Answer: The first experiment has M probabilities, and the second has I(m) outcomes, that depends on the result of the first.
And lets call m to the result of the first experiment.
If the outcome of the first experiment is 1, then the second experiment has 1 possible outcome.
If the outcome of the first experiment is 2, then the second experiment has 2 possibles outcomes.
If the outcome of the first experiment is M, then the second experiment has M possibles outcomes.
And so on.
So the total number of combinations C is the sum of all the cases, where we exami
1 outcome for m = 1
+
2 outcomes for m=2
+
.
.
.
+
M outcomes for m = M
C = 1 + 2 + 3 + 4 +...´+M
Answer:
Step-by-step explanation:
Slope: -3
y-intercept: -2 (y-intercept is where a line cross the y-axis, vertical line)
Pencil on the y-intercept, three down and one to the right, then trace the line from -2 on the y-axis.
Answer:
No solutions
Step-by-step explanation:
Let's solve your equation step-by-step.
3(6d−24)=6(12+3d)
Step 1: Simplify both sides of the equation.
3(6d−24)=6(12+3d)
(3)(6d)+(3)(−24)=(6)(12)+(6)(3d)(Distribute)
18d+−72=72+18d
18d−72=18d+72
Step 2: Subtract 18d from both sides.
18d−72−18d=18d+72−18d
−72=72
Step 3: Add 72 to both sides.
−72+72=72+72
0=144
Answer:
There are no solutions.
Answer:

Step-by-step explanation:
The side length of a square is represented by the expression 2x + 5.
The area of a square is given as:

where a = length of side of the square
The area of the square is therefore:

The perimeter of a square is given as:

The perimeter of the square is therefore:

The difference between the area of the square and the perimeter of the square is:

The expression that represents the difference between the area and the perimeter of the square is:

Answer:
6√2
Step-by-step explanation:
from the graph the coordinates of the points are (2, 5) and (- 4, -1)
the distance is d= √(x2-x1)²+(y2-y1)² = √(-4-2)²+(-1-5)²=√72 = √2*2*2*3*3= 6√2