Simplify the expression. (Remember the order of operations.)4 + (-16) - 12 - (-19) + (-8)

A. -51
B. -27
C. 21
D. -13

Answer: D

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.The governor of a state claims that since his tax cuts have taken effect, the unemployment rate has dropped. The unemployment rate in the state had been 6.3% prior to the tax cuts.The hypotheses are as follows:Null hypothesis: unemployment rate = 6.3% Alternative hypothesis: unemployment rate < 6.3%

A. Rejecting the null hypothesis means there is insufficient evidence that the unemployment rate is equal to 6.3%. Failing to reject the null hypothesis means there is insufficient evidence to conclude that the unemployment rate is equal to 6.3%. B. Rejecting the null hypothesis means there is evidence that the unemployment rate is less than 6.3%. Failing to reject the null hypothesis means there is insufficient evidence to conclude that the unemployment rate is less than 6.3%. C. Rejecting the null hypothesis means there is evidence that the unemployment rate is not equal to 6.3%. Accepting the null hypothesis means there is evidence to conclude that the unemployment rate is equal to 6.3%. D. Rejecting the null hypothesis means there is evidence that the unemployment rate is less than 6.3%. Accepting the null hypothesis means there is evidence to conclude that the unemployment rate is equal to 6.3%.

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Mathematics