Find the following: (A U B) n C   A={4,5,6}, B={4,6,8} and  C={6,7,8,9,10}

Q: Given a = (5, 10) and p = (1, 3), find – ả + 4p. 10 - a + 4p =

A: a→=<5,10> and p→=<1,3>

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

A:

Q: Find the missing value of the following combination 3.C(n,3) = 35 4.C(10, r) = 120 5.C(n,2) = 78

A:

Q: State the name of the property. (3 . 7) + (4 . 7) = (4 . 7) + (3 . 7)

A: The given statement is equivalent to a+b=b+a This is a commutative property. Here a=(3 . 7) and b=(4…

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: abc is different combination from bca

A:

Q: If n(A) = 42, n(B) = 16, and n(A ∩ B) = 4, find n(A ∪ B).

A: From the given information,   n(A) = 42, n(B) = 16, and n(A ∩ B) = 4   The objective is to find the…

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

A: a). b).

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: 1. r()=(61,7r,t') 6t, 7t', t)

A:

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) =

A:

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

A:

Q: Use the union rule to answer the question. If ​n(A)=8​, ​n(B)=9​, and ​n(A∩​B)=4​, what is ​n(A∪​B)?

A: Formula: n(A∪B) = n(A)+n(B)-n(A∩B)

Q: GIVEN: Z, = 3ej(7/6) z, = 2e(#/4) FIND: 1.) Z,3

A:

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: Find the values of c1, c2, and c3 so that c1 (4, –6, 2) + c2(-4, 3, 0) + c3 (-2,0, 0) = (-4, –3,…

A:

Q: IF n(A) = 108, n(A ∪ B) = 156, and n(A ∩ B) = 45, find n(B).

A: Explanation of the answer is as follows

Q: find A and B if C=24°, A=a, and B=2a

A: given,∠C=24°∠A=a∠B=2ato find, the angles of A and B

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

A: Since you have posted multiple sub parts, as per our policy we will answer first three sub parts.…

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: D. Select the correct response: x 2, y = 5 x = 5, y = 3 X = 5, y = 2 X = 4, y = 2

A: X = 5 and   y  =3   Option 2nd is correct.

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: Compute the following. (a) P8, 3. (b) C8, 3. (c) P5, 5. (d) C6, 6.

A: From the information, given that The total number of observations is 8 The number of success is 3.…

Q: Compute the following. (a) P6, 2. (b) C6, 2. (c) P6, 6.

A: P(n,r)=n!n-r!C(n,r)=n!n-r!.r!

Q: Find the missing value of the following combination. 1. C(n,4) = 15 2.C(8, r) = 28

A:

Q: In AABC, m2C = 90°. Find: a) c if a = 8 and b = 6 b) b if a = 6 and c B

A: Given In ΔABC To Evaluate

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

A:

Q: : Find whether A and B are independent in the following case : (AB) = 256 , (a.B) = 768 , (Aß) = 48…

A:

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

A:

Q: Compute the following.(a) P6, 3. (b) C6, 3. (c) P12, 12. (d) C13, 13.

A: Permutation: The number of different arrangements of ‘r’ elements from a set of ‘n’ elements is…

Q: Find, if possible, A + B, A - B, 2A, and -3B.

A: Given: A=5-213  ,  B=41-32

Q: Round your answer to the nearest tenth, 13) (-3, –3), (-6, -8) 14) (-6, -8), (-2, –5) JF6F 3)+(8-3)…

A: Since you have posted a question with multiple sub parts, we will solve the first three subparts for…

Q: Find, if possible, A + B, A - B, 2A, and -3B.

A:

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

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

A:

Q: If n(A ∪ B) = 99 and n(A) = n(B) = 65, find n(A ∩ B).

A: n(AUB) =n(A) +n(B) -n(A intersection B)

Q: For X, = 27, n, = 80, X, = 26, and n, = 65, findp and q.

A:

Q: Find, if possible, A + B, A - B, 2A, and -3B.

A: Given, A=0-2754-3, B=840014

Q: Compute the following. (a) P8, 4. 1 (b) C8, 4. 2 (c) P3, 3. 3 (d) C4, 4. 4

A: Permutations and combinations are given.

Q: Compute the following. (a) P6, 3" (b) C5, 3- (c) P10, 10' (d) C11, 11"

A:

Q: Which expression repres Od-f Pf-d

A: we know that Pythagoras theorem is  hypotenuse2= perpendicular2+base2 Given hypotenuse is f,…

Q: Find, if possible, A + B, A - B, 2A, 2A - B, 1 4 -1 5 1 10 5 -1 4 2 B = -3 6.

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: Express (C) as a permutation. а. b. 9P5 C. P4 d. 9P4 P3 e.

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: In the diagram below, B, C, and D are all on the same line, ZBAC = 24°, and AB = AC = CD. If ZADC =…

A: In Triangle ABC AB = AC Then  <B = <C       (because if two sides are equal then their…

Q: Find, if possible, A + B, A - B, 2A, and -3B.

A: A=21 and B=3-15

Q: Find the following combinations ,C, (a) n= 8 andr=2. 8C2 (b) n=8 and r D1. BC1 (c) n=8 and r 6. 8C6…

A: The formula for combination is

Q: Determine A and B in terms of a and b.

A:

Q: When using the general multiplication rule, P(A and B) is equal to P(A|B)P(B) O P(A)P(B) O P(B)/P(A)…

A: General multiplication rule: For two events A and B, the joint probability that both events will…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.