Answer/Step-by-step explanation:
I did the work on paper:
In a class of 24 kids, for every 1 boy there are 4 girls
Magnitude (how much) and multitude (how many), the two principal types of quantities, are further divided as mathematical and physical.
Answer:
0.0326 = 3.26% probability that she is a student.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Woman developer
Event B: Student
Probability that the developer is a woman:
7.4% of 25.8%(students).
76.4% of 100 - 25.8 = 74.2%(not students). So

Student and woman developer.
7.4% of 25.8%(students), so

If we encounter a woman developer, what is the probability that she is a student

0.0326 = 3.26% probability that she is a student.
Given:
The equation is:

To find:
The next step in simplifying the equation by using distributive property.
Solution:
Distributive property: According to this property if a, b and c are three real numbers, then

We have,

Using the distributive property, we get

It can be written as:

Therefore, the next step of the simplification is
.