The formula to compute the expected value of a random variable <em>X</em> is:

The random variable <em>X</em> in this case can be defined as the amount won in playing the game.
The probability distribution of <em>X</em> is as follows:
Number on spinner: 1 2 3 4 5 6
Amount earned (<em>X</em>): $1 $4 $7 $10 -$8.75 -$8.75
Probability: 1/6 1/6 1/6 1/6 1/6 1/6
Compute the expected value of <em>X</em> as follows:





Thus, the expected value of playing the game is $0.75.
A)
The formula for direct variation is written as Y = KX, where k is the direct variation you need to solve for.
Y is the total amount raised and X would be the number of attendees:
100 = K5
Divide both sides by 5:
K = 100/5
K = 20
B. The constant of variation is K which is 20
C) Using the formula from A: y = kx, replace k with 20 and x with 60 and solve for y:
y = 20 * 60
y = 1200
The total is: $1,200
2. A relationship is proportional when the ratio is a constant number.The relationship is non proportional when the ratio varies between the different values.
Answer:
A
Step-by-step explanation:
Try using 2 and 5.. 2x{[(12-3)x3]+(5x6)-8}=98