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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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The divisor of 0.004 is almost zero. What does this tell you about the quotient?
nasty-shy [4]

Answer:

  Its magnitude will be larger than 0.004.

Step-by-step explanation:

When a divisor is less than 1, the quotient will be greater than the dividend.

When the divisor is "almost zero", the quotient will be much greater than the dividend. Here, the dividend may be considered to be "almost zero", so we cannot say anything about the actual quotient except to say its magnitude will be greater than the dividend.

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The dividend is positive, so the quotient will have the same sign as the divisor. (Negative divisors can be "almost zero," too.)

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3.4×10⁻¹⁴ × 1.8×10²⁸

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3 years ago
How is the series 5+11+17…+251 represented in summation notation?
NISA [10]

Answer:

\displaystyle \large{\sum_{n=1}^{42}(6n-1)

Step-by-step explanation:

Given:

  • Series 5+11+17+...+251

To find:

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Summation Notation:

\displaystyle \large{\sum_{k=1}^n a_k}

Where n is the number of terms and \displaystyle \large{a_k} is general term.

First, determine what kind of series it is, there are two main series that everyone should know:

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A series that has common difference.

  • Geometric Series

A series that has common ratio.

If you notice and keep subtracting the next term with previous term:

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  • 17-11 = 6

Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.

Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:

<u>Arithmetic Sequence</u>

\displaystyle \large{a_n=a_1+(n-1)d}

Where \displaystyle \large{a_n} is the nth term, \displaystyle \large{a_1} is the first term and \displaystyle \large{d} is the common difference:

So for our general term:

\displaystyle \large{a_n=5+(n-1)6}\\\displaystyle \large{a_n=5+6n-6}\\\displaystyle \large{a_n=6n-1}

And for number of terms, substitute \displaystyle \large{a_n} = 251 and solve for n:

\displaystyle \large{251=6n-1}\\\displaystyle \large{252=6n}\\\displaystyle \large{n=42}

Now we can convert the series to summation notation as given the formula above, substitute as we get:

\displaystyle \large{\sum_{n=1}^{42}(6n-1)

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