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3 years ago

What would be the answer to this question?

Mathematics

1 answer:

Alina [70]3 years ago

6 0

I would say 46 degrees because 180 - 134 = 46.

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Lauren bought g golf balls. The balls came in 10 packages. Write an expression that shows how many golf balls were in each packa

mezya [45]

G/10
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2 years ago

Your state is considering raising the legal age for consumption of alcoholic beverages to 21 years old. How large a sample size

julsineya [31]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641$

And rounded up we have that n=16641

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:

$z_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58$

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 $ME =\pm 0.01$ 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)

For this case we can use as estimator for the proportion $\hat p =0.5$ , since we don't have any other previous info. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641$

And rounded up we have that n=16641

8 0

3 years ago

What is the percent error in using 3.14 as an approximation of pi

inessss [21]

Pi is an irrational number meaning it has no end, 3.14 is just an estimate which means that it is not accurate.

5 0

2 years ago

Pls i need answeres 3 values that would make this inequality true.8n + 4 ≤ 28

igor_vitrenko [27]

The way you can get this answer you can use the calculater

7 0

3 years ago

On a circle of radius 10 feet, what angle would subtend an arc of length 1 feet?

Alenkasestr [34]

$\bf s=\cfrac{r\theta \pi }{180}\quad 
\begin{cases}
r=radius\\
\theta=\textit{angle in degrees}\\
s=\textit{arc's length}\\
--------------\\
r=10\\
s=1
\end{cases}
\\\\\\
1=\cfrac{10\cdot \theta\cdot \pi }{180}\impliedby \textit{solve for }\theta$

6 0

3 years ago