6a. By the convolution theorem,

6b. Similarly,

7. Take the Laplace transform of both sides, noting that the integral is the convolution of
and
.


where
. Then
, and

We have the partial fraction decomposition,

Then we can easily compute the inverse transform to solve for f(t) :


Answer:
a. 
b. 
c. 
d. 
Step-by-step explanation:
The sample space associated with the random experiment of throwing a dice is is the equiprobable space {R1, R2, R3, R4, R5, R6}. Then,
a. The conditional probability that 3 is rolled given that the roll is greater than 1? 
b. What is the conditional probability that 6 is rolled given that the roll is greater than 3? 
c. What is P [GIE], the conditional probability that the roll is greater than 3 given that the roll is even? 
d. Given that the roll is greater than 3, what is the conditional probability that the roll is even? 
Y=mx+b
Y1-Y2/X1-X2
14-10/5-3 = 4/2 = 2
Plug in (3,10):
(10)=2(3)+b
Solve:
10=6+b
B=4
M=2
Answer:
x^8
Step-by-step explanation:
Answer:
3 n minus 4 represents the expression "four less than three times a number"