• Can you describe a real-world situation in which opposite quantities combine to make zero? • What is a recent example of when you added or subtracted? • How do you use the additive inverse property to subtract rational numbers? • How can the associative and commutative properties of addition be useful when adding and subtracting rational numbers? • If you had several numbers to multiply together, how do you know if your answer is positive or negative? • Tell me about a time you multiplied signed numbers. • What is a time when you might divide signed numbers? Answer all of these please

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.