The statement “Betty is both a mother and an aunt” is not true. Then, she must be

“Every dog has a tail. Buddy does not have a tail. Therefore, Buddy is not a dog.” This is a valid argument.

If p and q are both true, then the statement “p or q” is

A is the data set {30, 40, 50, 60, 70}.  Make up another data set, B, such that B has the same mean as A, has exactly five numbers as A does, and has a bigger standard deviation than A.  Write your answer in the box below. You do not have to show your work for this problem. 

In 2020, the U.S. announced that it will join the One Trillion Trees Initiative. If one tree can be planted every minute, approximately how many years would it take to plant 1 trillion trees? (Hint: One trillion is 1000 billion, and one billion is 1000 million.) Assume every year has 365 days. 

The negation of the statement “Some passengers are sick” is “No passengers are sick.”

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Suppose you are financing $300,000 to buy a house. The amount of your monthly payment will be less with a 15-year mortgage compared with a 30-year mortgage. 

A deductive argument starts with specific examples and comes up with a general statement.

The table below shows the number of patients at a community hospital: Outpatient Hospitalized Total Men 60 30 90 Women 55 45 100 Total 115 75 190   (a) Find the probability that a patient is hospitalized GIVEN that the patient is a woman. (b) Find the probability that a patient is a woman GIVEN that the patient is hospitalized.  Be sure to answer both questions. You do not have to reduce (simplify) your answers. Write ONLY your answers in the response box. Show your work which justifies your answers ON YOUR PAPER.