The post office recorded the weights of packages sent on a particular day and used the results to construct a histogram. Use the histogram to solve the problem. 
0-910-1920-2930-39Weight of Package (pounds)How many packages weighed between 10 and 29 pounds?
A. 7 packages
B. 11 packages
C. 13 packages
D. 6 packages
Answer: A
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Find the center of mass of the thin rod with the given density function.Find the center of mass of a thin rod that lies along the semicircle y = 
if the density of the rod is 
A. 
= 0, 
= 
?
B. 
= 0, 
= 
?
C. 
= 
?, 
= 
?
D. 
= 
?, 
= 
?
Find the magnitude of the vector.
?
What will be an ideal response?
The primal problem and the final tableau in the solution of the primal problem are given. Use the final tableau to solve the dual problem.Primal problem:Maximize 3x1 + 4x2 + 2x3subject to x1 + x3 ? 16 2x2 + x3 ? 20 3x1 + 6x2 ? 36and x1 ? 0, x2 ? 0, x3 ? 0Final tableau in solution to primal problem: x1 x2 x3 x4 x5 x6 M 
A. Minimum = 576 when y1 = 4, y2 = 4, and y3 = 12
B. Minimum = 52 when y1 = 
, y2 = 
, and y3 = 
C. Minimum = 
when y1 = 
, y2 = 
, and y3 = 
D. Minimum = 52 when y1 = 4, y2 = 4, and y3 = 12
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number.2
÷ 
A. 
B. - 1
C. - 
D. 1