If the support of the distribution is 0 ≤ <em>x</em> ≤ 15, then <em>P</em>(<em>x</em> > 15) is always 0
What we know:
Total of 140 animals
Rabbits are 5 less than one-half of cats
20 more cats than dogs
Work:
We know that there are 20 more cats than dogs. So we subtract that from 140, making it 120.
- Why: If we subtract 20 from 140, 120, cats and dogs have the same number.
c = cats
The equation is: 140 = (1/2c - 5) + (c - 20) + c
I don't know how to solve it, but this is my way:
Cats: 70 66
Dogs: 40 46
Rabbits: 30 28
I tried sort of guessing. I got near the first time, so I tried reducing it. Second time, it was the answer!
There are 28 rabbits, 66 cat, and 46 dogs.
I'm sorry for not being able to use real work, but I hope this helps a little.
To divide fractions just remember KFC
K: Keep (the first fraction)
F: Flip (the second fraction around)
C: Change (the divide symbol to multiplication)
2/7 ÷ 1/5
K
2/7 ÷ 1/5
F
2/7 ÷ 5/1
C
2/7 × 5/1
Multiply across
10/7
Hope this picture helps you