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Darina [25.2K]
4 years ago
6

I need help asap will mark you brain list. Show your work

Mathematics
1 answer:
Anna11 [10]4 years ago
3 0

Answer:

  • 1/25
  • 1/9

Step-by-step explanation:

<u>Solving exponents</u>

  • a. 5^-2 = 1/5^2 = 1/25
  • b. (3^2)^3/3^8 = 3^6/3^8 = 1/3^2 = 1/9
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Margo traveled 528.8 miles on her trip. Write a statement that compares the values of the ones and tenths digits
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In the number 528.8 the value of 8 in the ones place is 10 times the value of 0.8 in the tenths place

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In the number 528.8 the value of 8 in the ones place is 10 times the value of 0.8 in the tenths place

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Using the z-distribution, it is found that the 95% confidence interval for the proportion of all seafood sold in the United States that is mislabeled or misidentified is (0.3036, 0.3564).

<h3>z-distribution interval:</h3>

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

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  • In which z is the z-score that has a p-value of \frac{1+\alpha}{2}.

For this problem:

  • 1215 samples, hence n = 1215.
  • 33% was mislabeled or misidentified, hence p = 0.33.
  • 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 z = 1.96.

<h3>The lower limit of this interval is:</h3>

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<h3>The upper limit of this interval is:</h3>

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.33 + 1.96\sqrt{\frac{0.33(0.67)}{1215}} = 0.3564

The 95% confidence interval for the proportion of all seafood sold in the United States that is mislabeled or misidentified is (0.3036, 0.3564).

You can learn more about the use of the z-distribution to build a confidence interval at brainly.com/question/25730047

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