A is the point (-4, 1)
i) reflection over the y-axis projects a point (a, b) to (-a, b):
(-4, 1) is projected to (4, 1),
ii) reflection over the x axis projects a point (a, b) to (a, -b):
(4, 1) is projected to (4, -1),
iii) rotation 180 degrees: projects (a, b) to (-a, -b):
so (4, -1) is projected to (-4, 1)
Answer: A'(-4, 1)
X will represent unknown
2x-4<3x
treat the < sign as a = sign
2x-4=3x
subtract 2x form both sides
-4=x
put the < sign back
-4<x
-4 is less than than x or
x is greater than -4
The term for a point that varies greatly from all other data points is known as an <u>OUTLIER</u>
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Explanation:
- An outlier is a data point that differs significantly from other observations. An outlier may be due to variability in the measurement or it may indicate experimental error.
- An outlier can cause serious problems in statistical analyses.
- An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. In a sense, this definition leaves it up to the analyst to decide what will be considered abnormal.
- A point that falls outside the data set's inner fences is classified as a minor outlier, while one that falls outside the outer fences is classified as a major outlier.
- The data here appear to come from a linear model with a given slope and variation except for the outlier which appears to have been generated from some other model.
- Outliers can occur by chance in any distribution, but they often indicate either measurement error or that the population has a heavy-tailed distribution.
