Find the greatest common factor of the terms of the polynomial.

Mathematics

1 answer:

frosja888 [35]4 years ago

4 0

For this case we must find the GCF of the following expression:

$4x ^ 3-12x$

By definition we have that the GCF of an expression is given by the greatest common factor that divides both numbers without leaving remainder.

We find the factors of 4 and 12:

$4: 1,2,4\\12: 1,2,3,4,6,12$

The GCF of both numbers is 4. Thus, the GCF of the expression is $4x$ :

$4x (x ^ 2-3)$

Answer:

$4x (x ^ 2-3)$

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A score of 150.25 is necessary to reach the 75th percentile.

Step-by-step explanation:

Problems of normal distributions 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.

A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30.

This means that $\mu = 130, \sigma = 30$