Math questions
Use inductive reasoning to predict the next number in the list.
A store orders cases of tomato sauce from a warehouse. The following bar graph shows the number of cases of tomato sauce in the warehouse for the first four months of a year.
Using inductive reasoning, how many cases of tomato sauce will be in the warehouse in May?
cases
4, 1, 3, 0, 2, −1, 1, ?
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The following table shows the distance a rock has fallen after various amounts of time.
Time (seconds) 0 0.5 1 1.5 2 2.5 3 3.5 4
Distance (feet) 0 4 16 36 64 100 144 196 256
Using inductive reasoning, will the distance the rock has fallen after 4.5 seconds be less than or more than 316 feet?
less than 316 feet
more than 316 feet
Michael, Clarissa, Reggie, and Ellen are attending Florida State University (FSU). One student is a computer science major, one is a chemistry major, one is a business major, and one is a biology major. From the following clues, determine which major each student is pursuing.
1. Michael and the computer science major are nextdoor neighbors. 2. Clarissa and the chemistry major have attended FSU for 2 years. Reggie has attended FSU for 3 years, and the biology major has
attended FSU for 4 years. 3. Ellen has attended FSU for fewer years than Michael. 4. The business major has attended FSU for 2 years.
computer science ---Select---
chemistry ---Select---
business ---Select---
biology ---Select---
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The following graph shows the total amount spent (in millions of dollars) on pets in the United States for the years shown.
Between which two years was the increase in the amount spent on pets the greatest?
2007 and 2008
2008 and 2009
2009 and 2010
2010 and 2011
2011 and 2012
2012 and 2013
2013 and 2014
2014 and 2015
2015 and 2016
2016 and 2017
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The following line graph shows the decline in the value of a car that was originally purchased for $35,000 after each year of ownership.
(a) Between which two consecutive years did the car decrease in value the most?
year 0 and year 1
year 1 and year 2
year 2 and year 3
year 3 and year 4
year 4 and year 5
(b) At the end of 4 years, is the value of the car less than or more than one-half of its original value?
less than one-half
more than one-half
A standard red brick weighs about 4 pounds. A pallet of bricks contains 400 bricks. Would a truck rated to carry a load of one ton (2,000 pounds) be able to haul a pallet of bricks?
Yes
No
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A survey asked 750 people whether they like chocolate (C), butterscotch (B), or strawberry on vanilla ice cream. The results are in the following Venn diagram.
(a) How many people liked exactly one flavor?
(b) How many people liked all three flavors?
(c) How many people liked exactly two of the flavors?
(d) How many people did not like any of the flavors?
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147
64 76 20
97 50 225
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A pharmaceutical company has a new procedure to test whether a person's immune system is reacting properly to the mumps antigen. The test is given to 1,000 people, 200 of whom are known to have the mumps antigen. The results are shown in the following Venn diagram.
(a) Using the Venn diagram, complete the following table.
Positive Test Negative Test
Person Has Mumps Antigen
Person Does Not Have Mumps Antigen
(b) How many false negatives occurred?
(c) Write a sentence that describes a false positive in the context of this test.
There were cases in which there was a ---Select--- and the person did ---Select--- the mumps antigen.
(d) How many true negatives occurred?
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24 176 81
719
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Write the negation of both of the following.
(a) Some cars are not fuel efficient.
All cars are not fuel efficient.
Some cars are fuel efficient.
No cars are fuel efficient.
Some cars are not fuel efficient.
All cars are fuel efficient.
(b) Every parakeet is a bird.
No parakeet is a bird.
No parakeet is not a bird.
Some parakeets are birds.
Every parakeet is a bird.
Some parakeets are not birds.
Determine whether the sentence is a proposition.
Saturn is not a planet in our solar system.
The sentence is a proposition.
The sentence is not a proposition.
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Determine whether the sentence is a proposition.
Would you like coffee or tea?
The sentence is a proposition.
The sentence is not a proposition.
A college finds that of the 851 students taking math, 575 students are business majors and 302 students are taking math and are business majors. How many students are math or are business majors?
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Use an Euler diagram to determine whether the argument is valid.
Choose the Euler diagram that shows whether the argument is valid or invalid.
Is the argument valid or invalid?
valid
invalid
No wizard can yodel. All lizards can yodel.
∴No wizard is a lizard.
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Use an Euler diagram to determine whether the argument is valid.
Choose the Euler diagram that shows whether the argument is valid or invalid.
Is the argument valid or invalid?
valid
invalid
All sandwiches are good. All good sandwiches have pastrami. All sandwiches with pastrami need mustard.
∴All sandwiches with mustard are good.
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Use an Euler diagram to determine whether the argument is valid.
All Italian villas are wonderful. Some wonderful villas are expensive. Therefore, some Italian villas are expensive.
Choose the Euler diagram that shows whether the argument is valid or invalid.
Is the argument valid or invalid?
valid
invalid
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Identify the antecedent and consequent for the following two propositions.
(a) If I practice my accent, I will sound more like a native speaker.
antecedent ---Select--- consequent ---Select---
(b) It is necessary to make a 20% down payment to secure a loan on this house.
antecedent ---Select--- consequent ---Select---
Determine the truth-value of the conditional proposition.
If dogs are mammals, then cats are reptiles.
True
False
Consider the following conditional proposition.
If dogs are mammals, then cats are reptiles.
In the statement above, "dogs are mammals" is called the ---Select--- and "cats are reptiles" is called the ---Select--- .
The antecedent is ---Select--- and the consequent is ---Select--- .
Determine the truth-value of the given conditional.
True
False
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Write a sentence that explains why the argument is a fallacy.
By rejecting community involvement, you are rejecting values such as cooperation and entrepreneurship.
appeal to ignorance
post hoc
appeal to emotion
slippery slope
red herring
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