A deck of cards contains 52 cards. These cards consist of four suits (hearts, spades, clubs, and diamonds) of each of the following: 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace. If a card is chosen from a deck of cards, find the probability of each event.Selecting a king
A.
B.
C.
D.
Answer: D
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Provide an appropriate response.In 2000, the population of Littletown was 17 thousand. Use the given doubling time to predict the population in 2060. Assume a doubling time of 32 years.
A. 3.7 thousand B. 32,640 thousand C. 62.4 thousand D. 32.6 thousand
Indicate whether the graph represents a one-to-one function.
A. Yes B. No
Express the indicated roots of unity in standard form a + bi.Ninth roots of unity
A. 1 + 0i
cos + i sin
? 0.77 + 0.64 i
cos + i sin
? 0.17 + 0.98 i
cos + i sin
= - 0.50 + i
-1 + 0i
cos + i sin
? - 0.94 - 0.34 i
cos + i sin
= - 0.50 - i
cos + i sin
? 0.17 - 0.98 i
cos + i sin
? 0.77 - 0.64 i
B. 1 + 0i
cos + i sin
? 0.77 + 0.64 i
cos + i sin
? 0.17 + 0.98 i
cos + i sin
= - 0.50 + i
cos + i sin
? - 0.94 + 0.34 i
cos + i sin
? - 0.94 - 0.34 i
cos + i sin
= - 0.50 - i
cos + i sin
? 0.17 - 0.98 i
cos + i sin
? 0.77 - 0.64 i
C. 1 + 0i
cos + i sin
? 0.77 + 0.64 i
cos + i sin
? 0.17 + 0.98 i
cos + i sin
= - 0.50 + i
cos + i sin
? - 0.94 + 0.34 i
cos + i sin
? - 0.94 - 0.34 i
cos + i sin
= - 0.50 - i
cos + i sin
? 0.17 - 0.98 i
1 - i
D. 1 + 0i
cos + i sin
? 0.94 + 0.34 i
cos + i sin
? 0.77 + 0.64 i
cos + i sin
= 0.50 + i
cos + i sin
? 0.17 + 0.98 i
cos + i sin
? - 0.17 + 0.98 i
cos + i sin
= - 0.50 + i
cos + i sin
? - 0.77 + 0.64 i
cos + i sin
? - 0.94 + 0.34 i
Find an equation for the graph.
A. y = 3 cos x
B. y = 2 cos x
C. y = 2 cos 3?x
D. y = 3 cos 2?x