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Slav-nsk [51]
3 years ago
12

12 yo 5 yd what is the length of the hypotenuse

Mathematics
1 answer:
Allushta [10]3 years ago
7 0

I'm sure that the hypotenuse is 13 yards

Here's the formula used:

Length of Hypotenuse² = Length of side 1² + Length of side 2²

So here's how to solve this question:

12 squared + 5 squared = hypotenuse

(Then square the values)

144 + 25 = 169

Divide 169 by the square root to get the length of the hypotenuse: 13

Hope this helps!

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Answer: 0.332 < p < 0.490

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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\hat{p} = sample proportion

z* = critical z-value.

As per given , we have

n= 258

Sample proportion of college students who own a car = \hat{p}=\dfrac{106}{258}\approx0.411

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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