In a road-paving process, asphalt mix is delivered to the hopper of the paver by trucks that haul the material from the batching plant. the article "modeling of simultaneously continuous and stochastic construction activities for simulation" (j. of construction engr. and mgmnt., 2013: 1037-1045) proposed a normal distribution with mean value 8.46 min and standard deviation .913 min for the rv x 5 truck haul time. a. what is the probability that haul time will be at least 10 min? will exceed 10 min? b. what is the probability that haul time will exceed 15 min? c. what is the probability that haul time will be between 8 and 10 min? d. what value c is such that 98% of all haul times are in the interval from 8.46 2 c to 8.46 1 c? e. if four haul times are independently selected, what is the probability that at least one of them exceeds 10 min?

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

a triangular prism is a 3 dimensional shape composed of triangles and rectangles. it is made from two triangular bases and three rectangular sides.