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fomenos
3 years ago
11

A large company that must hire a new president prepares a final list of five candidates, all of whom are equally qualified. Two

of these candidates are members of a minority group. To avoid bias in the selection of the candidate, the company decides to select the president by lottery. a. What is the probability one of the minority candidates is hired
Mathematics
1 answer:
MrRissso [65]3 years ago
4 0

Answer:

The probability that one of the minority candidates is hired is P;

P = Nm/Nt

P = 2/5 = 0.4

Step-by-step explanation:

Total number of Candidates on the list Nt= 5

Number of minority candidates on the list Nm= 2

The probability that one of the minority candidates is hired is P;

P = Nm/Nt

P = 2/5 = 0.4

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Step-by-step explanation:

<u>Simplifying Rational Expressions</u>

If two or more rational expressions have the same denominator, the add and subtract operations are done only with the numerator. The final denominator will be the common of both.

The expression is:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}

Operating on the numerators:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{4q^2-q+3-(3q^2-q-6)}{q^2+6q+5}

Removing parentheses:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{4q^2-q+3-3q^2+q+6}{q^2+6q+5}

Simplifying:

\boxed{\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{q^2+9}{q^2+6q+5}}

The expression cannot be further simplified.

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