Answer:
The fair price for this game is $372.5
Step-by-step explanation:
Let's start by calculating the expected value for this game.
Let's call X to the random variable : ''The earnings for this game''
We calculate E(X) by multiplying the probability of the random variable assuming the value ''xi'' by the prize for ''xi'' and adding for all its values.
There is a total of 8 prizes.
4 prizes out of a total of 8 worth $20.
3 prizes out of a total of 8 worth $300
1 prize out of a total of 8 worth $2000.
$372.5
The expected value for X is $372.5
Therefore, its reasonable set the ''fair price'' in $372.5 for this game.
3 is incorrect, should be 28.9
16^2 + 18^2 = EG^2
256 + 324
580 = EG^2
EG ≈ 24.08
16^2 + 24.08^2 = AG^2
256 + 580 = AG^2
836 = AG^2
AG ≈ 28.9
5 is incorrect:
The base is 8.
Draw an altitude the base.
Since the triangle is isoceles, it divides the base in half.
Half of that base is 4.
Two right triangles have been formed with one leg 4 and hypotenuse 8.
4^2 + b^2 = 8^2
16 + b^2 = 64
b^2 = 48
b ≈ 6.93
The height of the triangle is 6.93, the base is 8.
A = bh/2 = 8*6.93/2 ≈ 27.7 ≈ 28
The answer is A I know it has to be if I’m wrong though I’m sorry but I swear it’s A
Answer:
increase
Step-by-step explanation:
First, we need to find the mean of the given data set without any change.
10 + 61 + 10 + 44 + 21 + 79 + 27 + 12 = 264
264 ÷ 8 = <u>33</u>
Now that we have the mean, we can find the mean of the data set with the change of 52.
10 + 61 + 10 + 44 + 21 + 79 + 27 + 52 = 304
304 ÷ 8 = <u>38</u>
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From this, we can see that the mean has increased with the change of 12 to 52. Thus, that's the correct option.
hope this helps!
Answer:
360°
Step-by-step explanation:
The sum of all the exterior angles of a triangle is equal to 360 degrees.