Answer:
The mean standard deviation is 10/5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let's use the definition of the Laplace transform and the identity given:
with
.
Now,
. Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that
.
Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that
.
Solving for F(s) on the last equation,
, then the Laplace transform we were searching is
The most likely number of cats = 21/37 x 8 = 4.54 ≈ 5 cats
The most likely number of dogs = 16/37 x 8 = 3.46 ≈ 3 dogs
The probability of that arrangement happening = 1/8^2 = 1/64 = 0.00156
Add 9 to both sides to get 4n=0 so n=0
Answer:
a = 10
b = 6.633
Step-by-step explanation:
x²+ y²= 125.
In this equation, the value of x and y represent the coordinates of x and y respectively of point on which the circle passes.
<u>(a,5)</u>
x²+ y²= 125
a² + 5² = 125
a² + 25 = 125
a² = 125-25
a² = 100
a = √100 = 10
(9,b)
x²+ y²= 125
9² + b² = 125
b² 125 - 81
b² = 44
b = √44 = 6.633