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VMariaS [17]
3 years ago
13

Two questions in picture! Need help!

Mathematics
1 answer:
kkurt [141]3 years ago
5 0

Answer:

1) C) sin(θ) = 119/169

2) D) cos(θ) = 120/169

Step-by-step explanation:

The mnemonic SOH CAH TOA expresses the relationships you need for answering these questions.

Sin(θ) = Opposite/Hypotenuse = 119/169 . . . . . problem 1

Cos(θ) = Adjacent/Hypotenuse = 120/169 . . . . problem 2

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Answer:

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And the width for the confidence interval is given by:

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And we want to see the effect if we increase the confidence level for a interval. On this case if we increase the confidence level then the critical value for the confidence interval t_{\alpha/2} would be higher and then the width of the interval would increase. So then the best answer for this case would be:

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Step-by-step explanation:

Let's assume that we have a parameter of interest \mu who represent for example the true mean for a population. And we can construct a confidence interval in order to estimate this parameter if we know the distribution for the statistic let's say \bar X and for this particular example the confidence interval is given by:

\bar X \pm ME

Where ME represent the margin of error for the estimation and this margin of error is given by:

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And the width for the confidence interval is given by:

Width =2ME=2t_{\alpha/2} \frac{s}{\sqrt{n}}

And we want to see the effect if we increase the confidence level for a interval. On this case if we increase the confidence level then the critical value for the confidence interval t_{\alpha/2} would be higher and then the width of the interval would increase. So then the best answer for this case would be:

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