Use substitution to determine whether the given ordered pair is a solution of the given equation.(4, 2); 2x + 2y = 12

A. Yes
B. No


Answer: A

Mathematics

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A hypothesis test is to be performed. Describe the two possible outcomes of the test using the context of the given situation.Last month the average waiting time at a bank was 8.4 minutes. The manager has installed a new computer system and claims that people will no longer have to wait as long.The hypotheses are as follows:Null hypothesis: average waiting time = 8.4 minutes  Alternative hypothesis: average waiting time < 8.4 minutes

A. Rejecting the null hypothesis means there is evidence that the mean waiting time is not equal to 8.4 minutes.  Failing to reject the null hypothesis means there is insufficient evidence to conclude that the mean waiting time is less than 8.4 minutes. B. Rejecting the null hypothesis means there is insufficient evidence that the mean waiting time is equal to 8.4 minutes.  Accepting the null hypothesis means there is evidence to conclude that the mean waiting time is equal to 8.4 minutes. C. Rejecting the null hypothesis means there is evidence that the mean waiting time is less than 8.4 minutes.  Failing to reject the null hypothesis means there is insufficient evidence to conclude that the mean waiting time is less than 8.4 minutes. D. Rejecting the null hypothesis means there is evidence that the mean waiting time is less than 8.4 minutes.  Accepting the null hypothesis means there is evidence to conclude that the mean waiting time is equal to 8.4 minutes.

Mathematics

Find the unknowns on the right side of the partial fraction decomposition. =  + 

A. A = 1, B = 4 B. A = -1, B = 4 C. A = 1, B = -4 D. A = -1, B = -4

Mathematics

Perform the indicated operation.Let B = . Find -3B.

A.
B.
C.
D.

Mathematics

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = 2x2

A.

B.

C.

D.

Mathematics