39. x2-8x + 17 = 0 40. x² + 29 = 10x %3D %3D
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.
![### Solving Quadratic Equations: Problems 39-46
Below are a series of quadratic equations that need to be solved. Quadratic equations are equations of the form \( ax^2 + bx + c = 0 \). The solutions can be found using different methods such as factoring, completing the square, or using the quadratic formula.
#### 39.
\[ x^2 - 8x + 17 = 0 \]
#### 40.
\[ x^2 + 29 = 10x \]
#### 41.
\[ x^2 - 6x + 14 = 0 \]
#### 42.
\[ x^2 - 12x + 45 = 6 \]
Here, each problem lists a specific quadratic equation that you need to solve. Use the most suitable method to find the values of \( x \) that satisfy each equation. Make sure to check all your work for accuracy, and you may find it helpful to graph these equations to visualize their solutions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F180e35fb-9b09-4fc5-8a6a-511bee286828%2F40cdfea9-c52f-475d-8fc7-ca0ed2b35e62%2F7l68l4_processed.jpeg&w=3840&q=75)
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