Question Help Steel rods are manufactured with a mean length of 21 centimeter (cm). Because of variability in the manufacturing process, the lengths of the
rods are approximately normally distributed with a standard deviation of 0.07 cm.
(a) what proportion of rods has a length less than 20.9 cm?
(b) any rods that are shorter than 20. 83 cm or longer than 21. 17 cm are discarded. What proportion of rods will be discarded?
(c) using the results of part (b), if 5000 rods are manufactured in a day, how many should the plant manager expect to discard?
(d) if an order comes in for 10,000 steel rods, how many rods should the plant manager expect to manufacture if the order states that all rods must be between 20.9 cm in 21.1 cm?

Answers:

Top left pic: Alternate exterior

Top right pic: None of them

Middle left pic: Corresponding

Middle right pic: Alternate interior

Bottom pic: Corresponding

Explanation:

The transversal is the line that goes through the other 2 lines.

Alternate angles are on opposite sides of the transversal:

Alternate exterior angles are on   Alternate interior angles are onopposite sides of the transversal         opposite sides of the transversal                                                   and on the outside part of the lines.     and on the inside part of the lines.

Corresponding angles are on the same side of the transversal.

But, the 2 angles have to be on the same side of the lines it's on.

For example, in the picture below, figure 2 has the numbers on top of both lines. Figure 3 has the numbers on bottom of both lines. But, figure 1 has number 1 on top of the line and number 2 on the bottom of the line. So that's why figure 1 is "none of these."