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1 answer:
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Answer:
A = 52°, a = 149.2, c = 174.3
Step-by-step explanation:
Technology is useful for this. Many graphing calculators can solve triangles for you. The attachment shows a phone app that does this, too.
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The Law of Sines can give you the value of c, so you can choose the correct answer from those offered.
c = sin(C)·b/sin(B) = sin(113°)·49/sin(15°) ≈ 174.271 ≈ 174.3 . . . . . third choice
The mean and standard deviation for the set of data will be 16 and 5.87. Then the correct option is A.
<h3>What is a standard deviation?</h3>It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.
The set of data is given below.
16, 22, 8, 5, 20, 18, 14, 17, 24
The mean of the data set will be
μ = (16 + 22 + 8 + 5 + 20 + 18 + 14 + 17 + 24) / 9
μ = 144 / 9
μ = 16
Then the standard deviation of the data set will be
Simplify the expression further, then we have
σ = √34.44
σ = 5.87
The mean and standard deviation for the set of data will be 16 and 5.87.
Then the correct option is A.
More about the standard deviation link is given below.
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