Write the indicated event in set notation.The event that Helen gets a prize in a competition in which two people are selected from four finalists to receive the first and second prizes. The prize winners will be selected by drawing names from a hat. The names of the four finalists are Jim, George, Helen, and Maggie. [The possible outcomes can be represented as follows.JGJHJMGJGHGMHJHGHMMJMGMHHere, for example, JG represents the outcome that Jim receives the first prize and George receives the second prize. ]

A.
B.
C.
D.


Answer: D

Mathematics

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Find the particular solution to the given differential equation that satisfies the given conditions.9D2y - 2 Dy = 0; y = 0 when x = 0, and y= 3 when x =  

A. y =  - e-2x/9 
B. y = -  + e-2x/9 
C. y = -  + e
2x/9
 
D. y =  - e2x/9 

Mathematics

The following question refers to a country with five states. There are 240 seats in the legislature, and the populations of the states are given in the table below. Under Jefferson's method, the apportionments to each state are

A. State A: 11; State B: 19; State C: 109; State D: 97; State E: 4. B. State A: 10; State B: 19; State C: 110; State D: 97; State E: 4. C. State A: 10; State B: 18; State C: 110; State D: 98; State E: 4. D. State A: 10; State B: 19; State C: 111; State D: 97; State E: 3. E. none of these

Mathematics

Find the pair of numbers whose product and sum are given.Product: -32 Sum: -4

A. 32 and -1 B. -32 and 1 C. 8 and -4 D. -8 and 4

Mathematics

Solve.1 ? 2t - 5 ? 5

A. [-5, -3] B. [3, 5] C. (-5, -3) D. (3, 5)

Mathematics