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kompoz [17]
3 years ago
15

Which of the following statements contain a variable? Check all that apply. A. There are 60 seconds in a minute. B. He is 15 yea

rs old. C. Double the number of pages in the book. D. The age of my friend.
Mathematics
1 answer:
sdas [7]3 years ago
8 0

The answer is the option C and the option D, which are:

C. Double the number of pages in the book.

D. The age of my friend.

The explanation for this problem is shown below:

By definition, a variable is an unkown quantity. In the Option A the quantity is given: 60 seconds in a minute. In the option B you know the quantity too, which is 15 years old. But the option C and the option D does not give any quantity, you don't know the number of pages in the book or the age of the friend yet. Therefore, the answer is the options C and D.

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Bas_tet [7]

Using the z-distribution, as we have a proportion, the 95% confidence interval is (0.2316, 0.3112).

<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.

We also consider that 130 out of the 479 season ticket holders spent $1000 or more at the previous two home football games, hence:

n = 479, \pi = \frac{130}{479} = 0.2714

Hence the bounds of the interval are found as follows:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2714 - 1.96\sqrt{\frac{0.2714(0.7286)}{479}} = 0.2316

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2714 + 1.96\sqrt{\frac{0.2714(0.7286)}{479}} = 0.3112

The 95% confidence interval is (0.2316, 0.3112).

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

7 0
2 years ago
What is the equation of the circle?<br> Also no links please
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Answer:

(x - 3)^2 + (y + 2)^2 = 2^2.

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Answer:

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Step-by-step explanation:

16x - 3(4x + 5) = 2x + 9

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2x/2 = 24/2

x = 12

Check:

16x - 3(4x + 5) = 2x + 9

16(12) - 3(4(12) + 5) = 2(12) + 9

192 - 3(48 + 5) = 2(12) + 9

192 - 3(53) = 24 + 9

192 - 159 = 33

33 = 33

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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