As you stop your car at a traffic light, a pebble becomes wedged between the tire tread. The distance the pebble is from the pavement will vary sinusoidally with time. The equation that represents this is y=-12cos1/12x+12, where x represents the time driven in seconds and y represents the distance the pebble is from the pavement in inches. What is the first time the pebble is 11 inches from the ground?

Two researchers are attempting to create a new psychotherapy protocol that more reduces panic attacks. they believe that they have succeeded and are now in the clinical trial period of their protocol's development. they are working with several cohort groups, some of which have been through the new protocol, while others have done the standard protocol currently recommended. if these researchers are interested in evaluating the difference in the percentage of test subjects who successfully decreased their panic attacks in 2 months on the new protocol versus the percentage of test subjects who successfully decreased their panic attacks in 2 months with the traditional protocol, which of the following statistical tests would be most appropriate? a. analysis of variance (anova) b. correlation c. chi-square test d. paired t-test e. independent t-test