Question
a test is worth 50% of my grade. a get a 8-% on the test. my grade rn is 54%. what's my grade after the test?
Answers
GPT-4o mini
To calculate your new grade after the test, you can use the following formula:
\[ \text{New Grade} = (1 - w) \times \text{Current Grade} + w \times \text{Test Score} \]
Where:
- \( w \) is the weight of the test (50% or 0.5)
- Current Grade = 54%
- Test Score = 80%
Now, plug in the values:
\[ \text{New Grade} = (1 - 0.5) \times 54 + 0.5 \times 80 \]
Calculate it step by step:
1. Calculate \( (1 - 0.5) \) which is \( 0.5 \).
2. Multiply \( 0.5 \times 54 = 27 \).
3. Multiply \( 0.5 \times 80 = 40 \).
4. Add them together: \( 27 + 40 = 67 \).
So, your new grade after the test will be **67%**.
\[ \text{New Grade} = (1 - w) \times \text{Current Grade} + w \times \text{Test Score} \]
Where:
- \( w \) is the weight of the test (50% or 0.5)
- Current Grade = 54%
- Test Score = 80%
Now, plug in the values:
\[ \text{New Grade} = (1 - 0.5) \times 54 + 0.5 \times 80 \]
Calculate it step by step:
1. Calculate \( (1 - 0.5) \) which is \( 0.5 \).
2. Multiply \( 0.5 \times 54 = 27 \).
3. Multiply \( 0.5 \times 80 = 40 \).
4. Add them together: \( 27 + 40 = 67 \).
So, your new grade after the test will be **67%**.