Toby's trucking company determined that on an annual basis the distance traveled per truck is normally distributed with a mean of 50.0 thousand miles and a standard deviation of 12.0 thousand miles.
a. what proportion of trucks can be expected to travel between 34.0 and 50.0 thousand miles in the year?

0.4082

Step-by-step explanation:

Data

mean () = 50,000 miles

standard deviation () = 12,000 miles

expected distance (X) = 34,000 miles

In the figure attached, standard normal distribution table can be seen. Z is computed as follows:

In standard table, the area between 0 and -1.33 is the sem as between 0 and 1.33. So, the proportion of trucks is 0.4082

hi

step-by-step explanation:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.