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To find the percent of the total area under the standard normal curve between the z-scores \( z = -1.4 \) and \( z = 0.65 \), we can use the standard normal distribution table shown in your image.

### Steps:

1. **Find the area for \( z = -1.4 \):**
   Using the first table (page 1), locate the z-score \( z = -1.4 \). The corresponding area is **0.0808**.

2. **Find the area for \( z = 0.65 \):**
   Using the same table (page 1), locate the z-score \( z = 0.65 \). The corresponding area is **0.7422**.

3. **Subtract the two areas**:
   To get the area between \( z = -1.4 \) and \( z = 0.65 \), subtract the smaller area from the larger one:
   \[
   0.7422 - 0.0808 = 0.6614
   \]

4. **Convert the area to a percentage**:
   Multiply the area by 100 to convert it into a percentage:
   \[
   0.6614 \times 100 = 66.14\%
   \]

Thus, the percent of the total area under the standard normal curve between \( z = -1.4 \) and \( z = 0.65 \) is approximately **66.1%** (rounded to the nearest tenth).

Would you like more details on the normal distribution or how these values are derived?

Here are 5 related questions to consider:
1. How do you interpret the area under a normal distribution curve?
2. What is the relationship between standard deviation and z-scores?
3. How do you find the area between two negative z-scores?
4. What is the total area under the standard normal curve?
5. How can z-scores be used in real-world applications?

**Tip:** Always check the symmetry of the normal curve; for example, a positive z-score will have the same area as its corresponding negative z-score.

Find the percent of the total area under the standard normal curve between the following z-scores: z = -1.4 and z = 0.65.

Learn how to calculate the area under the standard normal curve between z-scores of -1.4 and 0.65. This problem explains key statistical concepts, including the use of standard normal distribution tables, z-scores, and converting areas to percentages. Ideal for Grades 10-12 students.

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