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:
s=10
Step-by-step explanation:
Basically, the range rule-of-thumb is that the range is generally about four times the standard deviation.
<u>First, we find the range:</u>
Range=Maximum-Minimum
Range=100-60
Range=40
<u>Next, divide the range by 4 to get the standard deviation</u>
Range=4(Standard Deviation)
40=4(Standard Deviation)
10=Standard Deviation
Therefore, s=10, which is the standard deviation
Answer:
4y or 4 (divide)
Step-by-step explanation:
Answer: the quotient will be equal to 23
The equation to calculate what divided by 23 equals 1 is as follows:
X/23 = 1
Where X is the answer. When we solve the equation by multiplying each side by 23, you get get:
X = 23
Therefore, the answer to what divided by 23 equals 1 is 23
so the quotient will be equal to 23
Step-by-step explanation:
Answer:
f= 3ˣ
g= (1/3)ˣ
Step-by-step explanation: