If P(A)=0.2, P(B)=0.3, and P(A∪B)=0.5, then P(A∩B)=?

Q: Evaluate A B с D S= 3x-5 3x4 + 6x3-3x2 - 6x x² - 4x 2 x² - 2x 2 x² - 4x 2 x2-2x-In (x-1) 1/6(x+2)…

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Q: For the following system to be consistent, 3x+ 6y-4z = -3 41x+50y+kz =-44 %3D 8x+ 8y-2z = -8 ve must…

A: Using the matrix notation, the systems of the equation can be expressed in the form AX=B. The…

Q: 2) Is there a choice of rational numbers a, b, c, d for which the linear system has no

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1) V2881 A) 5V3x C) 12rV2r 2) V245m np A) 8n'mpVm C) 4nV2mp пр B) &rV2 B) 7mV5m D) 8pV2n 3) -625x°y*…

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Q: In the system of constant. For w ехас exactly one dist

A: Concept:ax2 + bx + c = 0can have only one solution when,when the discriminant is zero.b2-4ac = 0b2 =…

Q: Solve the following linear system in iled, by using Gauss-Jordan elimination : x - 3y 3x + y 2x + 3y…

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Q: For the following system to be consistent,−7x−7y−5z=3 −29x−11y+kz=4 4x-5y−7z=4 we must have, k≠

A: To find the values of k for which the given three simultaeneous equations have a common solution

Q: The set of solutions to z =-V2 - V26 is

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Q: Solve the following system using Gauss-Jordan Elimination: 4x+8y-4z=4 3x+8y+5z=-11 -2x+y+12z=-17

A: The given equations are 4x+8y-4z=4, 3x+8y+5z=-11 and -2x+y+12z=-17.Write the augmented matrix for…

Q: Consider the system Ax = b, where 5 1 A = 1 6 2 b = | 2 -1 -1 7 Calculate T; and cj.

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Q: 4. For what values of h and k is the following system consistent? 2x1 x2 = h -6x1 + 3x2 = k

A: In the given question we have to find the value of h and k for which the system of equation is…

Q: Compute AB, where A AT B = = 24 09 4 -3 -1 and B = 76 (1 %). 6 4

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Q: 3. Given w(x) = 3x – 2, v(x) = 2x + 7 and k(x) = -6x – 7, find (w - v – k) (2)

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Find A, and b such that Ax = b corresponds to the given linear system. 7x1 – 4x2 – 3x3 = -6 - 5x1+…

A: 7x1-4x2-3x3=-65x1+4x2-8x3=2Ax=b7-4-354-82×3 x1x2x33×1 =-622×1

Q: Show that the equation (1, 2, 3) × v = (−1, 2, a) has no solutionfor a = −1

A: Consider the given: Given equation:1,2,3×v=−1,2,aLet v=x,y,z1,2,3×v=ijk123xyz…

Q: Find x, y, z, and w. x 8 (2x- 1) (2x - 3) 7y (w + 1) (6y + 5) X = y =

A: Given x82x-1y67y=2x-3z55w+16y+5.

Q: Determine conditions on the b,'s, if any, in order to guarantee that the following linear system is…

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Q: Obtain the general solution   mydx = nxdy   Ans. xm =cyn

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Q: Réduce to reduced row echelon form. onpa 4 20 - 4 8. 2 10 -7 24 - 1 -5 2 - 6 12 – 60 12 -24 -

A: we have to reduce the matric in row echelon form

Q: For which value of a is the system 3x1 − x2 + 4x3 − 7x4 = 3 x1 − x2 + 2x3 − 3x4 = 1 −x1 + 2x2 −…

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Q: Find A, and b such that Ax = b corresponds to the given linear system. læı + 7x2 – lx3 -6 - 7x1 +…

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Q: 4. For what values of h and k is the following system consistent? 2x1 – x2 = h -6x1 + 3x2 = k

A: Linear system of the form Ax=b where 'A' is coefficient matrix and 'b' is column vector.…

