A dart is thrown randomly and sticks on the circular dart board shown. Assume that all sectors are the same size and that the dart does not land on a border between shaded areas.Find the probability that the dart lands on a grey area.

A.
B.
C.
D.


Answer: A

Mathematics

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Ms. Losch has a piece of rope  long that she cuts into pieces for an experiment in her first-grade class. Each piece of rope is to be  long. How many  long pieces of rope can she cut from the original piece of rope.

A. 24 pieces of rope B. 29 pieces of rope C. 25 pieces of rope D. 5 pieces of rope

Mathematics

Solve the problem.Let D be the region bounded below by the xy-plane, above by the sphere  and on the sides by the cylinder . Set up the triple integral in cylindrical coordinates that gives the volume of D using the order of integration .

A.
B.
C.
D.

Mathematics

Determine the correct exponential function of the form f(x) = bx whose graph is given.

A.  f(x) = x
B.  f(x) = -12x
C.  f(x) = x
D.  f(x) = -3x

Mathematics

P( X > 0.5)

The random variable X has the probability density function

Compute the quantity

Mathematics