Each week, marcia travels to the office where she works, the supermarket, and a local fitness center. the three locations represent the vertices of a triangle. marcia wants to move to an apartment that is equidistant from these three places. where should her new apartment be located?
the center of the inscribed circle of the triangle

the center of the circumscribed circle of the triangle

the point of intersection of the angle bisectors for the triangle

the point of intersection of the perpendicular bisectors and the angle bisectors for the triangle

Sasha drank 8 bottles of water everyday for a week. how many bottles of water did she drink in total?

Given: p: 2x = 16 q: 3x – 4= 20 which is the converse of p - q? if 2x + 16, then 3x - 4 20. if 3x –4 +20, then 2x # 16. lf 2x = 16, then 3x - 4 = 20. lf 3x – 4= 20, then 2x = 16. o o

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