At a university in western Pennsylvania, there were 5 burglaries reported in 2003, 16 in 2004, and 32 in 2005. If a researcher wishes to select at random two burglaries to further investigate, find the probability that both will have occurred in 2004.

121/1024

Step-by-step explanation:

If 5 burglaries were reported in 2003,

16 in 2004, this means that were addition of more (16 - 5) = 11

and 32 in 2005

Total outcome will be 32 windows

 The probability that both will have occurred in 2004 will be

11/ 32 × 11/32 = 121/1024

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.