Answer:
0.0025 = 0.25% probability that both are defective
Step-by-step explanation:
For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
5 percent of these are defective.
This means that 
If two items are randomly selected as they come off the production line, what is the probability that both are defective
This is P(X = 2) when n = 2. So


0.0025 = 0.25% probability that both are defective
Answer:
hope this helps
Step-by-step explanation:
x = 7
25 = 5*5 and 9 = 3*3, which we can exploit to write

so that this expression is actually a difference of squares. We can factorize this to get

and given that
, we divide both sides by this to get

well to get decimal notation you would just multiply that out. so if you took 1.01x10^4 and multiply it out, it would equal 10,100.