you are playing a dice game called noluz against one other person. each time you play, both players pay a quarter. you win the money if a 1 or 4 shows face up on the die. the other player wins if a 2 or 5 comes up, and the piggy bank gets the money if a 3 or 6 comes up. this money will then be donated to a charity that you pick.

-0.083

Step-by-step explanation:

Given:

Win if a 1 or 4 shows face up on the die

Loss if a 2 or 5 comes up

piggy bank gets the money if a 3 or 6 comes up

Probability of winning= 2/6

                                    = 0.33

Probability of loosing= 4/6

                                  =2/3

Winning  = quarter win(probability of winning) + quarter loose(probability of loosing)

=0.25(1/3) + (-0.25)(2/3)

=-0.25/3

= - 0.083

- sign shows loss !

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl