I was wondering how do you solve this?

Mathematics

1 answer:

Kruka [31]3 years ago

3 0

I am wondering the same thing about my life problems bro.

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What segment is congruent to AC?<br> A. BD<br> B. BE<br> C. CE<br> D. none

Phoenix [80]

You can find the segment congruent to AC by finding another segment with the same length. So first, you need to find the length of AC.

C - A = AC
0 - (-6) = AC Cancel out the double negative
0 + 6 = AC
6 = AC

Now, find another segment that also has a length of 6.

D - B = BD
2 - (-2) = BD Cancel out the double negative
2 + 2 = BD
4 = BD
4 ≠ 6

E - B = BE
4 - (-2) = BE Cancel out the double negative
4 + 2 = BE
6 = BE
6 = 6

So, the segment congruent to AC is B. BE .

8 0

3 years ago

The Information Technology Department at a large university wishes to estimate the proportion of students living in the dormitor

nadya68 [22]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16$

And rounded up we have that n=385

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by: