0 = (378460x) + (95390y) + (2880z)
-150 = (95390x) + (75320y) + (3660z)
-150 = (2880x) + (3660y) + (54000z)
Show all working to prove answer below
Answer x=0.716, y=-2.76, z=-0.00261
0 = (378460x) + (95390y) + (2880z) -150 = (95390x) + (75320y) + (3660z) -150 = (2880x) + (3660y) + (54000z) Show all working to prove answer below Answer x=0.716, y=-2.76, z=-0.00261
Prove the following statements • corr(ax,y) = corr(x,y) • show that if x,y and z are independent. Show what happened to: cov(x+y,x+z)= ? • assume x and y are not independent: cov(ax + b, y)= ? 70 tre la Car
Prove that if X 20, Y 2 0 and 0 p1, then E(X +Y)] Show that for any real numbers x > 0 and y > 0, E(X)E(YP). HINT: Here is how you can show the above formula holds. Start off by letting 0y. Use the fact that the function g(z) - z is concave-down (i.e., "spills water") on (0, oo) and is thus bounded above by its tangent line at any particular point. Find the tanget line at the...
Prove X, Y, Z, JER. XKY Prove Z <# X AND Y<j, if and only if (x,y) [z,j]
Prove whether or not the program segment x≔3 z≔x-y+2 if y>0 then z≔z+3 else z≔2 is partially correct with respect to the initial assertion y=4 and the final assertion z=6
Prove that for all (x,y) in interval (0.2), there exists z in interval (0,2) such that x<z and y<z.
Prove that the set W = {(x, y, z) * + = 0} is a subspace of Rs and then find a basis in W.
a) Prove that for all x, y≥0 we have |√x−√y|≤√|x-y|. (b) Prove that f(x)=√x is uniformly continuous on [0,∞).
and Y ~ Geometric - 4 Let X ~ Geometric We assume that the random variables X and Y are statistically independent. Answer the following questions: a (3 marks) For all x E 10,1,2,...^, show that 2+1 P(X>x) P(x (3 = Similarly, for all y [0,1,2,...^, show that Show your working only for one of the two identities that are pre- sented above. Hint: You may use the following identity without proving it. For any non-negative integer (, we have:...
Solve the system. -3x+y+4z=1 x+y+z=0 -2x+z=-1 x+y-2z=0 Please show all steps! I thought I got the correct answer but my numbers don't work for the last given equation. Thank you!
using discrete structures 3. Consider the function F(x, y, z) for x, y, z z 0 defined as follows: a. F(x, y, 0)-y+1 b. F(x, 0, 1)-x c, F(x, 0, 2) = 0 d. F(x, 0, z+ 3)-1 e. F(x, y, z)-F(x, F(x, y-1, z), z-1) Using Induction, prove the following a. F(x, y, 1)-x +y b, F(x, y, 2) = xy c. F(x, y, 3)-xy 3. Consider the function F(x, y, z) for x, y, z z 0 defined...