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: 12 1/2 years
Step-by-step explanation:
If the salary doubling in currency, it would need a 100% raise. Simply divide 100% by 8% to get the number of years needed.
100 / 8 = 12.5 or 12 1/2
8% of 25,000 = 2,000
25,000 / 2,000 = 12.5 or 12 1/2
Answer:
(11+-3)(1/2)
Step-by-step explanation:
Answer:
25 feet.
Step-by-step explanation:
Let x represent length of diagonal.
We have been given that Marcus is setting the corner supports for a new deck that measures 15 feet by 20 feet. We are asked to find the length of the diagonal such that Marcus's deck is a perfect rectangle.
We know that each angle of a rectangle is a right angle.
We will use Pythagoras theorem to find the length of diagonal as:
Upon taking positive square root of both sides, w e will get:
Therefore, the length of the diagonals should be 25 feet.