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OlgaM077 [116]
3 years ago
5

Each interior angle of a regular hexagon is 4x+24°. What is x?

Mathematics
1 answer:
Oduvanchick [21]3 years ago
7 0
Each interior angle of a regular hexagon is 120°.
.. 4x +24° = 120°
.. 4x = 96° . . . . . . . subtract 24°
.. x = 24° . . . . . . . . divide by 4
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Which number is a factor of 8?
saw5 [17]

Answer:

The factors of 8 are 1,2,4, and 8.

Step-by-step explanation:

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3 years ago
Find the necessary confidence interval for the binomial proportion p. (Round your answers to three decimal places.) A 90% confid
frutty [35]

Answer:

[0.875;0.925]

Step-by-step explanation:

Hello!

You have a random sample of n= 400 from a binomial population with x= 358 success.

Your variable is distributed X~Bi(n;ρ)

Since the sample is large enough you can apply the Central Limit Teorem and approximate the distribution of the sample proportion to normal

^ρ≈N(ρ;(ρ(1-ρ))/n)

And the standarization is

Z= ^ρ-ρ  ≈N(0;1)

√(ρ(1-ρ)/n)

The formula to estimate the population proportion with a Confidence Interval is

[^ρ ± Z_{1-\alpha/2}*√(^ρ(1-^ρ)/n)]

The sample proportion is calculated with the following formula:

^ρ= x/n = 358/400 = 0.895 ≅ 0.90

And the Z-value is Z_{1-\alpha/2} = Z_{0.95} = 1.648 ≅ 1.65

[0.90 ± 1.65 * √((0.90*0.10)/400)]

[0.875;0.925]

I hope you have a SUPER day!

5 0
2 years ago
Plsss help!! It’s due In 1 min plsss helppp !!!
Archy [21]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
What is the answer for m/1 =
Jobisdone [24]
<h3>Answer:  133</h3>

=============================================================

Explanation:

The quickest way to get this answer is to add the angles given to get 87+46 = 133

This is through the use of the remote interior angle theorem.

Note how the angles 87 and 46 are interior, or inside the triangle. And also, they are not adjacent to the exterior angle we want to find. So that's where the "remote" portion comes in.

----------------

The slightly longer method involves letting x be the measure of the missing interior angle of the triangle.

The three interior angles add to 180

87+46+x = 180

133+x = 180

x = 180 - 133

x = 47

The missing interior angle of the triangle is 47 degrees.

Angle 1 is adjacent and supplementary to this 47 degree angle, so,

(angle1)+(47) = 180

angle1 = 180-47

angle1 = 133 degrees

This example helps confirm that the remote interior angle theorem is correct.

6 0
2 years ago
Find the area of the triangle if the length is 22 and the height is 15
Ymorist [56]

Answer:

low 0.5 *the length of the base * the height

Step-by-step explanation:

0.5*22*15=165

5 0
2 years ago
Read 2 more answers
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