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

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Question 1101879: 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 to 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
i. The number that applied to both the Daily Times and the Daily graphics
ii. The number that applied to the Daily Times and the punch
iii.the number that applied to both the Daily graphics and the punch
iv.the number that applied to atleast one newspaper establishments.....please I need details on this it's contradicting my own solving

Click here to see answer by ikleyn(52778) About Me 
Question 1101879: 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 to 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
i. The number that applied to both the Daily Times and the Daily graphics
ii. The number that applied to the Daily Times and the punch
iii.the number that applied to both the Daily graphics and the punch
iv.the number that applied to atleast one newspaper establishments.....please I need details on this it's contradicting my own solving

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

Question 1104043: A bowl contains 75 candies identical except for color. Twenty are red 25 are green, and 30 are brown.Without looking, what is the least number of candies you must pick in order to be absolutely certain that three of them are brown?
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Question 1104447: Find the 10th term of the geometric sequence whose common ratio is
12 and whose first term is 7.
.

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Question 1105260: Solve the system of equations using matrices. Use Gaussian elimination with back-substitution. x + y + z = -5
x - y + 3z = -1
4x + y + z = -2

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Question 1105260: Solve the system of equations using matrices. Use Gaussian elimination with back-substitution. x + y + z = -5
x - y + 3z = -1
4x + y + z = -2

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Question 1105295: Logical Reasoning...
All diamonds shine. Mineral X shines. Therefore, mineral X is a diamond.
Thanks!

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Question 1106294:
If Z varies as the square root of X and Z = 21.6 when X = 9, find
a. the relation between Z and X
b. Z, when X = 5.6, correct your answer to 2 sig figures.
c. X, when Z = 43.2.


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Question 1106293: In a class of 60 students, the number of students who passed Biology is 6 more than the number of students who passed Chemistry. Every student passed at least one of the two subjects and 8 students passed both subjects. a. illustrate this information on a venn diagram. b. How many students passed i. chemistry ii. Biology iii. only chemistry iv. only Biology Find the percentage of the students who passed exactly one subject only
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Question 1106383: question 1 find the value(s) of x for which
((x^3-7x^2+6x)/(x^5+4x^4-3))=0
question 2 determine the limiting value of (3n^2+1)/(4(n^2-2)) as n=∞

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

Question 1106839: Need help! The universal set contains all from 1-20
Can you please help with answers? Thank you much!
A=(multiples of 3
B=(odd numbers)

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

Question 1107001: Mrs. Bolloʹs second grade class of thirty students conducted a pet ownership survey. Results of the survey indicate that 8 students own a cat, 15 students own a dog, and 5 students own both a cat and a dog. How many of the students surveyed own no cats?
Click here to see answer by josmiceli(19441) About Me 
Question 1107001: Mrs. Bolloʹs second grade class of thirty students conducted a pet ownership survey. Results of the survey indicate that 8 students own a cat, 15 students own a dog, and 5 students own both a cat and a dog. How many of the students surveyed own no cats?
Click here to see answer by TeachMath(96) About Me 

Question 1107838: M= {vitamins A,C,D,E} find the given sets
Click here to see answer by Fombitz(32388) About Me 

Question 1109076: If the 4
th term of a AP is 16 and the 8
th term is 28
Find:- a) the first term
b) the common difference
c) The 16th term

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Question 1109075: Find the S20 if T3 = 19 and T8 = 44
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Question 1110263: Consider the sets A = {x ∈ Z | x = 6s + 1 for some s ∈ Z} and B = {x ∈ Z | x = 3t + 1 for some t ∈ Z}. Prove the following:
a: A ⊆ B
b: ¬(B ⊆ A)
So sorry I haven't tried anything, but I have no idea where to even begin.

Click here to see answer by greenestamps(13198) About Me 

Question 1110265: Let A, B, and C be sets. Prove the following:
(B – A) ⋃ (C – A) = (B ⋃ C) – A
Sorry I haven't even begun to work out the problem, but I have no idea how.

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Question 1111401: For set B= {3} , determine n(B)
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Question 1111539: Given that A = {1, 2, 3 ……..20} and R is a ternary relation on A defined by equation
x^2 + 4y = z .Find the set of ordered triples of R.

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Question 1111645: How do you write the sum of numbers in a set
for example if set a={2,3,1}
the sum is 6 but how do you write this?

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Question 1112784: Given that A = {1, 2, 3 ……..20} and R is a ternary relation on A defined by equation x 2 + 4y = z .Find the set of ordered triples of R. [3]
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Question 1112940: For the set D={6, 8, 10, 12, 15, 20}, determine n(D)
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Question 309764: If C = {counting numbers} and I = {integers}, then C ∩ I is which of the following?

