Question

There are 40 math teachers, 45 English teachers, 27 science teachers, and 32 social studies teachers. The superintendent of the region wants to select a board of 20 teachers. How many science teachers should he select?

Answer 1

Answer:

Superintendent of the region will select approximately 4 Science teachers in the board.

Step-by-step explanation:

Given:

Number of math teachers = 40

Number of English teachers = 45

Number of Science teachers = 27

Number Social Studies teachers = 32

Number of teachers to be selected in the board =20

We need to find the number Science teachers should be selected in the board.

Solution:

First we ill find the Total number of teachers.

Now we can say that;

Total number of teachers is equal to sum of Number of math teachers, Number of English teachers,Number of Science teachers and Number Social Studies teachers

framing in equation form we get;

Total number of teachers = $40+45+27+32=144$

Probability of Science teacher can be calculated by Dividing Number of Science teacher by Total number of teachers.

$P(S)=\frac{27}{144}=0.1875$

Now  the number of Science teachers should be selected in the board we need to multiply P(S) with Number of teachers to be selected in the board.

framing in equation form we get;

number of Science teachers should be selected in the board = $0.1875\times 20=3.75\approx4$

Hence We can say that;

Superintendent of the region will select approximately 4 Science teachers in the board.