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lisabon 2012 [21]
2 years ago
7

The LCM of 42, 63, and 84 is​

Mathematics
1 answer:
frozen [14]2 years ago
5 0

3| 42 , 63 , 84

7| 14 , 21 , 28

1| 2 , 3 , 4

2 × 3 × 4 × 7 × 3 = 504

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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
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
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Answer:

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Step-by-step explanation:

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Since both of these are attached to h by multiplication, we divide by both to cancel.  We can divide by both at the same time:

\frac{V}{\pi r^2}=\frac{\pi r^2h}{\pi r^2}\\\\\frac{V}{\pi r^2}=h

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Answer:

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Step-by-step explanation:

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Answer:

3x³ - 2x² + 1 = 0

Step-by-step explanation:

By definition, a quadratic equation cannot have an exponent higher than 2.

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X + y = 25
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