Mackenzie has a bag that contains 6 red marbles, 4 blue marbles, and 14 yellow marbles. if she chooses one marble from the bag, what is the probability that the marble is not yellow?

Probability that the marble is not yellow is:

5/12

Step-by-step explanation:

Mackenzie has a bag that contains 6 red marbles, 4 blue marbles, and 14 yellow marbles.

She chooses one marble from the bag we have to find the probability that the marble is not yellow.

number of marbles which are not yellow= 6+4=10

Total number of marbles=6+4+14

                                       = 24

Hence, P(Marble is not yellow)

= number of marbles which are not yellow/total number of marbles

=  10/24

= 5/12

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is