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igor_vitrenko [27]
3 years ago
14

What is another way to write the absolute value inequality |p| less than or equal to 12

Mathematics
2 answers:
s344n2d4d5 [400]3 years ago
6 0

Answer:

A. -12 < or = p < or = 12

Step-by-step explanation:

on E2020

const2013 [10]3 years ago
4 0

Since it is written like this: |p| ≤ 12, you can subtract 12 from both sides using the subtraction property of equality to obtain your answer:

|p|-12≤0

Hope this helps!

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Using the z-distribution, as we are working with a proportion, it is found that samples of 937 should be taken.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

The margin of error is given by:

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

In this problem, we have that:

  • The estimate is of \pi = 0.675.
  • The margin of error is of M = 0.03.
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Then, we solve for n to find the minimum sample size.

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0.03\sqrt{n} = 1.96\sqrt{0.675(0.325)}

\sqrt{n} = \frac{1.96\sqrt{0.675(0.325)}}{0.03}

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More can be learned about the z-distribution at brainly.com/question/25890103

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