onditions, if any, must be set forth in order for a + b to be equal to n(A U B)?

Q: If P(A) = 0.33%, P(B) = 0.79%, and A and B are mutually exclusive, what is P(A ∩ B)?

A:

Q: Show that the statement If n E N and a E Z*, then [Q(Va): = n is false.

A:

Q: ØC (0} (0) c Ø (0) € (0) Ø C(0) 10 C (야)

A: Which of the following statements is true?

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

A:

Q: Negate each of the following statements. a) ∀x ∃y ∃z, q(x, y, z)] b) ∃y ∃x ∀z, p(x, y

A: Here we have to express the negation of the given statement:   The negation rule for the single…

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: 3. Determine whether the following statement is true or false. (r + 1)² = (r +1)² r=1 r=0

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Q: a. With no restrictions b. If each couple is to sit together? c. If all the men sit together to the…

A:

Q: Suppose ?:ℝ→ℝ where ?(?) = ⌊? / 2⌋.  a. If ?={?|1≤? ≤6}, find ?(?). b. If ?={3,4,5}, find ?−1(?).

A: Consider the set A=x:1≤x≤6 and B=3,4,5.  The function Fx be x/2 is defined on ℝ→ℝ.

Q: Which of the following expressions is NOT equivalent to ((Y \ (Z \ Z)) \ (X UY))? (Please note -…

A: Given, the expression                                We have to check that which one gives the same…

Q: The complete solution to AJ = is %3D -319 8 + C 3 -7 | 1 -(: :) If A = what is 6? d

A:

Q: Find the solution sets using U-Form. а. 20х4 — 25х2 + 5 3D 0 b. 5х3 3 4х6 + 9 4()? + 19 () –- 5 = 0…

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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: 4. A student asserts that valid reasoning? = O because tends to zero. Is this n=1

A: Consider the given:limn→∞1n2=0

Q: 1.2 Determine if the following statement is true or false. Motivate your answer. If Re(z) > Re(w)…

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Q: If P(A) = 0.45, P(B) = 0.41, and P(A or B) = 0.86, are A and B mutually exclusive? yes or no?

A:

Q: Which of the following statemens is equivalent to the statement Vq))?

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Q: Disprove by Contradiction If a,b,c ∈ ℕ, then at least one of a-b, a+c and b-c is even.

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Q: 5 15 Vhich of the following is NOT equal to the statement 3 3 В. D.=4 9. 5 9 15 15 A. 5 F15 С. 15 B.

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Q: ' Suppose that you are given the following logical statement - A V B + ¬ C ^ D on our discussion of…

A: Given logical statement, ¬A∨B↔¬C∧D Firstly, The order of operation is to be determined.

Q: 1.Determine if the following statements are mathematical or not. Provide solution.

A: Given that:

Q: Which of the following statement is not correct?

A: Exclusive or or exclusive disjunction is a logical operation that is true if and only if its…

Q: 2. Prove the following statement directly. V a, b, c e Z, if a | b and a c, then a | (7b + 4c)

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Q: IfΔΑBC~ ΔΖΥ, m4Α-50, and m4C-30, what is m/X ? Which statement is not always true when ΔΑBC ΔΧΥΖ 1)…

A:

Q: Show that the following two sentences are not equivalent in FOL : ¬∀x(A(x) → ¬B(x)), ∀x(A(x) →…

A: Introduction: In logical reasoning, two statements are referred to as logically equivalent if their…

Q: Is the following statement true or false and why: If we do not reject H0, then we conclude that H1…

A: The given statement is “if we do not reject H0, then we conclude that H1 is false.

Q: Given the following sets, what is A U B?  U={x│0≤x≤20}         A={2x│0≤x≤5}…

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Q: IS the following a true statement (2/3)^-3 = (3/2)^3

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Q: V=R Prooflthat Nisavectors sPoe

A: Given that V = ℝ+ Operations + and · defined as, x + y = xy rx = xr, where x,y ∈V; r ∈F To prove: V…

Q: Consider, C = {x: x = 3n, 1 ≤ n ≤ 4, n ∈ N} D = {x: x = 2n, 1 ≤ n ≤ 6, n ∈ N} What is C ∪ D?

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Q: ii- Given the following Premises: ¬A → (CAD) A → B ¬B Prove: C.

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Q: If *C, =K "C, , then K is n-1 r+1 b) п+1 c) п-1 d)

A:

Q: Which of the following statements is correct?

A: Given,         f(x)=x2-4x2-5x+6

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

A:

Q: = 8 and NP = 10. Which of these must be true? b. MP 2 c. MP > 10 d. MP < 10

A: Given: In a ∆MNP, MN=8NP=10……1

Q: 3. Show by an example that the following statements are false. i. a - (b c) = (a - b) (a - c) for…

A: ( i )  a - (b • c) = ( a - b ) • (a - c )  fo all a , b , c belongs to real number R   We show that…

Q: If P (A) = 0.3, P(B) =0.6, and P (Aor B) =0.7 are A and B mutually exclusive?

A: Two events are said to be mutually exclusive when both can not occur simultaneously.  A and B are…

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: C.

A: Arc angle is twice of intercepted angle.

Q: LetP(A) = 0.20, P(B) = 0.80, andP(A∩B) = 0.16. Are A and B independent? Justify your result…

A:

Q: 1. Identify whether the following statements are true or false. a. 8| 20 b. 3 15 C. 6| 18

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 1- If -14 b. -6 <y <-4 d. y<6 e. 0<y - 4 < 2

A:

Q: 7. Establish for A is m × n and B, C are n x p, that A(B+C) = AB + AC

A:

Q: If with n(F)=25, n(B)=12, n(T)=30, we have n(F∩T)=6, n(T∩B)=4, n(F∩B)=3, and there are 2 members who…

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

Q: Is the following statement true or false?

A: Here,  we have to choose true or false statement The given statement is #=-#

Q: Answer the following muitiple-choice awestion belonw algubra 200 2 1- 402 -200 15 equal to: Al (2 B)…

A: We need to find product of matrix.

Q: Which of the following is equivalent to the statement "If any book that any member has checked out…

A: The statement given is as follows: "If any book that any member has checked out is overdue, that…

Q: O V36 should be at 7, and 36 should be between 3 and 4 O V36 should be at 6, and V36 should be…

A: Answer : Option B i:e ; √36 should be at 6 and 3√36 should be between 3 and 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