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
-3x + 18 = 7x
3x + (-3x) + 18= 7x + 3x
18 = 10x
18 10x
— = —
10 10
1.8 = x
Answer: 5/6 inch/minute
Whenever you are working with a question of rate where two different quantities are being compared, the required units will indicate which quantity is to be divided by which.
In this case you want to know inches per minute.Therefore:
5
8
inches
÷
3
4
minute
5
8
÷
3
4
=
5
8
×
4
3
←
multiply by the reciprocal
=
5
8
2
×
4
3
=
5
6
Answer:
Step-by-step explanation:
Yay graphs!!!!!!
Okay so as you should know, the structure of a linear equation is y = mx + b.
B is the y-intercept
so the first thing to do is mark the coordinates (0,1) as the y-intercept
Now the slope is 1/4 x
this is also known as rise/run
A simpler way to do that is from (0,1) move up 1 and over four and place a point there
The coordinate should be (4,1)
Then draw a line through the two points
