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.
Answer:
The value of a is 10.
Step-by-step explanation:
We are given with the following pair of the linear system of equations below;
and
.
Also, the solution is given as (a, -1).
To find the value of 'a', we have to substitute the solution in the equation because it is stated that (a, -1) is the solution of the given two equations.
So, the x coordinate value of the solution is a and the y coordinate value of the solution is (-1).
First, taking the equation;
Put the value of x = a and y = -1;
(-1) = -(a) + 9
a = 9 + 1 = 10
Now, taking the second equation;

Put the value of x = a and y = -1;

0.5a = 6 - 1
0.5a = 5
a = 10
Since we get the value of a = 10 from the equations, so the value of a is 10.