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Daniel [21]
4 years ago
14

The diagonals of a square measure 14 cm. Which is the length of a side of the square? f.142√ cm g.72√ cm h.143√ cm j.73√ cm

Mathematics
1 answer:
Lera25 [3.4K]4 years ago
8 0
Since it is a square, the diagonals are congruent. If a square is split like this, it becomes two congruent right triangles. The relationship between the sides and hypotenuse is a 1:\sqrt{2} ratio. So if the diagonal of a square is 14 cm, then the side length would be 14/\sqrt{2}, which is approximately 9.899. I don't understand what the answer choices are, but you should be able to square root the numbers to determine the answer. 
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Galina-37 [17]

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Step-by-step explanation:

We know that the confidence interval for population proportion is given by :-

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

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z* = critical z-value.

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Critical z-value for 99% confidence interval is 2.576. (By z-table)

Therefore , the  99% confidence interval for the true proportion(p) of all college students who own a car will be :0.411\pm (2.576)\sqrt{\dfrac{0.411(1-0.411)}{258}}\\\\=0.411\pm (2.576)\sqrt{0.00093829}\\\\= 0.411\pm (2.576)(0.0306315197142)\\\\=0.411\pm 0.0789=(0.411-0.0789,\ 0.411+0.0789)\\\\=(0.3321,\ 0.4899)\approx(0.332,\ 0.490)

Hence, a 99% confidence interval for the true proportion of all college students who own a car : 0.332 < p < 0.490

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Anna11 [10]

Answer:

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