Figure B: a reflection across the y-axisFigure a 180° rotation around the origin
1 answer:
Since I can't see the figure on the coordinate plane, I can't give you exact coordinates for you to plot to get Figure B or Figure C. But I can tell you the transformation rules for reflection across the y-axis and the 180 rotation around the origin.
Rule for reflection across y-axis
(x, y)
(-x, y)
For example: Point B in a sample figure has the coordinate point of (1,2) would have a point of (-1, 2) when reflected across the y-axis.
Rule for rotating 180 degrees
(x, y) (-x, -y)
For example: Point C in a sample figure has the coordinate point of (3, 4) would have a point of (-3, -4) when rotating 180 degrees around the origin.
Rule for reflection across y-axis
(x, y)
For example: Point B in a sample figure has the coordinate point of (1,2) would have a point of (-1, 2) when reflected across the y-axis.
Rule for rotating 180 degrees
(x, y)
For example: Point C in a sample figure has the coordinate point of (3, 4) would have a point of (-3, -4) when rotating 180 degrees around the origin.
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Answer:
x = -5
Step-by-step explanation:
We don't know what equation solver you're supposed to use. Here are the results from one available on the web.
The 90% confidence interval for the population mean of the considered population from the given sample data is given by: Option C: [130.10, 143.90]
<h3>How to find the confidence interval for population mean from large samples (sample size > 30)?</h3>
Suppose that we have:
- Sample size n > 30
- Sample mean =
- Sample standard deviation = s
- Population standard deviation =
- Level of significance =
Then the confidence interval is obtained as
- Case 1: Population standard deviation is known
- Case 2: Population standard deviation is unknown.
For this case, we're given that:
- Sample size n = 90 > 30
- Sample mean =
= 138
- Sample standard deviation = s = 34
- Level of significance =
= 100% - confidence = 100% - 90% = 10% = 0.1 (converted percent to decimal).
At this level of significance, the critical value of Z is: = ±1.645
Thus, we get:
Thus, the 90% confidence interval for the population mean of the considered population from the given sample data is given by: Option C: [130.10, 143.90]
Learn more about confidence interval for population mean from large samples here: