If the following data were transformed, and points with the coordinates (x, log(y)) were plotted, what points would be plotted? Round log(y) to three decimal places. 4 81 5 243 6 729
If the following data were transformed, and points with the coordinates (x, log(y)) were plotted, what points would be plotted? Round log(y) to three decimal places. 4 81 5 243 6 729
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:The image depicts a multiple-choice question with four options labeled A, B, C, and D. Each option contains a series of ordered pairs.
- **Option A**: (4, 1.908), (5, 2.386), (6, 2.863)
- **Option B**: (1.908, 4), (2.386, 5), (2.863, 6)
- **Option C**: (81, 1.908), (243, 2.386), (729, 2.863)
- **Option D**: (1.908, 81), (2.386, 243), (2.863, 729)
Each pair is presented in the format (x, y). There are no graphs or diagrams included in the image.

Transcribed Image Text:### Transcription for Educational Purposes
**Transforming Data and Plotting Coordinates**
The given task involves transforming data and plotting points based on these transformations. The transformation requires using the coordinates \((x, \log(y))\) with the \( \log(y) \) values rounded to three decimal places. Below is the provided data set:
| \( x \) | \( y \) |
|---------|---------|
| 4 | 81 |
| 5 | 243 |
| 6 | 729 |
### Transformation Process
To find the transformed coordinates \((x, \log(y))\):
1. **Calculate \(\log(y)\) for each value of \(y\).**
2. **Round each \(\log(y)\) to three decimal places.**
**Example Calculation:**
- For \(y = 81\), \(\log(81) \approx 1.908\).
- For \(y = 243\), \(\log(243) \approx 2.386\).
- For \(y = 729\), \(\log(729) \approx 2.863\).
### Transformed Coordinates
- \((4, 1.908)\)
- \((5, 2.386)\)
- \((6, 2.863)\)
These transformed points can then be plotted on a graph to visualize the relationship between \(x\) and \(\log(y)\).
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