Find the probability of the following card hands from a 52-card deck. In poker, aces are either high or low. A bridge hand is made up of 13 cards.In bridge, 4 aces

A. 0.00118
B. 0.01056
C. 0.00264
D. 0.00059


Answer: C

Mathematics

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Solve the given differential equation.y(4) - 21y'' - 100y = 0

A. y = C1e2x + C2e-2x + C3 cos 5x + C4 sin 5x B. y = C1e5x + C2e-5x + (C3 + C4x)e2x  C. y = C1e5x + C2e-5x + C3 cos 2x + C4 sin 2x D. y = (C1 + C2x)e-5x + C3 cos 2x + C4 sin 2x

Mathematics

Perform the indicated operation. Simplify the result if possible.6 yd 2 ft + 3 yd 1 ft

A. 9 yd B. 10 yd C. 3 yd 1 ft D. 9 yd 2 ft

Mathematics

Graph the solution set of the system of inequalities.

A.

B.

C.

D.

Mathematics

Solve the problem.A steel company produces two types of machine dies, part A and part B and is bound by the following constraints:? Part A requires 1 hour of casting time and 10 hours of firing time. ? Part B requires 4 hours of casting time and 3 hours of firing time.? The maximum number of hours per week available for casting and firing are 100 and 70, respectively.? The cost to the company is $0.75 per part A and $3.00 per part B. Total weekly costs cannot exceed $45.00.Let x = the number of part A produced in a week and  number of part B produced in a week. Write a system of three inequalities that describes these constraints.

A.

B.

C.

D.

Mathematics