Green river state park has two popular hiking trails: overlook trail and high ridge trail. on one particular day, 80 hiking groups used the trails: 40 groups used overlook trail and 40 groups used high ridge trail. of the 40 groups that used overlook trail, 30 groups had children and 10 groups had no children. of the 40 groups that used high ridge trail, 15 groups had children and 25 groups had no children. consider the following events.

h: a hiking group uses high ridge trail.
c: a hiking group has children.
which statement is true about events h and c?

a. events h and c are independent and p(h|c) < p(c|h).

b. events h and c are dependent and p(h|c) < p(c|h).

c. events h and c are independent and p(h|c) = p(c|h).

d. events h and c are dependent and p(h|c) = p(c|h).

B. Events H and C are dependent and P(H|C) < P(C|H)

Step-by-step explanation:

The ratios of groups with children to hiking groups on the trail are different for the two trails.

P(H|C) = 15/45 = 1/3

P(C|H) = 15/40 = 3/8

1/3 < 3/8 so the comparison of choice B is appropriate.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

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.