Find P(C | D) Find P(D | C) Are C and D independent? O Yes O No

Q: The product of2r - 3 and x +4 can be expressed as A) 2r2 +x - 12 C). 2r2- 12. D 2r2 + 5x - 12 B)…

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Q: Given u x = (3, 2, 3), find (ū – 57) X (+20)

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Q: answer

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Q: 2 4 3 S² S²² x³y^¹ dxdy = f₁²y³dy ſ^²^ xªdx 23 3 Select one: O True

A: Given statement, ∫12∫34x3y4dxdy=∫12y3dy∫34x4dx The objective is to determine whether the statement…

Q: Which poir represents W Z +++ -6-5 -4 A W B X

A: According to the given information, it is required to tell which point on number line represent…

Q: Suppose that you have 9 green cards and 5 yellow cards. The cards are well shuffled. You randomly…

A: Given, Green cards=9 Yellow cards=5   Let,  G1= the first card drawn is green G2= the second card…

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: -1 1 Then, ||A|| = 1 -2 Let A= Select one: а. 3 b. 2 C. 4 d. 1

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Q: Q5 1 Find proj; (w) where w= and v = 2 -2 3

A: Solution:Given     w=10-2     and     v=123To find:projvwFormula:projvw=P wwhere P=v vTvT v

Q: The following data is representative of that reported in an article on nitrogen emissions, with x =…

A: The following data is representative of that reported in an article on nitrogen emissions.Let   and…

Q: Given v = (3, –7) and w = (-2, 5), find a. v• w b. w• v c. v• v d. |||

A: Given, v=3,-7 & w=-2,5 To find, a. v.w b. w.v c. v.v d. v

Q: ate (8-3) 0- dg, where both c and ß are integers. -k (g-ß)²

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Q: Let ä = = (8,1, –4) and b = (5,-2,1). Find à + b, 4à + 2b, là\, and là – b\ %3D

A: a vector = <8,1,-4) and b = <5,-2,1>  Find , a+b, 4a+b, |a| , |a-b|

Q: 147P6 is equal to . Bab 36 O True O False

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Q: 9) Use the situation to answer the question. The sides of a triangle are represented by (3s − 1),…

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Q: The solution is (-2,-3).

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Q: x³ + 27 dx . x+3 Evaluate x3 +9x + C 3 x3 3 +žx²+9x+C 3 x3 + x² – 9x + C 3 2 x3 3 x² + 9x+C 2 3

A: We know that, The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫ax+bndx=ax+bn+1an+1+C And…

Q: (B) = 10 and n(A N B) = 4, what is n(A u

A: n(A U B)=12

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: inn (Q4) = D4 OZ2 O Z2 Z4

A: we have to solve given problem:

Q: 10 (S) (S+3)² = (3) (S+3) ²³ + K₂ (S+3) + K3+ K₁ (3+3)

A: The given equation is 10ss+32=k1ss+32+k2s+2s+32+k3+k4s+3 To find the value of k3 when s=-3 .   The…

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Q: Find the value of K by determines. |1 2 3 0 1 2- |2 1 3 3 4 3 kl

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Q: Q21 If that p(An B) = 0.4 , P(A) = 0.5 and p( B) = 0.8 Then P( A u B) = 0.9 * True

A: Given information: PA∩B=0.4PA=0.5PB=0.8

Q: X- N(5,2). P(X>2) = ?. [Draw a figure]

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Q: Let P(A U B) = .8, and P(A) = .6. Find P(B) assuming A and B are independent! Then determine whether…

A: Given that  P(A U B) = 0.8 , P(Ac) = 0.6

Q: Given C(x,16) D(2,-4) E(-6,14) and F(-2,4) find the value of x, so that CD || EF

A: Given points are  C(x, 16), D(2, -4), E(-6, 14) and F(-2, 4) The slope of a line joining P(x1, y1)…

Q: Find u x v, v x u, and v x v. u = (5, 6, -4) v= (-6, -9, -8) (a) ux v (b) v xu (c) v x v

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Q: P(A) = 0.6, P(B) = 0.4, P(A∩B)= 0.2 a) Find P(A given B)     b) P(B|A)

A: Given data: The given probability of A is P(A)=0.6. The given probability of B is P(B)=0.4. The…

Q: -1 1 Let A= Then, ||A||2 = 1 -2 Select one: а. 8+V45 2 b. 10 + V45 C. 7+45 2 d. 9+45 2

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Q: e (t + 5t- 2)

A: Given, e2tt3+5t-2. The given function is can be written as, e2tt3+5e2tt-2e2t, By applying Laplace…

Q: %3D x2+5 ²+2 In + C Vx²+11 3 + C /11 In O None +

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Q: а b ст Let A = d e fand B [d+2g e+2h f+2i] b |If det(A)=-1, then det(B)- а %3D g _h -3g -3h -3i

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Q: dx Evaluate : 1-

A: Consider the given: ∫dx1−xApply u-substitution:u=1−x∫dx1−x=∫ −2−u+1udu=−2⋅∫−u+1udu

Q: 5 13 Given sine and cose = 12 which of the following can be proven using a Pythagorean identity? 13'

A: sinθ=513cosθ=1213