Jacob is making a model bridge to be used with a train set. His tallest train that will pass under the bridge is 8.64 cm
high. He wants to have at least a 2-cm gap between the
tallest train and the bottom of the bridge. What should be
the minimum distance from the train track to the bottom of
the bridge?

Researchers were interested in whether relaxation training decreases the number of headaches a person experiences. they randomly assigned 20 participants to a control group or a relaxation training group and noted the change in number of headaches each group reported from the week before training to the week after training. which statistical analysis should be performed to answer the researchers' question?

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).

Using pert, adam munson was able to determine that the expected project completion time for the construction of a pleasure yacht is 21 months, and the project variance is 4. a) what is the probability that the project will be completed in 17 months? b) what is the probability that the project will be completed in 20 months? c) what is the probability that the project will be completed in 23 months? d) what is the probability that the project will be completed in 25 months? e) what is the due date that yields a 95% chance of completion?