Solve the problem.A developer wants to build 11 houses each of a different design. In how many ways can she decide which houses will be on the north side of the street and which on the south side if 3 of the 11 houses are to be on the north side and the remainder on the south side?

A. 1331
B. 165
C. 990
D. 6


Answer: B

Mathematics

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Solve the problem.A dual-beam search light is positioned to shine on a prison wall. The light is 4 feet from the wall and rotates clockwise. The light shines on point P on the wall when first turned on   After t seconds the distance (in feet) from the beam on the wall to the point P is given by the function   Find the value for b if the light beam is to sweep the entire wall in 40 seconds. 

A.
B.
C.
D.

Mathematics

Solve each system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.

A. x = 9, y = 9 B. x = 1, y = -3 C. x = 9, y = -3 D. Inconsistent

Mathematics

The work W (in joules) done when lifting an object varies jointly with the mass m (in kilograms) of the object and the height h (in meters) that the object is lifted. The work done when a 120-kilogram object is lifted 1.8 meters is 2116.8 joules. How much work is done when lifting a 200-kilogram object 1.5 meters? ?

A. 2960 J B. 2920 J C. 2940 J D. 2950 J E. 2930 J

Mathematics

Let x be a continuous random variable over [a, b] with probability density function f. Then the median of the x-values is that number m for which .Find the median.f(x) = 3e-3x, [0, ?)

A. ln 3
B.
C. ln 2
D. 1

Mathematics