Pls help! Correct answers for brainliest! 1. The sum of three consecutive numbers is 102. What is the smallest of the the three numbers?

2. The sum of three consecutive numbers is 69. What is the smallest of the three numbers?

3. Keith bought a soft drink for 4 dollars and 8 candy bars. He spent a total of 44 dollars. How much did each candy bar cost?

4. Tim bought 4 new baseball cards to add to his collection. The next day his dog ate half of his collection. There are now only 43 cards left. How many did Tim start with?

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.