Answer:
3031081 / 40678884
Step-by-step explanation:
To solve this, we can find the surface area of the moon and Earth, and then see how much the moon covers the Earth. The surface area of a sphere is equal to 4πr², so the radius of the Earth is
4πr² = 4 * π * 6378²
and the radius of the moon is
4πr² = 4 * π * 1741²
To figure out how much of the Earth's surface that the moon covers, we can implement a ratio of moons:Earth. This will give us an understanding of how many moons go inside one Earth. We thus have
(4 * π * 1741²) : ( 4 * π * 6378²) = (4 * π * 1741²) / ( 4 * π * 6378²)
cross out the 4 * π in the numerator and denominator
1741²/6378²
Next, we want to make the denominator 1, as that gives us 1 Earth. To do this, we can divide both the numerator and denominator by 6378². Because we are applying the same expression to both the numerator and denominator, this is essentially multiplying the fraction by 1, keeping it the same. We thus have
(1741²/6378²)/(6378²/6378²)
≈0.0745/1
≈ 0.0745
To put this in a fraction, we would have
(1741²/6378²)/1
= (1741²/6378²)
= 3031081 / 40678884
Answer:
1 / 2
Step-by-step explanation:
- First observe that the fate of the last person is determined the moment either the first or the last seat is selected! This is because the last person will either get the first seat or the last seat. Any other seat will necessarily be taken by the time the last guy gets to 'choose'.
- Since at each choice step, the first or last is equally probable to be taken, the last person will get either the first or last with equal probability: 1/2
- Armed with the key observation, we see that the event that the last person's correct seat is free, is exactly the same as the event that the first person's seat was taken before the last person's seat.
- Well, each person had to make a random choice, was equally likely to choose the first person's seat or the last person's seat - the random chooser exhibits absolutely no preference towards a particular seat. This means that the probability that one seat is taken before the other must be 1/2
Answer:
$30,750
Step-by-step explanation:.
Paso uno:
datos dados
costo del auto = $ 37,500
% degradación = 18%
= 18/100 * 37,500
= 0,18 * 37,500
= $ 6750
Segundo paso:
deje que el costo total sea T
Por lo tanto
T = coste del coche-% de degradación
T = 37.500-6750
T = 30,750
75/100 is less than 8/10.
8/10 can be equivalent to 80/100.
75/100 is less than 80/100.
Hope this helps.
Remark
There are 16 results of throwing a coin 4 times.
Answer 4 first.
These are independent events. No matter what the first result or the second or the third result is outcome can only be 1/2 for any given throw. One event does not influence any other.
One
What this means is that it does not matter what else might be true as long as the second event is heads. So you count THTT and HHHH as both being true. If you use your table, I believe there are 8 results where heads is in the second position.
Two
The last position will also contain heats 8 times. Just count them up. Some of them will be duplicated from your first answer. It does not matter. For example, HHHH will appear in both lists.
Three
For Heads in the second AND the last position you should get 4. They are HHHH THHH THTH HHTH
Answers
P(one) = 8/16. You get 8 answers out of 16 to get a heads in position 2.
P(Two) = 8/16. You get 8 answers out of 16 to get a heads in position 4
P(Three) = 4/16. You get 4 answers out of 16 to get a heads in positions 2 and 4