Which of the following statements is logically equivalent to: "If he studies, he will pass the course."
(A) He passed the course; therefore, he studied.
(B) He did not study; therefore, he will not pass the course.
(C) He did not pass the course; therefore he did not study.
(D) He will pass the course only if he studies.
(E) None of the above.
We have three types of logical statements that are formed from a conditional statement. They are:
ConversesInversesContrapositivesLet's say the conditional statement is: If A, then B.
Converse: If B, then A.Inverse: If not A, then not B. Contrapositive: If not B, then not A.One important thing to note is that while these are all variations of a conditional statement, the converse and inverse are not always necessarily true.
On the other hand, the contrapositive is always true. This can be proved mathematically, and I will prove it now in an example.
Example:A standard example would be the following conditional statement:
If it rained last night, then the sidewalk is wet.We agree that the original statement is true. Now, let's form the converse, inverse, and contrapositive to this statement:
Converse: If the sidewalk is wet, then it rained last night.While this may be true, it is not guaranteed that it rained last night. The sidewalk could be wet for other reasons than rain.
Inverse: If it did not rain last night, then the sidewalk is wet.This statement obviously seems flawed, as there was no rain to make the sidewalk wet. It must be wet for other reasons.
Contrapositive: If the sidewalk is not wet, then it did not rain last night.This statement is true and is logically equivalent to the original statement.
Answer:Now, let's apply our knowledge of logically equivalent statements to the given conditional statement.
If he studies, he will pass the course.
Converse: If he passes the course, he studied.Inverse: If he did not study, he will not pass the course.Contrapositive: If he did not pass the course, he did not study.The sequence of this statement, not-B then not-A, is followed in answer choice C. Therefore, this is the correct answer choice.
Remember that if a question asks you to find the logically equivalent statement to a conditional, always look for the contrapositive.
Answer:
Explanation:
In logic, contrapositive of an implication is always true:
“A implies B” is equivalent to “¬B implies ¬A”
Applying that concept in this case:
"If he studies, he will pass the course."
The contrapositive is:
If he does not pass the course, he has not studied.
Among the choices, the answer is (C) He did not pass the course; therefore he did not study.
banks use debit-to-income ratios in order to:
A. decide whether they need to look at a borrower's credit history before making a loan.
B. see how often a borrower has missed payments on other loans in the past.
C. see how much money a borrower earns compared to how much he or she has borrowed.
D. analyze the value of a borrowers home and cars to be used as collateral for a loan.
Banks use debit-to-income ratios in order to: C. see how much money a borrower earns compared to how much he or she has borrowed.
What is a loan?A loan refers to an amount of money that is being borrowed from a bank or other financial institutions (lender) by a borrower, and it is generally expected to be paid back to the lender at an agreed date with interest.
Generally, a financial institution such as a bank that is lending out an amount of money to a borrower, usually make use of debit-to-income ratios in order to determine how much money a borrower earns with respect to how much he or she has borrowed.
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To find news articles about the San Francisco earthquake of 1906, Lana should most likely search government archives. databases of periodicals. an Internet encyclopedia. databases of library books. 48 POINTS I NEED IT NOW
Answer:
B. databases of periodicals
Explanation:
Databases include the citations of articles in magazines, journals and newspapers. A periodical is a magazine or newspaper published at regular intervals. So if she's looking for news articles about this earthquake then she should most likely search databases or periodicals.
Answer:
B
Explanation:
databases of periodicals
Orang? Or not Orang?
Answer:
I'm so confused please explain
Answer:
Orange??????????? Whats Orang, its Orange
why would you want your school to have academic integrity?
Both A and B
It increases the value of my degree.
It makes it harder for me to get my homework done.
It validates that the degree I am earning has value to the market
Answer:
THE ANSWER IS BOTH A AND B
On March 31, the financial information of XYZ company are as follows: capital on March 1 $300,000, owner's contribution $150,000, owner's withdrawals $50,000, expenses $70,000,
revenues $100,000, and liabilities $200,000. What is the amount of assets as of March 31 of the current year?
А. $520,000
B $630,000
с. $690.000
D $550,000
When considering time management techniques, it is important to remember that ________. a. The more techniques used, the better off you will be b. You have to try strategies that don’t make sense for your type of work c. Not all techniques work well for all people in all situations d. Each strategy can work for everyone Please select the best answer from the choices provided A B C D
Answer:
C
Explanation:
Not all techniques work well for all people in all situations.
Answer:
C or 3
Explanation:
Not all techniques work well for all people in all situations
What do you think the story of Tom Sawyer and whitewashing the fence says about Tom as a manager?
pliiss help soon
Answer:
Tom continues whitewashing the fence when along comes Ben Rogers, eating an apple and playing at running an imaginary steamboat. Tom pretends to be wholly absorbed in his task. When Ben teases him about having to work, Tom contends that whitewashing is a privilege, and one that Aunt Polly would only trust to him. i think double check
Explanation:
Which of the following best describes the roles of Betsy in "Wealthier than Kings" and the speaker's love in "Sonnet 29"?
O Betsy and the speaker's love force Adrianna and the speaker to focus less on their own futures and more on the futures of others.
O Betsy lends a supporting hand and many uplifting words, while the speaker's love provides little support or joy to the speaker.
O Betsy is disappointing to Adrianna, and the absence of the speaker's love makes the speaker even fuller of despair.
O Betsy and the speaker's love make Adrianna and the speaker realize that their lives are full of hope, promise, and immense value.
Answer:
D. Betsy and the speaker's love make Adrianna and the speaker realize that their lives are full of hope, promise, and immense value.
Explanation: I got it right
The statement best describes the roles of Betsy in "Wealthier than Kings" and the speaker's love in "Sonnet 29" is Betsy and the speaker's love makes Adrianna and the speaker realize that their lives are full of hope, promise, and immense value. Thus the correct option is D.
What is Sonnet?A sonnet is a type of poem in English literature which consists of mainly 14 lines containing structures as rhyme. "Sonnet 29" is based on the theme of love and jealousy that how loves creates an impact on an individual.
Shakespeare engages in an imaginative comparison between profound plenty and material wealth in Sonnet 29. The piece begins with the speaker experiencing a great feeling of hopelessness, despair, and a sense that God couldn't even care about him.
Therefore, option D is appropriate.
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What is an example of unequal development in North Carolina after American independence? Raleigh was named the state capital and grew quickly as a center for banking and investing. Western towns became major trading centers between coastal ports and mountain passes. The coastal plain region was wealthier than the west and had better access to roads and education. Wake County experienced a population surge as people moved in to take advantage of free farmland.
Answer:
The coastal plain region was wealthier than the west and had better access to roads and education.
Explanation:
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All of the following are types of business entities except:
A.non-profit
B.Partnership
D.Corporation
C.sole proprietorship
Answer:
State of being busy is called business
Nadia has inserted an image into a Word document and now would like to resize the image to fit the document better. What is the quickest way to do this?