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 fraction of numbers that lie between 32 and 68?
A. at most 
B. at most 
C. at least 
D. at least 
Answer: C
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Provide an appropriate response.For the function f(x) = 3x2 - 4x + 5, find f(a + 1).
A. 3a2 + 2a + 4 B. 3a2 + 4a + 6 C. 3a2 + 4a + 4 D. 3a2 + 2a + 6
Find the center and the radius of the circle.y2 + 20y + 100 = 8x - x2 - 7
A. (3, 10); r = 5 B. (4, 12); r = 6 C. (4, 11); r = 4 D. (4, -10); r = 3
Solve the problem.An arch for a bridge over a highway is in the form of a semiellipse. The top of the arch is 35 feet above ground (the major axis). What should the span of the bridge be (the length of its minor axis) if the height 30 feet from the center is to be 13 feet above ground?
A. 50.48 ft B. 32.31 ft C. 161.54 ft D. 64.62 ft
Factor by any method.12x2 + 9xy + 20xy + 15y2
A. (12x + 5y)(x + 3y) B. (3x + 5)(4x + 3) C. (3x - 5y)(4x + 3y) D. (3x + 5y)(4x + 3y)