Answer:
(d -21) is the number of days the book is late
Step-by-step explanation:
There is no fee if the book is returned within 21 days, so d-21 represents the number of "late days" for which a fee is charged.
Answer:
14.6 feet
Step-by-step explanation:
Let the height of the ladder be the hypotenuse, the distance from the wall be the base and the height till the ladder reaches be the perpendicular.
Using Pythogoras theorem,
H^2 = p^2+b^2
p^2 = H^2-b^2
p = under root(H^2-b^2)
p = under root(225 - 12.25)
p = 14.6 feet
Answer:
13620
Step-by-step explanation:
you just need to multiply 1135 by 12
Answer:
False. See te explanation an counter example below.
Step-by-step explanation:
For this case we need to find:
for all
and for
in the Markov Chain assumed. If we proof this then we have a Markov Chain
For example if we assume that
then we have this:

Because we can only have
if we have this:
, from definition given 
With
we have that 
So based on these conditions
would be 1 with probability 1/2 from the definition.
If we find a counter example when the probability is not satisfied we can proof that we don't have a Markov Chain.
Let's assume that
for this case in order to satisfy the definition then 
But on this case that means
and on this case the probability
, so we have a counter example and we have that:
for all
so then we can conclude that we don't have a Markov chain for this case.
(x-6)(x+2)
When you foil it you get x^2+2x-6x-12
After you do this you then add like terms to get x^2-4x-12
Therefore the answer (x-6)(x+2) is correct.