# Tutor profile: Rhoda A.

## Questions

### Subject: Basic Math

1/5 + 3/5= ?

To solve this fraction, we will first note that the fractions have a common denominator (5). A denominator is the number on the bottom of a fraction, while the number on top is called a numerator. To solve this we will add up the numerators (1 + 3) = 4. Addition, because this was the operation used in this equation. Since the denominator for both fractions are the same. It will continue to stay the same. The answer will be (1+3)/5 = 4/5.

### Subject: Statistics

How do you calculate the P (Male | Junior)? Given that : P (Male n Junior) = 0.10 , P (Male U Junior) = 0.50, P(Male) = 0.30 and P (Junior) = 0.20

This is a conditional probability that reads as: the probability of a student being a Male, given that he is a Junior. This can be calculated by using the Conditional probability formula: find the joint Probability of Males who are also Juniors [P(Male n Juniors)] and then divide this by the Marginal probability of Juniors [P(Juniors)]. This can be simplified as: P (Male | Junior) = P(Male n Juniors)/P(Juniors). Given that P (Male n Junior) = 0.10 and P (Junior) = 0.20. We can rewrite the equation as: P (Male | Junior) = 0.10/0.20 = 0.5. Therefore, P (Male | Junior) = 0.5 or 50%

### Subject: Algebra

3x+4=28. Solve for "x"?

In this equation we have, 3 as the co-efficient of "x" (the variable in this equation), whilst 4 and 28 are constants. To solve for x we will have to get x by itself, to do this you will first "get rid" of the constant 4 by subtract 4 from both sides of the equation. This can be seen as: 3x + 4 - 4 = 28 - 4. since: (+4 - 4) = 0, and 28-4 = 24 The equation can be simplified as: 3x = 24 From here we will then also "get rid" of the co-efficient 3 as well. We can do this by dividing both sides of the equation by 3. This can be seen as: (3x/3) = 24/3 since: 3/3 = 1, and 24/3 = 8 The equation can further be simplified as: 1x = 8 1x = x (1 multiplied by any number/variable equals the number/variable itself) Therefore, x = 8. To test if this answer is correct, we can go back to the original equation and plug in 8 wherever we see x. And the answer should be 28. 3x+4=28 becomes, 3(8) + 4 = 28. This is true as 3 * 8 = 24, and 24 + 4 = 28.