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guajiro [1.7K]
4 years ago
10

M 2 = a°, m 3 = b°, m 4 = a b a + b a - b (see picture)

Mathematics
1 answer:
Ket [755]4 years ago
6 0

The answer is a+b. Since a triangle is equal to 180 degrees, and you know that angle 2 = a degrees and angle 3 = b degrees then you know that 180 degrees minus angle 2 and angle 3 = angle 1.


It is also known that angle 1 and angle 4 added together will be 180 degrees. Since before we already found out that angle 1 = 180 - angle2 + angle3, we know that angle4 = angle2+angle3

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Answer:

ME= 2.33*\sqrt{\frac{0.096*(1-0.096)}{250}}= 0.0434

Step-by-step explanation:

For this case we have a sample size of n = 250 units and in this sample they found that 24 units failed one or more of the tests.

We are interested in the proportion of units that fail to meet the company's specifications, and we can estimate this with:

\hat p = \frac{24}{250}= 0.096

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The confidence interval for a proportion is given by this formula  

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}  

For the 98% confidence interval the value of \alpha=1-0.98=0.02 and \alpha/2=0.01, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=2.33  

And the margin of error would be:

ME= 2.33*\sqrt{\frac{0.096*(1-0.096)}{250}}= 0.0434

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Length =20
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