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____ [38]
3 years ago
6

50 people are selected randomly from a certain population and it is found that 12 people in the sample are over 6 feet tall. wha

t is the point estimate of the proportion of people in the population who are over 6 feet tall?
Mathematics
1 answer:
Taya2010 [7]3 years ago
8 0

Answer:

The point estimate of the proportion of people over 6ft to total people is 6:25

Step-by-step explanation:

To find this, simply start with the number of people over 6 ft and total people as a proportion.

12:50

Then simplify by dividing by 2

6:25

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GaryK [48]
Answer: cos(Θ) = (√15) / 4

Explanation:

The question states:

1) sin(Θ) = 1/4

2) 0 < Θ < π / 2

3) find cos(Θ)

This is how you solve it.

1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

(cos \alpha )^2 + (sin \alpha )^2 =1

2) From which you can find:

(cos \alpha )^2 = 1 - (sin \alpha )^2

3) Replace sin(α) with 1/4

=> (cos \alpha )^2 = 1 - (1/4)^2 = 1 - 1/16 = 15/16

=> cos \alpha =+/- \sqrt{15/16} = +/- (\sqrt{15} )/4

4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:

cos(Θ) = \sqrt{15} /4.

And that is the answer.
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88) 4 times a number decreased by 8 equals 40<br> A) x=80 B) x = 40 C) x=8<br> D) x = 12
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D=12
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