If sets A and B are disjoint and |A|=7and |B|=8, what is |A∪B|+|A∩B|?

Q: If A and B are any two sets, then A ∩ (A ∪ B) is equal to a. A b. B' c. A' d. B​

A: It is given that A and B are any two sets. It is required to obtain the value of A∩A∪B.

Q: If P(A) = 0.5, P(B)= 0.40 and P(A U B) = 0.70, find P(A/B) and P(A U B) where A is the complement of…

A: HERE GIVEN, p(A) = 0.5 p(B) = 0.40 p(A ∪ B) = 0.70

Q: Given U = {x | x∈Z, 5≤x≤20} and its three subsets: A = { a | a∈U, a is even}, B = { b | b∈U, b≤10} ,…

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Q: 4. Determine the number of possible routes from A to B if you travel only south or cast. a) A B b) A…

A: Solution :-

Q: If (x + iy)i = a + ib , where x, y, a, b e R , evaluate y a elect one: O a. - a? + 2b² O b. -2a? –…

A: given x+iy13=a+ib

Q: For the three sets A, B, and C,  A-(BUC) will be equal to,

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Q: Is it true that the rank of [B AB If not, under what condition will it be true? A"-B] equals the…

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Q: 7 and N{B} 3 and N(A U B) = 10, how are If N{A} A and B related?

A: Given: NA=7, NB=3, NA∪B=10 We know that if NA+NB=NA∪B then there is no common element exist in Aand…

Q: If w = e-(r*+s"), r = uv, s = u + 2v, find -

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Q: Let A and B be sets. 1) If |A| = 10, |B| = 24, and |A n B| = 4, then |A U B| = || %3D 2) If |A U B|…

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Q: Which of the numbers x, y, z, or w must equal 0 if A and B are disjoint sets? A B y 11:5 10/ .....…

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Q: Let A, BC X. Is Bd(A) C Bd(B)?

A: We want to check for A, B ⊂ X Is Bd(A) ⊂ Bd(B) true or false.

Q: Given that n(S) = 44, n(A) = 15, n(ANB) = 7, and n(A u B) = 24, then n(B) = %3D %3D %3D

A: Probability is defined as a number between 0 and 1 representing the likelihood of an event…

Q: A set D C RP is disconnected if and only if D = EU F, where E, F are non-empty and EnF= ø,EnF = Ø.

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Q: 3. List all the entries of the following sets: a) A = {a la € Z+ and -11 < a ≤ 11} b) B = {b | b =…

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Q: If X and Y are two sets such that X ∪ Y has 18 elements, X has 8 elements andY has 15 elements ; how…

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Q: Let a2 + y2 + z2 = 3ryz, then which of the following is 一

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Q: Suppose 60 percent of the customers at pizza palooza order a square pizza, 70 percent order a soft…

A: Two events A and B are said to be independent, if P(A and B) = P(A)P(B).

Q: What is the size of the union of the sets A and B, if |A|=|B|=12 and |ATT B|=10?

A: The sets A and B,A=B=12 and A∩B=10

Q: Given v (2, -9) and w = (7,-8), what is 2w - vv

A: Given v=2,-9 and w=7,-8

Q: If y=a-5.* and z=a-bs.y , then x is equal to

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Q: "Prove that the value of x for the 2 × 2 contingency table a b is given by N(ad-bc)?…

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Q: A computer-consulting firm presently has bids out on two projects. Let A= [awarded project 1] and B=…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: If X and Y are two sets such that X has 40 elements, X ∪ Y has 60 elements and X ∩ Y has 10…

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Q: If fx,y) = y'e e"+ then f,,(x.) =2y + Select one: True O True O False

A: Given   f(x,y) = y2e2x + (y3/x2)

Q: Let a, b, c € Z. If c divides a+b, then e divides both a and b.

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Q: Does the set S = {(1,2, 3), (0, 1, 2), (-2,0, 1)}span R³? %3D O Yes O No

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Q: If p(A) = 0.11, p(B) = 0.15 and p(A and B) = 0.26, are A and B independent? %D

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Q: Suppose 50 percent of the customers at Pizza Palooza order a square pizza, 70 percent order a soft…

A: Solution: Let A be the event that customer at Pizza Palooza  order square Pizza. P( A) =0.50 B be…

Q: AT MOST two pairs of sneakers?

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Q: Find the intersection of the sets. {r, e, a, l}∩{l, e, a, r}

A: Given:A=r,e,a,lB= l,e,a,rIntersection set:The set containing all elements of A that also belong to…

Q: A universal set U with 48 elements has been partitioned into three subsets, A, B, and C. If B is 5…

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Q: 2. If A = {a,b,c}, B = {1,2,3}, C = {x}, and D = 0, list all of the elements in each of the…

A: We have to find Cartesian product of part (c) and part (d)

Q: If A = B and C = D, then A nC = B n D True False

A: Hi! Thank you for the question As per the honor code, We’ll answer the first complete question since…

Q: AS B iff (B n C) U A = B n (C U A)

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Let A, B, and C be three sets. If A⊕C=B⊕C, show that A=B

A: Solution : Given that A,B and C are three sets. And the Direct sum of set A and C is equals to…

Q: 23. For sets A and B, if A C B, then B° C A°. F 24. For sets A and B, (A U B)°= A°UB°.

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Q: If o = 3 x'y, y = xz2-2 y, evaluate V ( V o. V y).

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Q: If n(A ∪ B) = 2n(A), then A and B are equivalent sets.

A: Here use definition of equivalent set

Q: Find x, y, and z if (3 · 5) (2 3) (2 5) 2" 3° . 5

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Q: Is the following set connected: V = {(x, y) € R² | 1<x² + y² <4}? Briefly justify your answer.

A: Connected set:- If any two points of a given set can be joined by a continuous polygonal arc such…

Q: If a + 0, the degree of ax"y" is

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Q: If X and Y are two sets, then X∩(Y∩X)c equals a. Ø b. Y c. X d. X∩Yc

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Q: Say the football team F, the basketball team B, and the track team T, decide to form a varsity club…

A: It is given that the number of members in team F ‘n(F)’ is 25.

Q: If F =, and S: r=, Osusa/2,0<v<2. Then S[ F•nd4 is equal

A: This is the problem of surface integral use method to solve

Q: b) The number of elements of the set A = {{{Ø}}, {{Ø}} n {Ø}, {Ø} U {Ø, {Ø}}} equals

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Q: Let A = {James, Dave, Cliff, Lars} and B {James, Kirk, Jason, Lars}. What is %3D n(P(A n B))

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Q: 2. Suppose A and B are independent. If Pr[A ∪ B] = .6 and Pr[A] = .4, find Pr[A ∩ B Compliment]

A: Given that, P(A U B) = 0.6 P(A) = 0.4