Solve.Suppose 5 cards are drawn from a deck of 52 cards. What is the probability of drawing 5 aces?
A. 
B. 
C. 
D. 
Answer: C
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Provide an appropriate response.The Chairperson of the Mathematics Department must decide on how many sections of Technical Math I to offer next semester. The college anticipates that there will be 270 students registering for the class, and the maximum number for each section is 30 students. Write an inequality that shows the minimum number of sections that should be offered and solve the inequality.
Fill in the blank(s) with the appropriate word(s).
Provide an appropriate response.The Cobb-Douglas production function for a company is given by P(k, l) = 70k3/4l1/4 where P is the monthly production value when k is the number of units of capital and l is the number of units of labor. Suppose that capital costs $450 per unit, labor costs $75 per unit, and the total cost of capital and labor is limited to $60,000. Use Lagrange multipliers to write the system of equations you would use to find the number of units of capital and labor that maximize production.
What will be an ideal response?
Find the slope of the line through the given pair of points.(-3.5, 12.4), (-0.5, -14.7)
A. - 
B. 
C. 
D. - 
Solve the problem.A rectangular piece of fabric is 
by 
A triangular area with a height of 
and a base of 
is cut from the fabric. How much area is left over?
A. 319 ft2 B. 235 ft2 C. 434 ft2 D. 217 ft2