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erastovalidia [21]
3 years ago
9

From a phone survey, a researcher determined that the true estimate for the proportion of voter who will elect the mayor is like

ly to be in the interval (0.39, 0.47)
What is the survey's margin of error?

Enter your answer in the box.

+ [ ]



I need help on how to solve the problem.
Mathematics
1 answer:
laiz [17]3 years ago
8 0
The margin of error is half the width of the confidence interval:
M.o.E.=\frac{0.47-0.39}{2}=0.04
The margin of error is 0.04 or 4%.
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Step-by-step explanation:

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Step-by-step explanation:

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Sin∅=√3-1/2 find approximate value of sec∅(sec∅+tan∅)/1+tan²∅​
Neko [114]

Answer:

The approximate value of f(\theta) = \frac{\sec \theta \cdot (\sec \theta+\tan \theta)}{1+\tan^{2}\theta} is 1.366.

Step-by-step explanation:

Let f(\theta) = \frac{\sec \theta \cdot (\sec \theta+\tan \theta)}{1+\tan^{2}\theta}, we proceed to simplify the formula until a form based exclusively in sines and cosines is found. From Trigonometry, we shall use the following identities:

\sec \theta = \frac{1}{\cos \theta} (1)

\tan\theta = \frac{\sin\theta}{\cos \theta} (2)

\cos^{2}+\sin^{2} = 1 (3)

Then, we simplify the given formula:

f(\theta) = \frac{\left(\frac{1}{\cos \theta} \right)\cdot \left(\frac{1}{\cos \theta}+\frac{\sin \theta}{\cos \theta}\right) }{1+\frac{\sin^{2}\theta}{\cos^{2}\theta} }

f(\theta) = \frac{\left(\frac{1}{\cos^{2} \theta} \right)\cdot (1+\sin \theta)}{\frac{\sin^{2}\theta + \cos^2{\theta}}{\cos^{2}\theta} }

f(\theta) = \frac{\left(\frac{1}{\cos^{2}\theta}\right)\cdot (1+\sin \theta)}{\frac{1}{\cos^{2}\theta} }

f(\theta) = 1+\sin \theta

If we know that \sin \theta =\frac{\sqrt{3}-1}{2}, then the approximate value of the given function is:

f(\theta) = 1 +\frac{\sqrt{3}-1}{2}

f(\theta) = \frac{\sqrt{3}+1}{2}

f(\theta) \approx 1.366

5 0
3 years ago
Please help, it’s urgent
WINSTONCH [101]

Answer:

Hey buddy, here is your answer. Hope it helps you.

Step-by-step explanation:

As angle CAB is a linear pair and is 109 degrees. We need to simply subtract it by 180. So 180-109=71. So angle CAE is 71 degrees.

4 0
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