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lilavasa [31]
3 years ago
14

Please help please please

Mathematics
2 answers:
Darya [45]3 years ago
3 0

49.71666... round to where you need to. I might be wrong. The formula should  be ArcLength = angle / 360 * 2 pi radius so 150/360*(2*pi*19)

arlik [135]3 years ago
3 0

Answer: 49.72 feet (approximate to 2 decimal places; using pi = 3.14)

=============================================================

Explanation:

The distance around the entire circle (also known as the circumference) is found by the formula

C = 2*pi*r

with C being the circumference, pi = 3.14 approximately, and r is the radius. The circumference of this circle is approximately C = 119.32 because C = 2*pi*r = 2*3.14*19 = 119.32

---------

The arc length is the shaded darker region of the circle's edge marked by the 150 degree central angle. We only want a portion of the entire distance around the circle. So we take a fraction of the circumference to get (150/360)*C = (150/360)*119.32 = 49.71667 = 49.72 which is approximate to two decimal places.

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Complete question is;

A researcher wished to compare the average amount of time spent in extracurricular activities by high school students in a suburban school district with that in a school district of a large city. The researcher obtained a simple random sample of 60 high school students in a large suburban school district and found the mean time spent in extracurricular activities per week to be six hours with a standard deviation of three hours. The researcher also obtained an independent simple random sample of 40 high school students in a large city school district and found the mean time spent in extracurricular activities per week to be four hours with a standard deviation of two hours. Let x¯1 and x¯2 represent the mean amount of time spent in extracurricular activities per week by the populations of all high school students in the suburban and city school districts, respectively. Assume two-sample t procedures are safe to use?

what is the 95% confidence interval a researcher wishes to compare the average amount of time spent in extracurricular?

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CI = (0.755, 3.245)

Step-by-step explanation:

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CI = [(2 - 1.245), (2 + 1.245)]

CI = (0.755, 3.245)

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3 years ago
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