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:
5/3
Step-by-step explanation:
(5 + 2i)(1 + 3i)
5 * 1 = 5
5 * 3 = 15i
2i * 1 = 2i
2i * 3i = 6i^2
So we have...
5 + 15i + 2i + 6i^2
5 + 17i + 6i^2
In order....
6i^2 + 17i + 5
Answer:
1/3
Step-by-step explanation:
We use the formula y2-y1/x2-x1. The two points that I would use are (3,-1) and (-3,-3). This means that the equation will be -3--1/-3-3. This is equal to -2/-6. This is also equal to 1/3. Therefore, the slope is 1/3.
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we know that
The sum of all interior angles in the polygon is equal to the formula

where
n is the number of sides of the polygon
In this problem we have

substitute the value in the formula

<u>Find the value of x</u>

therefore
<u>the answer is</u>
the measure of x is 