What is the value of z?
1 answer:
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Answer:
(B)
Step-by-step explanation:
First, we determine the height of the triangle which we label as y.
Using Pythagoras Theorem.
In the smaller right triangle with hypotenuse, x
Base = 7-3 =4 Units
Height, y= 24 Units
Therefore, applying Pythagoras Theorem.:
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.