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Homework answers / question archive / Use inductive reasoning to predict the next number in the list
Use inductive reasoning to predict the next number in the list.
6, 1, 5, 0, 4, −1, 3, ?
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?
Use inductive reasoning to predict the next image in the sequence. (See Example 2 in this section.)
Brianna, Ryan, Tyler, and Ashley were recently elected as the new class officers (president, vice president, secretary, treasurer) of the sophomore class at Summit College. From the following clues, determine which position each holds. (See Example 8 in this section.)
Estimate the number of raspberries in the following photo. (See Example 3 in this section.)
The following bar graph shows the approximate number of millionaires in the United States for selected years. (See Example 6 in this section.)
A bar graph with 7 bars has the horizontal axis labeled "Year" and the vertical axis labeled "Millionaires (in Millions)". The bar labels followed by their heights are listed:
(a)
Between which two years did the number of millionaires increase the least?
2014 and 20152015 and 2016 2016 and 20172017 and 20182018 and 20192019 and 2020
(b)
Between which two years did the number of millionaires increase the most?
2014 and 20152015 and 2016 2016 and 20172017 and 20182018 and 20192019 and 2020
Use an Euler diagram to determine whether the argument is valid or invalid.
All men behave badly. | |
Some hockey players behave badly. | |
∴ | Some hockey players are men. |
Choose the Euler diagram that shows whether the argument is valid or invalid.
Determine the truth-value of the conditional.
If all frogs can dance, then the sun is cold.
Consider the following conditional statement.
If I were rich, I would quit this job.
(a)
Write the converse of the given statement.
If I quit this job, I would not be rich.If I quit this job, I would be rich. If I were not rich, I would not quit this job.If I did not quit this job, I would not be rich.If I were not rich, I would quit this job.
(b)
Write the inverse of the given statement.
If I quit this job, I would not be rich.If I quit this job, I would be rich. If I were not rich, I would not quit this job.If I did not quit this job, I would not be rich.If I were not rich, I would quit this job.
(c)
Write the contrapositive of the given statement.
If I quit this job, I would not be rich.If I quit this job, I would be rich. If I were not rich, I would not quit this job.If I did not quit this job, I would not be rich.If I were not rich, I would quit this job.
Consider the following conditional statement.
Only if we take the train will we be able to take the entire family.
(a)
Write the converse of the given statement.
If we take the train, we will not be able to take the entire family.If we do not take the train, we will not be able to take the entire family. If we will not be able to take the entire family, we will not take the train.If we will be able to take the entire family, we will take the train.If we will be able to take the entire family, we will not take the train.
(b)
Write the inverse of the given statement.
If we take the train, we will not be able to take the entire family.If we do not take the train, we will not be able to take the entire family. If we will not be able to take the entire family, we will not take the train.If we will be able to take the entire family, we will take the train.If we will be able to take the entire family, we will not take the train.
(c)
Write the contrapositive of the given statement.
If we take the train, we will not be able to take the entire family.If we do not take the train, we will not be able to take the entire family. If we will not be able to take the entire family, we will not take the train.If we will be able to take the entire family, we will take the train.If we will be able to take the entire family, we will not take the train.
State the premise, conclusion, and logical fallacy.
Student:Students need a greater voice when it comes to curriculum changes.Teacher:The teachers are the ones who need a greater voice. We don't ever have a say when it comes to budget issues.
premise
Teachers do not have a say in budget issues.Teachers do not need a greater voice when it comes to budget issues. Teachers need to include students when discussing curriculum changes.Students need a greater voice when it comes to curriculum changes.Students do not need a greater voice when it comes to curriculum changes.
conclusion
Teachers do not have a say in budget issues.Teachers do not need a greater voice when it comes to budget issues. Teachers need to include students when discussing curriculum changes.Students need a greater voice when it comes to curriculum changes.Students do not need a greater voice when it comes to curriculum changes.
logical fallacy
hasty generalizationappeal to emotion red herringslippery slopeappeal to ignorance
State the premise, conclusion, and logical fallacy.
Surely my beautiful and intelligent sister wants to give me a ride to school.
premise
I need a ride to school.My sister is beautiful and intelligent My sister goes to the same school as me.My sister owns a car.My sister wants to give me a ride to school.
conclusion
I need a ride to school.My sister is beautiful and intelligent My sister goes to the same school as me.My sister owns a car.My sister wants to give me a ride to school.
logical fallacy
hasty generalizationappeal to ignorance ad hominemcircular reasoningappeal to emotion
7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7
PHT-34 | CBX-21 |
---|---|
43 | 56 |
49 | 47 |
47 | 43 |
38 | 45 |
47 | 46 |
45 | 49 |
50 | 47 |
45 | 59 |
46 | 53 |
45 | 50 |
45 | 48 |
43 | 51 |
(a)
Which of the following scatter diagrams suggests a nearly perfect positive linear correlation between the x and y variables?
(b)
Which of the following scatter diagrams suggests little or no linear correlation between the x and y variables?
Distance Traveled to Attend College | ||||||||
---|---|---|---|---|---|---|---|---|
40 | 48 | 14 | 16 | 62 | 80 | 6 | 24 | 32 |
32 | 8 | 66 | 74 | 32 | 86 | 18 | 16 | 44 |
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.
There are three labeled circles and a single labeled point inside a rectangle. The three circles are labeled Expensive, Wonderful, and Italian Villas. The point is labeled V.There are three labeled circles and a single labeled point inside a rectangle. The three circles are labeled Wonderful, Italian Villas, and Expensive. The point is labeled V.
There are three labeled circles and a single labeled point inside a rectangle. The three circles are labeled Expensive, Wonderful, and Italian Villas. The point is labeled V.
There are three labeled circles and a single labeled point inside a rectangle. The three circles are labeled Wonderful, Italian Villas, and Expensive. The point is labeled V.
Is the argument valid or invalid?
validinvalid
Determine whether the sentence is a proposition.
Would you like coffee or tea?