This is a simple simplification problem (ha!).
14/10 is an improper fraction. Since a fraction can also be a division expression, 14 divided by 10 equals 1 with a remainder of 4.
Since we have the answer, we can now produce a mixed fraction of:
4
1 ---
10
Since 4/10 is equal to 2/5,
4 2
1 --- is equal to 1 ---
10 5
A) is 2x
b) is

c) is -2x
I think these are correct.
![log_{10}1000^{x] = log_{10}10^{2x}=2x](https://tex.z-dn.net/?f=log_%7B10%7D1000%5E%7Bx%5D%20%3D%20log_%7B10%7D10%5E%7B2x%7D%3D2x)
I did similar things to get other answers
Necessary and sufficient conditions for application of binomial distribution :
1. trial must be Bernoulli, i.e. exactly two outcomes (defective or not defective)
2. number of trails is known and not dependent on outcomes (2).
3. probability of each trial must be known and is constant throughout trials (3/10, with replacement)
4. all trials are random and independent of each other.