Which of the following is correct if B C A? (Hint: Drawing a Venn diagram can help.) Select one or more: a. A U B = B. O b. An B = B. О с.АС В. O d. B \ A = Ø. e. A U B = A. O f. A \ B = Ø. g. An B = A.

Q: 1. Use the following information to create a Venn diagram. Make sure to include a title and labels.…

A: Given data: The total numbers of people are n(U)=300. The numbers of people who prefer chocolate are…

Q: (BUA)NC

A: B∪A∩C' In this B∪A represents all the portions icluding A and B.  So, the venn diagram can be drawn…

Q: Draw the Venn diagram A' N (B UC)

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Q: Given the following definintion U= {a,b,c,d,e,f,g} A={a,c,e,g} B= {a,b,c,d} find A ∩ B

A: Given,U= {a,b,c,d,e,f,g}A={a,c,e,g}B= {a,b,c,d}

Q: Which notation is correctly describe the Venn Diagram?

A: Let A be a set, then the complement of set A is denoted as A'. It can be written that A'=U-A, where…

Q: Of the 420 studdents at Middletwon High School, 126 study French and 275 study music. Twenty percent…

A: Given, Total number of students = 420 Students who study french = 126 Students who study music =…

Q: Use the given information to draw a Venn diagram. n(A n Bn C) = 2, n(A n BC n C) = 8, n(AC n BC n C)…

A:

Q: For the following Venn diagram, what is p((AUB)lC)

A: P(C)  = 0.42   P( (A ∪B) ∩ C) = 0.24

Q: Use the given information to draw a Venn diagram. n(A ∩ B ∩ C) = 3, n(A ∩ BC ∩ C) = 8, n(AC ∩ BC ∩…

A: Given Information:    n(A ∩ B ∩ C) = 3, n(A ∩ BC ∩ C) = 8, n(AC ∩ BC ∩ C) = 5, n(AC ∩ B ∩ CC) = 10,…

Q: Which notation represents the venn diagram? O A. ANB O C. A'NB B. AUB O D. (ANB)'

A: First, draw the Venn diagrams for A∩B , A'∩B , A∪B and A∩B' . Then compare with the diagram in the…

Q: Draw a Venn diagram that illustrates the situation described. BCA Choose the correct answer below.…

A: Use property of proper subset

Q: 4. Is the following argument valid, or invalid? • All gems are minerals. • No gems are organic…

A:

Q: The following Venn diagram represents A C B AUBUCUD O B - (A UBU C) O A - (BNCND) O (AN B) U (CN D)…

A:

Q: In a class of 25 students, 17 drink tea, 11 drink coffee and 5 students drink neither. a. Draw a…

A: We have to first draw the corresponding Venn Diagram.

Q: 2. Show using Venn diagrams the following are true: a) (A – B) C A b) An(B – A) = Ø

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Q: Consider the Venn Diagram below.     n(A)= ? n(A∪B)= ? n(B¯)= ? n(A¯∩B)=  ?

A:

Q: Use the given information to draw a Venn diagram. n(A N B N C) = 2, n(A N BC n C) = 9, n(AC n BCn C)…

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Q: Use a Venn diagram to answer. If n(A) = 8, n(B)= 10 and n(A N B) = 3, what is n(AU B)? %3D n(A U B)…

A: Answer - Given,   n(A)  = 20,  n(B)  = 24,  and  n( A∩B )  = 3             Find n( A U B )   = ?

Q: Given that n(U) = n(A U BUC) = 37, n(ANBNC) = 6, n(AN B) = 14, %3D n(An C) = 11, n(BnC) = 9, n(A)…

A:

Q: If P(A)= 0.41, P(B) = 0.54, P(C)= 0.35, P(ANB)= 0.28, and P(BN C) = 0.15, find P(A BUC) using the…

A: We have to find given probability...

Q: draw a Venn diagram of: U=61 n(A)=32 n(B)=26 n(A U B)=40 n(A intersection B)=18

A:

Q: From the Venn Diagram below: Find (AUB)'nA 1 9 6 12 4 8 10 7 11 O A) { } O B) None O C) {3,6,9,12} O…

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Q: For the following Venn diagram, what is p(AUB)C}?

