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3 years ago

Line segment AB is dilated to create line segment A'B' using point Q as the center of dilation.

Mathematics

2 answers:

barxatty [35]3 years ago

8 0

Answer:

Step-by-step explanation:

Rashid [163]3 years ago

7 0

Answer:

Step-by-step explanation:

To find the scale of dilation, you have to compare the ratio of the after transform with before transform according to the center of dilation. In this case, the center of dilation is Q so you have to compare QA' : QA. We know that QA= 1.25 and AA' is 1.25. The distance of QA' will be:

QA'= QA + AA'= 1.25 + 1.25 = 2.5

The scale factor will be:

scale factor= QA' : QA.= 2.5 : 1.25

scale factor= 2

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3 years ago

In the United States, the mean birth weight for boys is 3.41 kg with a standard deviation of 0.55 kg. Assume that the distributi

lyudmila [28]

Answer:

The proportion of baby boys in the United States that are born with low birth weight is 0.0495.

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:

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

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3.41 kg with a standard deviation of 0.55 kg.

This means that $\mu = 3.41, \sigma = 0.55$

What proportion of baby boys in the United States are born with low birth weight?

This is the pvalue of Z when X = 2.5. So

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

$Z = \frac{2.5 - 3.41}{0.55}$

$Z = -1.65$

$Z = -1.65$ has a pvalue of 0.0495

The proportion of baby boys in the United States that are born with low birth weight is 0.0495.

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3 years ago

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3 years ago

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4 years ago

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AleksandrR [38]

Answer:

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