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ValentinkaMS [17]
3 years ago
9

How do I find the value of sec pi/12?

Mathematics
1 answer:
scoray [572]3 years ago
6 0
Sec x =  1/Cosx

Pi radians = 180 degress

Pi/12 = 180/12 = 15 degrees.

Sec15° = 1/Cos15°

Sec pi/12 = Sec 15° = 1/Cos 15°

Cos 15° = 0.9659  using a calculator.

Sec pi/12 = Sec 15° = 1/Cos 15° = 1/0.9659 = 1.0353

Sec Pi/12 = 1.0353
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a) 96% CI: 0.51\leq\pi\leq 0.63

b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.

Step-by-step explanation:

The proportion of the sample is

p=\frac{114}{200}=0.57

The standard deviation of the sample proportion is

\sigma=\sqrt{\frac{p(1-p)}{n} } =\sqrt{\frac{0.57(1-0.57)}{200} } =\sqrt{\frac{0.2451}{200} } =0.035

For a 96% CI, the z-value is z=1.751.

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b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.

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