Answer: You can't expect everybody to do your work for you. I thought It was 1 question and that's a whole packet. At least look it up on the internet or go ask your parents/siblings. Im not tryna be rude but If I could help you, I would but there are too many questions. Sorry.
Step-by-step explanation:
P(not 5) =5/6 and P(5) = 1/6
If the first 5 is rolled on the 5th roll then the first four rolls were not 5
P(5 on fifth roll) = 5/6 x 5/6 x 5/6 x 5/6 x 1/6 = 5^4/6^5 = 625/7776 = 0.080375...
1/6 because you are breaking something into 6 and you got to share think of it like that so you get a smaller piece than you cutting it into 1/5...... so the answer is 1/6
Answer:
1) 
2) 
Step-by-step explanation:
To find : Calculate the Laplace transforms of the following from the definition ?
Solution :
We know that,
Laplace transforms of 
is given by,
1) 
Laplace of y,
here n=2
2) 
Laplace of y,
here n=3
Answer:
2x(7x - 3)(7x +3)
Step-by-step explanation:
Find common factors between the 2 numbers:
98x^3 - 18x
2x(49x^2 - 9)
now find what numbers multiplied together is 49, and find what numbers added together equals 0 and the product is 3, 7 times 7 is 49 and 3(-3) = 9 while 3 - 3 = 0 so:
2x(7x - 3)(7x +3)
