At a highschool, 90% of the students take Physics and 35% of the students take both Physics and Statistics. What is the probability that a student that is taking Physics is also taking Statistics?

38.89% probability that a student that is taking Physics is also taking Statistics

Step-by-step explanation:

We use the conditional probability formula to solve this question.

Suppose we have two events.

Event A and Event B.

The formula:

In which

P(B|A) is the probability of B happening, given that A has happened.

is the probability of these two events happening.

P(A) is the probability of A happening.

In this problem, we have that:

Event A: taking physics

Event B: taking statistics.

90% of the students take Physics

This means that

35% of the students take both Physics and Statistics.

This means that

What is the probability that a student that is taking Physics is also taking Statistics?

38.89% probability that a student that is taking Physics is also taking Statistics

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w