Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![**Parallelogram Problem Explanation and Solution**
**Problem Statement:**
JKLM is a parallelogram. Find the length of JM.
Given Geometry:
```
J---7x-1---K
|\ |
| \ |
| \ |
| \ |
M---8x-3---L
```
**Details Provided:**
- Parallelogram JKLM with sides JM and KL.
- The expression for side JK is given as 7x - 1.
- The expression for side ML is given as 8x - 3.
**Step-by-Step Solution:**
1. **Identify the properties of a parallelogram:**
- Opposite sides of a parallelogram are equal in length.
- Therefore, in parallelogram JKLM, JM = LK and JK = ML.
2. **Set up the equation based on the given expressions:**
- Since JK = ML, we equate the two expressions:
\[
7x - 1 = 8x - 3
\]
3. **Solve the equation for x:**
- Subtract 7x from both sides:
\[
-1 = x - 3
\]
- Add 3 to both sides:
\[
2 = x
\]
4. **Calculate the length of JM using the value of x:**
- Substitute x = 2 into the expression for JM (since JM = KL, we use the same side length relationship):
\[
JM = 7x - 1 = 7(2) - 1 = 14 - 1 = 13
\]
**Conclusion:**
The length of JM is 13 units.
**Diagram Explanation:**
A parallelogram JKLM is shown with sides JK and ML having algebraic expressions:
- JK = 7x - 1
- ML = 8x - 3
The solution involves solving for x using the property that JK equals ML in a parallelogram, and then using this value to find the actual length of side JM.
**Note:**
The feedback "First try was incorrect" suggests an initial incorrect input or solution attempt, but the corrected and detailed solution has been provided above.
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An input box allows entering and verifying the calculated length of JM. A numeric keypad](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F479f0212-11e8-4f67-9816-8d68724d3261%2F5ddaec17-d70c-437c-a5a3-bfe1070ce22c%2F0akbohq_processed.jpeg&w=3840&q=75)
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