Answer:
3.33%
Step-by-step explanation:
(62/60)X100=103.33 meaning the bottle was overfilled by 3.33%
Brainliest please
14 - 12 = 2 dollars left over to buy containers. They each got one container each.
Question Continuation:
if (a) the books can be arranged in any order?
(b) the mathematics books must be together and the novels must be together?
Answer:
(a) 3628800 ways
(b) 17280 ways
Step-by-step explanation:
Given
![Novels = 5](https://tex.z-dn.net/?f=Novels%20%3D%205)
![Mathematics = 4](https://tex.z-dn.net/?f=Mathematics%20%3D%204)
![Biology = 1](https://tex.z-dn.net/?f=Biology%20%3D%201)
Solving (a): In any order
This implies that there is no restriction and the novels, mathematics and biology book are just seen as books.
Total number of books is:
![N = Mathematics + Novel + Biology](https://tex.z-dn.net/?f=N%20%3D%20Mathematics%20%2B%20Novel%20%2B%20Biology)
![N = 4+5+1](https://tex.z-dn.net/?f=N%20%3D%204%2B5%2B1)
![N = 10](https://tex.z-dn.net/?f=N%20%3D%2010)
The number of arrangement is:
![10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1](https://tex.z-dn.net/?f=10%21%20%3D%2010%20%2A%209%20%2A%208%20%2A%207%20%2A%206%20%2A%205%20%2A%204%20%2A%203%20%2A%202%20%2A%201)
![10! = 3628800\ ways](https://tex.z-dn.net/?f=10%21%20%3D%203628800%5C%20ways)
(b):
If the mathematics books are together, there are 4! different arrangements
If the novels are together, there are 5! different arrangements
Now, there are 3 bundles.
- The mathematics books as 1
- The novels as 1
- The biology book
This can be arranged in 3! ways.
Total number of arrangement is:
![Total = 4! * 5! * 3!](https://tex.z-dn.net/?f=Total%20%3D%204%21%20%2A%205%21%20%2A%203%21)
![Total = 4*3*2*1 * 5*4*3*2*1 * 3*2*1](https://tex.z-dn.net/?f=Total%20%3D%204%2A3%2A2%2A1%20%2A%205%2A4%2A3%2A2%2A1%20%2A%203%2A2%2A1)
![Total = 17280\ ways](https://tex.z-dn.net/?f=Total%20%3D%2017280%5C%20ways)
Answer:
5(42)-5(12)=5(30)
Step-by-step explanation:
5(42)-5(12)=150
5x30=150