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Olegator [25]
3 years ago
15

The circumference of a circle is 100.48 millimeters. What is the circle's radius?

Mathematics
1 answer:
Firlakuza [10]3 years ago
5 0

Answer:

r=15.99

Step-by-step explanation:

r=C

2π=100.48

2·π≈15.99189

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Solve for x<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%20-%202%7D%20%20%3D%200" id="TexFormula1" title=" \sqrt{x - 2}
Firdavs [7]

To solve for x, you need to isolate/get x by itself in the equation:

\sqrt{x-2} =0       Square ² both sides to get rid of the square root √

(\sqrt{x-2} )^2=(0)^2

x - 2 = 0           Add 2 on both sides

x - 2 + 2 = 0 + 2

x = 2

3 0
3 years ago
Using traditional methods it takes 92 hours to receive an advanced flying license. A new training technique using Computer Aided
DanielleElmas [232]

Answer:

The value of the test statistic is z = 1.39.

The p-value of the test is 0.0823 > 0.05, which means that there is not evidence at the 0.05 level that the technique lengthens the training time.

Step-by-step explanation:

Using traditional methods it takes 92 hours to receive an advanced flying license.

This means that at the null hypothesis, it is tested if the mean is of 92, that is:

H_0: \mu = 92

Test if there is evidence that the technique lengthens the training time

At the alternative hypothesis, it is tested if the mean is more than 92, that is:

H_1: \mu > 92

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

92 is tested at the null hypothesis:

This means that \mu = 92

A researcher used the technique on 70 students and observed that they had a mean of 93 hours. Assume the population variance is known to be 36.

This means that n = 70, X = 93, \sigma = \sqrt{36} = 6

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{93 - 92}{\frac{6}{\sqrt{70}}}

z = 1.39

The value of the test statistic is z = 1.39.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 93, which is 1 subtracted by the p-value of z = 1.39.

Looking at the z-table, z = 1.39 has a p-value of 0.9177.

1 - 0.9177 = 0.0823.

The p-value of the test is 0.0823 > 0.05, which means that there is not evidence at the 0.05 level that the technique lengthens the training time.

8 0
3 years ago
Which pair of triangles are congruent by ASA ?
Eddi Din [679]
Your answer is going to be letter D.)?
6 0
3 years ago
I need help with this one too
natali 33 [55]

Hey there! :)

Answer:

y = 11.

Step-by-step explanation:

Set both of the equations equal:

5x - 9 = x² - 3x + 7

Rearrange the equation:

0 = x² - 3x - 5x  + 9  + 7

Combine like terms:

0 = x² - 8x + 16

Factor:

0 = (x -4)²

Solve for x:

0 = x - 4

x = 4.

Plug this into an equation to solve for 'y':

y = 5(4) - 9

y = 20 - 9

y = 11.

3 0
3 years ago
Read 2 more answers
A)
satela [25.4K]

Answer:

9+10=21

Step-by-step explanation:

3 0
3 years ago
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