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yKpoI14uk [10]
3 years ago
7

Find the measure of the indicated angle to the nearest degree.

Mathematics
1 answer:
eimsori [14]3 years ago
6 0

1. use sin

inverse of sin(44/57) = 50.5 ---> 51°

2. use tan

inverse of tan(6/8) = 36.8 ---> 37°

3. use cos

inverse of cos(20/31) = 49.8 ---> 50°

4. use sin

inverse of sin(37/58) = 39.6 ---> 40°

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A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained i
alex41 [277]

Answer:

sample size if he uses a previous estimate of 32​% is 523

sample size if he does not use any prior​ estimates is 601

Step-by-step explanation:

estimate E = 4 percentage = 0.04

confidence Cl = 95% = 0.95

previous estimate p = 32% = 0.32

q = 1 - 0.32 = 0.68

to find out

size of sample

solution

first we calculate z value for 95% confidence E = 0.04 is 1.96

from probability P(-1.96 < z < 1.96) = 0.95)

here z = 1.96

so in 1st part size of sample we know

E = z × \sqrt{pq/n}

put all value E, z p and q and we get n

n = (z/E)² ×p×q

n = (1.96/0.04)² ×0.32×0.68

n = 523

sample size if he uses a previous estimate of 32​% is 523

now in 2nd part we take p = 0.5

so n will be

n = (z/E)² ×p×q

n = (1.96/0.04)² ×0.5×0.5

n = 601

sample size if he does not use any prior​ estimates is 601

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