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

Q: 14. If- = 5%, then ба %3D 56 (A)6% (B) 25% (C) 30% (D) -%

A: Given; if a/b=5% then find 6a/5b.

Q: If AB = A and BA = B ,then show that A2 = A, B2 = B

A:

Q: Given B={c, o, d} C={c, d, o} Which of the following is FALSE? OBCC OCCB OC B B = C

A: Solution:-

Q: If an item is false, you must state the item below and then provide a brief explanation or…

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Q: Which are true?

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Q: If P(A) = 0.35, P(B) = 0.45 and P(A and B) = 0.25 then P(A |B) is?

A:

Q: if n(A) = 6, n(B) = 8 and n(A∪B) = 14,which of the following is true? A.B⊆A B.A∩B=B C.A⊆B…

A: Please refer the attached image for complete solution.

Q: If P(A) = 0.3 and P(B) = 0.6, what is P(A or B) if A and B are independent? 0.72 0.90 0.18 0

A: It is given that P(A) = 0.3 and P(B) =0.6.

Q: If m21 = m22 , which of the following statements is true? m O A A k|li B. n|| m C. E|| k D. ||m

A: Given,

Q: If ax + by +c=0, and b # 0, then y =-ax – —ах— с/Ь %3| O True O False

A:

Q: Cas If A-[? ] and 8: [ ). (AB)'= é' Ā! 2 3 Show that B A

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Q: .

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Q: Suppose B = (9, 2) and AB = (11, 4). Then A = %3D

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Q: Prove or disprove: if a, b, c e N, then a2 - 6 + 4c + 2.

A: a2-b2≠4c+2 we have to prove this relation in three cases like a<b,a>b and a=b

Q: If P(A) =0.7, P(B) = 0.1 and A and B are mutually exclusive, find  P(A and B)

A: From the provided information, P (A) = 0.7, P (B) = 0.1

Q: If A C B and BC C, then A C. True False 4 If A C B and B C C, then A C. True False

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Q: ", if C C B – A, then ANC=0.

A:

Q: The compound statement A v - (A A B) is always * True O False

A:

Q: If p, q and r are all FALSE statements, which of the following is TRUE? O a. ~p+ (q V r) O b. ~q→…

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Q: If the P(A)=0.4 ,P(B)=0.2,P(A | B)= UB)-0,5 Than P(B/A) is :0 :0 C NIO

A: Option D is the answer.

Q: Can part d and e be answered as well. They are also true or false

A:

Q: D = 3 1 50-4 -4 5 3

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Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: In(a³b') (c) In(bc) - 3 1 а (d) (In…

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Q: IP det(AB)= det(BA ) then AB= BA O False True

A:

Q: If Ac B and A c D, then B c D. True False

A:

Q: If A\B CB, which of the following may be true? a ACB b. A = 0 c. ANB = 0

A: Given

Q: If c > 0, Ju| = c is equivalent to u = or u =

A: Given:              u=c,    c>0 use modulus property:           x=x if x>0x=-x if x<0

Q: IP det(AB) = det(BA) then AB= BA %3D O False True

A:

Q: If () ), then P(r, 2) = %3D O 240 O 320 O (120 V- O (16! V

A: Given data,xC10  =xC6P(x,2)=?

Q: Which of the following is equivalent to (p^ (p → q)) → q? a) True b) False c) Contradiction b and c

A: Let's find.

Q: If P( A) = .40, P( B) = .30, and P AOB) = .15, then P( A/ B) is %3D %3D .375 .12 .50 .045

A: Its conditional probability P(b)=0.30 P(a and b)=0.15

Q: If vy 3x P(x, y) is true, then 3x Vy P(x, y) is also true O Yes O No

A:

Q: 2. a+b+c=c+b+a is true because of

A:

Q: Qz IF A-(-2 4) B=(% 4) 2 3 -2 4 Prove! CA *B)*C A*(BaC)

A: Here, the given matrices are: A=-24, B=5104, C=23-1-241

Q: If In a = 2, In b = 3, and In c 5, evaluate the following: a4 (a) In (b) In Va'b'c :

A: Given that  lna=2,lnb=3 and lnc=5 To find the following logarithmic functions

Q: if fe will is is true and steve will dance is false, which of the following statement is false?…

A:

Q: Given: If X, then Y. If Y, then Z. Y is true. So:   a) x is unknown, z is unknown b) x is…

A:

Q: If A = B = a -: - -24 – 38 = -3 -81 - 2A - 3B = %3D 13 -31 true O False O

A:

Q: If A - B and B = C, then A ~ C. True False

A: Given that A~B, And also given that B=C Then obviously that means B~C Which implies that A~B~C

Q: If [3-2 fro] dse =15 Then

A: Evaluation of the definite Integrals,   by using properties of the definite Integral

Q: If nana"--) 2anx" = 0, then az = n=1 n=0 (A) ao (B) ao (C) ao (D) ao (E) ao

A:

Q: If P(A∩B)=0.28, and P(A|B)=0.4, then   P(B) = ?

A: Solution: From the given information,

Q: Let A = {1,2} and B = {3,4}. Prove or disprove the statement: “ If C = A × B , then |C| = 4 "

A: We will use the concept of multiplication of 2 sets and then we will find the cardinality.

Q: Let x' = K, then w(x,.x2) = e?r -1 3 5 2 Select one: O True O False

A: Given: To check if the given statement is True or False, i.e., to check if the given expression of…

Q: If det A 3, then det(2A) 6. O TRUE O FALSE

A:

Q: 3) If dla + b, then dla or d\b. a) True b) False D a) True O b) False

A: 3 We have to check whether the given statement, "If d|a+b then d|a or d|b" is true or false. Counter…

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

Q: Which of the following is equivalent to (p A (p→ q)) → q? a) True b) False c) Contradiction b and c

A: To find which of the option is equivalent to p∧p→q→q

Q: Say we are given that the statement p^ (p → q) is true. Can we deduce the statement q?

A: By using rules of inference on the given statement we deduce the conclusion q.

Q: If vy 3x P(x, y) is true, then 3x vy P(x, y) is also true O Yes O No

A: Given statement is If ∀y ∃x P(x,y) is true, then ∃x ∀y P(x,y) is also true.