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sveticcg [70]
1 year ago
15

Greatest Common Factor and Factoring by Grouping. Please solve this maths

Mathematics
1 answer:
andrey2020 [161]1 year ago
7 0

The greatest common factor and factoring by grouping of the following is;

  • 3m
  • 2a
  • 8xy
  • 5mn
  • 3(r + t)²
  • z²(m + n)⁴

<h3>Greatest common factor</h3>

The greatest common factor is the largest positive integer or polynomial that is a divisor of several different numbers. For instance, the greatest common divisor of 66, 30 and 18 is 6.

9m³, 3m², 15m

= 3m

4a², 6a, 2a³

= 2a

16xy³, 24x²y², 8x²y

= 8xy

10m²n², 25mn³, 50m²n

= 5mn

6m(r + t)², 3p(r + t)⁴

= 3(r + t)²

7z²(m + n)⁴, 9z³(m + n)^5

= z²(m + n)⁴

Learn more about greatest common factor:

brainly.com/question/219464

#SPJ1

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-4 1/2 = -4.5

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If we order it from least to greatest, we would get:
-4 1/2, -2 3/8, 1.35, 5.6

If we order it from greatest to least, we would get:
5,6, 1.35, -2 3/8, -4 1/2
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Explain the circumstances for which the interquartile range is the preferred measure of dispersion. What is an advantage that th
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Answer:

Explain the circumstances for which the interquartile range is the preferred measure of dispersion

Interquartile range is preferred when the distribution of data is highly skewed (right or left skewed) and when we have the presence of outliers. Because under these conditions the sample variance and deviation can be biased estimators for the dispersion.

What is an advantage that the standard deviation has over the interquartile​ range?

The most important advantage is that the sample variance and deviation takes in count all the observations in order to calculate the statistic.

Step-by-step explanation:

Previous concepts

The interquartile range is defined as the difference between the upper quartile and the first quartile and is a measure of dispersion for a dataset.

IQR= Q_3 -Q_1

The standard deviation is a measure of dispersion obatined from the sample variance and is given by:

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

Solution to the problem

Explain the circumstances for which the interquartile range is the preferred measure of dispersion

Interquartile range is preferred when the distribution of data is highly skewed (right or left skewed) and when we have the presence of outliers. Because under these conditions the sample variance and deviation can be biased estimators for the dispersion.

What is an advantage that the standard deviation has over the interquartile​ range?

The most important advantage is that the sample variance and deviation takes in count all the observations in order to calculate the statistic.

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