Provide an appropriate response.Pick a set S of four distinct points in ?3 such that aff S is the plane 2x1 + x2 - 3x3 = 14.
A. S=
B. S=
C. S=
D. S=
Answer: D
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Find the probability.In a certain college, 33% of the physics majors are ethnic minorities. A random sample of 10 physics majors is chosen. Find the probability that exactly 4 are not ethnic minorities. Round to the nearest ten-thousandth.
A. 0.0467 B. 0.2253 C. 0.2564 D. 0.0547
Rationalize the denominator. Assume that all radicands represent positive real numbers.
A. 
(
+ 1)
B. 
(
+ 1)
C. 
(
- 1)
D. 
(
+ 1)
Solve the problem.The temperature of water in a certain lake on a day in October can be determined by using the model 
where x is the number of feet down from the surface of the lake and y is the Celsius temperature of the water at that depth. Based on this model, how deep in the lake is the water 13 degrees? (Round to the nearest foot.)
A. 60 feet B. 53 feet C. 4 feet D. 23 feet
Determine whether the statement is true or false. If true, prove using mathematical induction. If false, find a counterexample.
If n is a positive integer, then 2 + 4 + 8 + 16 + . . . + 2^n = n(n + 1)