If P(A)= 0.7 and P( B)= 0.6, find P (AUB) if: A and B are where Be is complement of B (not B) independent,

Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A: We know that, Total profit = Total revenue - Total cost

Q: Find the following products for p = (7,0, 2), q = (-2,2,-2), and r = (0,2,-3). a. (r p)q b. |p|l

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Q: Let X and Y be independent, and let X be N(10, 1) and Y be N(11, 1). PIX >Y),

A: From the given information, X and Y are independent random variables. Let X be a N(10, 1) variable…

Q: P(A) = 0.8; P(B) = 0.7 and P(A∩∩B) = 0.6.  Determine P(A∪B).

A: Given problem Given that   P( A ) = 0.8 P( B ) = 0.7 P( A ∩ B ) = 0.6  P( A ∪ B ) = ?

Q: Compute A?x and A3x the correct way: ´1 0 () 0 1 A = 3 0 2 0 1 1 1

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Q: Fird the inversc trons frm of ; F (5) = sz+ 25

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Q: 1.) Find v(t) 4+ 37 2-

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Q: Let z = x +3xy+ 2y . Find and

A: Given function is z= x^2 +3xy +2y^2

Q: B CA writen as .A (V x)(x EB → EA) .B (3x)(x EB → x EA) .C (Vx) (xEB+xE A)

A: A set 'C' is said to be subset of set 'D' if every element of  set 'C' is contained inside set 'D',…

Q: Q1) Find dx for: 2 - (x? + y)? + (x - y?)? = x +y3

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Q: P(A)=0.02 and p(C)=0.07 determine p(A u C), given that A and C are independent

A: It is given that:And, A and C are independent events.

Q: Find(rr) r d d/ (1₁•1₂) if x = ( 2 ₁ √ ². e²¹ ) and r₂ = (7, In (2),1).

A: Solve the following

Q: b) Suppose x # 2. Find dif dx In y = In (x - 2)² √x² +1

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Q: LET fCe) =12-31.. If Find: (a) fCu) え40 (b) ) fcn) it n z5

A: topic - functions

Q: What’s (E∩F)×(F∪G)

A: We are given that E = {1, 2}, F = {2, 3} and G = {3, 4}.Now, E∩F = {2} and F∪G = {2, 3, 4}.

Q: Find d = gcd (270, 105) and hence find integers x , y such that d = 270x +105y .

A: GCD stands for greatest common divisor for two or more numbers.

Q: Let f (x, y, z) = -12x? – y + 5z?. Calculate Vf (0, 5, 6). %3D (Write your solution using the form…

A: Solution

Q: X1 Xi + 2x3 , X1, X2, x3 ER – 4.x2 T: R³ → R², T x2 X3 - x3 ||

A: So first we prove that the given transformation is linear

Q: Given that D/d = √f + p/f – p, express p in terms of f, d and D

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Q: (2+2x) e4+2² dæ her tonic

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Q: Q1: Determine if a +b+c+d=10 where a, b, c, d ER are such that: 6x³+3x²-5 -1 2a x-l + 3b x+1 + cz…

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Q: Show that (AB)T and BTAT are equal.

A: Now,

Q: 3 | (16t³ – 9t² + 7)dt Evaluate:

A: Given problem:-

Q: Let x Ry be defined as follows: Ry means that 2 | (x - y). Select the true statements 6R3 10R5 6R6…

A: We have to select true statements using given data.

Q: (AUB) = ACNBC. Show that P(ACNBC) = 1- P(A) - P(B) + P(ANB)

A: P(Ac∩Bc)=1−P(A)−P(B)+P(A∩B)