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vekshin1
3 years ago
6

Simplify the expression. 1) 10x - x + 2 + 10

Mathematics
1 answer:
dsp733 years ago
5 0

Answer:

9x+12

Step-by-step explanation:

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22÷34=? what is answer <br>​
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Answer:

0.64705882352

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0.65

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Step-by-step explanation:

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2 years ago
Find the value of x. If necessary, round your answer to the nearest tenth.
NikAS [45]

Answer:

69°

Step-by-step explanation:

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3 years ago
7 1/2 as a fraction greater than 1
9966 [12]

Answer:

yes 15/2

Step-by-step explanation:

3 0
2 years ago
Suppose a sample of size 400 yields pˆ = .5. You'd like to construct a confidence interval with a margin of error only half as g
lutik1710 [3]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.0245}{1.96})^2}=1600  

c. 1600

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 solve this problem we need to assume a confidence level. Let's assume that is 95%

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 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

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)  

First we need to find the margin of error from the original sample given by:

ME=1.96\sqrt{\frac{0.5 (1-0.5)}{400}}=0.049

And on this case we have that ME =\pm 0.049/2=0.0245 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{0.0245}{1.96})^2}=1600  

c. 1600

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3 years ago
In a certain class, 25% of students wear
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