Questions on Logic: Propositions, Conjunction, Disjunction, Implication answered by real tutors!

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Question 1058568: If 20 men drinks 60 gallons of water in 15 days. How many gallons of water 25 men drinks in 5 days?
Click here to see answer by solve_for_x(190) About Me 

Question 1060543: A building needed 14 windows. The builder had already installed 5 of them. If it takes four hours to install each window. How long will it take him to install the rest? I have tried subtracting 14 and 5 and then multiplying 9 and 4 and getting 36, but i am no sure if it is right.

Click here to see answer by josgarithmetic(39617) About Me 
Question 1060543: A building needed 14 windows. The builder had already installed 5 of them. If it takes four hours to install each window. How long will it take him to install the rest? I have tried subtracting 14 and 5 and then multiplying 9 and 4 and getting 36, but i am no sure if it is right.

Click here to see answer by MathTherapy(10551) About Me 

Question 1061928: There is a correction in this question. How do you make a venn diagram to test the validity of each argument. is or is it valid. I will pay for the answers. need for a big project


( p v q ) → r
~ p → q
_____________
r ( conclusion)
( p→ q ) →r
~p v q
___________
r V q (conclusion)



Click here to see answer by addingup(3677) About Me 

Question 1062819: This question is about disjunctive argument. Please help.
Identify whether the following disjunctive arguments are valid or invalid. Provide a reason for your answer.
(a)
Either you like mathematics or you do not
You do not like physics
Therefore you can't say that you do.
(b)
Either you like mathematics or you do not
You do like mathematics
Therefore, you can't say that you do not.
I have no problem in logic especially on disjunctive arguments, but I have problems in understanding the conclusions of the arguments above because they sound ambiguous to me.
Thank you in advance for noticing and answering my problem.

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Question 1073790: I can understand the truth table, here is the formula -- (pvq)^~p

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Question 1085747: Determine if argument is valid or a fallacy and give the reason.
If I'm hungry, then I will eat.
I'm not hungry.
I will not eat.

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Question 1085748: Give the steps to determine the validity of an argument with a truth table.
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Question 1089125: 510
862
404
323
438
= 995...how to solve ..

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Question 1093560: A family decides to rent a boat for the day while on vacation. The boat's rental rate is $500 for the first two hours and $50 for each additional half hour. Suppose the family can spend $900 for the boat. What inequality represents the number of hours for which they can rent the boat?
Click here to see answer by josgarithmetic(39617) About Me 
Question 1093560: A family decides to rent a boat for the day while on vacation. The boat's rental rate is $500 for the first two hours and $50 for each additional half hour. Suppose the family can spend $900 for the boat. What inequality represents the number of hours for which they can rent the boat?
Click here to see answer by MathTherapy(10551) About Me 
Question 1093560: A family decides to rent a boat for the day while on vacation. The boat's rental rate is $500 for the first two hours and $50 for each additional half hour. Suppose the family can spend $900 for the boat. What inequality represents the number of hours for which they can rent the boat?
Click here to see answer by ikleyn(52778) About Me 

Question 1098572: Let p, stands for the statement ''he is funny'' and q, be the statement ''he is serious'' write each of the following in simple English.(a) pvq (b)p^q (c) p^~q (d) ~pv~q
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Question 1099609: Write down the contrapositive of each of the following propositions, and in each case state whether the proposition is true or false. In all cases assume variables x and y belong to Z.
i. If (x + 1)^2 ≤ 1 then |x|≤ 0.
ii. If x^2 + y^2 ≤ 2xy then x = y.

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Question 1100031: If you invest in business, then you get profit.
You didn't invest in business.
Therefore, you didn't get profit.

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Question 1100526: for each natural number n with n>=3, ((1+(1/n))^n)
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Question 1108514: construct a truth table for (~p \/ q) /\ ~r
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Question 1109186: are they logically equivalent ~pVq; p-->q
Click here to see answer by math_helper(2461) About Me 

Question 495743: Use mathematical induction to prove the following:
For each natural number n,1+5+9+....(4n-3)=n(2n-1).

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Question 1115946: Give a formal proof of the validity of the following arguments. State the inference rule you used to create each new premise. Show all your work.

. There are only three possibilities: either your sister is mad or she is telling lies, or she is telling the truth. You know she does not tell lies, and she is obviously not mad, so we must conclude that she is telling the truth.
​C. S. Lewis

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Question 1126851: Universal Set { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, Set A { 1, 3, 5, 7, 9} and Set B { 0, 1, 5, 6, 8, 10}

Answer the following questions.

a) A∩B =
b) AUB =
c) AU B =
d) n(A∩B)c =
e) B A =
f) A∩ B =

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Question 1127330: A frame of width 5 cm surrounds a painting with dimensions 55 * 45cm. Is the unframed painting similar to the framed painting? Explain your answer.
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Question 1132028:
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Question 1132212: Use natural deduction to derive the conclusion of the following arguments. Do not use conditional proof or indirect proof.
1. (D & E) ⊃ (F & G)
2. (~E v ~ D) ⊃ (H I )
3. ~F
Conclusion: I

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Question 1134999: p q r/// p/\~q /// (p/\~q) /\ ~r
T T T
T T F
T F T
T F F
F T T
F T F
F F T
F F F

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Question 1134996: Complete truth table
q and not p
p q
T T
T F
F T
F F

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Question 1134997: p q////////q v p//////(q v p) /\ ~p
T T
T F
F T
F F

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Question 1136119: 1.(I.E)>C
2.C>~C
/ I

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Question 1136982: What is the true statement of the following equivalence. Not(p Or q) Equivalent (Not p And Not q )
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Question 1141017: Translate into symbolic form and test by truth table the validity of the argument. State if “valid” or “not valid” with appropriate explanations.
If I do not go to gym, then I will not arrive tired.
I go to gym.
_______________________________________
Therefore, I will arrive tired.

