Provide an appropriate response.A sample space S is a set of 10 outcomes. What is the least number of outcomes that an event defined for S can have?

A. 10
B. 0
C. 1
D. 3,628,800


Answer: B

Mathematics

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Calculate the arc length of the indicated portion of the curve r(t).Following the curve  r(t) = 12ti  + (5 cos t)j + (5 sin t)k in the direction of increasing of arc length, find the point that lies 65? units away from the point where 

A. (60?, -5, 0) B. (60?, 0, -5) C. (60, -5, 0) D. (60?, 0, 0)

Mathematics

Let p represent the statement, "Jim plays football", and let q represent the statement "Michael plays basketball". Convert the compound statement into symbols.Neither Jim plays football nor Michael plays basketball.

A. ~(p ? q) B. ~p ? ~q C. ~p ? q D. ~(p ? q)

Mathematics

New telephone lines must be installed to connect 8 cities (A, B, C, D, E, F, G, and H). Due to government regulations, the only possible connections that are allowed are shown by the edges on the network below. The numbers on the edges indicate the cost (in millions of dollars) of each possible connection. The telephone company wishes to connect the cities in the cheapest possible way. Using Kruskal's algorithm, which edge is chosen second to last?

A. CD or EF B. BC C. AF D. BH, EG or DE E. none of these

Mathematics

Simplify the expression.49 + (-50) - 8 - (-11) + (-30)

A. 10 B. -28 C. 32 D. -50

Mathematics