Pulling a sock from a drawer, replacing the sock, and pulling another sock from a drawer at random is an example of

This is an example of Independent Events.

Step-by-step explanation:

Independent events of probability are not affected by previous events.  This means that for each event, your probability is the same as before no matter the outcome of the previous events.  So, if you pull a sock from a drawer and replace it, you still have the same probability of getting that sock, or any other sock, from the drawer as you did before.  For example, if there are 10 black socks and 8 white socks, there are a total of 18 socks.  You have a 8/18 (or 4/9) chance of getting a white sock.  If you replace it, you will still have a 4/9 chance of getting a white sock again.  

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get