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:
45.7miles per hour
Step-by-step explanation:
40mins = 2/3 hour
the bus travelled (2/3 x 40) miles = 80/3 miles
the cab took 35 mins (which is 7/12 hour) so it's speed is (80/3)/(7/12) miles/hour = 45.714 miles/hour (5 s.f.)
The area of the largest triangle would be 6 inches².
How did I get this? I'll explain first:
We would want our triangle to have the longest sides, so it can be big. If you think of a rectangle, a triangle can fit into it if:
The base (bottom) of the triangle is the same length as one side of the rectangle, and the other side of the triangle is perpendicular (90°) to the bottom and is the same length of the other side of the rectangle.
Okay, just picture it: two sides of the triangle are resting in the two sides of the rectangle, and the third side of the triangle is a line that splits the rectangle in half from one corner to the other.
I've added an image to explain.
The formula to find the area of a triangle is half of the base × height.
A of Δ = half of 3 × 4A = 1.5 × 4 = 6 inches²!
Answer:
b 233 7 in
Step-by-step explanation:
i think
Answer: multiply 631.6 by 0.8 = 505.28
