Answer:
1.We say a coin is fair if it has probability 1/2 of landing heads up and probability 1/2 of landing tails up. What is the probability that if we flip two fair coins, both will land heads up? It seems plausible that each should be equally likely. If so, each has probability of 1/4.
2.The probability of getting heads on the toss of a coin is 0.5. If we consider all possible outcomes of the toss of two coins as shown, there is only one outcome of the four in which both coins have come up heads, so the probability of getting heads on both coins is 0.25.
3.his states that the probability of the occurrence of two mutually exclusive events is the sum of their individual probabilities. As you can see from the picture, the probability of getting one head and one tail on the toss of two coins is 0
Step-by-step explanation:
Answer:
(2/3, 13/3) (Exactly one solution)
Step-by-step explanation:
Write these equations in a column:
x+y=5
2x-y=-3
Note that we can eliminate y immediately by adding these two equations together. We get:
3x = 2, so that x = 2/3.
Substituting 2/3 for x in the first equation, we get:
2/3 + y = 5. Clear out fractions by multiplying all three terms by 3:
2 + 3y = 15, or 3y = 13. Then y = 13/3, and the solution is
(2/3, 13/3) There is exactly one solution.
Answer: 464 km²
Step-by-step explanation:
We will break this shape up into two parts. You can do this in two different ways, see attached for how I did it.
Area of a rectangle is A = L * W;
40 km * 9 km = 360 km²
13km * 8 km = 104 km²
Now we will add them together for total area:
360 km² + 104 km² = 464 km²