Solve the problem.If ? is the mean and ? is the standard deviation of a normal distribution, then which of the following statements is true?
A. ? must always be positive, ? can be positive or negative.
B. ? and ? must always be positive numbers.
C. ? must always be bigger than ?.
D. ? must always be positive, ? can be positive or negative.
E. none of these
Answer: D
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For the given question, determine whether an Euler circuit, a Hamilton circuit, or neither would solve the problem.The vertices of a graph represent displays at a natural science museum and the edges represent hallways and walkways connecting the displays. A visitor wants to visit each display exactly once, returning to her starting point when she is done.
A. Euler B. Neither C. Hamilton
Find T, N, and B for the given space curve.r(t) = (t2 - 1)i + (2t - 10)j + 5k
A. T = 
i + 
j; N = 
i - 
j; B = -k
B. T = 
i - 
j; N = - 
i - 
j; B = -k
C. T = 
i + 
j; N = 
i - 
j; B = -k
D. T = 
i + 
j; N = 
i - 
j; B = k
Solve using a system of three linear equations.A real estate investor is examining a triangular plot of land. She measures each angle of the field. The sum of the first and second angles is 72° more than the measure of the third angle. If the measure of the third angle is subtracted from the measure of the second angle, the result is twice the measure of the first angle. Find the measure of each angle. (Note: The sum of the angles of a triangle is 180°.)
A. First angle is 24°, second angle is 102°, third angle is 54° B. First angle is 22°, second angle is 102°, third angle is 52° C. First angle is 28°, second angle is 104°, third angle is 48° D. First angle is 30°, second angle is 98°, third angle is 52°
Find the actual sum.0.43 + (-4.286)
A. -3.856 B. -4.716 C. -4.616 D. 1.843