Answer:
0.125
Step-by-step explanation:
(5 divided by 8) - ((1 divided by 4) x 2) = 0.125
Answer:
cups of flour.
Step-by-step explanation:
Given that:
is the number of cups of water to be mixed with flour for making tortillas.
is the number of cups of flour to be mixed with water for making tortillas.
Relation between and is given by the equation:
To find:
Number of cups of flour to be added if number of cups of water to be used is 1.
Solution:
We are given an equation with two variables.
Value of one variable is given and we have to find the value of other variable.
Number of cups of flour to be added =
Answer:
4?
Step-by-step explanation:
I'm not sure though. Guess if you have to.
Hi there what you need is lagrange multipliers for constrained minimisation. It works like this,
V(X)=α2σ2X¯1+β2\sigma2X¯2
Now we want to minimise this subject to α+β=1 or α−β−1=0.
We proceed by writing a function of alpha and beta (the paramters you want to change to minimse the variance of X, but we also introduce another parameter that multiplies the sum to zero constraint. Thus we want to minimise
f(α,β,λ)=α2σ2X¯1+β2σ2X¯2+λ(\alpha−β−1).
We partially differentiate this function w.r.t each parameter and set each partial derivative equal to zero. This gives;
∂f∂α=2ασ2X¯1+λ=0
∂f∂β=2βσ2X¯2+λ=0
∂f∂λ=α+β−1=0
Setting the first two partial derivatives equal we get
α=βσ2X¯2σ2X¯1
Substituting 1−α into this expression for beta and re-arranging for alpha gives the result for alpha. Repeating the same steps but isolating beta gives the beta result.
Lagrange multipliers and constrained minimisation crop up often in stats problems. I hope this helps!And gosh that was a lot to type!xd
