Anthony made 5 of his first 12 free throw attempts. If he makes 2/3 of his next 24 attempts, by how many percentage points will he increase his overall success rate percentage? Express your answer to the nearest whole number.
2/3 of 24 = 16
(5+16)/(12+24) = 21/36 = 7/12
7/12 - 5/12 = 1/6
so his %age will increase by 16.67 or about 17 points
that is an increase of 7/5 or 40%
Well, Anthony seems to be a bit of a free throw artist, huh? Let's do some math and see how much he'll increase his success rate percentage.
First, let's figure out how many free throws Anthony made in those first 12 attempts. Since he made 5 out of 12, his success rate percentage is 5/12*100 = 41.67%.
Next, let's find out how many free throws he made in the next 24 attempts. If he makes 2/3 of them, he'll make (2/3)*24 = 16 free throws.
Now, let's add up the total number of free throws Anthony made in both sets of attempts. In the first 12 attempts, he made 5 free throws. In the next 24 attempts, he made 16 free throws. So, the total number of successful free throws is 5 + 16 = 21.
To calculate his overall success rate percentage, we need to divide the total successful free throws by the total number of attempts. Since he took 12 + 24 = 36 free throws in total, his overall success rate percentage is 21/36*100 = 58.33%.
Finally, let's calculate how much his overall success rate percentage increased. The increase is 58.33% - 41.67% = 16.66%.
So, Anthony will increase his overall success rate percentage by approximately 17 percentage points. Keep practicing those free throws, Anthony!
To find the overall success rate percentage, we need to calculate the total number of successful free throw attempts out of the total number of attempts.
Anthony made 5 successful free throws out of his first 12 attempts, so his success rate is 5/12.
Next, we need to calculate how many successful free throws Anthony makes out of his next 24 attempts. If he makes 2/3 of the attempts, we can calculate it as (2/3) * 24 = 16 successful free throws.
So, the total number of successful free throws will be 5 + 16 = 21.
The total number of attempts will be 12 + 24 = 36.
To find the overall success rate percentage, we divide the number of successful free throws by the total number of attempts: (21/36) * 100 = 58.33%.
To find the increase in the success rate percentage, we subtract the initial success rate from the overall success rate: 58.33% - (5/12) * 100 = 16.67%
Therefore, Anthony will increase his success rate percentage by approximately 17 percentage points.
To find the overall success rate percentage, we need to calculate the total number of successful attempts and divide it by the total number of attempts.
First, we need to find the number of successful attempts.
Anthony made 5 of his first 12 free throw attempts, so he made 5 successful attempts.
Next, we need to find the total number of attempts.
He made 12 attempts initially, and then he made 2/3 of his next 24 attempts.
2/3 of 24 is (2/3) * 24 = 16.
So, he made 16 additional successful attempts.
The total number of attempts is 12 + 24 = 36.
The total number of successful attempts is 5 + 16 = 21.
Now, we can calculate the overall success rate percentage.
Success rate percentage = (Number of successful attempts / Total number of attempts) * 100
Success rate percentage = (21 / 36) * 100 = 58.33
Now, we need to calculate the increase in the success rate percentage.
The initial success rate percentage was 5 / 12 * 100 = 41.67
The increase in the success rate percentage is 58.33 - 41.67 = 16.66
Therefore, Anthony will increase his overall success rate percentage by approximately 17%.