z=10+3(x+y)
Distribute 3 inside parentheis
z = 10 +3*x +3*y
Finally simplify to obtain
z= 10+3x+3y
D Question 3 10 pts The joint pdf of X, Y, and Z is given by f(x,y,z) = 8xyez for 0sxcys 1, z>0 (0 otherwise) What is the joint pdf of U=X/Y and V = Y? O g (u, u) = 8uu for 0 < u-u-1 (-0 otherunse) O g(u,) foru 1 0v1 (0 otherwise) O g (u, u) 4uv for 0 < u < 1; 0 < u < 1 ( 0 otherwise) O g (u, v) = 8uv2...
a - e (a) X + y +z = 11 X – Y – 2= -3 -2 + y - 2 = 5 (3x – y + 2z = 2 (b) x+y+z+t+p=17 X - Y - 2-t-p= -5 z +t+ p + y = 11 p - x - y = 1 -t + x = 10 (c) x +y + 2+t= -6 X - Y - 2 -t = 20 y - X=-39 2x + 3t + y -...
If X = 10 ± 2%, Y= 20 ± 3%, and Z= 40 ± 4%, find the LE for flowing equations: (1) What is LE of XYZ? (2) What is LE of X+Y+Z? (3) What is LE of X2Y?
A 3-point cross involves genes X, Y, and Z with dominant/recessive alleles X/x, Y/y, and Z/z. Suppose the (unordered) non-recombinants are X,y,z and x,Y,Z and the double-recombinants are X,Y,Z and x,y,z. What is the linkage order of these genes?
10) If y varies directly with x and inversely with z, and y is 64 when x is 8 and z is 2, what is y when x is 5 and z is 3?
Select the Boolean expression that is not satisfiable. 3 (z+u)(z+x)(z+x")(u+y)(u+y) (z+u")(z+x)(z+x)(u+y)(u+y) (zº+u)(z+x)(z+x")(u+y)(u+y") (z+u")(z+x)(z+x")(u+y)(u+y") 6 a Question 13 (1 point) Select the statement that is not a proposition. 12 5+4 = 8 It will be sunny tomorrow. 15 Take out the trash. 7 18 Chocolate is the best flavor. 20 21 Question 14 (1 point) p = T. q = F, and r = F. Select the expression that evaluates to true. 23 24 Срла -р avr
Consider the following utility function of 3 goods, x, y and z: U(x,y,z)=ax+by+cz; x,y,z≥0 and a, b, c are constants. The prices of good x and y is denoted by pX and pY respectively. The income is denoted by m. Good z is provided by the government free of cost but the quantity of good z provided by the government depends on the consumption of good x and y chosen by the consumer. For example, if in equilibrium, the consumer...
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
What is the output of the combinatorial circuit? A. x*y *z+x* y*-z B. (x)(x+y+z) C. x*y* z+x *y* z D. (x+ y +Z)*(x+ y z) E. x*y* z*x *y*z What is the output of the combinatorial circuit? A. x*y *z+x* y*-z B. (x)(x+y+z) C. x*y* z+x *y* z D. (x+ y +Z)*(x+ y z) E. x*y* z*x *y*z
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...