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pshichka [43]
3 years ago
12

12 touchdowns in 6 games unit rate

Mathematics
2 answers:
Y_Kistochka [10]3 years ago
7 0
Hey there!

To find the unit rate of touchdowns per game, start with this proportion where x is the amount of touchdowns:
\frac{12}{6}=\frac{x}{1}

Now, cross multiply:
12=6x

Divide both sides to solve for x:
12/6=6x/6
x=2

Therefore, you have 2 touchdowns for every game or 2/1.
Ulleksa [173]3 years ago
4 0
If you make it a ratio, it will be 12:6 which is reduced to 2:1. 
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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:

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Solution to the problem

The margin of error for the proportion interval is given by this formula:  

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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

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