Amanufacturing process is designed to produce ball bearings with a diameter of 0.620 cm. the standard deviation of all ball bearing diameters is 0.009 cm. every day a random sample of 40 ball bearings is selected and their diameters are measured. if the mean diameter from this sample falls outside of a given range, then the management will stop production to make adjustments. for the range 0.619 cm to 0.621 cm, find the probability that the management will stop production unnecessarily. (hint: find the probability that a sample’s mean will have a value inside this range when the population mean actually is 0.620 cm, and then use complements to find the probability that a sample mean’s value is outside that range.)

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 bsuppose 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 cnow try a numerical problem. what is the direction of the vector w = < -1, 6 > ?