Doubling formula is this:
where P=initial number of rabbits
t=time
d=time it takes to doulbe
ok, so 4 weeks is the doubling time so that is 4*7=28 days
we wawnt time=98
and oroiginal number of rabbits is 5 so
so P(98)≈56.56
we can't have .56 rabbit so round down or up
about 56 or 57 rabbits in 98 days
When u=-2, put that in where you see "u". use parentheses.
-4(-2)+4x=12
-4*-2=8 ➡positive 8 since a negative times a negative is always positive
一一一一一
now look for x
8+4x=12
subtract 8 from both sides. get x by itself.
-8+8+4x=12-8
4x=4➡ divide both sides by 4. a number divided by itself is 1 (unless one side is negative, then the answer is negative)
4/4=1
一一一一一
x=1
Answer:
a) 
b) 
c) 
d) 
e) 
f) 
g) 
h) E(Y) = E(1+X+u) = E(1) + E(X) +E(v+X) = 1+1 + E(v) +E(X) = 1+1+0+1 = 3[/tex]
Step-by-step explanation:
For this case we know this:
with both Y and u random variables, we also know that:
![[tex] E(v) = 0, Var(v) =1, E(X) = 1, Var(X)=2](https://tex.z-dn.net/?f=%20%5Btex%5D%20E%28v%29%20%3D%200%2C%20Var%28v%29%20%3D1%2C%20E%28X%29%20%3D%201%2C%20Var%28X%29%3D2)
And we want to calculate this:
Part a
Using properties for the conditional expected value we have this:
Because we assume that v and X are independent
Part b
If we distribute the expected value we got:
Part c
Using properties for the conditional expected value we have this:
Because we assume that v and X are independent
Part d
If we distribute the expected value we got:
Part e
Part f
Part g
Part h
E(Y) = E(1+X+u) = E(1) + E(X) +E(v+X) = 1+1 + E(v) +E(X) = 1+1+0+1 = 3[/tex]
Answer:
x=1
y=0
Step-by-step explanation:
(x-1)=-2x+2
3x-1=2
3x=3
x=1
-2(1)+2
-2+2=0
