A20-ounce candle is expected to burn for 60 hours. a 12-ounce candle is expected to burn for 36 hours. assuming the variables are directly related, how many hours would a 9-ounce candle be expected to burn?

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.

Sanya noticed that the temperature was falling at a steady rate of 1.4 degrees every hour from the time that she first checked her outdoor thermometer. by 6 a. m., the temperature had fallen 21 degrees. which expression can you use to find how many hours earlier she had first checked the thermometer?

Erin writes the set of ordered pairs below. the set represents a function. {(3, –3), (5, 0), (–1, 4), (–6, 7)} erin claims that she can add any point to the set and have the set still represent a function. which of the following points can be used to show that erin's claim is incorrect? select three that apply. (–6, 1) (–1, 9) (0, 5) (1, 7) (3, –2)