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kompoz [17]
2 years ago
10

PLEASE HALP MEEEEEEE what is 50% of 4 ?

Mathematics
1 answer:
olganol [36]2 years ago
8 0

Answer:

equal to 2

Step-by-step explanation:

50% is the same as 1/2 of 4

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In preparation for an earnings report, a large retailer wants to estimate p= the proportion of annual sales
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Using the z-distribution, it is found that the 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).

<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.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

The sample size and the estimate are given by:

n = 161, \pi = \frac{37}{161} = 0.2298

Hence:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 - 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.1648

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 + 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.2948

The 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).

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

5 0
2 years ago
Reduce to simplest form. -\dfrac{7}{8}-\left(-\dfrac{5}{6}\right)=− 8 7 ​ −(− 6 5 ​ )=minus, start fraction, 7, divided by, 8, e
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Answer:

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Step-by-step explanation:

We are required to reduce the expression below to its simplest form

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<u>STEP 1: </u>Remove the brackets

Take note that the product of same sign(- and -) will give you the addition sign.

-\dfrac{7}{8}-\left(-\dfrac{5}{6}\right)=-\dfrac{7}{8}+\dfrac{5}{6}

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Lowest Common Multiple of 8 and 6 is 24

<u>STEP 3:</u> Use the LCM to Simplify

-\dfrac{7}{8}+\dfrac{5}{6}=\dfrac{(-3X7)+(5X4)}{24}\\=\dfrac{-21+20}{24}\\=\dfrac{-1}{24}\\=-\dfrac{1}{24}

Therefore:

-\dfrac{7}{8}-\left(-\dfrac{5}{6}\right)=-\dfrac{1}{24}

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