PLZ HURRY I NEED HELP Which pair of events are independent of each other?
A.
selecting an ace from a deck of cards, and then drawing another ace without replacing the first
B.
drawing a red paperclip from a bag of paperclips, and then drawing another red paperclip without replacing the first
C.
drawing a ball from a bag, and then drawing another ball without replacing the first
D.
getting an even number on the first and second roll of the die
PLZ EXPLAIN

D

Step-by-step explanation:

Rolling a die and getting a certain number will not change the chances of you getting the same number a second time. A normal die will always have a 1/2 chance of rolling an even number. However, the other answer choices will make the likelihood of getting the same type of event again slimmer as you remove one of the objects from being chosen again. An example for the first option would be drawing an ace from a deck of 52 cards where you only have 4 aces, so the chance on the first draw would have been 4/52 or a 7.7% chance while the next draw will be a 3/51 or 5.9% chance.

step-by-step explanation:

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