201 2.2 Circles Decide whether or not each equation has a circle as its graph. If it does, give the center and radius. If it does not, describe the graph. See Examples 3-5. 27. x + y2 +6x + 8y +9 = O 28. x2 y2 8x-6y + 16 = 0 29. x2 + y 2-4x + 12y -4 30. x2y2-12x + 10y = -25 1 31. 4x2 + 4y2 +4x- 16y 19= O 32. 9x2 9y2 +12x- 18y - 23 = 0 33. x2 +y2 +2x- 6y + 14 = 0 E34. x2 y2 + 4x- 8y +32 = 0 35. x2y2-6x 6y 18 O 36. x2y2+ 4x+ 4y +8 = 0 37. 9x29y2 - 6x+6y - 23 = 0 38. 4x24y2 + 4x- 4y -7= 0 Epicenter of an Earthquake Solve each problem. To visualize the situation, use graph paper and a compass to carefully graph each circle. See Example 6. 39. Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (-3,9), (7,4), -9,-4), and respectively. The epicenter of an earthquake is determined to be 5 units from X, 13 units from Y, and 10 units from Z. Where on the coordinate plane is the epicenter located? and R are located on a coordinate plane at the D

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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.