Level 4 Lauren is studying the deer population at a large national park. This year, the number of deer at the national
park is 4900. She has found that y = 4900(0.92) is an equation that models the population over time,
where x represents the number of years since she started collecting data (x = 0 represents "today') and y
represents the number of deer remaining at the national park,
How many years will it take for the deer population to decrease below 500?
(Hint: Substitute 500 into the equation and solve. Does the 500 go in the place of z ory? Recall what each
variable represents!)

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.