Let A be the set of factors of 36 and B be the set of multiples of 3. List down the elements of the following: a. AnB b. A\B

Q: If n(A ∪ B) = 60, n(A ∩ B) = 40, and n(A) = n(B),find n(A).

A: Givenn(A∪B)=60n(A∩B)=40n(A)=n(B)To find n(A)

Q: If n(A) = 12, n(A ∪ B) = 30, and n(A ∩ B) = 6, find n(B).

A:

Q: If n(A ∪ B) = 97 and n(A) = n(B) = 61, find n(A ∩ B).

A:

Q: If n(A ∪ B) = 50, n(A ∩ B) = 10, and n(B) = 20,find n(A).

A: Given,n(A∪B)=50,n(A∩B)=10 and n(B)=20 To find: n(A) Solution: We know,…

Q: If n(A) = 2, n(B) = 5, and n(A ∪ B) = 7, find n(A ∩ B).

A:

Q: If  n(A ∪ B) = 92 and n(A) = n(B) = 64, find n(A ∩ B).

A: Given  n(A ∪ B) = 92 and n(A) = n(B) = 64

Q: If n(A ∪ B) = 96 and n(A) = n(B) = 67, find n(A ∩ B).

A:

Q: if n(A) = 102, n(A u B) = 157, and n(A n B) = 47, find n(B).

A:

Q: What are the greatest common divisors of the following pairs of integers? (a) 2³ · 3³ . 53 and 2 ·…

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Q: If  n(A) = 61, n(B) = 16, and n(A ∩ B) = 6, find n(A ∪ B).

A: Given:  n(A) = 61, n(B) = 16, and n(A ∩ B) = 6, To find: n(A ∪ B).

Q: If n(A) = 45, n(B) = 15, and n(A ∩ B) = 9, find n(A ∪ B).

A:

Q: If n(A) = 102, n(A ∪ B) = 157, and n(A ∩ B) = 43, find n(B)

A:

Q: If  n(A) = 105, n(A ∪ B) = 144, and n(A ∩ B) = 46, find n(B).

A: We know from set theory nA∪B=nA+nB-nA∩B

Q: If n(A) = 106, n(A ∪ B) = 141, and n(A ∩ B) = 46, find n(B).

A:

Q: If P(B) = 0.3, P(A or B)= .06, and P(A and B)= .2, find P(A)

A: From the properties of probability, for any two events A and B we have

Q: Find each of the following. \{1,3,5,7\} \cup\{2,4,6\}

A: To find the set, 1,3,5,7∪2,4,6

Q: If n(A) 102, n(A U B) = 142, and n(A n B) = 44, find n(B). %3D

A:

Q: If n(A) = 108, n(A ∪ B) = 146, and n(A ∩ B) = 41 find n(B).

A: Please refer the attached image for complete solution.

Q: n(A) = 104, n(A ∪ B) = 144, and n(A ∩ B) = 45, find n(B).

A: The following information has been given: n(A) = 104, n(A ∪ B) = 144,  n(A ∩ B) = 45 We need to…

Q: Let A = {H, T}, B = {1, 2, 3, 4, 5, 6}, and C = {red, green, blue, black}. Find the number…

A: To find the indicated number.

Q: If n(A) = 40, n(B) = 22, and n(A ∩ B) = 4, find n(A ∪ B).

A: topic - sets

Q: If n(A) = 64, n(B) = 16, and n(A ∩ B) = 4, find n(A ∪ B).

A: Given, n(A) = 64, n(B) = 16, and n(A ∩ B) = 4   The objective is to find n(A ∪ B).

Q: If n(A) = 104, n(A ∪ B) = 145, and n(A ∩ B) = 42, find n(B).

A: We will find out the required value.

Q: If n(A) = 44, n(B) = 23, and n(A ∩ B) = 8, find n(A ∪ B).

A: Explanation of the solution is given below...

