Answer:
17.5 yds =r
Step-by-step explanation:
Circumference is given by
C = 2*pi*r
35pi = 2 *pi*r
Divide each side by 2pi
35pi/2pi = 2*pi*r/2pi
17.5 =r
Answer:
<h2>See below</h2>
Step-by-step explanation:
For every odd place, the first one, the third one, and so on, the rule to increase each number by 2 then 3 then 5. This is because every even numbered digit, shows how much to increase the other digits by, minus one at the beginning, no change in the middle, and plus one at the end.
I'm always happy to help :)
Answer:
good
Step-by-step explanation:
thx for the points :)
Answer:
A
Step-by-step explanation:
slope remains same.
m = y/x
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
