Given \(\triangle DEF\ :\ \triangle RST\), find the scale factor.

The required scale factor

Step-by-step explanation:

Formula :

Here, ED = 3 units  in Δ DEF which corresponding to SR = 4 units in ΔRST

Now,

Scale factor for the given transformation =

hence, the required scale factor

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.