Boris the rat is trying to find food in the maze shown below. Boris is equally likely to take any path when coming to an intersection. If the food is stored in area A, what is the probability that Boris finds food? Show all of your calculations!

Probability to reach A by Boris =

Step-by-step explanation:

Figure with this question is not attached; find the diagram in the picture attached.

If Boris is trying to reach the food stored in area A, number of ways from junction X = 3

Probability of choosing one way =

Similarly, from junction Y there are 3 more options to reach the food.

Probability to reach A from junction Y =

Therefore, probability to reach the food stored in A

= Probability to reach A from junction X + Probability to reach A from junction Y

=

=

16.9 times 2.85

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1