Find the value of each variable. If your answer is not an integer, round to the nearest tenth.
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.
![### Geometry Problem 13: Tangent and Circle Angle Calculation
In the given diagram, we have a circle with a tangent line that touches the circle at a single point. There is a triangle formed with one of its vertex lying at the point of tangency on the circle.
Key elements of the diagram:
1. **Circle and Tangent Line:**
- The circle is positioned such that a tangent line intersects it at one point.
- An arrow horizontally extends from the left, indicating the direction of the tangent line.
2. **Triangle Formation:**
- A right-angled triangle is formed, which has one vertex at the point of tangency.
- Angle ∠65° is measured where the tangent meets one of the triangle's sides.
3. **Angle Measurement:**
- The angle inside the triangle, adjacent to the circle, is indicated as ∠x°.
### How to Solve:
Given that the tangent to a circle and the radius at the point of tangency are perpendicular, we understand that the right angle (90°) is formed between the radius and the tangent line. We notice:
1. The triangle includes the angles: ∠65°, ∠x°, and a right angle (90°).
2. By the sum of angles in a triangle property, we know:
\[
\text{Sum of angles} = 180°
\]
Thus, for the angles of this particular triangle:
\[
x° + 65° + 90° = 180°
\]
### Calculation:
\[
x° = 180° - (65° + 90°)
\]
\[
x° = 180° - 155°
\]
\[
x° = 25°
\]
So, the angle \(\mathbf{x}\) is \( \mathbf{25°} \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6d85d9da-75db-48bf-a3cb-c4a1ef66ebdb%2Fbcc44456-b5bf-40a1-834b-1914210212ae%2F7gfj728_processed.jpeg&w=3840&q=75)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
