Find an equation of variations if the following conditions exist: suppose m varies directly as p and m =20 when p=4

m = 5p

Step-by-step explanation:

Given that m varies directly as p then the equation relating them is

m = kp ← k is the constant of variation

To find k use the condition m = 20 when p = 4

k = = = 5

m = 5p ← equation of variation

d is correct

step-by-step explanation:

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.