Drag each tile to the correct box. The creators of a new organic drain cleaner claim that it is more effective at reducing clogs over the long term than a general soap solution. An
Independent group recently tested the cleaner to determine whether the claims are true. Three hundred households participated and were
divided into three equal-sized groups. Half of each group was randomly chosen to use the new cleaner, and half was assigned the soap solution
The households in each group used their given method for a year. This table shows the number of households that reported a reduction in clogs
in each group
Group
Organic Drain
Cleaner
Soap
Solution
A
18
44
B
48
25
c с
36
31
Match each statement with the corresponding group.
The organic drain cleaner's claimto be more
effective than the soap solution in reducing
the development of clogs is true.
There is not enough information to validate or
invalidate the claim of the organic drain cleaner
The organic drain cleaner's claim to be more
effective than the soap solution in reducing
the development of clogs is false.

group A: The organic drain cleaners claim to be more effective than the soap solution is reducing the development of clogs is false.

group B: The organic drain cleaners claim to

be more effective than the soap solution in reducing the development of clogs is true

group C: There is not enough information to invalidate the claim of the organic drain cleaner

Step-by-step explanation:

plato/edmentum

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!

one that is bigger than 3 1/2