The result is a line perpendicular to y=3x-2
This line has the following equation: y =mx + b, where m = slope
Remember that the product of the slopes of two perpendicular lines is always = -1 (or in other term one is the reciprocal inverse of the other) so the
first slope = 3 and the sope perpendicular to 3 will be - 1/3.
Then the new equation is y = - 1/3(x) + b
How to calculate b? This line passes through (6, 8), that
means (x=6 and y=8) . Plug these values in y = -1/3 (x)+b:3
8=(-1/3)(6) + b;
8= - 2 + b and b = 10
Te final equation is y = - 1/3.x+10 (answer A)
Subtract 76 on both sides:
2401 - 76 = 76 - 2x - 76
2325 = -2x
Divide both sides by -2:
-1162.5 = x
0.5 is less then 6/10 because 6/10 is equal to 0.6
As this is probability, we can use the next formulas and tell how is this going to be:
P(A) = student on the dean's list
<span>P(B) = student taking calculus </span>
<span>P(A n B) = 0.042 </span>
<span>P(A) = 0.21 </span>
<span>So, P(B) = 0.042/0.21 </span>
<span>= 0.2
So the probability here is of 0.2</span>
