Suppose y varies directly with x, and y=25 when x=140. what is the value of y when x=36

Step-by-step explanation:

Direct Proportions

A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:

Where k is a constant.

We know y=25 when x=140, and it's required to find the value of when x=36.

For any pair of values (x,y), their ratio is constant:

Multiplying by 36:

Simplifying:

y = x + 95

y = 42 + 95

y=137 mm hg

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.