The universal set is U with n(U)= 70, A and B are subsets of U with n(A)= 55, n(B)= 20 and n(A’ intersect B’)= 10. Find n(A intersect B’).

Q: assume that A={6,8,4,g} and B={3,2,8,d,h,g}. (a) n(A×B)= (b) n(B×B×B)=

A: a) Given that A={6,8,4,g} and B={3,2,8,d,h,g}So, A has 4 distinct elements and B has 6 distinct…

Q: Calculate the sample standard deviations of x. [ Calculate the sample median of x using R. )…

A: As per bartleby guidelines we can solve only first three subparts and rest can be reposted. We have…

Q: Find the midpoint of AB if A(-3, 8) and B(-7, -6)

A:

Q: Create 2 sets, one linearly independent and one linearly dependent, by replacing the x with a…

A: Step: 1 Linearly Dependent: - A set of vectors is called linearly dependent if at least one element…

Q: t U=(-5,9) be universal and set A=(-3,4)  B=(-1,6) , D=(0,8) Find the following: (i)(AnB)' (ii)BuD'

A: We can solve this question with the help of number line: Given set  U=(-5,9) A=(-3,4) B=(-1,6) And…

Q: A = Acosx + Bsinx + 1 and B = -Asinx + Bcosx Then, what is the A, B ?

A: The detailed solution is given below  Thank you

Q: Given F(A, B, C, D) = A'B'C'D' + A'B'C'D + A'BCD' + A'BCD, express F(A,B,C,D) and F '(A,B,C,D) in…

A: Solution: Given that F(A, B, C, D) = A'B'C'D' + A'B'C'D + A'BCD' + A'BCD Now, truth table Row no.…

Q: Suppose X~ Unif (a, b). Show Vark) = (b-a) ² 12

A: Solution-: Given: X→U(a,b) We want to show Var(X)=(b-a)212

Q: E. On the right: a. r*ak + r*(-ak) = r*(ak + (-ak)) b. r*(ak + (-ak)) = r*0 c. r*0 = 0 F. So, r*(aj…

A: the last three lines also proves b and c too.

Q: P U 61°

A:

Q: 1-3у 2у - Зу? 1.

A: Given: ∫1-3y2y-3y2dy

Q: If A = {(x, y): (2, -2), (4, -1), (6, 0), . . .}, complete the rule for set A. y= 1/2x - 3 -1/2x -…

A: Observe the given pattern of set A then complete the rule.

Q: [1 1) If A = 3 15 2] 4 6] B = [-3 -21 -5 314 4 253 3. [P 91 Find: D = r s tu

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Let u= and v= identify 3u+v???

A: We have to identify 3u+v for the given vectors: u=2, -3 and v=4, -1. Finding 3u: 32, -3=6, -3

Q: Two points that lie on the line 5x-3y = 15 are (3, 0 O (5, -3) O (5,3) O (0,5) 0 (0, -5)

A:

Q: 28) 28) -4 < xs -2 A) (-4, -2) B) (-4, -2] C) [-4, -2) D) [-4, -2]

A:

Q: be the sets B1={u1=(-3,0,-3),u2=(-3,2,-1),u3=(1,6,-1)} B2{v1=(-6,-6,0), v2=(-2,-6,4),v3=(-2,-3,7)}…

A:

Q: 5) For each + ive integer i, where i is equal to three, then find the union and intersection of…

A: 5 Given that Ai=x∈R|−1i&lt;x&lt;1i=−1i,1i. a We have to find the A1∪A2∪A3 and A1∩A2∩A3. Here,…

Q: Working on Set operations and Ven diagram Help needed to understand this problem: If n(A)=28,…

A: To determine the number of elements in the set A' union B using the given information.

Q: Let u = and v = Find each quantity: a) (u)(v)  b) (u)(u)  c) (v)(v)

A: Given: u =&lt;4,-3&gt; and v =&lt;-2,7&gt;

Q: Suppose u = (4, 3, 0), v = (−1, −5, 5) and w=(5,-4, 0). Then: ú.v= u.w= v • w=

A: According to the Bartleby guidelines we are suppopsed to do the first three subparts of multiple…

Q: Find the missing values under each condition - A) (-3,-1), (x,7), d=10 B) (2,4) (7,y), d=13 C)…

A:

Q: How many possible ways are there in arranging a red ball, a blue ball, and a green ball in a…

A: We have 3 types of balls ( Red, blue and green) so the number of ways of arranging them is 3!. Now,…

Q: Consider two sets A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}. Find: (a) A U B (b) A ⋂ B (c) A'…

A:

Q: Enumerate {a, b} → {1,2,3).

A: Given information:The objective is to write the enumeration of the sets.Concept used:Enumeration is…

Q: a,b,x,y, are negative numbers a⁵ + b⁵<= 1 x⁵ + y⁵ <= 1 prove that a²x³ + b²y³ <= 1

A: Given information: The numbers a,b,x and y are negative numbers. The conditions are a5+b5≤1,…

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”.