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To find the percent of the total area under the standard normal curve between the z-scores \( z = -1.5 \) and \( z = -0.75 \), we need to use the standard normal table provided in the image.

Here’s the step-by-step process:

1. **Find the area for \( z = -1.5 \)**:
   - The table shows positive z-scores, but because the normal distribution is symmetric, the area for \( z = -1.5 \) is the same as the area for \( z = 1.5 \). 
   - From the table, for \( z = 1.5 \), the area is approximately 0.433.

2. **Find the area for \( z = -0.75 \)**:
   - Similarly, the area for \( z = -0.75 \) is the same as for \( z = 0.75 \).
   - From the table, for \( z = 0.75 \), the area is approximately 0.273.

3. **Calculate the difference**:
   - The area between \( z = -1.5 \) and \( z = -0.75 \) is \( 0.433 - 0.273 = 0.160 \).

4. **Convert to percentage**:
   - \( 0.160 \times 100 = 16\% \).

Therefore, the percent of the total area under the curve between \( z = -1.5 \) and \( z = -0.75 \) is approximately 16%.

Would you like a deeper explanation or have any other questions?

### Related Questions:
1. What is the significance of a z-score in statistics?
2. How would you find the area under the curve for a range of positive z-scores?
3. How can the standard normal distribution be applied in real-world scenarios?
4. What would be the area between z-scores of -2 and 0?
5. How do you use a z-score table to find probabilities for non-standard normal distributions?

### Tip:
Remember that the normal distribution table is symmetrical around zero, allowing you to find areas for negative z-scores by looking up their positive counterparts.

Find the percent of the total area under the standard normal curve between z = -1.5 and z = -0.75.

This problem involves finding the percentage of the total area under the standard normal curve between the z-scores of -1.5 and -0.75. Learn the steps to use the standard normal distribution table to calculate this area, leveraging the symmetry of the curve.

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