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xeze [42]
3 years ago
8

If ABCD is dilated by a scale factor of 2 about point E, which of the following is true about E'F'?

Mathematics
1 answer:
Feliz [49]3 years ago
8 0

Given:

ABCD is dilated by a scale factor of 2 about point E.

To find:

The correct statement about the line segment E'E'.

Solution:

The center of dilation E lies on the line segment E'F' and the dilation factor is 2.

E'F'=2EF

Since the center of dilation E is one end point EF, therefore E and E' represents the same point.

It means, E'F' passes through the center of dilation.

Hence the correct option is D.

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Step-by-step explanation:

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3 years ago
He takes a random sample of 49 recent charterholders and computes a mean salary of $172,000 with a standard deviation of $35,000
uysha [10]

Answer:

the 90% of confidence intervals for the average salary of a CFA charter holder

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Step-by-step explanation:

<u>Explanation</u>:-

random sample of n = 49 recent charter holders

mean of sample (x⁻) =  $172,000

standard deviation of sample( S) = $35,000

Level of significance α= 1.645

<u> 90% confidence interval</u>

(x^{-} - Z_{\alpha } \frac{s}{\sqrt{n} } , x^{-} + Z_{\alpha } \frac{s}{\sqrt{n} })

(172000 - 1.645 \frac{35000}{\sqrt{49} } , 172000 +1.645 \frac{35000}{\sqrt{49} })

on calculation , we get

(1,63,775 , 1,80,000)

The mean value lies between the 90% of confidence intervals

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3 years ago
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