Answer:
(a) yes
(b) 1/36
(c) 1/36
(d) 1/18
Step-by-step explanation:
(a) yes they are independent as the outcome of one does not affect the outcome of the other.
(b) As the dice are fair, each possible number (1 through 6) has the same probability of being rolled.
P(1 on green die) = 1/6
P(2 on red die) = 1/6
Therefore, P(1 on green die) AND P(2 on red die) = 1/6 × 1/6 = 1/36
(c) Again, as the dice are fair, each possible number (1 through 6) has the same probability of being rolled.
P(2 on green die) = 1/6
P(1 on red die) = 1/6
Therefore, P(2 on green die) AND P(1 on red die) = 1/6 × 1/6 = 1/36
(d) p[(1 on green die and 2 on red die) OR (2 on green die and 1 on red die)
= 1/36 + 1/36
= 2/36
= 1/18
The graph of the line y = -6 is a horizontal line which passes through the y axis at -6. On the other hand, the graph of the equation, x = 1/6 is a vertical line that passes through the x-axis at 1/6. The intersection of these lines is at a point that is expressed as (1/6, -6).
Answer:
D) -20/-5 because a negative divided by a negative is a positive.
Step-by-step explanation:
Answer: There are 152 apples.
The explanation is shown below:
- You need to write the following three equations, where
is the the number of apples,
is the number of pears and
is the number of oranges:
1) 
2) 
3) 
- You must substitute the equation 3) into the equation 2):

- Now, you need to solve for
in the equation 1) and then you must substitute it into
:


- Solve for
, as following:

- Therefore, there are 152 apples.