Lynne was wondering which game was more popular so she aksed her friends which they liked to play more, FortNite or Among Us. She found that of the 80 people who responded, 0.55 of them preferred FortNite, and 30% of them preferred Among Us. How many more of her friends prefer FortNite than Among Us?

20 more of her friends prefer FortNite than Among Us

Step-by-step explanation:

Lynne was wondering which game was more popular so she aksed her friends which they liked to play more, FortNite or Among Us.

She found that of the 80 people who responded:

For fortnite:

0.55 of them preferred FortNite

Hence, = 0.55 × 80 people

= 44 people preferred fortnite

For Among us

30% of them preferred Among Us.

= 30% × 80 people

= 30/100 × 80 people

= 24 people preferred Among us.

How many more of her friends prefer FortNite than Among Us?

This is calculated as:

44 - 24

= 20 more people

Hence, 20 more of her friends prefer FortNite than Among Us

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!

70,000 + 6,000 + 800 + 30

step-by-step explanation: