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Nitella [24]
3 years ago
8

Geometry question number 21

Mathematics
1 answer:
Pie3 years ago
4 0

Step-by-step explanation:

1st) Distribute 8 with x and 8 with -1 which will give you

8x-8=5x-35

2nd) Use opposite operation and add 8 both sides

8x-8=5x-35

+8 +8

---------------

8x=5x-27

3rd) subtract 5x from both sides

8x=5x-27

-5x= -5x

_______

3x=-27

4th) Divide 3 from both sides so -27 by 3

3x=-27

_ _

3 3

ANSWER X=-9

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A study suggested that childrenbetween the ages of 6 and 11 in the US have anaverage weightof 74 lbs. with a standard deviation
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Answer:

The proportion of children in this age range between 70 lbs and 85 lbs is of 0.9306.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

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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 study suggested that children between the ages of 6 and 11 in the US have an average weightof 74 lbs, with a standard deviation of 2.7 lbs.

This means that \mu = 74, \sigma = 2.7

What proportion of childrenin this age range between 70 lbs and 85 lbs.

This is the pvalue of Z when X = 85 subtracted by the pvalue of Z when X = 70. So

X = 85

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

Z = \frac{85 - 74}{2.7}

Z = 4.07

Z = 4.07 has a pvalue of 1

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The proportion of children in this age range between 70 lbs and 85 lbs is of 0.9306.

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Answer:

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