Using the line of random numbers to run one simulation,
what proportion of students tried out for a sport?
O 0.40
A study reported that about 40% of high school students
have tried out for a sport at their school. To find out if this
applies to Jessica's school, she surveyed an SRS of 20
students. Nine of them said that they had tried out for a
sport. To see if this result is surprising, a simulation is to
be conducted to estimate the probability of obtaining a
sample result as high as this one.
Let 0-3 represent students who tried out for a sport and
4-9 represent students who did not try out for a sport.
O 0.45
O 0.50
O 0.60
52644
52348
82462
66233

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!

step-by-step explanation: 2

x = -5

step-by-step explanation: