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timofeeve [1]
3 years ago
6

A line passes through the point (-9,5) and has a slope of

Mathematics
1 answer:
Art [367]3 years ago
8 0

Answer:

y=4x/3+17

Step-by-step explanation:

4/3=y-5/x+9

y=4x/3+17

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Answer:

n=\frac{0.04(1-0.04)}{(\frac{0.03}{1.64})^2}=114.76  

And rounded up we have that n=115

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 90% of confidence, our significance level would be given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64

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)  

The proportion of defectives is estimated as: \hat p=0.04. And on this case we have that the margin of error is ME =\pm 0.03 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{0.04(1-0.04)}{(\frac{0.03}{1.64})^2}=114.76  

And rounded up we have that n=115

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