The expected value of the winnings from the game is $4
<h3>How to determine the expected value?</h3>
The payout probability distribution is given as:
Payout ($) 2 4 6 8 10
Probability 0.5 0.2 0.15 0.1 0.05
The expected value is then calculated as:

This gives
E(x) = 2 * 0.5 + 4 * 0.2 + 6 * 0.15 + 8 * 0.1 + 10 * 0.05
Evaluate the expression
E(x) = 4
Hence, the expected value of the winnings from the game is $4
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The probability that no boys will be chosen is 0.2857
What is probability?
The area of arithmetic called likelihood deals with numerical representations of the chance that an incident can occur or that a press release is true.
Main Body:
Total students =22
total boys = 10
total girls =12
Now we have to chose 2 girls from 12 , so combination is used to select ,
⇒¹²C₂
Also, We have to chose 2 girls from 22 students
so it can be represented as ,
⇒²²C₂
Probability of choosing 2 girls = ¹²C₂/²²C₂
On solving this we will get = 0.2857
Hence the probability is 0.2857
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Answer:
D
Step-by-step explanation:
According to remainder theorem, you can know the remainder of these polynomials if you plug in x = -6 into them.
<em>So we will plug in -6 into x of all the polynomials ( A through D) and see which one equals -3.</em>
<em />
<em>For A:</em>

For B:

For C:

For D:

The only function that has a remainder of -3 when divided by x + 6 is the fourth one, answer choice D.

Any number to the power of
is itself. So,
.
Here are some more examples:



Answer:
60%
Step-by-step explanation:
40 / 25 - 1 = 60%