A manufacturing process is monitored using x-bar and R charts. Ten samples of n=4 observations have been gathered with the following results. What is the value of x-bar-bar? Sample Mean Range 1 28.34 6.48 2 22.37 6.333 3 33.71 7.666 4 26.03 8.815 5 30.92 5.849 6 24.76 6.383 7 33.05 5.189 8 24.84 7.221 9 22.75 5.634 10 21.12 6.497

The architect's side view drawing of a saltbox-style house shows a post that supports the roof ridge. the support post is 8 ft tall. the distance from the front of the house to the support post is less than the distance from the post to the back of the house. how far from the front of the house is the support post positioned?

How are algebraic expressions evaluated using substitution?

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 > ?