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Neporo4naja [7]
3 years ago
13

jonah is thinking of a 2 digit number. it's a multiple of 6 and 12. its a factor of 108. what number is jonah thinking of?

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
8 0
Most likely 12. this is because 12 is a 2 digit number. 6(2) is 12, 12(1) is 12.
12(9)is 108
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A confidence interval was used to estimate the proportion of statistics students that are female. A random sample of 72 statisti
jeyben [28]

Answer:

We need a sample of size at least 13.

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

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The margin of error is:

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

90% confidence interval: (0.438, 0.642).

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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.

Using the information above, what size sample would be necessary if we wanted to estimate the true proportion to within ±0.08 using 95% confidence?

We need a sample of size at least n.

n is found when M = 0.08. So

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

0.08 = 1.96\sqrt{\frac{0.54*0.46}{n}}

0.08\sqrt{n} = 1.96\sqrt{0.54*0.46}

\sqrt{n} = \frac{1.96\sqrt{0.54*0.46}}{0.08}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.54*0.46}}{0.08})^{2}

n = 12.21

Rounding up

We need a sample of size at least 13.

3 0
3 years ago
Anne is planting a garden she is putting up a fence. The fence is 12.4 metres long and
Dmitrij [34]
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5 0
3 years ago
Read 2 more answers
What are the domain and range of f(x) = 2|x - 4|?
exis [7]

Answer:

D : All real numbers

R : (-∞,∞)

Step-by-step explanation:

When your x is in a set of absolute value sign, any number can work for x.

As with Domain, you can do the same with range. In this case, you can go from both positive infinity and negative infinity and you will always get a real number solution.

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3 years ago
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