What are the next three terms in the sequence 4096, 1024, 256, 64, ...?

16,4, and 1

Step-by-step explanation:

You divide by 4

4096 divided by 4 gives 1024

1024 divided by 4 gives 256

256 divided by 4 gives 64

So

 64 divided by 4 gives 16

 16 divided by 4 gives 4

  4 divided by 4 gives 1

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.