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3 years ago

A triangle with 7,?, and form a right triangle.

Mathematics

1 answer:

Vlad1618 [11]3 years ago

6 0

9514 1404 393

Answer:

C 24

D 25

Step-by-step explanation:

Consider the choices offered:

5 and 7 will not form a triangle* with any of the other lengths

7 and 12 will not form a triangle with any of the other (longer) lengths

7 and 24 will form a triangle with the other possibilities, 25 and 29. (needs further consideration)

7 and 25 will not form a right triangle with 29, because a right triangle cannot have 3 odd-length sides.

<em>Further consideration</em>

7^2 +24^2 = 49 +576 = 625 = 25^2 . . . . checking Pythagorean theorem

The side measures 7, 24, 25 will form a right triangle.

_____

* A triangle can be formed from three segments only if the sum of the shortest two exceeds the length of the longest one.

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Step-by-step explanation:

Confidence interval for population proportion (p) is given by :-

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

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Significance level 98% confidence level : $\alpha=1-0.98=0.02$

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The 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters will be :-

$0.108\pm (2.33)\sqrt{\dfrac{0.108(1-0.108)}{500}}\\\\=0.108\pm2.33\times0.013880634\\\\=0.108\pm0.03234187722\\\\\approx0.108\pm0.032=(0.108-0.032,\ 0.108+0.032)=(0.076,\ 0.140)$

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