a. Use the inclusion/exclusion principle.

b. By definition of conditional probability,

Hi there! The third option shows us the best setup.
We can find the area of a triangle with the standard formula area = 1/2 * base * height.
To be able to fill in this formula, we need to have a base and a height. We can't easily find a triangle with given base and height, so we must look for another option.
We can also take the area of a square (length × width) and then divide the answer by 2. This is possible when we take the third setup. Hence the third answer is correct.
Answer:
Parallel Slope: -3 Perpendicular Slope: 1/3
Step-by-step explanation:
First, solve for y to get the simplified equation for the line.
Once you solve, the equation should be y=-3x+2
Seeing this, we know that the slope of this line is -3. A line parallel will have the same slope as the original equation, and a line perpendicular will have a slope that is the opposite reciprocal.
Hope that helps!
Given:X: The blue marbles.
3X: The red marbles.
A box contains
144 marbles.
SOLVING:X + 3X = 144
4X = 144
X =

X = 36
===> The blue marbles.If there are
3 times as many red marbles as there are blue marbles:
3(36) = 108
===> The red marbles. SOLUTION
TESTING:

GOOD LUCK...!!!
4839400 I'm not really sure but standard form is writing a number regularly ex/the standard form of four is 4