Answer:
a = 64
Step-by-step explanation:
The geometric mean of 2 numbers a and b is , then
= 16
( square both sides )
28a = (16 )² = 1792 ( divide both sides by 28 )
a = 64
At the beginning of football season, Coach Carnes takes inventory of the team equipment to see what he needs. He counts 24 footb
1 answer:
You might be interested in
Firstly, we'll fix the postions where the women will be. We have
forms to do that. So, we'll obtain a row like:
The n+1 spaces represented by the underline positions will receive the men of the row. Then,
Since there is no women sitting together, we must write that . It guarantees that there is at least one man between two consecutive women. We'll do some substitutions:
The equation (i) can be rewritten as:
We obtained a linear problem of non-negative integer solutions in (ii). The number of solutions to this type of problem are known:
[I can write the proof if you want]
Now, we just have to calculate the number of forms to permute the men that are dispposed in the row:
Multiplying all results: