Solve the problem.A local television station sends out questionnaires to determine if viewers would rather see a documentary, an interview show, or reruns of a game show. There were 450 responses with the following results:135 were interested in an interview show and a documentary, but not reruns.18 were interested in an interview show and reruns but not a documentary.63 were interested in reruns but not an interview show.108 were interested in an interview show but not a documentary.45 were interested in a documentary and reruns.27 were interested in an interview show and reruns.36 were interested in none of the three.How many are interested in exactly one kind of show?

A. 226
B. 216
C. 206
D. 196


Answer: B

Mathematics

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Solve.A Ferris wheel has a radius r of 25.7 feet. The height of the tower t is 36.6 feet. The distance d from the origin to the base is 25.9 feet. Find the standard form equation of the circle represented by the Ferris wheel. 

A. (x - 25.9)2 + (y - 36.6)2 = 25.7 B. (x + 25.9)2 + (y + 36.6)2 = 660.49 C. (x - 25.9)2 + (y - 36.6)2 = 660.49 D. (x + 25.9)2 + (y + 36.6)2 = 25.7

Mathematics

Find the Social Security tax and Medicare tax on the annual gross income of a self-employed individual. For a self-employed person, the FICA rate is 12.4% and the Medicare rate is 2.9%. Round to the nearest cent if needed.John Rosar, framer, earned $34,503.87

A. $4,278.48, $1,000.61 B. $2,139.24, $1,000.61 C. $2,139.24, $500.31 D. $4,178.48, $900.61

Mathematics

Factor the expression completely, if possible.49x2 - 36y2

A. (7x - 6y)2 B. (7x + 6)(7x - 6) C. (7x + 6y)(7x - 6y) D. (7x + 6y)2

Mathematics

Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.x + y + z=92x - 3y + 4z=7x - 4y + 3z=-2

A. {(-  +  - , z)}
B. {( +  - , z)}
C. {( +  + , z)}
D. {(-  +  + , z)}

Mathematics