Use Chebyshev's theorem to solve the problem.In a certain distribution of numbers, the mean is 50 and the standard deviation is 6. What can you say about the percentage of numbers that lie between 35 and 65?

A. at least 84%
B. at least 16%
C. at least 86%
D. at least 60%


Answer: A

Mathematics

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Solve the problem.Determine the period and frequency of oscillation when a pendulum of length 9 feet is released after being displaced 2 radians. Round constants to 8 decimal places, if necessary.

A. Period = 2? sec, frequency =  cycles per sec
B. Period = 2? sec, frequency =  cycles per sec
C. Period = 9? sec, frequency =  cycles per sec
D. Period =  sec, frequency =  cycles per sec

Mathematics

Solve the problem.If three cards are successively dealt from a 52-card deck without replacement, in how many ways could they be a face card, then a spade, and then a heart?

A. 1862 B. 1950 C. 936 D. 1248

Mathematics

Solve the problem.Find the perimeter of the polygon with the following vertices. Round to the nearest hundredth. A(1, 1), B(2, 5), C(5, 4), D(4, 2), E(3, 2)

A. 10.52 B. 12.76 C. 11.52 D. 14.64

Mathematics

Use the roster method to write the given set of numbers. Interpret "between a and b to include both a and b."The negative integers between -2 and 7

A. {-2, -1, 0, ..., 7} B. {-2, -1} C. {-2, -1, 0} D. {-1}

Mathematics