For better understanding think of it this way. There are hundred customers, 60 orders coffee 35 orders pie and 30 does not order pie or coffee.
This means that 70 does order coffee or pie or both. Out of those 70 people 10 will not order coffee and 35 will not order pie. Thus 70-10-35=25 will order both coffee and pie.
P=0.25
im pretty sure it is 4.18x10^13
y - 3
g(y) = ------------------
y^2 - 3y + 9
To find the c. v., we must differentiate this function g(y) and set the derivative equal to zero:
(y^2 - 3y + 9)(1) - (y - 3)(2y - 3)
g '(y) = --------------------------------------------
(y^2 - 3y + 9)^2
Note carefully: The denom. has no real roots, so division by zero is not going to be an issue here.
Simplifying the denominator of the derivative,
(y^2 - 3y + 9)(1) - (y - 3)(2y - 3) => y^2 - 3y + 9 - [2y^2 - 3y - 6y + 9], or
-y^2 + 6y
Setting this result = to 0 produces the equation y(-y + 6) = 0, so
y = 0 and y = 6. These are your critical values. You may or may not have max or min at one or the other.
D) 180 because there are 180 possible combinations for the marbles to be picked out
Answer:
5,580
Step-by-step explanation:
Rectangle: 36x30x60=6480
Triangle: 1/2x15x20x6=900
6480-900=5,580
