Fifty two percent of students at a local college works (for pay) in addition to being students, and $$ 39 \% $$ of the students at the school are parents. $$ 14 \% $$ of students fit into both categories. What percentage of the student body either work or are parents (or both)? 978 B485 77\% E25

Question

UpStudy AI · Accepted Answer

To find the percentage of students who either work or are parents (or both), we can use the principle of inclusion-exclusion.

Let:
- $$ A $$ be the set of students who work.
- $$ B $$ be the set of students who are parents.

From the problem, we have:
- $$ P(A) = 52\% $$ (percentage of students who work)
- $$ P(B) = 39\% $$ (percentage of students who are parents)
- $$ P(A \cap B) = 14\% $$ (percentage of students who both work and are parents)

We want to find $$ P(A \cup B) $$, which is the percentage of students who either work or are parents (or both). The formula for this is:

$$
P(A \cup B) = P(A) + P(B) - P(A \cap B)
$$

Now, substituting the values we have:

$$
P(A \cup B) = 52\% + 39\% - 14\%
$$

Let's calculate this step by step:

1. Calculate $$ 52\% + 39\% $$:
   $$
   52 + 39 = 91
   $$

2. Subtract $$ 14\% $$:
   $$
   91 - 14 = 77
   $$

Thus, the percentage of the student body that either works or are parents (or both) is $$ 77\% $$.

The final answer is $$ 77\% $$.
77% of the student body either works or are parents (or both).

Fifty two percent of students at a local college works (for pay) in addition to being students, and \( 39 \% \) of the students at the school are parents. \( 14 \% \) of students fit into both categories. What percentage of the student body either work or are parents (or both)? 978 B485 77\% E25

Upstudy AI Solution

Answer

Solution

Beyond the Answer

Related Questions

Latest Statistics Questions