5. One piece of PVC pipe is to be inserted inside another piece. The overlap should be normally distributed with mean 1 inch and sd 0.1. The lengths of the pieces are independent and normally distributed: for piece 1 the mean is 20 and sd 0.5 inches; for piece 2 the mean is 15 and sd 0.4 inches. Find the probability that the total length after insertion is between 34.5 and 35 inches.

I've been working on this for a few days and i just don't understand, it's due in a few hours. you. the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α. part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part b suppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case. part c now try a numerical problem. what is the direction of the vector w = < -1, 6 > ?