Questions on Logic: Sets and operations answered by real tutors!

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Question 615176: find A union B and A intersection B in:
A=(5,10,15,...)
B=(10,20,30,...)

Click here to see answer by jim_thompson5910(35256) About Me 

Question 616187: Let U = {q, r, s, t, u, v, w, x, y, z}
A = {q, s, u, w, y}
B = {q, s, y, z}
C = {v, w, x, y, z}.
Determine the following.
A ∪ (B ∩ C)

Click here to see answer by ewatrrr(24785) About Me 

Question 616992: Locker comb
The numbers of the lock is 0 to 39 with 3 combinations.
??? 1. How many combination are possible on ur locker
2. what is the probability that choosing a combination at random would work to open ur locker
3. suppose u remember one of the numb is 14 what is the prob to open the locker
4 if u remember that the 1st numb is one digit the 2nd numb is in the teens and the last is in the thirties
5 what is the prob that u can open the locker?

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Question 617178: In a class of 40 students, 17 have ridden an airplane, 28 have ridden a boat, 10 have ridden a train, 12 have ridden both an airplane and boat, 3 have ridden a train only and 4 have ridden an airplane only. Some students in the class have not ridden any of the three modes of transportation and an equal number have taken all three.


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Question 617664: If a plane leaves at 5:15pm on wednesday...what is 36 hours earlier?
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Question 617665: If a plane leaves at 7:55pm on thursday...what is 36 hours earlier?
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Question 620814: Out of a total of 365 days in a year, Charles runs on 167 days, swims on 138 doays and bikes on 109 days. He swims and bikes on 78 days, swims and runs on 44 days nad bikes and runs on 33 days. If Charles does all three activities on 30 days, on how many days does he do two or more of these events?
The answe is 95 days, but i have no idea how to figure it out.
Thanks in advance

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Question 621244: What does the phrase "...at least two people are taking two languages at once" mean, in as set problems?
Click here to see answer by KMST(5328) About Me 

Question 622250: n(AUB) = 150
n(ANB) = 50
n(A-B) = 20
find n(B)?

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Question 624814: 1) Determine the following A′ ∪ (A ∩ B)

2) express this set in set-builder notation D = {5, 10, 15, 20,... }

Click here to see answer by jim_thompson5910(35256) About Me 

Question 626372: let A,B,andC be the sets such that AunionB=AunionCandAintersectionB=AintersectionC.show that B=C.
Click here to see answer by Edwin McCravy(20055) About Me 

Question 627583: QUESTION TIME!~
in a class of 40 students, 17 have ridden an airplane 28 have ridden a boat 10 have ridden a train 12 have ridden both airplane and a boat 3 have ridden a train only 4 have ridden an airplane only
some students in the class have not ridden any of the modes of transportation. QUESTION: how many students have taken all three transportation?

Click here to see answer by psbhowmick(878) About Me 

Question 629010: Let the Universal Set = [1, 2, 3, 4, 5], A = [2, 3, 4], and B = [1, 4, 5].
a. Find A - B

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Question 629221: Two students, Bob and John are registered for the same class and attend
independently of each other, Jim 95.1% of the time and Joan 83.9% of the time.
What is the probability that on any given day:
A. at least one of them will not be in class?
B. neither will be in class?
Please help!

Click here to see answer by ewatrrr(24785) About Me 

Question 629819: Please help. Thank you!
Determine which, if any, of the three statements are equivalent. Give a reason for your conclusion. Show complete work and submit your solution to the Dropbox.
I) If tomorrow is not Monday, then today is not Sunday.
II) Today is not Sunday and tomorrow is not Monday.
III) It is not the case that today is Sunday and tomorrow is Monday.
a. I and II are equivalent
b. II and III are equivalent
c. I and III are equivalent
d. None are equivalent
e. I, II, and III are equivalent
Tiffy

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Question 630505: In a group of 60 people, 33 can speak Spanish and 36 can speak French. Find the greatest possible number of people who can speak Spanish, but not French
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Question 630505: In a group of 60 people, 33 can speak Spanish and 36 can speak French. Find the greatest possible number of people who can speak Spanish, but not French
Click here to see answer by richwmiller(17219) About Me 

Question 631584: Section 3.3: #6. Find the truth value of the following statement:
If 2 + 2 = 22, then 8 = 4 + 4

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Question 631585: Write each statement in symbolic form using the indicated letters to represent the corresponding components.
Snoopy is not an aviator (~a), or the Sopwith Camel is an airplane( p).

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Question 634262: candice is four years older than rosa, and the sum of their ages is 22. How old is rosa?
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Question 634262: candice is four years older than rosa, and the sum of their ages is 22. How old is rosa?
Click here to see answer by lynnlo(4176) About Me 

Question 634445: Please help me with this problem. All that I am seeing is blah, blah, blah. I am so lost. I am thanking you in advance for helping me with this problem.
c) 0 is an element of Ø = the null set

Click here to see answer by stanbon(75887) About Me 

Question 634455: I have only this question left. If anyone can help me with this, I will be so happy, and I can close the math book, and take a Tylenol. Thank you so much. I appreciate all that you all do to help us with the things that we do not understand. Bless you.
What is the cardinality of the set L = {x l x is an integer between 20 and 40, inclusive}?

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Question 635160: Sheila can map their floor in 30 min and her sister Bunny in 45 min.How long it take them to finish the job if they work together?
Click here to see answer by checkley79(3341) About Me 

Question 635766: Please help me with these. I have tried, but I cannot get the answer. I know that you can. I thank you so much for taking the time out in helping me. Thank you.
If the universal set U is defined by U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and
A = {1, 2, 3, 4 }
B = {3, 4, 5, 6, 7}
g) What is contained in the complement of the union of A and B ?
h) What is the cardinality of A U B ?

Click here to see answer by stanbon(75887) About Me 

Question 636381: Please help me. This is a different question than previously posted. Thank you so much for your time and energy in answering this question for me.
If the universal set U is defined by U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and
A = {1, 2, 3, 4 }
B = {3, 4, 5, 6, 7}
What is n(A ∩ B) ?

Click here to see answer by jim_thompson5910(35256) About Me 
Question 636381: Please help me. This is a different question than previously posted. Thank you so much for your time and energy in answering this question for me.
If the universal set U is defined by U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and
A = {1, 2, 3, 4 }
B = {3, 4, 5, 6, 7}
What is n(A ∩ B) ?

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Question 636672: U = { 1,2,3,4,5,6,7 }, A = { 1,2,5,7, } , B = { 1,4,5 } What is the set A'⋂B'?
Click here to see answer by Edwin McCravy(20055) About Me 

Question 639973: I need help simplifying!
1. (2x^2)^3/2 divided by 2^1/2x^4
where do i even begin?
2. x^-3 times x^1/2 divided by x^3/2 times x^-1
so confused...

Click here to see answer by lynnlo(4176) About Me 

Question 641507: U={1,2,3,4,5,6,7,8} A={2,4,6} B={1,2,5,8} (A U B)'
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Question 644666: Please help with this, it is only one problem with several parts to it. marilyn cazayoux, financial aid director of a small private southern college surveyed the records of 100 sophomores and found the following: 49 receive government grants, 55 receive private scholarships, 43 receive aid from the college, 23 receive government grants and private scholarships, 18 receive government grants and aid from the college, 28 receive private scholarships and aid from the college, 8 receive from all 3 sources. how many of the students in the survey a) have government grants only. b) have private scholarships but not government grants, c) receive financial aid from only one of these two sources, d) receive aid from exactly 2 of these sources, e) receive no financial aid from any of the sources and f) receive no aid from college or from the government.
Click here to see answer by stanbon(75887) About Me 

Question 644827: Find the solution set of x^3 + 5x^2 + 121x + 605 = 0
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Question 646090: for the set D={3,5,7,9} determine n(D)
Click here to see answer by MathLover1(20849) About Me 

Question 651119: How many seven-digit numbers are there when 0 and 1 cannot be the leading number?
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Question 653454: In a class of 33 students, 20 like rihanna, 10 like rick ross, 3 like neither.
(a) How many students like both?
(b) how many students like rihanna only?
(c)how many students like rick ross only?
I have tried N(r u rr) = n(r) + n(rr) - (r n rr)

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Question 653618: Hi I need your help on a question that is stumping me
A lottery game requires a person to select an uppercase or lowercase letter followed by 3 different odd digits. how many choices can a customer make?
This is what I have figured out so far, the first number will be 52 for the uppercase and lowercase letter
Thank You!

Click here to see answer by DrBeeee(684) About Me 

Question 655027: Hello, Here is my question pertaining to elements in a set:
Let U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {1, 3, 4, 8}, B = {2, 3, 4, 5, 6}, and C = {3, 5, 7, 8}.
List the elements of the indicated sets.
(a) A ∩ C
(b) B ∩ C'
(Be sure to notice the complement symbol applied to C)
(c) B' ∪ C
(Be sure to notice the complement symbol applied to B)

Click here to see answer by lynnlo(4176) About Me 

Question 662603: Given A = {1, 2, 3, 4, 5} B = {2, 4, 6} C = {1, 3, 5}
1. 1. A ∪ B
2. 2. A ∪ C
3. 3. A ∩ B
4. 4. A ∩ C
5. B ∩ C
Answers:
a. {1, 2, 3, 4, 5, 6}
b. {1, 2, 3, 4, 5}
c. null, or empty set
d. {1, 3, 5}
e. {2, 4}

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

Question 669169: 1^3+3^3[-7(5+3^0)-10]... Hmm I thought I fully understood the method of P.E.M.D.A.S. in the order of operations but for some reason I can't seem to get the correct answer.. Hmm what am I doing wrong?
Click here to see answer by Theo(13342) About Me 
Question 669169: 1^3+3^3[-7(5+3^0)-10]... Hmm I thought I fully understood the method of P.E.M.D.A.S. in the order of operations but for some reason I can't seem to get the correct answer.. Hmm what am I doing wrong?
Click here to see answer by lynnlo(4176) About Me 

Question 671162: How do i show a simplified formula for A`-B` ? For example A-B = A n B'
Click here to see answer by swincher4391(1107) About Me 

Question 675481: Insert a basic mathematical symbol in-between each number below to make the equality true. No symbol is used more than once.

11 12 13 14 = 140

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Question 681640: You have "k" number of napkins that you have given away and now have 1/n of the number you originally started with. In terms of "k and n", what is the number you originally started with?
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Question 683908: Using correct mathematical notation and symbols, express the following in set-builder notation: Z = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} and submit it to the Dropbox.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 684608: Perform the indicated operation and write the results in standard form.
(4+√(-3))(3+√(-2)))
Sorry did not know where to post!

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