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3 years ago

5

Given the following two statements, is the compound statement valid? p: Two angles are congruent. q: The angles are vertical Com

pound statement: If two angles are congruent then the angles are vertical.

1 answer:

maw [93]3 years ago

5 0

No, this is not valid. In the picture below, $\angle a$ is a vertical angle with $\angle b$ . But $\angle a$ is not $\cong \angle b$

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Please help me with this!

mafiozo [28]

A (-5, 6)
B (-5, 2)
C (-9, 2)
D (-9, 6)

As it is just a rotation around the origin by 180, you can just change the sign in front of the numbers :)

4 0

3 years ago

Pls help, algebra 1<br>

AURORKA [14]

Answer:

20, 35, 50

Step-by-step explanation:

8 0

3 years ago

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estim

pogonyaev

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36$

And rounded up we have that n=656

Step-by-step explanation:

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 80% of confidence, our significance level would be given by $\alpha=1-0.80=0.20$ and $\alpha/2 =0.10$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.28$

Solution to the problem

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

Since we don't have prior info for the proportion of interest we can use $\hat p=0.5$ as estimator. And on this case we have that $ME =\pm 0.025$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36$

And rounded up we have that n=656

5 0

3 years ago

What is the answer so i can pass

Lelechka [254]

Answer:

8/100 is equivalent to 0.08

Step-by-step explanation:

The second digit place to the right of the decimal point is the hundredths place, so that is where the 8 belongs because it is 8/100 in fraction form.

Hope this helped :)

6 0

3 years ago

Suppose you have 15 muffins. How many muffins are left after you give a friend 1/3 of them?

madam [21]

You would have 10 muffins left because 1/3 of 15 is 5 so 15-5=10

5 0

3 years ago

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