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3 years ago

Calculus1 help involving graphs.

Mathematics

1 answer:

tatuchka [14]3 years ago

4 0

Answer:

-0.67

Step-by-step explanation:

Pick two points on the tangent line, and find the slope between them.

The line passes through approximately (30,145) and (90, 105).

m = (105 − 145) / (90 − 30)

m = -0.67

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Step-by-step explanation:

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Help me pleaseee (10 points )

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Answer:

m<T = , m<M = and m<Z =

Step-by-step explanation:

From the given ∆TMZ, let the measure angle T be represented by T.

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Reading proficiency: An educator wants to construct a 99.5% confidence interval for the proportion of elementary school children

Shkiper50 [21]

Answer:

A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

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The margin of error of the interval is given by:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In this problem, we have that:

$p = 0.69$

99.5% confidence level

So $\alpha = 0.005$ , z is the value of Z that has a pvalue of $1 - \frac{0.005}{2} = 0.9975$ , so $Z = 2.81$ .

Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.07?

This is n when M = 0.07. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.07 = 2.81\sqrt{\frac{0.69*0.31}{n}}$

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$\sqrt{n} = \frac{1.2996}{0.07}$

$\sqrt{n} = 18.5658$

$(\sqrt{n})^{2} = (18.5658)^{2}$

$n = 345$

A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07

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3 years ago