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MA_775_DIABLO [31]
3 years ago
13

The scatter plot shows the relationship between the test scores of a group of students and the number of hours they spend on soc

ial media in a week:
Part A: What is the group of points labeled A called? What is the point labeled B called? Give a possible reason for the presence of point B. (3 points)
Part B: Describe the association between a student’s test scores and the number of hours spent on social media. (2 points)

Mathematics
1 answer:
Rasek [7]3 years ago
7 0
Hi there!

Part A: Those groups of points that are circled and labeled A are called a correlation. In this case, the group of points represent negative correlation. The point that is labelled B is called an outlier, because it falls outside of the range of the other points. Point B may have been present like that, because while a person may spend a lot of time on social media, they might have understood the information very fast, or maybe they studied a bit on a different occasion.

Part B: Going back to part A, the graph represents a negative correlation. In this case, the more time spent on social media, the lower the test scores.
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Answer:

A

Step-by-step explanation:

When solving for x as an exponent, we need to use logarithms in order to undo the operation and rearrange the terms. We use log rules to bring down the exponent and solve. Logarithms are the inverse operations to exponents and vice versa. We have one special kind of logarithm called the natural logarithm whose base is e. We write it as ln. Since our base is e here, we will use the natural logarithm to rearrange and isolate x.

e^{4x-1} =3

We begin by applying the natural logarithm to each side.

ln(e^{4x-1}) =ln(3)

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ln e as an inverse simplifies to 1.

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We now apply the inverse operations for subtraction and multiplication.

4x-1+1=1+ln(3)\\4x=1+ln(3)\\\frac{4x}{4} =\frac{1+ln3}{4} \\x =\frac{1+ln3}{4}

Option A is correct.

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