Answer:
Option D, All of the terms are odd
Step-by-step explanation:
According to the image description provided:
Term one starts with one dot. One is an odd number.
If you add two to an odd number, the sum would be another odd number. This is what's happening with the pattern.
For example:

Three is an odd number. If you add two to it, you would get five, which is another odd number.
Term two has 3 dots, term three has 5 dots, term four has 7 dots.
So, all terms should be odd.
Option D should be the correct answer.
The remainder in a division is always less than the number you are dividing by. Since the division is by 9, the reminder can be at most 8. 17 is definitely incorrect.
Answer:
Case(a): ![p[b]=\frac{1}{3}p[a]](https://tex.z-dn.net/?f=p%5Bb%5D%3D%5Cfrac%7B1%7D%7B3%7Dp%5Ba%5D)
Case(b): ![p[b]=0](https://tex.z-dn.net/?f=p%5Bb%5D%3D0)
Case(c): ![p[b]=\frac{1}{2}p[a\cap b]](https://tex.z-dn.net/?f=p%5Bb%5D%3D%5Cfrac%7B1%7D%7B2%7Dp%5Ba%5Ccap%20b%5D)
Step-by-step explanation:
Given
(a) events a and b are a partition and p[a] = 3p[b].
(b) for events a and b, p[a ∪ b] = p[a] and p[a ∩ b] = 0.
(c) for events a and b, p[a ∪ b] = p[a]− p[b].
we have to find the p[b] in each case:
Case (a): events a and b are a partition and p[a] = 3p[b].
gives ![p[b]=\frac{1}{3}p[a]](https://tex.z-dn.net/?f=p%5Bb%5D%3D%5Cfrac%7B1%7D%7B3%7Dp%5Ba%5D)
Case (b): for events a and b, p[a ∪ b] = p[a] and p[a ∩ b] = 0.
⇒
⇒
∵ p[a ∩ b] = 0.
Case(3): for events a and b, p[a ∪ b] = p[a]− p[b].
p[a ∪ b] = p[a]− p[b]
⇒ ![p[a]+p[b]-p[a\cap b]=p[a]-p[b]](https://tex.z-dn.net/?f=p%5Ba%5D%2Bp%5Bb%5D-p%5Ba%5Ccap%20b%5D%3Dp%5Ba%5D-p%5Bb%5D)
⇒ ![2p[b]=p[a\cap b]](https://tex.z-dn.net/?f=2p%5Bb%5D%3Dp%5Ba%5Ccap%20b%5D)
⇒ ![p[b]=\frac{1}{2}p[a\cap b]](https://tex.z-dn.net/?f=p%5Bb%5D%3D%5Cfrac%7B1%7D%7B2%7Dp%5Ba%5Ccap%20b%5D)
Lets set up a ratio!
17.00USD per 51 pounds and 1 pound per x dollars.

next step. cross multiply for the answer :)
So all you have to do is take the first numbers of each multiple and multiply them.
1 x 2 x 3 x 4 = 24
Now you just add the 4 zeros to your answer.
240,000
Our answer even checks!
10 x 20 x 30 x 40 = 240,000
Good Luck! :)