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taurus [48]
3 years ago
6

What is the scale factor of the dilation?

Mathematics
1 answer:
klasskru [66]3 years ago
8 0
A description of a dilation includes the scale factor (or ratio) and the center of the dilation. The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch). If the scale factor is between 0 and 1, the image is a reduction (a shrink
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A researcher is interested in estimating the mean blood alcohol content of people arrested for driving under the influence. Base
UNO [17]

Answer:

We need a sample size of at least 650

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this problem:

We need a sample of size at least n

n is found when M = 0.005, \sigma = 0.065

So

M = z*\frac{\sigma}{\sqrt{n}}

0.005 = 1.96*\frac{0.065}{\sqrt{n}}

0.005\sqrt{n} = 1.96*0.065

\sqrt{n} = \frac{1.96*0.065}{0.005}

(\sqrt{n})^{2} = (\frac{1.96*0.065}{0.005})^{2}

n = 649.23

Rounding up

We need a sample size of at least 650

7 0
3 years ago
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OleMash [197]
-1/24 is the answer
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A student used the complex fraction
34kurt

Answer:1

Step-by-step explanation:

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Marcello sells coupon books to his neighbors. 4 neighbors each buy 2 coupon books. There are 8 coupons in each book. What is the
docker41 [41]

Answer:

64

Step-by-step explanation:

Marcello sells coupon books to his neighbors

4 neighbors each buy 2 coupon books

Each book have 8 coupons

Therefore the total number of coupons that all neighbors will get can be calculated as follows

Each neighbor will get 16 coupon

Hence the whole neighbors will get

16×4

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3 years ago
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Answer:

It's Micrograms. The rest are from the imperial system, which is the system that is commonly used in the United States. The metric system is an international system for scientists and mathematicians to use so that sharing and giving information is a lot easier when conveying to other people around the world.

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