Example: Find the coordinates of point P along the directed line segment AB, A (3,4) and B (8, 14), so that the ratio of AP to PB is 3/2
Step 1: Graph the line segment and label the points.
Step 2: Find the whole number of equal parts
you will be partitioning.
Ratio of AP to PB is 3/2

.
This means...
AP will have
parts

PB will have
parts

So, the whole number of equal
parts will be 5. This means we will cut the line segment AB into 5 parts.

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.