Solving real-world systems of inequalities

mike wants to fence in part of his backyard. he wants the which are possible dimensions for mike's backyard?

length of the fenced-in area to be at least 20 feet long, 72 check all that apply

20. he has 200 feet of fencing. the inequality that

models the possible perimeter of the yard is 21 + 2ws w = 50 ft: 2 = 10 ft

200

w = 10 ft 7 = 50 ft

w = 20 ft: 1 = 60 ft

w 790 ft; 7 = 30 ft

w = 50 ft 7 = 40 ft

15 points ! ~ see if you know the answer to both you!

‼️‼️‼️10 points‼️‼️‼️ me it’s important‼️‼️‼️‼️‼️

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.