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Aleks [24]
3 years ago
10

If the diameter of the following circle is tripled, which of the following expressions could be used to find the area of the new

circle?
9(254.34 in.2)
3(254.34 in.2)
9(1,017.36 in.2)
3(113.04 in.2)

2.The area of a triangle that is similar to the one below is the area of this triangle. What is the length of the base of the similar triangle?



2.3 ft
3.3 ft
7 ft
63 ft

Mathematics
1 answer:
sashaice [31]3 years ago
6 0

Answer:

9(254.34 in. 2)

and

7ft

Step-by-step explanation:

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A doctor at a local hospital is interested in estimating the birth weight of infants. How large a sample must she select if she
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Answer:

The minimum sample size needed is n = (\frac{1.96\sqrt{\sigma}}{4})^2. If n is a decimal number, it is rounded up to the next integer. \sigma is the standard deviation of the population.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.9}{2} = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.645.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How large a sample must she select if she desires to be 90% confident that her estimate is within 4 ounces of the true mean?

A sample of n is needed, and n is found when M = 4. So

M = z\frac{\sigma}{\sqrt{n}}

4 = 1.96\frac{\sigma}{\sqrt{n}}

4\sqrt{n} = 1.96\sqrt{\sigma}

\sqrt{n} = \frac{1.96\sqrt{\sigma}}{4}

(\sqrt{n})^2 = (\frac{1.96\sqrt{\sigma}}{4})^2

n = (\frac{1.96\sqrt{\sigma}}{4})^2

The minimum sample size needed is n = (\frac{1.96\sqrt{\sigma}}{4})^2. If n is a decimal number, it is rounded up to the next integer. \sigma is the standard deviation of the population.

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