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

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Question 905207: A survey of 100 seniors at Mathbe Goode High School reported 82 students taking a mathematics course, 33 taking a chemistry course, and 27 taking a physics course, and 42 students not taking any science course(chemistry or physics). If everyone taking a science course is also taking a mathematics course, how many students are taking mathematics chemistry, and physics
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Question 906273: in a city of 100 people, 35 subscribe to the standard news paper, 60 subscribe to the Daily Nation and 20 subscribe to both papers. how many people subscribe to the standard but not to the Daily Nation
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Question 906574: plz help me with this maths equation i will be really thankful
Q) which of the following sets are equal?
A={1,2,3}
B={x:x^2-2*x+1=0}
and C={x:x^3-6*x^2+11*x-6=0}

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Question 908512: Given numbers a and b, define a©b=a+ab+b. For example, 2©3=2+2(3)+3=11.
1.) What number is the identity of ©? That is, what is the number I such that x©I=x for all values of x.
2.) What number is the inverse of 1 with respect to ©? That is, what number a satisfies a©1=I, where I is the number that you found in question number 1?

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Question 907357: A survey carried out recently to find the number of applicants that applied for jobs in three newspaper establishments, revealed that 70 applied to the Daily Times, 65 applied for the Daily Graphic, and 85 applied to The Punch. 40 applied to the Daily Times only, 20 applied to the Daily Graphic only, while 45 applied to The Punch only. If 15 applied to all the three newspaper establishments, find:
(a) the number that applied to both the Daily Times and the Daily Graphic;
(b) the number that applied to the Daily Times and The Punch;
(c) the number that applied to both the Daily Graphic and The Punch;
(d) the number that applied to at least one newspaper establishment.

Click here to see answer by richwmiller(17219) About Me 

Question 910965: Please help me solve this problem.
A survey was made of the courses taken by 80 students in a class. The figures obtained are shown below,
Mathematics only,15
Physics and Mathematics,40
Mathematics but not Computer Studies,35
Mathematics,70
Computer Studies and Physics,24
Physics,50
Determine the number of students who took
1)Computer studies

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Question 912126: Let U = {3, 4, 5, 6, 7, 8, 9}, A = {3, 4, 5, 6}, B = {3, 4, 7, 8}, and C = {5, 7, 9}. List all the members of the given set. (Enter your answers as a comma-separated list.)

(A ∪ B) ∩ C ?

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Question 912297: prove that this true or false?
P(A union B) = P(A) union P(B)

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Question 914939: 100 students were interviewed for admission into the tertiary institution,28 took chemistry and Biology, 10 took chemistry and english, 6 biology and english, 4 took all subjects. How many students took
A. None of the subjects
2. Chemistry, but not biology, not english
3. Biology and chemistry but not English.

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Question 916201: I'm not even really sure where to look for these online, because we don't have a textbook yet, help please!
Write down A∪B for the following sets
a. A={1,3,5} and B={2,4,6}
b. A={1,3,5} and B={2,3,4}
Write down A∩B for the following sets
a. A={1,3,5} and B={2,4,6}
b. A={1,3,5} and B={2,3,4}
THANKS!

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Question 923444: suppose 60 algebra students are polled to see whether or not they have studied Chinese or German yielding the following data:
24 studied Chinese 20 studied German 6 studied Both
find the number of algebra students who:
a.Studied Chinese only c.studied Chinese or German
b.did no study German d.studied neither language

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Question 925269: Drew purchased a used 50 page book. The book, in which left-hand pages contained even page #s and the right-hand pages contained odd page #s, did not contain all 50 pages. The sum of the page #s on the pages that Drew's book did contain was 1242. What is the greatest page # that could be on a page missing from Drew's book?
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Question 926638: How do I solve this problem using a ratio table.
I know that 5 pounds of apples cost $8.00
I need to fill in the ratio table to find out how much 9 pounds of apples and 11 pounds of apples cost.
Thank you

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Question 929340: if n(A)=37, n(B)=50 and AᑕB, find n(AᑌB) and n(AᑎB)
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Question 931895: ind the indicated set if given the following. (Enter your answer as a set. Enter EMPTY for the empty set.)
A = {1, 2, 3, 4, 5, 6, 7} B = {2, 4, 6, 8} C = {7, 8, 9, 10}

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Question 937667: Let U={1,2,3,4,5,6,7}, A={1,2,3,4}, B= {1,2,5,6}, and C= {3,5,7} List all the members of the given set.
Click here to see answer by Edwin McCravy(20060) About Me 

Question 937994: Please help me solve this problem: 2
Let U = {7, 8, 9, 10, 11, 12, 13}, A = {7, 8, 9, 10}, B = {7, 8, 11, 12}, and C = {9, 11, 13}. List all the members of the given set. (Enter your answers as a comma-separated list.)
A ∪ (B ∩ C)
My email address is tflamer1982@gmail.com

