We have been given two expressions
. We are asked to find the value of each.
To find 9P9, we will use permutations formula.
, where
P = Number of permutations,
n = The total number of objects in the set,
r = Number of objects being chosen from the set.


Using 

To find 9C9, we will use combinations formula.
, where
C = Number of combinations,
n = The total number of objects in the set,
r = Number of objects being chosen from the set.


Using 
Cancelling out
, we will get:


The answers differ because order. With permutations we care about the order of the elements, while with combinations we don't.
40% of 20 is 8 Boys
60% of 20 is 12 Girls
50% of the Girls is 6
25% of the Boys is 2
6 + 2 = 8 Students wore glasses
Hope this helps!
9514 1404 393
Answer:
7.84 to 8.16 ounces
Step-by-step explanation:
The difference between the actual amount in the bottle and the target amount of 8 ounces can be at most 2% of 8 ounces. That amount is ...
0.02×8 oz = 0.16 oz
The amount in the bottle can be this much higher:
8 + 0.16 = 8.16 . . . ounces
or, it can be that much lower:
8 - 0.16 = 7.84 . . . ounces
The range of values the bottle could contain is from 7.84 ounces to 8.16 ounces.
Answer:
The volume of the box is 3/4 cubic meters.
Step-by-step explanation:
We know that volume = length * width * height. We have length, width, and height already, so all we have to do is multiply.
5/6 * 1 1/8 * 4/5. First we convert 1 1/8 from a mixed fraction, to give us 9/8, as 8/8 = 1.
5/6 * 9/8 * 4/5. 5 * 9 = 45, and 6 * 8 = 48. 45/48 reduces to 15/16.
15/16 * 4/5. 15 * 4 = 60, and 16 * 5 = 80. 60/80 reduces to 6/8, which reduces to 3/4.
Answer: 3n ×9
Step-by-step explanation:
The product of 3 times a N number equals 3n or 3 ×N but you should write 3n then times it by 9