Since the dice are fair and the rolling are independent, each single outcome has probability 1/15. Every time we choose
We have 
and 
, because the dice are fair.
Now we use the assumption of independence to claim that
Now, we simply have to count in how many ways we can obtain every possible outcome for the sum. Consider the attached table: we can see that we can obtain:
- 2 in a unique way (1+1)
- 3 in two possible ways (1+2, 2+1)
- 4 in three possible ways
- 5 in three possible ways
- 6 in three possible ways
- 7 in two possible ways
- 8 in a unique way
This implies that the probabilities of the outcomes of 
are the number of possible ways divided by 15: we can obtain 2 and 8 with probability 1/15, 3 and 7 with probability 2/15, and 4, 5 and 6 with probabilities 3/15=1/5
To solve, set an equation:
472=0.8x
Divide both sides by 0.8
472/0.8=0.8x/0.8
x=590
Answer: The original price was $590
The answer is 15
From the graph:
Car A traveled 60 miles in one hour
Car B traveled 75 miles in one hour.
Car B travels 15 more miles per hour
78 units squared add together 27.5+12+22+16.5 and you’ll get your answer for triangles it’s 1/2bh and for the rectangles it’s just bh. hope this helped!
either
-(3x+3)-2x (less than) -4(x-2)-2
-3x+3-2x (less than) -4x +8-2
-5x+3 (less than)-4x+6
Or if you need it simplified
-5x +3 (less than) -4x+6
+4x 4x
-x+3 (less than) 6
-3 -3
-x(less than) 3
(-x/-1) Less than (3/-1)
x (less than) -3
(didnt have the less than greater than sign so typed it)
