Question

the two - way table represents data from a survey asking teachers whether they teach english, math, or both. subject taught english not english total math 34 22 56 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.

Explanation:

Step1: Recall joint - relative frequency formula

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

Step2: Identify relevant values

The frequency of teachers who teach math and not English is 22. The total number of teachers surveyed is 104.

Step3: Calculate joint - relative frequency

Joint relative frequency = $\frac{22}{104}\approx 0.2115$

Step4: Convert to percentage

$0.2115\times100 = 21.15\%$. Rounding to the nearest percent gives 21%.

Answer:

21%