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Brrunno [24]
3 years ago
8

Find COS

Mathematics
1 answer:
ehidna [41]3 years ago
6 0

\frac{9}{41}

Step-by-step explanation:

The ratio cosine tell us that

  • In a right angled triangle, the cosine of an angle is the side adjacent to the angle divided by the hypotenuse of the triangle.

In other words,

\cos(x)  =  \frac{adj}{hyp}

The side adjacent to angle a is 9. The hypotenuse is 41.

So

\cos(a)  =  \frac{9}{41}

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Express the confidence interval
marissa [1.9K]

Answer:

\hat p = \frac{0.244+0.326}{2}=0.285

ME = \frac{0.326-0.244}{2}=0.041

0.285 \pm 0.041

Step-by-step explanation:

For this case we have a confidence interval given as a percent:

24.4\% \leq p \leq 32.6\%

If we express this in terms of fraction we have this:

0.244 \leq p \leq 0.326

We know that the confidence interval for the true proportion is given by:

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

And thats equivalent to:

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We can estimate the estimated proportion like this:

\hat p = \frac{0.244+0.326}{2}=0.285

And the margin of error can be estimaed using the fact that the confidence interval is symmetrical

ME = \frac{0.326-0.244}{2}=0.041

And then the confidence interval in the form desired is:

0.285 \pm 0.041

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Answer:

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Step-by-step explanation:

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