Equations of a Circumference: A Comprehensive Guide
Circumference as Geometric Locus
The geometric locus is a group of points that satisfy certain geometric conditions. The geometric locus of the circumference is the group of points that are at the same distance r from a point called the center.
Example
Determine the geometric locus that describes a point that moves a distance of 4 units around a fixed point with coordinates (0,0).
Steps
- Identify the fixed point on the plane.
- Draw a point at a distance of 4 units to each of the four cardinal points.
- Join
Statistical Quality Control for Computer Lab Availability
1. Graphic Frequency
Note that for the development of the report, 7 days were tabulated in the given table, which corresponds to a representative sample of the state of the computer lab.
With the tabulated data, we proceeded to perform frequency graphs to demonstrate the problem that affected the laboratory, which corresponds to the non-availability of computers. We built a frequency graph for the 210 observations obtained during the 7 days, through all three shifts (morning, afternoon, and evening)
Read MoreUnderstanding Lines: Equations, Slopes, and Parallelism
The Line as a Geometric Locus
The line is a group of points that can be enlarged infinitely in both directions. A straight line is also defined as “a geometric locus of a point that moves on the plane in a way that, when located in any two positions, its slope m results as the same” (Vázquez, 2007).
Example: Graphing a Line
On the plane, graph the line that passes through the points (-3, 4) and (6, 3).
Steps
- Procedure: Graph the given points on the Cartesian plane.
- Procedure: Graph a line that joins
Introduction to Matrices: Types, Operations, and Properties
Gauss
Calculating the Inverse of a Matrix
Let A = (aij) be a square matrix of order n. To calculate the inverse of A, denoted as A-1, follow these steps:
Step 1: Building the Augmented Matrix
Build the n x 2n matrix M = (A | I), where A is in the left half of M and the identity matrix I is on the right.
Step 2: Gaussian Elimination
Keep the first row of M as it is. Below the first main diagonal element, a11 (which we’ll call the pivot), put zeros. Then operate as shown in the following example.
Example:
Key Terms in Statistics: Chapters 1, 2, 3, and 4
Chapter 4: Measures of Central Tendency and Skew
Measures of Central Tendency
Measures of central tendency represent the center of a distribution. The most common measures are:
- Mean: The average score, calculated by summing all scores and dividing by the total number of scores. Represented by ‘x̄’ for a sample and ‘μ’ for a population.
- Median: The middle score when scores are arranged in numerical order. If there’s an even number of scores, the median is the average of the two middle scores.
- Mode:
Understanding Slang, Register, and Synonymy in Language
Synonym and Register
Synonymy
A relationship of ‘sameness of meaning’ that may hold between two words.
Register
A style or way of speaking adopted by a group. The factors defining a register are:
- Degree of formality (“formal”/“polite” vs. “informal”/“intimate”)
- Profession or trade (linguists, academics, mountain climbers, miners)
- Channel (postcard, CB radio talk, e-mail, internet forums)
- Plus anything else which may create a community feeling among people.
Cross-Varietal Synonymy
The use
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