Answer:
Step-by-step explanation:
(
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Multiply by each term in the parentheses.
+
Now, all you have to do is simplify.
Factor completely p^4-81
1 answer:
The left side of the equation is what you get if you apply the "foil" method to the middle. This is the first step. Now the left-hand side is only partially factored, because you can still factor one of the remaining terms. Notice that one of the terms on the left has a similar form to that of the original question p^4-81. You can apply the same method I did to that term and then you will have fully factored p^4-81. You should have 3 factors in the end. Hope this helps!
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Answer:
The probability is 1/2
Step-by-step explanation:
The time a person is given corresponds to a uniform distribution with values between 0 and 100. The mean of this distribution is 0+100/2 = 50 and the variance is (100-0)²/12 = 833.3.
When we take 100 players we are taking 100 independent samples from this same random variable. The mean sample, lets call it X, has equal mean but the variance is equal to the variance divided by the length of the sample, hence it is 833.3/100 = 8.333.
As a consecuence of the Central Limit Theorem, the mean sample (taken from independant identically distributed random variables) has distribution Normal with parameters μ = 50, σ= 8.333. We take the standarization of X, calling it W, whose distribution is Normal Standard, in other words
The values of the cummulative distribution of the Standard Normal distribution, lets denote it , are tabulated and they can be found in the attached file, We want to know when X is above 50, we can solve that by using the standarization