The answer is choice B
y > (2/3)x + 1
The boundary line is the equation y = (2/3)x + 1 which can be found through the slope formula to get m = 2/3. Then you use one of the two points on the line to find b = 1.
The equal sign in y = (2/3)x + 1 changes to a "greater than" sign to indicate two things
A) The shaded region is above the boundary line
B) The boundary line itself is a dashed line to indicate "no solution points on this line"
When writing equivalent expressions, there are often several possible orders in which to simplify them. However, they will all take you to the same result as long as you do not make a mistake when using the properties. In this example, you will distribute the outer exponent first using the Power of a Product Property.
Divide both the numerator and denominator by the GCD so it’s 12/1
This is an example of "classical probability". Whenever the probability of all events is the same, then the probability is calculated by dividing the number of "favorable events" of total events.
For this problem, the total number of events is the total number of balls, it is 40. The number of favorable events it the number of pink balls, it is 6.
So, the answer is 6/40, which can be written as 3/20.
