The formula for density of an object is Density=
First you plug in the information you already know. 163.5=
Now you have to solve for the mass so you multiply 0.492 by 163.5
Lastly, you simplify and you will get 80.44. Hope this helped :)
Answer:
-25 is the integer
Step-by-step explanation:
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: 2
Step-by-step explanation:
100 + 84s = 66 + 101s
34 = 17s
s = 2
Answer: Jerry walked 2 7/20 miles to get to the park
Step-by-step explanation:
1/2 of 3 1/2
1/2 of 7/2 = 7/4
7/4 + 3/5
Find the LCM of the denominator
LCM of 4 and 5 = 20
35/20 + 12/20 = 47/20 = 2 7/20
Jerry walked 2 7/20 miles to get to the park