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Question 939634: In a class of 35 students, 19 take history and 12 take economics. if 5 take both subjects, how many take neither?
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Question 939622: a survey of 100 school children was taken to determined how they liked their ice cream. it was found out that 55 like vanilla, 50 do not liked chocolate, 15 like neither chocolate nor strawberry ,90 like at least 1 of these flavors, 35 like chocolate and vanilla , 10 like all these flavors, 45 do not like strawberry
find:a. how many of the 100 school children who are surveyed like strawberry only?b. how many like both strawberry and chocolate?c.how many like chocolate only?
Please help

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Question 939622: a survey of 100 school children was taken to determined how they liked their ice cream. it was found out that 55 like vanilla, 50 do not liked chocolate, 15 like neither chocolate nor strawberry ,90 like at least 1 of these flavors, 35 like chocolate and vanilla , 10 like all these flavors, 45 do not like strawberry
find:a. how many of the 100 school children who are surveyed like strawberry only?b. how many like both strawberry and chocolate?c.how many like chocolate only?
Please help

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Question 940601: If n(U)=24,n(A)=11,n(B)=18,find the greatest number of n(AUB)?
Click here to see answer by stanbon(75887) About Me 

Question 940578: Perform the given set operation. Let
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
(Enter your answers as a comma-separated list. Enter EMPTY or ∅ for the empty set.)
{1, 3, 6} U {2, 5, 9}

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Question 940571: 2 5/6 + b = 6 2/3
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Question 941042: In a class of 32 pupils:
5 pupils live in New Town, travel to school by bus and eat school dinners.
3 pupils live in New Town, travel to school by bus but do not eat school dinner.s
9 pupils do not live in New Town, do not travel to school by bus and do not eat school dinners.
11 pupils live in New Town and have school dinners.
16 pupils live in New Town.
9 pupils travel by bus and eat school dinners.
13 pupils travel by bus.
How many pupils eat school dinners?

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Question 942078: Solve for r if 2r+b=10 and 2r-3b=-6
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Question 944804: Reminder: The set of natural numbers is denoted N = {0,1,2,3,...}
The set of natural numbers excluding 0 is denoted N^+ = N \ {0}
Write all the members of the following set: A = {x ϵ N^+ | x < 4}

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Question 944804: Reminder: The set of natural numbers is denoted N = {0,1,2,3,...}
The set of natural numbers excluding 0 is denoted N^+ = N \ {0}
Write all the members of the following set: A = {x ϵ N^+ | x < 4}

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Question 946026: Denote each set by the listing method.
The set of U.S presidents who served after Richard Nixon and before Barack Obama.

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Question 946025: Find n(A) for each set.
A={x|x is a vowel in the English alphabet}

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Question 946027: Let U = {2, 3, 4, 5, 6, 7, 8}, A = {2, 3, 4, 5}, B = {2, 3, 6, 7}, and C = {4, 6, 8}. List all the members of the given set. (Enter your answers as a comma-separated list.)
A ∪ (B ∩ C)

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Question 946029: Find n(A) for each set.
A= {1/2,-1/2,1/3,-1/3,...,1/10,-1/10}

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Question 427843: 0.5^x=2
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Question 949030: Let: U {0,2,4,6,8,10,12}, A={0,4,8,12}, B={2,10,12], C=0,2,6,10,12}
____
Find: C-A
__
C n B
______
(A u B) n C

Click here to see answer by Fombitz(32388) About Me 

Question 951796: Show that a subset C of a preordered space (X, ≤) is a chain if and only if
C × C ⊂ A ∪ A−1, where A := {(x, y) : x ≤ y}, A−1 := {(x, y) : (y, x) ∈ A}

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Question 955563: If a license plate consists of four digits, how many different licenses could be created having at least one digit repeated.
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Question 955568: If a single card is drawn from a standard 52-card deck, in how many ways could it be an ace or a spade?
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Question 955572: Suppose that 8 fair coins are tossed. Find the numbers of ways of obtaining exactly 5 heads.
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Question 955571: For a set of 9 elements, find the number of different subsets of size 3.
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Question 955574: How many 6-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetitions of digits are allowed (remember that you can not have zero as the first digit)?
Click here to see answer by MathLover1(20850) About Me 

Question 965491: a to the b power = b
but a can not equal b
what is the value of a and b?

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Question 967113: Ca you pls help me with math set D={5,7,9} determine n (D)
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Question 970487: if john buy 15 oranges for $6, then how many can he buy for $10?
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Question 972043: Let n(C) represent the number of elements in the set C. If n(A intersect B) is 17 and n(A union B)-n(B) is 17, what is n(A)?
I was trying to do n(A union B) -n(B) = n(A) -17
17 = n(A) - 17
34 = n(A)
Is that right?

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Question 972657: I have a question over unions and intersections of sets. My question is A={1,2,3,4,5,6,7,8,9} and B={2,4,6,8} what is A U B? This would be mighty awesome if you can help me. Thanks

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Question 974543: a.If A has six elements and B has eight elements, how many elements are in A x B?
b. If A has g elements and B has h elements, how many elements are in A x B?
c. If A has g elements, B has h elements, and C has k elements, how many elements are in (A x B) x C?

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