Answer:
170°
Step-by-step explanation:
To convert from radians to degrees
degree measure = radian measure × 
, thus
degree = 
×
Cancel π on numerator/denominator and 18/ 180 by 18
degree measure = = 17 × 10 = 170°
Answer:
Step-by-step explanation:
The manager visits a park and interviews people who are waiting to use the tennis courts.
The answer is x=7 cuz 17x+1=120
Let's call our estimate x. It will be the average of n IQ scores. Our average won't usually exactly equal the mean 97. But if we repeated averages over different sets of tests, the mean of our estimate the average would be the same as the mean of a single test,
μ = 97
Variances add, so the standard deviations add in quadrature, like the Pythagorean Theorem in n dimensions. This means the standard deviation of the average x is
σ = 17/√n
We want to be 95% certain
97 - 5 ≤ x ≤ 97 + 5
By the 68-95-99.7 rule, 95% certain means within two standard deviations. That means we're 95% sure that
μ - 2σ ≤ x ≤ μ + 2σ
Comparing to what we want, that's means we have to solve
2σ = 5
2 (17/√n) = 5
√n = 2 (17/5)
n = (34/5)² = 46.24
We better round up.
Answer: We need a sample size of 47 to be 95% certain of being within 5 points of the mean
Make the same denominator then Add which would be 4/12 + 1/12 which is 5/12
