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Akimi4 [234]
3 years ago
5

Find the area of a circle givin the diameter of 12. Use 3.14 for pi.​

Mathematics
1 answer:
valina [46]3 years ago
8 0

Answer:

113.04 units^2

Step-by-step explanation:

The area of a circle can be found using:

a=\pi r^{2}

First, we need to find the radius, since we have the diameter.

<u />

<u><em>Radius</em></u>

The radius is half the diameter, or

r=d/2

We know the diameter is 12, so we can substitute that in

r=12/2                <em>Divide </em>

r=6

<u><em>Area </em></u>

Now we know the radius and can substitute it into the area formula

a=\pi r^{2}

a=\pi 6^2                 <em>Solve the exponent </em>

a=\pi 36

Substitute 3.14 in for pi

a=3.14*36                   <em>Multiply </em>

a=113.04

We aren't given a specific unit, so we can say the area is

113.04 units^2

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Answer:

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Step-by-step explanation:

I don't really know how to explain this over a computer, but it is correct.

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3 years ago
in slope intercept form, what is the equation of the line having a slope of 2 and passing through the point (6,24)?​
Yanka [14]
Answer: y = 2x + 12

Explanation: The slope-intercept form is y = mx + b, where m is slope and b is the y-intercept. Substituting 2 for m, 6 for x, and 24 for y, we have 24 = 2(6) + b. Simplifying, we get that b = 12, so the equation is y = 2x + 12.
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2 years ago
Read 2 more answers
A random sample of 50 recent college graduates results in a mean time to graduate of 4.58 years, with a standard deviation of 1.
Anna007 [38]

Answer:

The 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32, 4.84).

Yes, this confidence interval contradict the belief that it takes 4 years to complete a bachelor’s degree.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population mean <em>μ, </em>when the population standard deviation is not known is:

CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}

The information provided is:

\bar x=4.58\\s=1.10\\\alpha =0.10

Compute the critical value of <em>t</em> for 90% confidence interval and (n - 1) degrees of freedom as follows:

t_{\alpha/2, (n-1)}=t_{0.10/2, (50-1)}=t_{0.05, 49}=1.671

*Use a <em>t</em>-table for the probability.

Compute the 90% confidence interval for population mean <em>μ</em> as follows:

CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}

     =4.58\pm 1.671\times \frac{1.10}{\sqrt{50}}\\=4.58\pm 0.26\\=(4.32, 4.84)

Thus, the 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32, 4.84).

If a hypothesis test is conducted to determine whether it takes 4 years to complete a bachelor’s degree or not, the hypothesis will be:

<em>Hₐ</em>:<em> </em>The mean time it takes to complete a bachelor’s degree is 4 years, i.e. <em>μ </em>= 4.

<em>Hₐ</em>:<em> </em>The mean time it takes to complete a bachelor’s degree is different from 4 years, i.e. <em>μ </em>≠ 4.

The decision rule based on a confidence interval will be:

Reject the null hypothesis if the null value is not included in the interval.

The 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32 years, 4.84 years).

The null value, i.e. <em>μ </em>= 4 is not included in the interval.

The null hypothesis will be rejected at 10% level of significance.

Thus, it can be concluded that that time it takes to complete a bachelor’s degree is different from 4 years.

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Answer:a

Step-by-step explanation:

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