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inna [77]
3 years ago
7

Jupiter has a diameter of about 86,900 miles, 27.5 times the diameter of Mercury. Earth's diameter is about 7,900 miles, 2.5 tim

es that of Mercury. Jupiter's diameter is about how many times greater than Earth's diameter.

Mathematics
1 answer:
Alecsey [184]3 years ago
4 0
Hope this helps you!

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In the past, 21% of all homes with a stay-at-home parent, the father is the stay-at-home parent. An independent research firm ha
Afina-wow [57]

Answer:

A sample size of 79 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

\pi = 0.21

The margin of error is:

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

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.  

What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.09?

A sample size of n is needed.

n is found when M = 0.09. So

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

0.09 = 1.96\sqrt{\frac{0.21*0.79}{n}}

0.09\sqrt{n} = 1.96\sqrt{0.21*0.79}

\sqrt{n} = \frac{1.96\sqrt{0.21*0.79}}{0.09}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.21*0.79}}{0.09})^{2}

n = 78.68

Rounding up to the nearest whole number.

A sample size of 79 is needed.

4 0
3 years ago
What does x equal? <br> Thanks!
11Alexandr11 [23.1K]

Answer: 33 degrees

Step-by-step explanation:

See paper attached. (:

4 0
3 years ago
Read 2 more answers
mario earned three times as much money last year as his wife elena. the total amount that the two earned was 11,000. how much mo
JulsSmile [24]
That would mean Mario earns 33000
7 0
3 years ago
What is m Help please!
Stels [109]

9514 1404 393

Answer:

  40°

Step-by-step explanation:

The similarity statement tells you that angles W and P have the same measure. The sum of angles in the triangle is 180°, so we have ...

  ∠R +∠W +∠T = 180°

  85° +55° +∠T = 180°

  ∠T = 180° -140°

  ∠T = 40°

4 0
3 years ago
What is the reminder? Help
Vanyuwa [196]

Answer:

6

Step-by-step explanations:

The remainder is what is left over after dividing whatever from d. So if you add one to d, then the remainder would increase from 5 to 6.

Hope this helps.

4 0
3 years ago
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