The rolls are entirely independent. Since P(2)= 1/6,
P(2 on both rolls) = (1/6)(1/6) = 1/36.
I believe the answer is 78.54 , D
Answer:
0.573 m
Step-by-step explanation:
a. To find the depth, x, we first solve the differential equation to find the expression for I
dI/dx = (-1.21)I
dI = (-1.21)Idx
dI/I = -1.21dx
Integrating both sides, we have
∫dI/I = ∫-1.21dx
㏑I = -1.21x + C
I = exp(-1.21x + C)
I = exp(-1.21x)exp(C) Let exp(C) = A
I =Aexp(-1.21x)
when x = 0, I = L. Substituting these into the equation, we have
L = Aexp(-1.21 × 0)
L = Aexp(0)
L = A
So, I = Lexp(-1.21x)
we want to find x when I = L/2.
So, L/2 = Lexp(-1.21x)
1/2 = exp(-1.21x)
-1.21x= ㏑(1/2)
-1.21x= -㏑2
x = -㏑2/-1.21
x = 0.693/1.21
x = 0.573 m
Answer:
Yes, every input would have exactly one output.
Step-by-step explanation:
You don't even have to solve it, you can look at the x-values and see if there is two of the same number. If there were two of the same number that would mean it is not linear.
Hope that helps and have a great day!
