Acommon mathematical interpretation of of causal relations is y =f(x,ε), where f is the law of nature and ε is some random noise. having observed data that is likely generated the equation, there are two goals in the data analysis: (1) extracting information about the law of nature—the function f (where we are mostly care about in chemical engineering). (2) predict what the response variables y are going to be with the predictor variables x revealed to us.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

x= cost per bracelet

number of bracelets * x + shipping charge = total cost

so

9x+9=72

there would be 162.15 calories in this cereal.

step-by-step explanation: