Mrs. Nelson asked students in her class to translate the statement “Remy lost some of the $14 his mom gave him” into an algebraic expression. Four students’ solutions are shown below. Alice: 14 minus x He had $14, then he lost (subtraction) an unknown amount (x). Bobby: x minus 14 He had an unknown amount of money (x) and he lost (subtraction) $14. Camila: 14 greater-than x He had $14 more than (>) the unknown amount (x) he lost. Daniel: 14 less-than x He had $14 less than (<) the unknown amount (x) he lost. Which student’s solution is correct? Alice Bobby Camila Daniel

Little’s law firm has just one lawyer. customers arrive randomly at an average rate of 6 per 8 hour workday. service times have a mean of 50 minutes and a standard deviation of 20 minutes. how long does a customer spend at little’s law firm on average?

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

Lines a and b are perpendicular. if the slope of line a is 3, what is the slope of line b?