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Dennis_Churaev [7]
3 years ago
5

What is the formula for the circumferences of a circle in terms of r?

Mathematics
1 answer:
Paha777 [63]3 years ago
3 0

Answer: Pi · 2r

Step-by-step explanation:

The standard formula to find the circumference of a circle is Pi times the diameter of the circle. The diameter is 2 times the radius, which is what you're going to use in the formula.

So instead of Pi times the diameter, we have Pi times 2 times the radius. Thus, the formula is Pi · 2r.

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3 years ago
Consider the following hypothesis test:
Gnom [1K]

Answer:

a. z=3.09. Yes, it can be concluded that the population mean is greater than 50.

b. z=1.24. No, it can not be concluded that the population mean is greater than 50.

c. z=2.22. Yes, it can be concluded that the population mean is greater than 50.

Step-by-step explanation:

We have a hypothesis test for the mean, with the hypothesis:

H_0: \mu\leq50\\\\H_a:\mu> 50

The sample size is n=55 and the population standard deviation is 6.

The significance level is 0.05.

We can calculate the standard error as:

\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{6}{\sqrt{55}}=0.809

For a significance level of 0.05, the critical value for z is zc=1.644. If the test statistic is bigger than 1.644, the null hypothesis is rejected.

a. If the sample mean is M=52.5, the test statistic is:

z=\dfrac{M-\mu}{\sigma_M}=\dfrac{52.5-50}{0.809}=\dfrac{2.5}{0.809}=3.09

The null hypothesis is rejected, as z>zc and falls in the rejection region.

b. If the sample mean is M=51, the test statistic is:

z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51-50}{0.809}=\dfrac{1}{0.809}=1.24

The null hypothesis failed to be rejected, as z<zc and falls in the acceptance region.

c. If the sample mean is M=51.8, the test statistic is:

z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51.8-50}{0.809}=\dfrac{1.8}{0.809}=2.22

The null hypothesis is rejected, as z>zc and falls in the rejection region.

8 0
3 years ago
What is the value of 11x11x11
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The answer is 11x11x11=1331
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Which of the following does NOT represent the function f(x) = 2x + 3?
m_a_m_a [10]

Answer:

The answer is C

Step-by-step explanation:

All of the other answers have the same domain and range for the function.

5 0
3 years ago
the texas state legislature is composed of state senators and state representatives. the sum of the number of senators and repre
Thepotemich [5.8K]

Answer:

Step-by-step explanation:

s + r = 181

r = 119 + s

s + 119 + s = 181

2s + 119 = 181

2s = 181 - 119

2s = 62

s = 62/2

s = 31 <=== there are 31 senators

r = 119 + s

r = 119 + 31

r = 150 <=== there are 150 representatives

4 0
3 years ago
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