(A) {whole numbers}
(B) {counting numbers}
(C) {non negative integers}
(D) {positive real numbers}
(E) {even integers}

Click here to see answer by amalm06(224) About Me 

Question 1114654: There are 105 students in a Bio-Chemistry program. The venn diagram shows three of the courses that students may register for. The number of students taking all three courses is denoted by x. Fifty take Chemistry (C) course. All chemistry students are also math (M) students.Sixty-four take biology (B). Sixteen take math only, Nine take math and biology only and 5 take none of the three.
a) Complete the Venn diagram in terms of x where applicable
b) write an equation in terms of x and solve it.

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Question 1116290: A subset of a given set may contain no elements, all the elements of the given set, or some of the elements of the given set. How many subsets can be found in
{a,b,c,d,e,f,g}?

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Question 1116640: 1.1 In a survey of 400 households regarding the ownership of Desktop (D) and laptop computers (L), the following information was obtained:

240 households own only desktop computers, 20 households own only laptop computers and 80 households own neither desktop nor laptop computers.

1.1.1 Represent the given information on a Venn diagram. (4) 1.1.2 Write down an equation in terms of 𝑥 which represents the universal set. (3) 1.1.3 How many households own both desktop and laptop computers? (2)

1.2 Given the universal set 𝑆 = {2,3,4,5,6,7,8,9,10,11}

𝐴 = {𝑥:2(𝑥 − 3), 𝑥 𝑖𝑠 𝑎𝑛 𝑖𝑛𝑡𝑒𝑔𝑒𝑟 ,2 < 𝑥 ≤ 6} 𝐵 = {𝑥 + 1:𝑥 𝑖𝑠 𝑎𝑛 𝑖𝑛𝑡𝑒𝑔𝑒𝑟 ,2 < 𝑥 < 7} 𝐶 = {𝑥:𝑥 𝑖𝑠 𝑎𝑛 𝑒𝑣𝑒𝑛 𝑛𝑢𝑚𝑏𝑒𝑟}

Find:
a) 𝐴 ∩ 𝐶 (2) b) 𝐵 ∪ 𝐶 (2) c) 𝐵 ⊕ 𝐴 (3) d) 𝐴𝐶

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Question 1116642: 1.1 In a survey of 400 households regarding the ownership of Desktop (D) and laptop computers (L), the following information was obtained:

240 households own only desktop computers, 20 households own only laptop computers and 80 households own neither desktop nor laptop computers.

1.1.1 Represent the given information on a Venn diagram. (4) 1.1.2 Write down an equation in terms of 𝑥 which represents the universal set. (3) 1.1.3 How many households own both desktop and laptop computers?

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

Question 1118469: Let P be the set of all triangles in a plane and R be the relation defined on P as aRb if a is similar
to b. Prove that R is an equivalence relation.

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Question 1118498: The set of counting numbers less than 10
Click here to see answer by Theo(13342) About Me 

Question 1118645: a set of six different positive integers has a median and mean of 6. if the largest number in the set is 12, what is the largest possible sum for the largest 3 numbers
Click here to see answer by greenestamps(13198) About Me 

Question 1118819: Find the domain of f(x)=1/2-cos x.
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Question 1118827: Fing the range of the function 1/(2cos x-1)
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Question 1118826: Find the domain of 1/(1-2sin x)
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Question 1118825: Find the domain f(x)=1/(1-2cos x)
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Question 1118812: If f : R − {−1, 1} → R is defined by f(x) = x/
x^2−1 , verify whether f is one-to-one
or not.

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Question 1118909: Prove that the |P{B}| =4, Given the set B={ x| x € Z, x2+3x+2=0}

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Question 1118947: Draw a graph for the function s(t)=-16t^2
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Question 1119476: suppose U = {x | x is a multiple of 2, x < 18 } is the universal set and c = { 4,8,12,16}. what is C
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Question 1121051: SHOW THAT AU(BnC) = (AUB)n(AUC)
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Question 1121052: SHOW THAT A - (BnC) = (A - B)U(A - C)
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Question 1121053: In a group of students, 70 have a personal computers, 120 have a personal stereo and 41 have both. How many own at least one of these devices? Draw an appropriate Venn diagram.
Click here to see answer by solver91311(24713) About Me 
Question 1121053: In a group of students, 70 have a personal computers, 120 have a personal stereo and 41 have both. How many own at least one of these devices? Draw an appropriate Venn diagram.
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1121053: In a group of students, 70 have a personal computers, 120 have a personal stereo and 41 have both. How many own at least one of these devices? Draw an appropriate Venn diagram.
Click here to see answer by ikleyn(52778) About Me 
Question 1121053: In a group of students, 70 have a personal computers, 120 have a personal stereo and 41 have both. How many own at least one of these devices? Draw an appropriate Venn diagram.
Click here to see answer by AnlytcPhil(1806) About Me