The coefficients respectively for X1, X2, X3, X4 and X5 are .01, .02, .03, .04 and .05. Compute the Z score. Analyze whether this firm will fail, or not and why. Explicate the meaning of the Xs.
Z=(0.012*0.01+0.014*0.02+0.033*0.03+0.006*0.04+ 0.999*0.05)*100=5.158
As Z is more than 2.99, the firm is in safe zone and will not fail
X1 = working capital / total assets
X2 = retained earnings / total assets
X3 = earnings before interest and taxes / total assets
X4 = market value of equity / total liabilities
X5 = sales / total assets
The coefficients respectively for X1, X2, X3, X4 and X5 are .01, .02, .03, .04 and...
9. Minimize x1 + x2 - X3, subject to 2x1 - 4x2 + x3 + x4 3xı + 5x2 + x3 +xs =2. Which of x1, x2, X3 should enter the basis, and which of x4, X5 should leave? Compute the new pair of basic variables, and find the cost at the new corner.
; Let at be a linear transformation as follows : T{x1,x2,x3,x4,x5} = {{x1-x3+2x2x5},{x2-x3+2x5},{x1+x2-2x3+x4+2x5},{2x2-2x3+x4+2x5}] a.) find the standard matrix representation A of T b.) find the basis of Col(A) c.) find a basis of Null(A) d.) is T 1-1? Is T onto?
Consider the following linear transformation T: RS → R3 where T(X1, X2, X3, X4, X5) = (x1-X3+X4, 2X1+X2-X3+2x4, -2X1+3x3-3x4+x5) (a) Determine the standard matrix representation A of T(x).
For the data x1 = -1, x2 = -3, x3 = -2, x4 = 1, x5 = 0, find ∑ (xi2).
Express the following in the SIGMA notation: a. x1 +x2 +x3 +x4 +x5 b.x1 +2x2 +3x3 +4x4 +5x5
)Consider the non-negative integer solutions to x1 + x2+ x3 + x4 + x5 = 2020. (A) How many solutions does Equation (1) have satisfying 0 ≤ x1 ≤ 100? Explain. (B) Remember to explain your work. How many solutions does Equation (1) have satisfying 0 ≤x1 ≤ 100, 1 ≤x2 ≤ 150, 10 ≤x3 ≤ 220?
A discrete memoryless source has symbols x1,x2,x3,x4 and x5. with probabilities 0.48, 0.12, 0.08, 0,06 and 0.02 respectively. Determine the Shannel fano code of the source. And check it against Huffman code source.
Consider the following linear transformation T: R5 → R3 where T(X1, X2, X3, X4, X5) = (*1-X3+X4, 2X1+X2-X3+2x4, -2X1+3X3-3x4+x5) (a) Determine the standard matrix representation A of T(x). (b) Find a basis for the kernel of T(x). (c) Find a basis for the range of T(x). (d) Is T(x) one-to-one? Is T(x) onto? Explain. (e) Is T(x) invertible? Explain
If x1 ,x2 ,x3 ,x4 ,x5 be a sample from b(1,p) where p is unknown and 0<=p<=1 test Ho:p = .5 vs H1:p ≠ .5
The initial value of the flip flop outputs {X5,X4,X3.X2.X1.XO} = (1, 0, 1, 1, 0, 1) before any clock pulses. What would it be following 3 following 3 clock pulses? DX5 0x40x30x240 x10 x0- CLK CLK Shift pulses 9 [X5,X4X3X2,X1,XO} = {1, 1, 1, 1, 0, 1} 0 (X5X4X3,X2X1,XO} = (0, 0, 1, 1, 0, 1] 6 X5,X4,X3,X2X1XO) = (0, 0, 0, 1, 0, 1] o X5,X4X3,X2,X1,XO) = (1,0, 1, 0, 0, 0)