There is a 70% chance that te phone will receive a favorable report.
This follows directly from the double angle identity for cosine and the Pythagorean identity:

So we have

Answer:
5 11/12
Step-by-step explanation:
Convert each fraction into like denominators: 2/3=8/12, 1/4=3/12
Add: 2 8/12 + 3 3/12 = 5 11/12
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.
Answer:
5.1
Step-by-step explanation:
-44.288-31.6 / -3.1(6-1.2)
Add -44.288 and -31.6
= -75.888 / -3.1(6-1.2)
Subtract 1.2 from 6
= -75.888 / -3.1(4.8)
Multiply -3.1 and 4.8
= -75.888 / -14.88
Divide -75.888 by -14.88
-75.888 / -14.88
=5.1