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ollegr [7]
3 years ago
15

Need some help with this :( (Don’t answer if you don’t know)15 points

Mathematics
1 answer:
Vika [28.1K]3 years ago
5 0
I agree with the person on top!
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Find the measure of angle b.<br> 40°<br> A) 140°<br> C) 40°<br> B) 50°<br> D) 136°
spayn [35]

Now,

b + 40° = 90° ( right angle )

or, b = 90° - 40°

◆ b = 50°

B) 50°

This is Right answer...

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vaieri [72.5K]
So u can give dat person brainlist
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The perimeter of a certain rectangle is 16 times the width. The length is 12 cm more than the width. Find the length and width o
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Your state is considering raising the legal age for consumption of alcoholic beverages to 21 years old. How large a sample size
julsineya [31]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641  

And rounded up we have that n=16641

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".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

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:

z_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58

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)  

And on this case we have that ME =\pm 0.01 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)  

For this case we can use as estimator for the proportion \hat p =0.5, since we don't have any other previous info. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641  

And rounded up we have that n=16641

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The scale factor applied to the model is 8000. 8000 times one equals 8000
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