Solve the problem. Round to the nearest hundredth, if necessary.The average middle-distance runner at a local high school runs the mile in 5.8 minutes, with a standard deviation of 0.2 minute. Find the percentage of a runners that will run the mile in less than 5.5 minutes?
A. 93.32%
B. 6.68%
C. 30.85%
D. 69.15%
Answer: B
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Write an equivalent double integral with the order of integration reversed.
A.
B.
C.
D.
Solve the problem.The side of an equilateral triangle is 3 inches shorter than the side of a square. The perimeter of the square is 28 inches more than the perimeter of the triangle. Find the length of a side of the square.
A. 20 inches B. 18 inches C. 16 inches D. 19 inches
Express the integrand as a sum of partial fractions and evaluate the integral. dx
A. 6 ln +
ln
+
tan-1
+ C
B. 6 ln -
ln
- tan-1 x + C
C. 6 ln +
ln
+ sin-1
+ C
D. ln +
ln
+ tan-1
+ C
Solve.In the study of alternating electric current, capacitive voltage is given by , where f is the number of cycles per second, i is the maximum current, and t is the time in seconds. Solve the equation for t.
A. t = Arccos (-
)
B. t = 2?f cos (- )
C. t = 2?f Arccos (- )
D. t = Arccos (
)