Solve the problem.The fluctuation in power (in W) in a microlamp was measured five times, and the measured values were 60.10, 59.93, 60.16, 60.03, and 59.82. Find the standard deviation and variance for the data. Round the results to the nearest thousandth.

A. s = 0.271, v = 0.073
B. s = 0.121, v = 0.015
C. s = 0.015, v = 0.001
D. s = 0.224, v = 0.050


Answer: B

Mathematics

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Estimate the magnitude of the error involved in using the sum of the first four terms to approximate the sum of the entire series.

A.  < 4.37 × 10-2
B.  < 3.28 × 10-1
C.  < 1.02 × 10-1
D.  < 6.55 × 10-2

Mathematics

Find at least three nonzero terms [including a0, at least two cosine terms (if they are not all zero) and at least two sine terms (if they are not all zero)] of the Fourier series for the given function.f(x) = x + ? -? ? x < ?

A. f(x) = ? + sin x -  sin 2x +  sin 3x - . . .
B. f(x) = ? + 2 sin x - sin 2x + . . .
C. f(x) = 2 sin x - sin 2x +  sin 3x - . . .
D. f(x) = ? + sin x -  sin 2x + . . .

Mathematics

Solve the problem.The profit (in millions of dollars) for Allied Manufacturing can be approximated by  where x is the year 1989 ? x ? 2009. Approximate the average rate of change over a 3-year period. Round your answer to three decimal places when appropriate.

A. -0.675 million dollars B. -6.285 million dollars C. 0.135 million dollars D. -0.885 million dollars

Mathematics

Solve the polynomial equation symbolically.-6x2 + 12x - 6 = 0

A. 1, 1 B. 1, - 1 C. - 1, 1 D. - 1, - 1

Mathematics