If (X + 8) is a factor of f(x), which of the following must be true?

Mathematics

1 answer:

True [87]3 years ago

5 0

Answer:

Correct option: Third one

Step-by-step explanation:

Let's analyse each sentence:

"Both x = -8 and x = 8 are roots of f(x)"

False, we can't affirm that x = 8 is a root of f(x) with the information given.

"Neither x = -8 nor x = 8 is a root of f(x)"

False, because x = -8 is a root of f(x), because the factor (x + 8) would be zero, and it is multiplying the rest of the function, so the final value would be zero.

"f(-8) = 0"

True, because x = -8 is a root, and the factor x + 8 will be zero and will multiply the other factors of f(x)

"f(8) = 0"

False, because x = 8 is not a root of f(x)

So the correct option is the third one

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Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

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