A pair of dice is cast, and the number that appears uppermost on each die is observed. Find the probability of the event that one die shows a 6, and the other is a number less than 5. Give the answer as a fraction.

What will be an ideal response?


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Mathematics

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Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.F = (-y - ey cos x)i + (y - ey sin x)j; C is the right lobe of the lemniscate r2 = cos 2? that lies in the first quadrant.

A.
B.
C. 1
D. 0

Mathematics

Solve.Determine how many Hamilton circuits a complete graph with 28 vertices has.

A. 28! B. 28 C. 282 D. 27!

Mathematics

Use the basic identities to simplify the expression.

A. cot ? + 1
B.
C. cot ? - 1
D. cot ? - 4

Mathematics

Write the decimal in numbers.Eighty-two hundredths

A. 82 B. 0.82 C. 80.2 D. 0.082

Mathematics