The study participants were divided into four groups—two groups received the power pill (group a and group b) and two groups received a placebo (group c and group d). the effects of the power pill were measured. one group that received the power pill (group a) and one group that received the placebo (group c) were told of the anticipated effects of the power pill—accelerated hair growth—while the other two groups (group b and group d) were not provided with this information. all four groups were told to monitor and report any physical changes during the study.

results were reported and participants were grouped as to either “saw results,” meaning that participants reported increased hair growth as part of physical changes during the study, or “no results,” meaning that increased hair growth was not mentioned as part of physical changes during study.

results are as follows:

6 in group a saw results.
7 in group b saw results.
5 in group c saw results.
4 in group d saw results.
part 1:

create a two-way table for the data and find the probabilities for each group. describe results in terms of the study.

part 2:

what is the probability that a person saw results, given they received the power pill? what is the probability that a person saw results, given they received a placebo? explain in terms of the study.

part 3:

what is the probability that a person received the placebo, given that they did not see results? what is the probability that a person received the power pill, given that they did not see results? explain in terms of the study.

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!

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

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step-by-step explanation: