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Homework answers / question archive / 1) Suppose you have 6 tubes of paint

1) Suppose you have 6 tubes of paint. How many distinct color groupings can you make with your paint?

The Venn diagram below shows the number of people in a room.

2 Consider the set of whole numbers from 1 to 10, inclusive.

List the numbers that meet the condition: greater than six and odd

3 The expression =IF(A1 > 7, 9*A1, 2*A1) is used in a spreadsheet.

Find the result if A1 is 6

Find the result if A1 is 12.

4 For the statement R→P identify the Inverse, Converse, Contrapositive and original statement

- -
- Contrapositive
- Inverse
- Converse
- Statement
- R → P
- -
- Contrapositive
- Inverse
- Converse
- Statement
- ~R → ~P
- -
- Contrapositive
- Inverse
- Converse
- Statement
- ~P → ~R
- -
- Contrapositive
- Inverse
- Converse
- Statement
- P → R

9 Use De Morgan's Laws to write statement that is equivalent to the following statement:

"It is not true that North Dakota and East Dakota are both states."

- Either East Dakota is a state, or North Dakota is not a state.
- Either North Dakota is a state, or East Dakota is not a state.
- Either North Dakota is not a state, or East Dakota is not a state.
- North Dakota is not a state, and East Dakota is not a state.
- North Dakota is not a state, and East Dakota is a state

10 Determine whether the following argument is inductive or deductive:

"All deserts have some plant life. Some plants must therefore live in the Gobi Desert."

This argument is Select an answer

inductive

deductive

11 Premise 1: The defendant has no alibi for the night of the theft.

Premise 2: The stolen goods were found in the defendant's possession.

Premise 3: Two witnesses have identified the defendant as the thief.

Conclusion: The defendant is guilty of theft.

Decide whether the above argument is inductive or deductive.

**Select an answer**

** **

**Inductive**

** **

**Deductive**

** **

If the above argument is inductive, decide if it is strong or weak. Select not applicable if the argument is deductive.

**Select an answer**

** **

**Weak**

** **

**Not Applicable**

** **

**Strong**

** **

If the above argument is deductive, decide if it is valid or invalid. Select not applicable if the argument is inductive.

12 Premise 1: All the cups in my house are green.

Premise 2: I am drinking from a green cup.

Conclusion: I must be at home.

Decide whether the above argument is inductive or deductive.

Select an answer

Deductive

Inductive

If the above argument is inductive, decide if it is strong or weak. Select not applicable if the argument is deductive.

**Select an answer**

** **

**Valid**

** **

**Invalid**

** **

**Not Applicable**

** **

If the above argument is deductive, decide if it is valid or invalid. Select not applicable if the argument is inductive.

**Select an answer**

** **

**Not Applicable**

** **

**Strong**

** **

**Weak**

** 13 **Categorize the following logical fallacy.

Since the 1950s, both the atmospheric carbon dioxide level and obesity levels have increased sharply. Hence, atmospheric carbon dioxide causes obesity.

Select an answer

Appeal to consequence

Appeal to ignorance

Post hoc

Circular reasoning

False dilemma

Straw man

Correlation implies causation

Appeal to authority

Ad hominem

14 Categorize the following logical fallacy.

What is right is what is morally obligatory. What is morally obligatory is what you should do. Of course, you should do something because it is the right thing to do.

Select an answer

Ad hominem

Appeal to consequence

Appeal to authority

Post hoc

Circular reasoning

False dilemma

Appeal to ignorance

Correlation implies causation

Straw man