1. A floating, electrical, stock tank heater uses 1500 watts for electric power. The electric company charges you roughly 12 cents per kilowatt-hour of usage. This means that if you use a 1-kilowatt device for 1 hour, the electric company will charge you 12 cents for the electricity. If you use it for 2 hours, you will be charged 24 cents, and so on. A. During the winter in your area, you plan to use the stock tank heater only at night. A timer will control the heater, so it operates for about 14 hours each night. Write an equation to compute the cost for electricity to run this heater for dnights.
B. Use your equation to find the electrical cost of running the heater for 90 nights.
C. How many days would it take for the electrical cost for running the heater to reach $200?

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.