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Murljashka [212]
2 years ago
6

Can someone please explain to me how to solve #7?

Mathematics
1 answer:
aivan3 [116]2 years ago
3 0
Sum of all angles inside of a triangle equal 180 degree

The sum of obtuse angles (the one inside of the triangle, bottom right and the one next to is ) must total 180 degrees

so first I would do the obtuse ones

180 = x +15x-4
180 = 16x - 4
184 = 16x
x = 11.5 degrees

so now I would do the inside triangle angles...tell me what you got


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3 years ago
1. What is the median of the following numbers? 36,42,28, 52, 48, 36, 31<br> 36<br> O 42<br> O 48
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3 years ago
f the dean wanted to estimate the proportion of all students receiving financial aid to within 3% with 99% reliability, how many
Oksanka [162]

Answer:

n=1849

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, z_{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 0.03 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)  

Assuming that the proportion is estimated \hat p =0.5. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{2.58})^2}=1849  

And rounded up we have that n=1849

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8 0
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The product of three and a number decreased by ten is thirteen
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Answer:

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Hope this helps!

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