Tutor profile: Andrew C.
Subject: SAT II Mathematics Level 1
If two fair dice are rolled, what is that probability that the sum of the dice is at most 4 assuming that the 2 dice are 6-sided?
First, calculate the total possible number of outcomes: Since each die has 6 sides, multiple 6 by 6 to get 36 possible outcomes. Now come up with different combinations of rolls that add up to 2. You would get: 1,1; Now come up with different combinations of rolls that add up to 3. You would get: 1,2; 2,1 Now come up with different combinations of rolls that add up to 4. You would get: 1,3; 3,1; 2,2 Since there are 6 outcomes that could lead to a sum of 4 or less and there are 36 total possible outcomes, the probability of rolling a 4 or less would be 6/36 or 1/6.
Subject: Basic Math
what is 5/9 * 4/9
In order to solve this question, you need to first multiply the top part of the equation and multiply the bottom part of the equation. 5*4= 20 9*9 = 81 Now you divide the product of the numerator by the product of the denominator and you get 20/81. You now check if you can simplify these numbers. Since 20 and 81 do not share a greatest common factor, this is the most simplified version and the final answer.
5x+9 = 7x-2, solve for x
In order to solve this question, you would want to balance the equation so that the numbers are all on one side while the variables are on the other side of the equation: 5x+9 = 7x-2 -> add 2 to both sides so that no integer remains on the right side and got get: 5x+11 = 7x Now, subtract 5x from both sides so that the variables are only on the right side and you get: 11 = 2x Now, solve for x by dividing both sides by two and you get: 5.5 = x
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