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?

Answer 1

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%.