Answer:
The wedge cut from the first octant ⟹ z ≥ 0 and y ≥ 0 ⟹ 12−3y^2 ≥ 0 ⟹ 0 ≤ y ≤ 2
0 ≤ y ≤ 2 and x = 2-y ⟹ 0 ≤ x ≤ 2
V = ∫∫∫ dzdydx
dz has changed from zero to 12−3y^2
dy has changed from zero to 2-x
dx has changed from zero to 2
V = ∫∫∫ dzdydx = ∫∫ (12−3y^2) dydx = ∫ 12(2-x)-(2-x)^3 dx =
24(2)-6(2)^2+(2-2)^4/4 -(2-0)^4/4 = 20
Step-by-step explanation:
<span>f(k) = k2 + 2k + 1 = (k+1)^2
The range is what the function gives to you f(k)=25=5^2 or (-5)^2
f(k)=64=8^2 or (-8)^2
You need to find the k values for these boundary values to find the domain.
Good luck :)</span>
Answer:
0.95 = 95% probability that a randomly selected student at this university recycles at least some of the time
Step-by-step explanation:
For a randomly selected student, we have these following probabilities:
0.55 probability that they always recicle.
0.25 probability that they usually recicle.
0.15 probability that they recicle only when it's convenient.
0.05 probability that they never recicle.
What is the probability that a randomly selected student at this university recycles at least some of the time?
Always, usually or only when it's convenient.
0.55 + 0.25 + 0.15 = 0.95
0.95 = 95% probability that a randomly selected student at this university recycles at least some of the time
56 miles per hour
15 minutes is 1/4 of an hour
1/4 = 0.25
so 56 x 4.25 = 238 miles
