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3 years ago

PLZ HELP I WILL MARK BRAINLIEST

Mathematics

2 answers:

mina [271]3 years ago

4 0

Answer:

Step-by-step explanation:

22 less than a number, q-22, ‘is’ 24 is =24

q-22=24 adding 22 to both sides gives q=46

dybincka [34]3 years ago

3 0

Answer:

q minus 22 = 24: Add 22 to both sides. The answer is 46.

Step-by-step explanation:

Solve each equation to see if it works.

Q - 22 = 24 does work.

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Second question: A sample size no smaller than 418 is needed.

Step-by-step explanation:

First question:

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Upper bound:

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Second question:

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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The margin of error is:

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

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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 $Z = 1.96$ .

The project manager wants to estimate the proportion to within 0.03

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

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$0.03\sqrt{n} = 1.96\sqrt{0.11*0.89}$

$\sqrt{n} = \frac{1.96\sqrt{0.11*0.89}}{0.03}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{0.11*0.89}}{0.03})^2$

$n = 417.9$

Rounding up

A sample size no smaller than 418 is needed.

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