Question

subjects taught

	english	not english	total
not math	40	8	48
total	74	30	104

which is the joint relative frequency for teachers who teach math and not english? round the answer to the nearest percent.
8%
21%
33%
38%

Explanation:

Step1: Recall joint - relative frequency formula

Joint relative frequency = $\frac{\text{Frequency of the cell}}{\text{Total frequency}}$

Step2: Identify relevant frequencies

Frequency of teachers who teach math and not English is 22. Total frequency is 104.

Step3: Calculate joint - relative frequency

$\frac{22}{104}\approx0.2115$

Step4: Convert to percentage

$0.2115\times100 = 21.15\%$, rounded to 21%

Answer:

21%