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2 years ago

I don't remember sector area, and this is on my review for my geometry final

Mathematics

1 answer:

Fantom [35]2 years ago

8 0

$\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta\pi r^2}{360}\qquad 
\begin{cases}
\theta=\textit{angle in degrees}\\
r=radius\\
---------\\
\theta=45\\
r=8
\end{cases}\implies A=\cfrac{45\cdot \pi \cdot 8^2}{360}$

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Answer:

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Step-by-step explanation:

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3 years ago

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2 years ago

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3 years ago

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harina [27]

Answer:

(x, y) = (-4, 4)

Step-by-step explanation:

You find the values of x and y by working the problem using any of the methods of solving simultaneous equations that you have been taught.

Here, you observe that the y-coefficients are the same in each equation. That means you can cancel the y-terms by subtracting one equation from the other.

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Now, you can substitute this into either equation to find y.

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2 years ago

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In a survey, the planning value for the population proportion is . How large a sample should be taken to provide a confidence in

tatuchka [14]

Answer:

n=350

Step-by-step explanation:

Notation and definitions

$n$ random sample taken (variable of interest)

$\hat p=0.35$ estimated proportion (value assumed)

$p$ true population proportion

Confidence =0.95 or 95% (value assumed)

Me=0.05 (value assumed)

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.

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The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

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: