The members of a rock climbing club can use an indoor rock climbing facility anytime they wish as part of their club membership. As it creates a new budget, the club decides to investigate how often the members use the indoor
climbing facility. Then it will decide whether to increase the budget for this facility. Manuel and Gretchen are in charge
of gathering this information, so they survey the members of the club. Each person will administer the survey to 15
randomly selected members and record how many days in the past month those members used the indoor facility.
Their data is shown in the table.
Comments
Number of Days Member Used Facility Last Month
Manuel
Gretchen
3
22
6
4
8
7
11
8
12
12
8
15
6
10
3
7
10
9
5
6
14
13
9
3
7
8
10
10
8
10

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

answer: slight chance that it will happen

step-by-step explanation:

answer: there are 453.592 grams in a pound.

the answers c