Q: Find x, y, z, and w. х 1 (2х - 1) (2x - 2) 3 %3D у 9 9y 4 (w + 1) (8y + 4)

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Q: Solve the following system using Gauss- Jordan elimination 3x + y = 9 5x = 7+ y

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Q: When we are trying to judge if the multiple linear model is a well-fitting model, which ONE of the…

A: The multiple linear model is a well-fitting model is explained by the value of R2, adjusted r2,…

Q: If z=x²sinh then %3D дхду O A. (-x3– 3x2y +2xy2 – 32x)/16+x²– 2xy + y2 (16+x2- 2xy +y?) ² O B. (x3–…

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Q: Solve it correctlys

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Q: shop sells 3 brands of textile: B1, B2, and B3 of yarn, each of which is a blend of Orange(O),…

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Q: A and B cannot c are independent

A: For independent events : P(A n B) = P(A) * P(B)  And P(A u B) = P(A) + P(B) - P(A n B)  For mutually…

Q: x + 2y = m 3x + 6y = n

A: Given equations are x + 2y = m.          ... (1) 3x + 6y = n.         ...(2) For existence of…

Q: Solve the following elimination. systems usiny Gauss- Jardan A. X-dy=8 3 x B. 5x +3y =9 -2x+y

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: 1 If y = ex , then y equals (A none of the given choices – 2y B) x3 2y x3 - 2x y3 2x E) y3

A: To find y'

Q: Solve the values of x,y,z, and w by Gauss-Jordan Elimination. 2x+5y+2z-3w=3 3x+6y+5z+2w=2…

A: Given that,

Q: 1. Solve the following system of linear equations by Cramer's Rule, Gauss- Elimination, and…

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Q: If n is a real number, then the simultaneous system nx + y + z = 1 ny + z = 1 x+z = 1 has no…

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Q: 4. Use Cramer's rulc to solve the lincar systemn. r+ 3y 2 5.r +7y 3

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Q: Consider the linear system Ax = b. Find x given: 2 -3 -4 0 1 and b = 2 -2 -1 1 X =

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Q: If (ar + bx) = 4n and n+1 k-1 (ak - bx) = , then > ak = n+2 k-1 k-1

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Q: -1 -2] 3 4 If A = and B S.T AB BA. %3D -3 -4 5 2

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Q: The linear combination of gcd(252, 198) = 18 is? a. 252*4 – 198*5 b. 252*5 – 198*2 c.  252*5 – 198*4…

A: Given, gcd252,198=18 We, can write the above equation as, 252=1·198+54198=3·54+3654=1·36+1836=2·18+0

Q: Find the solution of the following system z1- 12+ 2r3 = 1 3r1 +12 - 13 =0 21 + 2r2 + 13 = -1 with…

A: We need to use Cramer's rule to solve the system.

Q: components of K1 UG is

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Q: a) Compare and contrast Euler and Runge Kutta 2 and Runge Kutta 4 say what they have in common and…

A: To show: (a) compare and contrast Euler and Runge kutta 2 and Runge Kutta 4 say what they have in…

Q: (b) Finl A suh that the followng system i comistent 1-3y+ 1 6x-8y +5z-

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Q: 1 2 A = 1 -1] 2 3 3 b 1 -1 a

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Q: If |zı| = 1, |z2| = 2, |z3| = 3 and [9zīz2 + 4z]Z3 + Z2Z3| = 12, then the value of |zı + Z2 + Z3] is…

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Q: Find A, and b such that Ax = b corresponds to the given linear system. 5x1 + 3x2 + 6x3 = 7 2x1 + 8x2…

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Q: 5+ 12x2 - 4x xdx a (2x? -3)/5+12x² – 4xª + 14in/2x² - 3+/5+12x? – 4x*|} b H2x2-3)/5+12x² – 4x +…

A: To evaluate the given integral.∫5+12x2-4x4 x dx