While measuring specimens of nylon yarn taken from two spinning machines, it was found that 9 specimens from the first machine had a mean denier of 9.17 with a standard deviation of 1.81, while 12 specimens from the second machine had a mean denier of 7.33 with a standard deviation of 1.48. Test at the 0.05 level of significance that the mean denier of the first machine is higher than that of the second machine by at least 1.5.

4

step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

answer: 1inch=7days  

12inch=12*7=84days

step-by-step explanation: