Let A,B,C⊆U. If n(U)=65, n(A)=24, n(B)=28, n(C)=32, n(A∩B)=15, n(A∩C)=7, n(B∩C)=11, and n(A′∩B′∩C′)=9, find n(A′∩B′∩C).

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A: This question is related to vectors, we will solve it using given information.

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A: (a) Find u→+v→ as follows: u→+v→=-1,2,4+-3,5,2          =-1+-3,2+5,4+2          =-4,7,6

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A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

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A: Consider the provided question, The given rectangle with vertices is drawn as,

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Q: The two open disks B((1, 2); 2) and B((-2, 1); 2) has intersection. True False

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Q: Factory full, if possible. a) 40a b5-85a?b"

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Q: Suppose that u × v = ⟨1,0,4⟩. Find (2u−3v) × v.

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Q: Assume that n(U)=130, n(B′)=62, n(A∩B′)=31 , and n(A∩B)=35. Find n(A∪B):

A: Given that n(U)=130, n(B′)=62, n(A∩B′)=31 , and n(A∩B)=35.   From n(B′)=62 we…

Q: Assume that n(U)=115n(U)=115, n(B′)=65n(B′)=65, n(A∩B′)=32n(A∩B′)=32, and n(A∩B)=19n(A∩B)=19 Find…

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A: Given A = 1, 2   and   B = a, b, c

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A: Since you have asked a question with multiple parts in a single request, we would be answering only…

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Q: If u = 2i + 5j; v = i - 2j; w = 3i - j, so u + v * w is:   -3   3   6 -6  9

A: Given that: u = 2i + 5jv = i - 2jw = 3i - j To find: u + vw

Q: Assume that (U)=110, n(B′)=55, n(A∩B′)=25, and n(A∩B)=27. Find n(A∪B)

A: For any two events A and B, it is known that n(A or B) = n(A)  + n(B) – n(A ∩ B).

Q: Suppose u = (4, 1, 1) and v = (–4, −1, −3). Then: u + v= Ա υ V= u= 2u= -1/v= 7u - 6v=

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Q: Pretend u x v = (0, 3, 2). What is (6u + 3v) × u? A) (0, 18, 12) B) (0,0, 0) C) (0, –9, –6) D) (0,…

A: To find the value of the given cross vector.

Q: Let A={2,y,z} and B={3,x,z}. How many distinct elements are in (A×B)∩(B×A)

A: Given, A={2,y,z} B={3,x,z} How many distinct elements are in (A×B)∩(B×A) ?