Simplify the algebraic expression.-9(7x + 3)
A. 63x - 27
B. -63x - 27
C. -63x + 27
D. -63x + 3
Answer: B
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Solve the problem.Suppose that the random variables (X, Y) have joint PDF 
Find k and P(Y > 4).
A. 
; 4.22
B. 
; 0.7
C. 36; 4.22
D. 36; 0.7
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.
Which reasoning process is shown in the following example?We examine the email addresses of 100 people. No two individuals from this group of people have identical email addresses. We conclude that for all people, no two people have identical email addresses.
A. deductive reasoning B. reasoning by counterexample C. theoretical reasoning D. inductive reasoning
Which of the following is likely to be most strongly influenced by sociomathematical norms in place in a classroom?
a. A class discussion about students' attitudes toward learning mathematics. b. A class discussion about being polite to one another when arguing different points of view about solving problems. c. A class discussion about whether the quadratic equation or factoring is the best way to solve a given equation. d. A class discussion about how the mathematics learned in the classroom may be applicable in real-world settings.