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galben [10]
3 years ago
8

Write these series with summation notation. 1,4,9,16...

Mathematics
1 answer:
maksim [4K]3 years ago
7 0

Answer:  \sum\limits_{i=1}^{n} n^2 , where n is a natural number.

Step-by-step explanation:

A series can be represented in a summation or sigma notation.

Greek capital letter, ∑ (sigma), is used to represent the sum.

For example: \sum\limits_{n=1}^{\infty} n=1+2+3+4+5+..., where n is a natural number.

The given series : 1,4,9,16 which can be written as 1^2, 2^2, 3^2,... .

So , we can write it as

\sum\limits_{n=1}^{\infty} n^2 , where n is a natural number.

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2 years ago
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The number of wins for a high school football team is measured for the season. When the team plays at home, it is generally beli
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Hi there :)

Question :

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☆ The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, and a causal relationship exists between the team playing at home and winning.

☆ The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, but causation cannot be determined.

☆ The scatter plot would not be represented by a line of best fit with a negative slope. There is a weak correlation between the football team playing at home and winning.

☆ There is no causation and almost no correlation between the football team playing at home and winning.

Direct Answer- <em><u>Option A</u></em>

<em>Answer Explanation -</em>

<u>r = -0.91</u>

Negative, so opposite directions, which can be explained as for example, the more the team travels(plays away games), the less games it wins.

| r | = 0.91, which is quite close to 1, so a significant relationship. Also, Negative relation means that the scatter plot would be represented by a straight line with a negative slope, and so,<em><u> correct answer is Option A</u></em>

<em>Method explanation :-</em>

Correlation coefficients measure the relationship between variables, the closer | r | is to 1, the stronger the relationship will be.

If the coefficient is positive, then there will be a positive relationship. If the coefficient is negative, then there is a negative relationship.

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Step-by-step explanation:

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