Three displacement vectors A → , B → , and F → (Figure 2.13) are =10.00,B=7.00,andF=20.00,respective ly, angles with the horizontal direction α=35°, β =−110°, and φ=110°. The physical units of the magnitudes are centimeters. Use the analytical method to find vector G → = A → +2 B → − F → . Verify that G= 28.15 cm and that θG =−68.65°.

True or false graphs must include scales that increase by the same amount

Aproduction line at v. j. sugumaran's machine shop has three stations. the first station can process a unit in 7 minutes. the second station has two identical machines, each of which can process a unit in 16 minutes (each unit only needs to be processed on one of the two machines). the third station can process a unit in 10 minutes. ▼ is the bottleneck station, with a bottleneck time of nothing minutes per unit (enter your response as a whole number).

7. see worksheet 1 for values of variables x1, x2 and x3 and answer the following questions: a. for each variable find the mean, median, coefficient of skewness, range and population standard deviation. b. compared to variable x1, how are the mean and median affected by extreme values (outliers) seen in x2 and x3. c. is the median or mean the better measure of location for x2 and x3? explain. d. explain the differences in the magnitudes of the skewness coefficients for the three variables. e. what is the relationship between the range and standard deviation looking across the three variables?