In: Math

Companies X, Y and Z all manufacture a specific component required to make a touch screen tablet. Of these three companies, X shipped 1024 components, Y shipped 512 and Z shipped 256. The percentage of defective components produces by each company is 4%, 5% and 14% for X, Y and Z, respectively. What is the probability that a given defective component came from Company Y?

Please enter your answer as a decimal with 3 significant digits, e.g., .250 or 0.250.

What are (a) the x component, (b) the y component, and (c) the z
component of r Overscript right-arrow EndScripts equals a
Overscript right-arrow EndScripts minus b Overscript right-arrow
EndScripts plus c Overscript right-arrow EndScripts if a Overscript
right-arrow EndScripts equals 5.4 i Overscript ̂ EndScripts plus
1.9 j Overscript ̂ EndScripts minus 3.6 k Overscript ̂ EndScripts ,
b Overscript right-arrow EndScripts equals negative 4.1 i
Overscript ̂ EndScripts plus 5.4 j Overscript ̂ EndScripts plus 3.7
k Overscript...

The curried version of let f (x,y,z) = (x,(y,z)) is
let f (x,(y,z)) = (x,(y,z))
Just f (because f is already curried)
let f x y z = (x,(y,z))
let f x y z = x (y z)

Describe the level surfaces of G(x,y, z) = 1 – y^2 – z. Make
sure to provide all the following: their equations, types, plots,
and a short word description of their geometric shapes.

Let X, Y ⊂ Z and x, y ∈ Z Let A = (X\{x}) ∪ {x}.
a) Prove or disprove: A ⊆ X
b) Prove or disprove: X ⊆ A
c) Prove or disprove: P(X ∪ Y ) ⊆ P(X) ∪ P(Y ) ∪ P(X ∩ Y )
d) Prove or disprove: P(X) ∪ P(Y ) ∪ P(X ∩ Y ) ⊆ P(X ∪ Y )

If X, Y and Z are three arbitrary vectors, prove these
identities:
a. (X×Y).Z = X.(Y×Z)
b. X×(Y×Z) = (X.Z)Y – (X.Y)Z
c. X.(Y×Z) = -Y.(X×Z)

Digital Logic
Simplify:
F = (x’∙ y’∙ z’) + (x’∙ y ∙ z’) + (x ∙ y’ ∙ z’) + (x ∙ y ∙
z)
F = (x + y + z’) (x + y’ + z’) (x’ + y + z’) (x’ + y’ + z)

For each of the formulas below, state whether it is true or
false.
a) pX,Y,Z(x,y,z)=pY(y)pZ∣Y(z∣y)pX∣Y,Z(x∣y,z)
Select an option
True
False
b) pX,Y∣Z(x,y∣z)=pX(x)pY∣Z(y∣z)
Select an option
True
False
c) pX,Y∣Z(x,y∣z)=pX∣Z(x∣z)pY∣X,Z(y∣x,z)
Select an option
True
False
d) ∑xpX,Y∣Z(x,y∣z)=1
Select an option
True
False
e) ∑x∑ypX,Y∣Z(x,y∣z)=1
Select an option
True ...

Find ??, ?? and ?? of F(x, y, z) = tan(x+y) + tan(y+z) – 1

Three materials X, Y, and Z are required to produce two
products A and B. The profit function of each product is nonlinear.
The total profit function for Product A is 80A - A2 and the total
profit function for Product B is 72B - 0.8B2. Thus, the total
profit for producing A and B together is 80A - A2
+ 72B - 0.8B2. (These two profit functions are independent.)
a. Use the Nonlinear Solver (GRG Nonlinear) to
solve the...

Given function f(x,y,z)=x^(2)+2*y^(2)+z^(2), subject to two
constraints x+y+z=6 and x-2*y+z=0. find the extreme value of
f(x,y,z) and determine whether it is maximum of minimum.

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