Solve the problem.Find the vector from the origin to the center of mass of a thin triangular plate (uniform density) whose vertices are A(10, 4, 2), B(7, 9, 5), and C(2, 8, 10).

A. i + 7j + k
B. i j - 8k
C. i - 1j k
D. i j k


Answer: A

Mathematics

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Find the indicated probability or percentage for the normally distributed variable.The mean weekly income of teachers in one state is $390 with a standard deviation of  The incomes are approximately normally distributed. What is the probability that a randomly selected teacher earns more than $425 a week?

A. 0.099 B. 0.215 C. 0.218 D. 0.782

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Provide an appropriate response. There are 14 boxes with either a striped tie or a solid colored tie. 8 of the boxes contain solid colored ties. What is the probability of selecting at random a box containing a striped tie?

A.
B.
C.
D.

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Solve the problem.For an electrical circuit, the voltage E is modeled by E = 2.7cos 38? t, where t is the time in seconds. How many cycles are completed in one second?

A. 19 cycles B. 38? cycles C. 2.7 cycles D. 38 cycles

Mathematics

Find the radian measure of the angle ?.The length of the circular arc associated with ? is 21 on a circle of radius .

A.  
B. 21
C. 63
D. 28

Mathematics