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melomori [17]
3 years ago
7

-3 1/3 as a decimal show work

Mathematics
1 answer:
Sonja [21]3 years ago
3 0
The answer would be -3.333333

Step 1: (1÷3)= 0.333333

Step 2: 3+0.333333= 3.333333

Step 3: Finally you would bring the negative sign down and the answer would be -3.333333! I hope this helps :)
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Three or more points that lie on the same line are collinear points .

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Nikos removed 25 blocks from a board game over his last 5 turns. He removed the same number of blocks during each turn. Which nu
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Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. Whe
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Answer:

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

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

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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".  

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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 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)  

And on this case we have that 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)

We don't have a prior estimation for the proportion \hat p so we can use 0.5 as an approximation for this case  

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

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

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Answer:

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