A box contains 12 $1 bills, 8 $10 bills, and 5 $20 bills. A person is allowed to draw one bill and keep it. Let the random variable X be the value of the bill drawn. Find the probability distribution of X and draw its graph.

What will be an ideal response?





Mathematics

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Simplify.

A. 4
B. 8
C. 1024
D. 3

Mathematics

Solve the problem.A diagonal crosswalk at an intersection of First Street and Grand Avenue is the hypotenuse of a triangle in which crosswalks across each street are the legs. First Street is 27 feet wide and Grand Avenue is 46 feet wide. How much shorter is the distance traveled by pedestrians using the diagonal crosswalk rather than using both crosswalks that form the legs of the triangle.

A. 19.7 feet B. 53.3 feet C. 7.3 feet D. 19 feet

Mathematics

Translate the problem to a system of equations, then solve using Cramer's Rule.The perimeter of a rectangle is 24 meters. If the width is doubled and the length is tripled, the perimeter is 60 meters. Determine the original width and length.

A. width = 10 m, length = 20 m B. width = 8 m, length = 12 m C. width = 6 m, length = 6 m D. width = 12 m, length = 12 m

Mathematics

Solve for x. Assume that a and b represent positive real numbers.x2 - a2 - 81 = 0

A. {, - }
B. {a2 + 81, a2 - 81}
C. {, - }
D. {, - }

Mathematics