Mario travels 180 miles in 2.5 hours. How many miles will he travel in one hour, if the rate is not changed? Explain.
2 answers:
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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:
y = 4.
Step-by-step explanation:
I suppose that this question relates to the image that can be seen below.
In the image, the green line represents the exponential function and the blue line represents the linear function.
The y-value after which the exponential function will always be greater than the linear function is the y-value where bot graphs intersect, such that after that point, the blue line starts increasing fast, and is always above the green line.
In this case, this point is the second intersection, and we can see that this intersection happens in the point (2, 4)
Remember that the usual notation for points is (x, y).
Then the y-value after which the exponential function will always be greater than the linear function is y = 4.
Answer:
5 and 1/3 cups of water.
Step-by-step explanation:
Set up a proportion like this:
2:3 for the original recipe
Then a second proportion for the recipe Jacoby used:
w:8 (use w for the unknown water amount)
Set up an equation so that the proportions equal each other. It helps if you write them in fraction form:
Use cross multiplication to get the new equation:
8 x 2 (or 16) = 3w
Then, divide both sides by 3 to get the amount for w, or water, by itself:
5 and 1/3 = w
I hope this helps! ☺