Factor the polynomials by finding the GCF

1 answer:

3 0

3x + 12

The GCF here is 3.

3x / 3 = x
12 / 3 = 4

So we have 3(x + 4)

7y - 7

The GCF here is 7.

7y / 7 = y
-7 / 7 = -1

So we have 7(y - 1)

5x + 30y

The GCF here is 5.

5x / 5 = x
30y / 5 = 6y

So we have 5(x + 6y)

8m + 36n

The GCF here is 4.

8m / 4 = 2m
36n / 4 = 9n

So we have 4(2m + 9n)

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find the perimeter of an isosceles triangle with side lengths of 5+x, 5+x, and xy. Write in simplest form.

Zinaida [17]

<h3>Answer: perimeter = 10+2x+xy</h3>

To get the perimeter, you add up all the outer sides

side1+side2+side3 = (5+x)+(5+x)+(xy) = 10+2x+xy

The like terms 5 and 5 add to 10. The other pair of like terms x and x add to 2x. There isn't anything to pair with xy, so we leave it as is.

3 0

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The U.S. Bureau of Labor Statistics reports that of persons who usually work full-time, the average number of hours worked per w

alukav5142 [94]

Answer:

The standard deviation of number of hours worked per week for these workers is 3.91.

Step-by-step explanation:

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

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

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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem we have that:

The average number of hours worked per week is 43.4, so $\mu = 43.4$ .

Suppose 12% of these workers work more than 48 hours. Based on this percentage, what is the standard deviation of number of hours worked per week for these workers.

This means that the Z score of $X = 48$ has a pvalue of 0.88. This is Z between 1.17 and 1.18. So we use $Z = 1.175$ .