7 * 38 + 3*45 - 56
use order of operations
(7*38) + (3*45) - 56
266 + 135 - 56
=345
Vertical angles are equal, which is similar to saying "vertical angles are congruent." Note: vertical, not verticle.
Answer:

Step-by-step explanation:
Each vertical asymptote corresponds to a zero in the denominator. When the function does not change sign from one side of the asymptote to the other, the factor has even degree. The vertical asymptote at x=-4 corresponds to a denominator factor of (x+4). The one at x=2 corresponds to a denominator factor of (x-2)², because the function does not change sign there.
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Each zero corresponds to a numerator factor that is zero at that point. Again, if the sign doesn't change either side of that zero, then the factor has even multiplicity. The zero at x=1 corresponds to a numerator factor of (x-1)².
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Each "hole" in the function corresponds to numerator and denominator factors that are equal and both zero at that point. The hole at x=-3 corresponds to numerator and denominator factors of (x-3).
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Taken altogether, these factors give us the function ...

Answer:
The probability that a person will get 17 or more right, if the person is truly guessing, is about 12.9%.
The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.
Step-by-step explanation:
The system of hypothesis fo this case are:
Null hypothesis: 
Alternative hypothesis: 
That's a upper right tailed test.
The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.
And this value allows to reject or not the null hypothesis.
If
we reject the null hypotheis at the significance level. That indicates strong evidence against the null hypothesis, so you reject the null hypothesis.
If
then we say that we fail to reject the null hypothesis at the significance level. That indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.