Answer: The answer is (d) Accurately predicting who will be promoted at work.
Step-by-step explanation: We are given four options and asked in which of these four, we can use binomial distribution.
Binomial distribution is used in that experiments where there are only two outcomes, either success or failure.
In the given four options, (a), (c) and (d) are incorrect, because the number of outcomes are not fixed there and hence we cannot use binomial distribution.
Only option (b) will serve our purpose, as we are accurately predicting who is getting promoted at work.
Thus, the correct option is (b).
Eight hundred and ninety-six point eight hundred and fifty-four.
ANSWER
to the nearest hundredth.
EXPLANATION
We have the equation,

Which can be rewritten as

The question demands the use of the quadratic formula.
Comparing this to the general quadratic equation;


The quadratic formula is given by;

We now substitute all the values in to the formula;

We simplify to obtain;


We now split the plus or minus sign to obtain;

This implies that;

Or

This will evaluate to;

Hence, the positive solution rounded to the nearest hundredth is
