Write the decimal as a fraction or mixed number in lowest terms.643.9951
A. 64
B. 643
C. 6439
D. 64399
Answer: B
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Use Taylor's formula to find the requested approximation of 
near the origin.Quadratic approximation to 
A. 10x + y - 50x2 - 5xy - 
y2
B. 1 + 10x + y - 50x2 - 10xy - 
y2
C. 10x + y - 50x2 - 10xy - 
y2
D. 1 + 10x + y - 50x2 - 5xy - 
y2
Find the sum Sn of the first n terms of the geometric sequence. -8, -16, -32, -64, -128, . . . ; n = 9
A. -4108 B. -4051 C. -4088 D. -4086
Determine the probability distribution.When two balanced dice are rolled, 36 equally likely outcomes are possible as shown below. (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6) (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6) (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6) (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6) (5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6) (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6) Let x denote the smaller number of the two numbers. If both die come up the same number, then x equals that value. Determine the probability distribution of x.
A. 
B. 
C. 
D. 
Solve the problem.The marriage rate in a certain country in 1990 was 0.96%, and there were about 420,000 marriages that year. Use the model M(t) = M0(1 + r)t, with a constant marriage rate and t = 0 corresponding to 1990 to estimate the number of marriages in 1999.
A. 457,713 B. 290,864 C. 0.00290864 D. 958,394