Mr. Gilliam estimates the following probabilities that different students will pass the AP test. Assume that passing the test is independent. Leslie 70%
Helen 60%
Kent 40%

Which of the following events is MOST likely?

A. Kent passed, Helen fails
B. Leslie fails, Helen passes
C. Leslie fails, Kent passes
D. Leslie passes, Helen passes
E. Helen fails, Kent fails

Step-by-step explanation:

The  straight line equation is:

y = m*x  + b     Where m is the slope of the line and b the intercept with   y-axis, in our case y is the depth of the tank and x (time in lapsus of 3 hours).

The slope m  =  ( y₂ -  y₁ ) / (x₂ - x₁)

We have point  A ( 3 , 8 )  and point  B ( 6 , 7 )

m  = ( 6 - 3 ) / (7 - 8 )  m = -3

We see that  each 3 hours time-depth decreases  1 in.

Then   to find the depth at the beginning of x-axis

At  noon     12   tank was  9 inches, three hours before at 9 in the morning the depth was 10 inches and:

9  in the morning   10

6  in the morning   11

3  in the midnight   12

12 in the night         13

Then 13 is the intercept with y-axis

then the equation is:

h = - 3*x + 13

Note x is time in lapsus  of 3 hours