Click here to see answer by MathLover1(20849) About Me 

Question 1150243: Let p represent a true statement, while q and r represent false statements.
Find the truth value of the compound statement. ~(q v ~r)
A)True or B)False

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Question 1153281: kindly what is the truth table?
(~p ∧ q) ∨ (p ∧ ~q)

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Question 1153280: p → (p↔~q)
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Question 1164740: Explain, without using a truth table, while the statement (p ∨ ¬q) ∧ (q ∨ ¬r) ∧ (r → ¬p)
is true when at least one of p,q,r is true, and at least one is false, and why the statement is false when p, q, r all have the same truth value.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1164830: Translate the following statement to a symbolic representation.
If Mouth finds One-Eyed Willy's treasure then his family can save their home

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Question 1167898: 1.It is a cardinal principle of company law that the capital of a company once raised, must be maintained. Discuss
2.Ah Kow Berhad is a public listed corporation incorporated in 2019. The company object is to develop property. While carrying out the project, the company faces financial problems due to the unexpected increase of building materials. So, the company secured the loan by way of charging the company landed property. The company finds difficult to settle the loan. In the creditors meeting, directors feel that it is a good company. Advise Ah Kow Berhad. (25 marks)

Click here to see answer by ikleyn(52778) About Me 

Question 1170573: Dinner guests are to be seated at 10 round tables labeled from A to J. Table A has 21 seats numbered consecutively from 1 to 21, table B has 22 seats numbered similarly, table C has 23 numbered seats, and so on to table J having 30 seats. At each table, starting to count at seat 1, every third person will be eliminated. Here's an example:
At a table of 12: in the first round, persons 3, 6, 9, and 12 are gone. Then, 4, 8,and 1 are eliminated. Numbers 7 and 2 are next to go. Number 11 goes next, and then 5. The winner is number 10: (The count on the last step is 5-10-5.) You have 20 seconds to choose a seat at any table from A to J. What equation can you use so that you can make a lucrative choice in 20 seconds? (x is the number of seats at a table and y is the seat that you take.)
a) y = 3x-61
b) y = 4x-83
c) y = 3x-69
d) y = 3x-57
e) y = 3x-72

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Question 1171709: 15 men drink 6 gallons of water in 20 days. Find how many gallons 25 men will drink in 5 days ?
Click here to see answer by ikleyn(52778) About Me 

Question 1172459: if p ^ ~ q is true and ~r🔛q is false then r must be

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Question 1180016: Suppose you play poker with five of your friends every week, but you’re not very good. For every week you win, there are eight weeks where you lose. You don’t play for real money though, so it’s usually no big deal. But next week your friends want to have a real game where everyone puts in $15. The winner keeps all the money, everyone else loses their $15.
a)What is the expected monetary value of playing next week?
b)Now suppose you see a book that teaches people to improve their poker game. The book costs $30, but it will increase your odds of winning.
How much would the book have to increase your odds of winning to make the expected value of buying it positive?

Click here to see answer by math_tutor2020(3816) About Me 
Question 1180016: Suppose you play poker with five of your friends every week, but you’re not very good. For every week you win, there are eight weeks where you lose. You don’t play for real money though, so it’s usually no big deal. But next week your friends want to have a real game where everyone puts in $15. The winner keeps all the money, everyone else loses their $15.
a)What is the expected monetary value of playing next week?
b)Now suppose you see a book that teaches people to improve their poker game. The book costs $30, but it will increase your odds of winning.
How much would the book have to increase your odds of winning to make the expected value of buying it positive?

Click here to see answer by ikleyn(52778) About Me 

Question 1181579: Let R be a relation on A={1,2,3,4} such that aRb means eans | a − b | ≤ 1. Find the matrix representations for R^2and R^(-1).
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Question 1184203: Construct a truth table to determine if the given proposition is a tautology or not:
~ ( A v ~ B) <-> (~ A ^ B)



Click here to see answer by Edwin McCravy(20054) About Me 

Question 1184414: Determine if the given argument is valid or not:
P -> Q
R -> S
~ Qv ~ S
(the 3 dots that looks like a triangle) ~ Pv ~ R

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Question 1184245: TRUE or FALSE
Let p: The set of odd numbers is closed under the operation of addition.
q: (x + y)^3 = x^3 + 3x^2y + 3xy^2 + y^3
1.p ^ q
2.p V q
3.q -> p
4.p <-> q
5. ~p

Click here to see answer by Edwin McCravy(20054) About Me