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
It's 10 - 4
moving decimal over to the right makes a negative exponent.
Step-by-step explanation:
1.
Therefore,
2.
Use the identity
We chose the negative value of the cosine because of the condition where cot y > 0. Otherwise, choosing the positive root will yield a negative cotangent value. Now that we know the sine and cosine of y, we can now solve for the tangent:
3. Recall that sec x = 1/cos x, therefore cos x = 5/6. Solving for sin x,
Solving for tan x:
1/5 full =250g
4/5 full =550g
550g-250g=300g=3/5 without jug
1/5 without jug=300g/3=100g
250g-100g=150g
<u>The jug weighs 150g empty</u>
