Joe and Tim observed two points, P and Q, on a number line.

A number line is shown from negative 1 to positive 1 with increments of 1 over 8. A point P is shown at the third tick mark to the left of 0, and a point Q is shown at the third tick mark to the right of 0.

Joe said that the absolute values of the numbers represented by the two points are different.

Tim said that the absolute values of the numbers represented by the two points are the same.

Which of the following explains who is correct?

Joe, because the points have different signs
Tim, because each point is fraction 3 over 8 unit away from 0
Tim, because the distance between the points is fraction 3 over 8 unit
Joe, because the points are at different locations

32

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.

x is the total time in minutes for the free response

you are given number of questions as 15 - m and time per item as 8 minutes

to find x multiply the two givens together:

x = 8 * (15-m) = 8(15-m)

answer: (3,11) is your answer.