Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). A construction crew is extending the length of the center line on a highway. The length of the line starts out as 6 meters long, which is represented on a coordinate plane as the point (0,6). The crew works for 20 minutes and the line is now 17 meters long, which is represented as the point (20,17). Complete the equation that represents the relationship between x, the number of minutes spent working, and y, the length of the line, in meters.

Step-by-step explanation:

Given:

Two points are given

x = number of minutes

y = length of the lin

⇒ (0, 6)

⇒ (20, 17)

We need to find the equation that represents the relationship between x, y.

Solution:

Using slope formula to find the slope of the equation of the line.

Substitute = (0, 6) and = (20, 17) in above equation.

So, slope of the line

Using point slope formula.

------------(1)

Where, m = slope of the line

Substitute ⇒ (0, 6) and in equation 1.

Add 6 both side of the equation.

Therefore, the equation that represents the relationship between x and y is written as:

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.