Answer:
62.5%
Step-by-step explanation:
150/240
Divide top and bottom by 10
15/24
Divide by 3
5/8
.625
Multiply by 100%
62.5%
Answer:
The correct answer is 9x + 7 y 
147 where Ashley works for x hours as lawn mower and y hours as babysitter per week.
Step-by-step explanation:
Ashley works in two different jobs namely mowing lawns and babysitting.
Let Ashley mow lawn for x hours and babysit for y hours in a week.
Ashley's earning for every hour she mow is $ 9. Total earning mowing lawn is $ 9x.
Ashley earns $7 for every hour she babysit. Total earning babysitting is $ 7y.
Total earning per week $ (9x + 7y).
Ashley's earning per week is at least $147.
∴ The required inequality to describe the above case is 9x + 7 y 147.
If an hour is equal to 1, then we know that the answer is more than 3. 12 minutes is equal to 1/5 of an hour, and if we add 3 and 1/5, we get the answer.
3 1/5
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
