In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet. Find the measure of minor arc AB to the nearest degree
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2 answers:
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ANSWER:
The surface area of the star is 3.2700 x square kilometres.
EXPLANATIONS:
Diameter of the star = 1.8083 x Km.
Surface area of the star = 4
Where n is the radius of the star.
So that;
n =
= 0.90415 x
n = 0.90415 x Km
Thus,
Surface area = 4 x
= 326994889
Surface area = 3.2700 x
Therefore, the surface area of the star is 3.2700 x square kilometres.
We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:
The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:
Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:
Where (from tables):
Finally, the interval at 98% confidence level is: