I believe the answer is:
y+18 = (-52/3)(x-3) in point slope form
Let me know if you need an explanation. Hope this helps.
Answer:
The dimensions are 24 and 12 meters.
Step-by-step explanation:
W + L + W + L = 72 perimeter
(L-12) + L + (L-12) + L = 72
4L - 24 = 72
4L = 72 + 24 = 96 ====> L = 96%2F4 = 24.
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
Answer: 5 minutes per balloon sculpture and 7 balloons per sculpture
Step-by-step explanation:
Answer:
1. A leader has to show CURIOSITY. He has to listen to people outside of the “Yes, sir” crowd in his inner circle. The inability to listen is a form of arrogance. It means either you think you already know it all, or you just don’t care.
2. A leader has to be CREATIVE, go out on a limb, and be willing to try something different. Leadership is all about managing change … Things change, and you get creative. You adapt.
3. A leader has to COMMUNICATE. I’m talking about facing reality and telling the truth.
4. A leader has to be a person of CHARACTER. That means knowing the difference between right and wrong and having the guts to do the right thing.
5. A leader must have COURAGE. I’m talking about balls. (That even goes for female leaders.) Swagger isn’t courage. Tough talk isn’t courage. Courage is a commitment to sit down at the negotiating table and talk.
6. To be a leader you’ve got to have CONVICTION — a fire in your belly. You’ve got to really want to get something done.
7. A leader should have CHARISMA. People follow a leader because they trust him. That’s my definition of charisma.
8. A leader has to be COMPETENT. You’ve got to know what you’re doing. More important than that, you’ve got to surround yourself with people who know what they’re doing.
9. You can’t be a leader if you don’t have COMMON SENSE.
THE BIGGEST C IS CRISIS. Leaders are made, not born. Leadership is forged in times of crisis.
Step-by-step explanation: