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zaharov [31]
3 years ago
11

Polygon ABCDE is dilated by a scale factor of 3 with the center of dilation at the origin to create polygon A′B′C′D′E′. If the e

ndpoints of are B(3, 5) and C(5, 10), what is the slope of ?
Mathematics
1 answer:
Mrac [35]3 years ago
3 0
The problem asked you to calculate the slope of the dilated polygon which is dilated by a scale factor of 3. So, the slope of BC is 5/2 or -5/-2 and the dilated polygon has a the same slope of the original polygon.

Hope this helps :)
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Five percent is the same as 1:20?
disa [49]

No, The answer is 120%     and 0.5% = 0.05

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6 0
4 years ago
The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees. If we want to be 90% c
siniylev [52]

Answer:

19 beers must be sampled.

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 - 0.9}{2} = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.645.

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.

The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.

This means that \sigma = 0.26

If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?

This is n for which M = 0.1. So

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

0.1 = 1.645\frac{0.26}{\sqrt{n}}

0.1\sqrt{n} = 1.645*0.26

\sqrt{n} = \frac{1.645*0.26}{0.1}

(\sqrt{n})^2 = (\frac{1.645*0.26}{0.1})^2

n = 18.3

Rounding up:

19 beers must be sampled.

7 0
3 years ago
You use a microscope to look at bacteria that is 0.0034 millimeter long. The microscope magnifies the bacteria 430 times. How lo
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ANSWER: 1.562
move the decimal point of 0.0034 to the right  to make it a whole number which is 34. Then multiply 34 times 430 which is 15,620.
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the answer will be 1.562
4 0
3 years ago
Read 2 more answers
The product of two consecutive odd integers is 63. If x is the smallest of the integers, write an equation in terms of x that de
kodGreya [7K]

Answer:

x*(x+2)= 63   7 and 9

Step-by-step explanation:

7 0
3 years ago
What is the common ratio between successive terms in the sequence
wel
Let a₁ , a₂ , a₃ , a₄ ,... .be a given sequence.
The common ratio of this sequence is the following:
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Example: 5, 25, 125, 625, ...The common ration  is:
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7 0
4 years ago
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