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MakcuM [25]
3 years ago
12

Using π = 3.14, find the area of a circle with a radius of 7. Round your answer to the nearest hundredth

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
6 0

Answer:

The formula for calculating the circumference (C) of a circle, C = πD or C = 2πR, is simple if you know the circle's diameter (D) or radius (R). But what do you do if you only know the circle's area? Like many things in math, there are multiple solutions to this problem. The formula C = 2√πA is designed to find a circle's circumference using the area (A). Alternatively, you can solve the equation A = πR2 in reverse to find R, then plug R into the circumference equation. Both equations provide the same result.

Step-by-step explanation:

The formula for calculating the circumference (C) of a circle, C = πD or C = 2πR, is simple if you know the circle's diameter (D) or radius (R). But what do you do if you only know the circle's area? Like many things in math, there are multiple solutions to this problem. The formula C = 2√πA is designed to find a circle's circumference using the area (A). Alternatively, you can solve the equation A = πR2 in reverse to find R, then plug R into the circumference equation. Both equations provide the same result.

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Twelve-fifths

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A group of researchers are interested in the possible effects of distracting stimuli during eating, such as an increase or decre
Dmitry [639]

Using the t-distribution, it is found that since the p-value of the test is of 0.0302, which is <u>less than the standard significance level of 0.05</u>, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.

At the null hypothesis, it is <u>tested if the consumption is not different</u>, that is, if the subtraction of the means is 0, hence:

H_0: \mu_1 - \mu_2 = 0

At the alternative hypothesis, it is <u>tested if the consumption is different</u>, that is, if the subtraction of the means is not 0, hence:

H_1: \mu_1 - \mu_2 \neq 0

Two groups of 22 patients, hence, the standard errors are:

s_1 = \frac{45.1}{\sqrt{22}} = 9.6154

s_2 = \frac{26.4}{\sqrt{22}} = 5.6285

The distribution of the differences is has:

\overline{x} = \mu_1 - \mu_2 = 52.1 - 27.1 = 25

s = \sqrt{s_1^2 + s_2^2} = \sqrt{9.6154^2 + 5.6285^2} = 11.14

The test statistic is given by:

t = \frac{\overline{x} - \mu}{s}

In which \mu = 0 is the value tested at the null hypothesis.

Hence:

t = \frac{25 - 0}{11.14}

t = 2.2438

The p-value of the test is found using a <u>two-tailed test</u>, as we are testing if the mean is different of a value, with <u>t = 2.2438</u> and 22 + 22 - 2 = <u>42 df.</u>

  • Using a t-distribution calculator, this p-value is of 0.0302.

Since the p-value of the test is of 0.0302, which is <u>less than the standard significance level of 0.05</u>, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.

A similar problem is given at brainly.com/question/25600813

4 0
3 years ago
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You are multiplying by 10 each time so it is:
.02, 0.2, 2, 20, 200, 2000
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