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maks197457 [2]
3 years ago
6

How does labeling the diagram help us show that we can use right triangle congruency (SAS in this case)?

Mathematics
1 answer:
dem82 [27]3 years ago
4 0

Answer:

Step-by-step explanation:

S A S congruence rule: Two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of other triangle.

If two triangles are congruent by SAS, and the angle is 90, then by CPCT{corresponding part of congruent triangle)  the hypotenuse of the two triangles will be congruent.

Now, as hypotenuse  and  one leg are congruent in both triangles, we can apply RHS congruent

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The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e
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Answer:

The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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So \alpha = 0.2, z is the value of Z that has a pvalue of 1 - \frac{0.2}{2} = 0.9, so Z = 1.28.

The lower limit of this interval is:

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The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.207

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