The probability of winning money on a particular ''scratch and win'' ticket is said to be 3 out of 10. If mrs. curcio buys 25 tickets to hand out to her students, how many of those would you predict to be ''winners''?

8/25

Step-by-step explanation:

The total amount of tickets is 25 so divide 10 from 25 to figure out what you multiply by to get 25

--> 25/10 = 2.5

now multiply 2.5 x 3 to have a numerator which would be your probability of winners out of 25 tickets

--> 2.5 x 3 = 7.5 (round to the nearest whole number)

7.5 rounded to the nearest whole number --> 8

so you get 8 out of 25 = 8/25

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: kljdcdhjbdlchjad oac apoich a

step-by-step explanation: