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
Step-by-step explanation:
-7(y-1)= 21
-7y+7=21
-7y=21-7
-7y=14
divide by-7
y=-2
Answer:
(-3, 7)
Step-by-step explanation:
It is like putting a mirror on the y-axis. It is asking what point is the photo negative of the point, like a mirror. You see yourself in the mirror but everything is opposite. Your right hand is your left. So which point is the photo negative of (3, 7)? (-3, 7) Because it is only across the y-axis, the y value stays the same.
Answer:
. We assume, that the number 260 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 260 is 100%, so we can write it down as 260=100%.
4. We know, that x is 6.75% of the output value, so we can write it down as x=6.75%.
5. Now we have two simple equations:
1) 260=100%
2) x=6.75%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
260/x=100%/6.75%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 6.75% of 260
260/x=100/6.75
(260/x)*x=(100/6.75)*x - we multiply both sides of the equation by x
260=14.814814814815*x - we divide both sides of the equation by (14.814814814815) to get x
260/14.814814814815=x
17.55=x
x=17.55
now we have:
6.75% of 260=17.55
Step-by-step explanation:
Answer:
0.12 is the required probability.
Step-by-step explanation:
We are given the following in the question:
A: next component brought in for repair is an audio component
B: event that the next component is a compact disc player
We have to evaluate:
0.12 is the required probability.
