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melamori03 [73]
3 years ago
15

PLEASE HELP AND I NEED IT EXPLAINED IT TO ME ALSO..THANK YOU​

Mathematics
2 answers:
FinnZ [79.3K]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , then

sum = 180° × 3 = 540°

Sum the interior angles and equate to 540

3x - 11 + x + 8 + x + 2x + 7 + x - 8 = 540 , that is

8x - 4 = 540 ( add 4 to both sides )

8x = 544 ( divide both sides by 8 )

x = 68

Then

∠ U = x - 8 = 68 - 8 = 60°

∠ V = 3x - 11 = 3(68) - 11 = 204 - 11 = 193°

∠ W = x + 8 = 68 + 8 = 76°

∠ Y = x = 68°

∠ Z = 2x + 7 = 2(68) + 7 = 136 + 7 = 143°

Mekhanik [1.2K]3 years ago
3 0

The sum of the inside angles of a 5 sided figure needs to equal 540 degrees.

Add all the angles together to equal 540 and solve for x. Once you have the value for x you can use that to figure out all the angles.

X-8 + 3x-11 + x + 8 + 2x + 7 + x = 540

Simplify by combing like terms:

8x - 4 = 540

Add 4 to both sides:

8x = 544

Divide both sides by 8:

X = 68

Now replace x with 68 in each angle and solve:

U = 68-8 = 60

V = 3(68)-11 = 204-11 = 193

W = 68 + 8 = 76

Y = 68

Z = 2(68) + 7 = 136 + 7 = 143

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Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the online platform was accessed significantly more so than before the stay at home order.

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H_0: \mu=1000\\\\H_a:\mu> 1000

The significance level is 0.05.

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As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=489.

The estimated standard error of the mean is computed using the formula:

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Then, we can calculate the t-statistic as:

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The degrees of freedom for this sample size are:

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This test is a right-tailed test, with 107999 degrees of freedom and t=254.036, so the P-value for this test is calculated as (using a t-table):

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As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to support the claim that the online platform was accessed significantly more so than before the stay at home order.

The effect size can be estimated with the Cohen's d.

This can be calculated as:

d=\dfrac{M-\mu}{\sigma}=\dfrac{1378-1000}{489}=\dfrac{378}{489}=0.77

The values of Cohen's d between 0.2 and 0.8 are considered "Medium", so in this case, the effect size d=0.77 is medium.

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