Answer:
Inverse Laplace of 
will be 
Step-by-step explanation:
We have to find the inverse Laplace transform of 
We know that of 
is 
As in H(s) there is square of 
So i inverse Laplace there will be multiplication of t
So the inverse Laplace of 
will be
Answer:
m= 2ke/v^2
Step-by-step explanation:
Answer:
Pvalue = 0.193
There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%
Step-by-step explanation:
H0 : p = 0.4
H1 : p < 0.4
Test statistic :
z=pˆ−p/√p(1−p)/n
pˆ = 74 / 200 = 0.37
Z = (0.37 - 0.40) / √(0.40(1 - 0.40) / 200
Z = - 0.03 / √0.0012
Z = - 0.03 / 0.0346410
Z = - 0.866
Test statistic = -0.866
The Pvalue :
P(Z < -0.866) = 0.193
α - level = 0.05
If Pvalue < α ; Reject H0
Since Pvalue > α ; There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%
Answer:
Step-by-step explanation:
Area of a circle is defined as
A = πr²
Where
A is the area of the circle
r Is the radius of the circle
π is a constant = 3.142
Then,
Given that the area is 380 in²
So,
A = πr²
380 = 3.142 × r²
Divide both side by 3.142
380 / 3.142 = 3.142 × r² / 3.142
111.372 = r²
Take square root of both sides
√111.372 = √r²
10.5533 = r
r = 10.5533 in
Nearest hundredth means to 2d.p
Therefore
r = 10.55 inches
