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2 years ago

Why do you divide each term in the sum by the same factor that you pull out of the sum?

Mathematics

1 answer:

arsen [322]2 years ago

5 0

We do so to follow the rule of divisibility of each term(numbers).

<h2 /><h3><u>The Rule of Divisibility:</u></h3>

The rule of divisibility of numbers is a method applied in mathematics used to determine if a number or set of numbers is divisible by a particular integer without any remainder.

Let assume that we have a series of numbers;

2, 4, 6, 8, 10

From the rule of divisibility, since all the numbers are multiples of 2;

We can deduce that 2 can be the factor that is pulled out from the series to divide each term in the sum.

Learn more about the rule of divisibility here:

brainly.com/question/840412

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The following data represent the flight time (in minutes) of a random sample of seven flights from one city to another city. 28

anzhelika [568]

Answer:

$Range = 281-256= 25$

In order to calculate the sample deviation we need to calculate the mean given by:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X= 265$

And the standard deviation can be calculated with this formula:

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$s = 8.426$

Step-by-step explanation:

For this case we have the following data given:

281, 269, 259, 265, 256, 259, 266

The range is defined as:

$Range = Max -Min$

And if we replace we got:

$Range = 281-256= 25$

In order to calculate the sample deviation we need to calculate the mean given by:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X= 265$

And the standard deviation can be calculated with this formula"

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$s = 8.426$

4 0

3 years ago

Find the slope of the line passing through each of the following pairs of points. i (5, 0), (−3, 0)

Gnom [1K]

Answer:

m = 0

Step-by-step explanation:

(5, 0) (-3, 0)

m = slope

m = y2 - y1 ÷ x2- x1

m = 0 - 0 ÷ -3 -5

m = 0 ÷ -8

m = 0

3 0

4 years ago

It is estimated that 7 out of 10 people invited to a wedding will attend. If Mark and Katie invite 120 people, how many should t

Margarita [4]

7 and 10 is half

so we expect the people come to wedding half of 120÷2=60 people

i just try

5 0

3 years ago

How many terms are in the expression 5 - 3c + 21?

Dmitrij [34]

There are three terms. :)

8 0

3 years ago

At the beginning of the day, it was -14 degrees. Throughout the day, the temperature increased 16 degrees. What was the temperat

konstantin123 [22]

Answer:

The temperature at the end of the day is 2 degrees

Step-by-step explanation:

Here, we are interested in calculating the temperature at the end of the day.

In the question, we are told that at the beginning of the day, temperature was -14 degrees.

But throughout the day, the temperature increased by 16 degrees;

Thus, the temperature at the end of the day = -14 degrees + 16 degrees = 2 degrees

7 0

3 years ago