The sample space is the set of cards from a standard deck of cards that are less than 8. What is the probability that an ace will be drawn? 

A.
B. 1
C.
D.
E. 0


Answer: E

Mathematics

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Find the missing quantities. If there is no operating loss or absolute loss, write "none."

A. Operating exp = $40.24 Operating loss = $29.83 Absolute loss = $10.41 B. Operating exp = $10.41 Operating loss = $9 Absolute loss = $1.41 C. Operating exp = $9 Operating loss = $10.41 Absolute loss = $1.41 D. Operating exp = $9 Operating loss = $1.41 Absolute loss = $10.41

Mathematics

Find the sum of the sequence.

A. 272 B. 400 C. 384 D. 53

Mathematics

Evaluate the given binomial coefficient.

A.
B.
C. 3570
D. 296,310

Mathematics

Set up the linear programming problem.An office manager is buying used filing cabinets. Small file cabinets cost $6 each and large file cabinets cost $9 each, and the manager cannot spend more than $93 on file cabinets. A small cabinet takes up 5 square feet of floor space and a large cabinet takes up 8 square feet, and the office has no more than 80 square feet of floor space available for file cabinets. The manager must buy at least 5 file cabinets in order to get free delivery. Let x = the number of small file cabinets bought and y = the number of large file cabinets bought. Write a system of inequalities that describes these constraints.

A. 6x + 9y ? 93 5x + 8y ? 80 y ? 5 B. 6x + 9y ? 93 5x + 8y ? 80 x + y ? 5 C. 6x + 9y ? 93 5x + 8y ? 80 x + y ? 5 D. 6x + 9y ? 93 8x + 5y ? 80 x ? 5

Mathematics