11. Mrs. Hamilton surveyed some of her students by asking how many minutes they spent
studying for their math test and the score they made on the math test. The results are shown.
a. What is the slope of the trend line?
b. What does the slope mean in the context of the
situation?
TEST SCORE
c. What is the y-intercept of the trend line?
d. What does the y-intercept mean in the context of
the situation?
5
10 15 20 25 30 35 40 45 50 55
MINUTES STUDIED
e. Equation of the trend line:

The resumâ´es of two male applicants for a college teaching position in chemistry are placed in the same file as the resumâ´es of two female applicants. two positions become available, and the first, at the rank of assistant professor, is filled by selecting one of the four applicants at random. the second position, at the rank of instructor, is then filled by selecting at random one of the remaining three applicants. using the notation m2f1, for example, to denote the simple event that the first position is filled by the second male applicant and the second position is then filled by the first female applicant, (a) list the elements of a sample space s; (b) list the elements of s corresponding to event a that the position of assistant professor is filled by a male applicant; (c) list the elements of s corresponding to event b that exactly one of the two positions is filled by a male applicant; (d) list the elements of s corresponding to event c that neither position is filled by a male applicant; (e) list the elements of s corresponding to the event a â© b; (f) list the elements of s corresponding to the event a âş c; (g) construct a venn diagram to illustrate the intersections and unions of the events a, b, and c.