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3 years ago

How to do question 1 and 2

Mathematics

1 answer:

prisoha [69]3 years ago

7 0

For the question 2
the square root of a is a^(1/2)
so you can multiply a^2 and a^(1/2)
to get a^2.5
(a^3)^2 is equal to a^6
Divide a^2.5by a^6
The answer is a^(-3.5)
or 1/a^(3.5)

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Step-by-step explanation:

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3 years ago

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nydimaria [60]

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We need a sample size of 564.

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.

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

In which

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For this problem, we have that:

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95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

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n is found when $M = 0.04$

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$0.04 = 1.96\sqrt{\frac{0.6231*0.3769}{n}}$

$0.04\sqrt{n} = 1.96\sqrt{0.6231*0.3769}$

$\sqrt{n} = \frac{1.96\sqrt{0.6231*0.3769}}{0.04}$

$(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.6231*0.3769}}{0.04})^{2}$

$n = 563.8$

Rounding up

We need a sample size of 564.

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gtnhenbr [62]

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