Solve the problem.A coin is tossed eight times and the sequence of heads and tails is observed.(a) How many different outcomes are possible?(b) How many different outcomes have exactly two tails?(c) How many different outcomes have at least two tails?
What will be an ideal response?
| (a) | 28 = 256 |
(c) 256 - 9 = 247
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Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges.
+ 
+ 
+ ... + 
+ ...
A. 
; 3
B. 
; 3
C. 
; 6
D. 
; 6
Solve the problem.An office manager is buying used filing cabinets. Each small file cabinet costs $6, takes up 5 square feet of floor space, and holds 8 cubic feet of files. Each large file cabinet costs $9, takes up 10 square feet of floor space, and holds 13 cubic feet of files. The total cost cannot exceed $84, and the office has no more than 80 square feet of floor space available for the cabinets. How many of each file cabinet should the manager buy to maximize storage capacity? What is the maximum storage capacity?
A. 0 small file cabinets and 12 large file cabinets; 156 cubic feet B. 4 small file cabinets and 8 large file cabinets; 168 cubic feet C. 12 small file cabinets and 0 large file cabinets; 96 cubic feet D. 8 small file cabinets and 4 large file cabinets; 116 cubic feet
Solve the problem.Let A = 
and B = 
. Find A - B.
A. 
B. 
C. 
D. 
Answer true or false.A system of two linear equations in two variables can have exactly two solutions.
A. False B. True