Answer:
a)
H - H - H
H - H - T
H - T - H
H - T - T
T - H - H
T - H - T
T - T - H
T - T - T
b)
0.125 = 12.5% probability that all three coins come up heads.
0.875 = 87.5% probability that there will be at least one tail.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Question a:
Considering H for heads, T for tails:
H - H - H
H - H - T
H - T - H
H - T - T
T - H - H
T - H - T
T - T - H
T - T - T
(b) What is the probability that all three coins come up heads?
One outcome(H - H - H) out of 8, so:
0.125 = 12.5% probability that all three coins come up heads.
Notice that the complement of the event "3 heads" is "at least one tail." Use this information to compute the probability that there will be at least one tail.
Sum of these probabilities is 100%, so:
1 - 0.125 = 0.875
0.875 = 87.5% probability that there will be at least one tail.
Answer:
The revenue for 105 units will be <u>5985 thousand dollars.</u>
Step-by-step explanation:
Given:
The number of units is represented as 'u' and the revenue in thousands is represented as 'R'.
Let us find the ratio 'R' and 'u' and check the type of relationship.
Therefore, the ratio is a constant. Hence, the relationship is a proportional relationship.
A proportional relationship is given as:
Where, 'k' is the constant of proportionality and is equal to the ratio of any two values of 'R' and 'n'.
Therefore,
So, the relationship is
Now, we are asked to determine 'R' when . Plug in 105 for 'n' in the above relationship and find 'R'. This gives,
Therefore, the revenue for 105 units will be 5985 thousand dollars.
70 is the diameter
35 is the radius
area = 3.14(r)^2
3.14(35)^2 = 3846.12^2
last ofpion
Answer:
Line A is the
✔ y-axis
Region B is
✔ a quadrant
Point C is the
✔ origin
Line D is the
✔ x-axis
Step-by-step explanation: Did it on Edgen
Answer:
A and D
Step-by-step explanation: