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.
Answer:
a = 12
Step-by-step explanation:
add 2 to each side
5a/3 = a/4 + 17
distribute 12 to remove fractions
20a = 3a + 204
17a = 204
a = 12
Answer:
Step-by-step explanation:
2in by 2in by 3in
if each cube is 1/2 edge length then
4 by 4 by 6
4x4x6
16x6
96
96 cubes are needed
Simple: 3 shelves times 40 games = 120 games, 120-85= 35. So the answer is 35 games.
Answer:
Step-by-step explanation:
The fidelity investment mutual funds is $10.92 per share.
The fund charges 2.5%.
So, if 2.5% is charged,
Then, 2.5% of the share is
2.5% of $10.92 = 2.5 / 100 × $10.92
2.5% of $10.92 = $0.273
Then, total offer price is 0.273 + 10.92
Therefore, total offer is $11.193