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Brrunno [24]
3 years ago
12

The measure of the supplementary of an angle is 40 more than 2 times the measure of the complement of an angle. Find he measure

of the angle.
Mathematics
1 answer:
Gre4nikov [31]3 years ago
3 0
Two angles are complementary when they add up to 90 degrees<span> 
</span>Two angles are supplementary when they add up to 180 degrees 

angle = x 
supplementary angle = (180-x)  
complementary angle  = (90-x)

180 - x - 40 = 2(90-x)
140 - x = 180 - 2x
-x + 2x = 180 - 140
x = 40°
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Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

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Solution to the problem

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\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

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Now we have everything in order to replace into formula (1):

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So on this case the 98% confidence interval would be given by (3.767;4.233)

   

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