If n(A) = 46, n(B) = 21, and n(A ∩ B) = 6, find n(A ∪ B).

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

A: The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A…

Q: GIVEN: 1 0 3 1 A = 4 2 4 1 1 3 1 0 2 -2 FIND: A?

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Q: It is given that a(bx² + cx) + bc = 20x² + 24x + 30, where a, b and c are positive integers. Find a…

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Q: | V1 – 47² dx.

A: We know that sin2(u)+cos2(u)=1   ⇒ 1-sin2(u)=cos2(u) cos2(u)=121+cos(2u) sin2 sin-1y = 2y1-y2

Q: Given P(A)=0.4P(A)=0.4, P(B)=0.66P(B)=0.66 andand P(A∩ B)=0.374P(A∩B)=0.374,  find the value of P(A…

A: Probability is the measurement of event occurrence. It take values positive value and does not…

Q: Use the union rule to answer. If n(A) = 9, n(B) = 10 and n(A N B) = 3, what is n(A U B)? ... n(A U…

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Q: Prove : (A-B)n C =(A n C) -B

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

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Q: Use the union rule to answer. If n(A) = 6, n(B) = 10 and n(A N B) = 4, what is n(A U B)? n(A U B) =

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Q: If n(AUB) = 92 and n(A) = n(B): = : 69, find n(A n B).

A: To find the number of elements in the intersection of sets A and B, denoted as n(A∩B), given that…

Q: If P(B) = 0.30, P(A ∪ B) = 0.65, and P(A ∩ B) = 0.15, find P(A).

A: Given;           PB=0.30PA∪B=0.65PA∩B=0.15 Find; PA If A and B are two different events then…

Q: Decide if the following n can be expressed as the sum of squares. If it is possible then provide…

A: This problem is based on the sum of two squares theorem. We first state the theorem and then give an…

Q: If P (A) = 0.57, P(B) = 0.5, and P (A and B) = 0.48, find P (A or B). P(4 or B) =O

A: We have given that,  A and B are two events with P(A) = 0.57,          P(B) = 0.5 and P( A and B) =…

Q: Is this a r

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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: 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) = 109, n(A ∪ B) = 160, and n(A ∩ B) = 42, find n(B).

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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, if possible, (a) A + B, (b) A − B, (c) 2A, (d) 2A − B,and (e) B + 1/2 A.

A: Consider, Thus,

Q: If n(A U B) = 96 and n(A) = n(B) = 69, find n(A n B).

A: Let A, B be sets and n(A), n(B), n(A∪B) be the cardinality of the sets A, B and A∪B respectively. It…

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

A:

Q: Suppose that A = {b, c, d} and B = {a, b}. Find: Q6.1 (A × B) N (B × B)

A: A=b, c, d  and  B=a, b Now, A×B=b, a, b, b, c, a, c, b, d, a, d, b&B×B=a, a, a, b, b, a, b, b

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

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Q: (a + b) (a+b+c) = a² + 2ab + b² + ac + bc Select one: O True O False

A: Solution-

Q: If P(A) = 0.5, P(B) = 0.8, and P(A or B) = 0.9, find P(A and B). P(A and B) =

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