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lana [24]
3 years ago
5

Help me find the measure

Mathematics
1 answer:
belka [17]3 years ago
3 0

Answer:

the value of x is 40 degree and the value of (2x+11) is 91 degree.

Step-by-step explanation:

hope it helps you.

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Answer:

A=452.39\ cm^2

Step-by-step explanation:

The formula to calculate the surface area of a sphere is the following:

A=4\pi r^2

Where A is the area of the sphere and r is the radius of the sphere.

In this case we know that the diameter d of the sphere is:

d = 12\ cm

The diameter is:

d = 2r.

Thus

r = \frac{d}{2}\\\\r = \frac{12}{2}\\\\r=6\ cm

Then the surface area of the sphere is:

A=4\pi (6)^2\\\\A = 144\pi\ cm^2\\\\A=452.39\ cm^2

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Calculate the variance and the standard deviation of the data below 23. 19, 22, 30, 28
Alina [70]

To get the variance, start with finding the mean of your data points:

(23 + 19 + 22 + 30 + 28) / 5 = 24.4

Now take each data point and subtract the mean from it, then square that value:

23 - 24.4 = -1.4 * -1.4 = 1.96

19 - 24.4 = -5.4 * -5.4 = 29.16

22 - 24.4 = -2.4 * -2.4 = 5.76

30 - 24.4 = 5.6 * 5.6 = 31.36

28 - 24.4 = 3.6 * 3.6 = 12.96

Now get the average of those new numbers. That is your variance:

(1.96 + 29.16 + 5.76 + 31.36 + 12.96) / 5 = 16.24

The standard deviation will be the square root of the variance:

√(16.24) = 4.0299 (rounded to 4DP)

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