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Inga [223]
3 years ago
8

Simplify the expression 8^5/3

Mathematics
1 answer:
Nikolay [14]3 years ago
3 0

Answer:

10992 2/3

Step-by-step explanation:

Hello!

8^{5} = 32768. \\$32768 \div$ 3: \\\\10922\quad{\text{Remainder}\quad \:2.

{\text{We can also represent this as\:} 10922 \: \frac{2}{3}.

Thus, the simplified version is \boxed{10922 \frac{2}{3}}.

Hope this helps!

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3 years ago
In preparation for an earnings report, a large retailer wants to estimate p= the proportion of annual sales
mr Goodwill [35]

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:

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\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
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