Q: In how many can the 4 couples sit around a circular table so that no two men are sitting together? *…

A: Given  4 couples sit around a circular table so that no two men are sitting together.   We know that…

Q: If P(A)=0.32, P(B)=0.16, and P(A | B)=0.625, find P(A and B), P(A or B) and P(B|A).

A: This question is based on Probability formula.

Q: Find the number of permutations of the letters in each given word.   1.ORANGE 2.ELEPHANT

A: We have to find no of ways..

Q: Ramona is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is…

A: Topic- permutations and combinations

Q: Find the following

A: The integration rules used here are  1. ∫fx±gxdx=∫fxdx±∫gxdx2. ∫xndx=xn+1n+1+C

Q: . If n(A) = 30, n(B) = 40, and n(A ∪ B) = 45,find n(A ∩ B).

A:

Q: If  n(A) = 66, n(B) = 16, and n(A ∩ B) = 4, find n(A ∪ B).

A: Givenn(A)=66n(B)=16n(A∩B)=4

Q: If  n(A) = 69, n(B) = 23, and n(A ∩ B) = 3, find n(A ∪ B).

A:

Q: If n(A) = 104, n(A U B) = 141, and n(A n B) = 42, find n(B).

A:

Q: Given that a, b, c, d are consecutive positive integers, such that a <b<c<d,which of the following…

A: Consider that a, b, c, d are consecutive positive integers such that a&lt;b&lt;c&lt;d.   Find the…

Q: Let A={H,T},B={1,2,3,4,5,6},and C={red,green,blue}. Find the numbers.  n(B×B)

A:

Q: Which pairs of numbers have an LCM of 24? Choose ALL that apply. 3 and 8 2 and 12 6 and 4 8 and 6 4…

A:

Q: If n(A) = 57, n(B) = 19, and n(A ∩ B) = 6, find n(A ∪ B).

A:

Q: If n(A) = 104, n(A ∪ B) = 140, and n(A ∩ B) = 46, find n(B).

A: n(A) = 104 n(A ∪ B) = 140 n(A ∩ B) = 46

Q: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

A: Permutation of Multiset: The Permutation of n different objects when n1 objects among ‘n’ objects…

Q: Let A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika}, C = {Hans, Frans}.…

A: The given sets are as follows. A=Dirk,Johan,Frans,SarieB=Frans,Sarie,Tina,Klaas,HenrikaC=Hans,Frans…

Q: If SST = 5,000 and SSE = 550, then the coefficient of determination is Multiple Choice 0.23 0.43…

A:

Q: Let A = { 2, 4, 6, 8} and B = { 6, 8, 10, 12}. Find A ∪ B.

A: A ∪ B = {2,4,6,8} ∪ {6,8,10,12}

Q: If n(A) = 102, n(A ∪ B) = 148, and n(A ∩ B) = 49, find n(B).

A: n(A) = 102, n(A ∪ B) = 148, and n(A ∩ B) = 49.

Q: If P (A) =0.56, P(B) = 0.6, and P(A and B)=0.41, find P(A or B). or

A: We have to find given probability

Q: If P(A) = .75, P(A ∪ B) = .86, and P(A ∩ B) = .56, then P(B) =

A:

Q: If  n(A) = 102, n(A ∪ B) = 156, and n(A ∩ B) = 49, find n(B)

A:

Q: Find the coefficient of variation of the following set: 1.9, 2.4, 5.7, 4.5, 1.9, 8.5, 3.9,…

A: data set 1.9, 2.4, 5.7, 4.5, 1.9, 8.5, 3.9, 7.3

Q: List the integer of the elements of B = {7, V7, –20, 0, –, 1.5, /16 8 55

A: Solution set has four elements as per the given condition Explanation is given below

Q: If n(A) = 101, n(A ∪ B) = 144, and n(A ∩ B) = 49, find n(B).

A:

Q: Let n(A) = 4, n(A ∩ B) = 4, n(A ∪ B) = 10. How many elements are there in B?

A: Given,  n(A) = 4, n(A ∩ B) = 4, n(A ∪ B) = 10