1). Two variables with two unknowns: Solve for x and y; show (at least) major steps...
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IV Use Cramer's rule to solve the following problem with three (3) unknowns 2x+y-2z =-3 4x -2y + z = 16 X + 3y - 32 =-4
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·Additional Problem 13. For random variables X and Y it is given that Ox = 2, ơY = 5, and pxy 3 (a) Find Cov(Xx,y) (b) Var(4X-2Y7 Answers: (a) -. (b) 002 10652 li 3 . Additional Problem 14. Suppose Xi and X2 are independent random variables that have exponential distribution with β 4. (a) Find the covariance and correlation between 5Xi + 3X, and 7Xi-2X. (b) Find Var-5X2-2
please show steps on how to
solve.
x2 Differentiate. Find y' for y= 2 - My - 12x2 + 6x O A. y'= (3-4x)2 4x3 - 8x² + 6x B. y'= (3-4x) - 4x2 + 6x *c. y'= 13-4x) - 3x OD. y'= - (3 - 4x)²
7. Find cov(X, Y)
8. Are the random variables X, Y independent? Justify
answer
Edit : do not solve number 1, I already solved.
C=3/32
Use this information for problems 1 -8: Let X, Y be two continuous random variables and let f(x, y)2y + xy?) over the range O< x<2 and 0< y< 2. Determine the v function alue of the constant c that makes this function a joint probability density 1.
Use this information for problems 1 -8:...
please show steps cleary
7. Solve the following equations for x: b)3(2x-5)-(2-3x)--2+4x 9 15 5 c)H x-μ e) x3+8x2+15x-0 1 (4x-5)2-5-20 (use the square-root method) g) Solve using the quadratic formula: 3x2+2x -8-0. Show your steps clearly. x+4x-8-0. Show your steps clearly h) Solve by completing the Square: 8. Determine an equation for the line a) with slope of 5/3 and y-intercept of 5: b) with slope 7/6 and passing through the point (6.2) parallel to the line in #...
Systems of equations: solve using elimination method X+2y-z = -6 3x-y+z = 8 4x-y-2z = 0
JU, I - 4, y = -1 = (4, -1) The solution is the ordered pair (4, -1) Check by substituting these values into the original equations. EXERCISES Use the substitution method to solve each system of linear equations. 1) x = y + 3 x + 7 = 2y 2) y = 2x 3x + y = 10 3) y = 3x 5x - 2y = 1 4) y = x + 4 3x + y = 16 5)...
please show steps, thank you (Sec. 5.2, 00) Suppose X and Y are independent random variables with E[X] = 6, E[Y ] = −3, Var[X] = 9, and Var[Y ] = 25. Find: (a) E[2Y − X] (b) Var[2Y − X] (c) Cov[X, Y ] (d) ρ[X, Y ] (e) Cov[5X + Y, Y ] (f) Cov[X, 2Y − X]
QUESTION 7 Solve for (x, y, z), if there is a solution to the given system of linear equations: - 4x + 2y + z = 1 X- y + 3z = -5 3x + y - 4z = 10 (-1,-3, 1)) (1,3,-1) No Solution (1,3,1)
Solve the following linear system of equations for the two unknowns X and y (2x + y = 1 13x - y = 9 Identify the x and y components for the forces shown below: 500N Fx = a) 4 Fy = 3 b) Fx = Fy = 30° 100 N c) 150 N Fx = Fy= 9 12