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ella [17]
2 years ago
10

Type SSS, SAS, ASA, SAA, or HL to describe these triangles.

Mathematics
1 answer:
Bingel [31]2 years ago
5 0

Answer:

SAS

Step-by-step explanation:

There is one common side (S)

both the triangles have 90° common (A)

Opposite sides are equal which is given (S)

They both are right angled triangles

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Answer:

0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286

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Step-by-step explanation:

Information given:

X= 36 represent the families owned at least one DVD player

n= 85 represent the total number of families

\hat p=\frac{36}{85}= 0.424 represent the estimated proportion of families owned at least one DVD player

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The confidence interval for the mean is given by the following formula:  

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

If we replace the values obtained we got:

0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286

0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562

The 99% confidence interval would be given by (0.286;0.562)

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