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Leto [7]
4 years ago
6

Use the formula to find the length of the radius if the area is 25 square centimeters.

Mathematics
1 answer:
Alexandra [31]4 years ago
5 0

Answer:r = 2.81 centimeters

Step-by-step explanation:

The area of this circle can be found using the formula

A=πr^2

Where r = radius of the circle

π is a constant whose value is 3.14

We are given the area of the circle to be 25 square centimeters. To determine the length of the radius of the circle , we will make r the subject of the formula

r^2 = A/π

Taking square root of both sides of the equation,

r = √A/π

Since A = 25 and π = 3.14,

r= √25/3.14

r = 2.82166323992

Approximating to the nearest tenth of a centimeter,

r = 2.81 centimeters

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A country's education department reported that in 2015, 70.8% of students enrolled in college or a trade school within 12 months
Gennadij [26K]

Answer:

The confidence interval has a lower limit of 0.546 and an upper limit of 0.675.

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

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

In 2017, a random sample of 154 individuals who graduated from high school 12 months prior was selected. From this sample, 94 students were found to be enrolled in college or a trade school.

This means that n = 154, \pi = \frac{94}{154} = 0.6104

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6104 - 1.645\sqrt{\frac{0.6104*0.3896}{154}} = 0.546

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6104 + 1.645\sqrt{\frac{0.6104*0.3896}{154}} = 0.675

The confidence interval has a lower limit of 0.546 and an upper limit of 0.675.

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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4 years ago
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LenKa [72]

Answer:

C. 55s

Step-by-step explanation:

I'll refer to Wyndham as W and Michael as M.

Also, we will be assuming constant speed for both runners.

So, first of all, W ran with a speed of 8m/s;

400m/50s = 8 m/s

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400m/43.18s = 9.26.... m/s

The difference is 1.26.... m/s, meaning every second, the distance between M and W would increase by 1.26.....m, starting from 0 at the start line;

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So, to find the desired distance, we simply multiply 1.26... by 43.18;

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8 0
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Kamila [148]

Answer:

Step-by-step explanation:

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