A: P(C) = 1 - P(C)P(C) = 1 - 0.42P(C) = 0.58   P(A∪B ∩ C) = 0.53

Q: Use the given information to draw a Venn diagram. n(A n B n C) = 2, n(A n BC n C) = 8, n(AC n BC n…

A: According to the given information, it is required to draw the Venn diagram for the given…

Q: Which of the following statements describes the Venn diagram below? B A а. РА)> Р(B) O b. P(Ā…

A: Farmula used  P(AUB)=P(A)+P(B)-P(A⋂B)  P(Ac ⋂ B)=P(B)-P(A⋂B) P(Ac)+P(A)=1

Q: What is the Upper fence for the: following observations * 13,11,20,16,14,13,18,15,17,18 (äbäi 2)…

A: Given, 13,11,20,16,14,13,18,15,17,18

Q: .Use Venn diagrams to determine whether following is true. a. A – (BNC) = (A – B) N (A – C)

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Q: A' Based on the Venn diagram, the correct statement is Select one: O a. n(A) + n(A)' + n(U) O b.…

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Q: Use Venn diagrams to verify the two De Morgan laws:(a) (A ∩ B) = A ∪ B ; (b) (A ∪ B) = A ∩ B

A: a) Step-by-step procedure to draw the Venn diagram: Draw the circle. Plot the set A and B. Draw the…

Q: 17. Draw a Venn diagram that illustrates the following relationship when S = {eBay, Google, Amazon,…

A: Given that S={eBay, google, amazon, OHaganbooks, hotmail} A={Amazon, hotmail} B={eBay, google,…

Q: Mrs. Cruz asked her 30 students who among their mother, father, or sibling will attend the quarterly…

A:

Q: Given the following definitions: U = {a, b, c, d, e, f, g} A = {a, c, e, g} B = {a, b, c, d}…

A: Given, U = {a, b, c, d, e, f, g} A = {a, c, e, g} B = {a, b, c, d}

Q: Construct the following 3 Venn diagrams and show the answers. A = { l, 2, 3 , 4, 5} and B = {0, 3 ,…

A: A = { 1,2,3,4, 5} and B = {0,3,6} and C = {2,4,8,9 }

Q: The following Venn diagram was created from surveying each student in class. Each student was asked…

A: Let,  I represents the  international students and M represents the married students. From the Venn…

Q: Consider the Venn Diagram below. A В 6 2 4 9 n(A) = n(B)= n(AN B)= n(AU B)= n(A)= n(B)= |

A: we need to find following from the Venn Diagram n(A) = ?n(B)= ?n(A∩B)= ?n(A∪B)= ?n(A¯)=  ?n(B¯)= ?…

Q: For the following Venn diagram, what is P{(CUB)|Ā } ? A B 0.04 0. 20 0. 20 0.01, 0.06 0.05 0.30 C

A: It is an important part of statistics . It is widely used .

Q: Do as indicated. 1. Use Venn diagrams to show that (An B)' = A'U B'.

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Prove the following using Venn diagrams: i. An (BUC) = (A N B) U (A nc) ii. (A nB)' = A' U B'

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Q: ven that n(U) = 50, n(A) = 25, n(B) = 22, and n(A U B)' = 13,  a) Find n(A (Intersect) B) b) Draw…

A: First we have to find n(AnB): Given that, n(U)=50 n(A)=25 n(B)=22 n(AUB)'=13

Q: A Venn diagram of A and B is given below A В -2 8 3 13 4 -1 -3 7 Find Aº U Bº.

A: Using Demorgan's law we get Ac∪Bc=(A∩B)c

Q: Consider the Venn Diagram below.   n(A)=  ? n(B)= ? n(A∩B)= ? n(A∪B)= ? n(A¯)= ? n(B¯)= ?

A: We have to find out the cardinality of set

Q: For the following Venn diagram, what is P{(BUC)A}

A: P(A) = 0.23 + 0.07 + 0.04 +0.06 = 0.4   P((B∪C) ∩A) = 0.23

Q: Given the Venn diagram, shade the corresponding regions.

A: Venn diagram are used to pictorial representation of different groups. It used for easy understand…

Q: Consider the Venn Diagram below. A В 10 7 4 n(A) 9 n(An B) = | 10 n(BUĀ) = 4

A:

Q: In a school of 100 students, 70 students play either football or cricket with 40 students that play…

A:

Q: Draw a Venn diagram to represent each of the following: (a) AUB (b) (A U B) (c) An (BU C) (d) (An B)…

A: The Venn diagrams are used to illustrate the logical relationships among the sets. Each set is…

Q: Recall that Hamilton circuits that differ only in their starting points or sense of direction, are…

A: We have to find the correct option.

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.