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Firdavs [7]
3 years ago
10

10. Use grids to draw all the possible arrays

Mathematics
1 answer:
Alexus [3.1K]3 years ago
4 0

Answer:

Please check the attached figure a to visualize the array grid for 5, 7 and 11.

Step-by-step explanation:

As the given number be 5, 7 and 11.

An array is basically the display of things in rows and columns. Students tend to draw arrays for multiples of a given number.

For example,  2 × 1 means the objects are placed in two rows and 1 column.

The numbers 5, 7 and 11 are prime numbers as they have only two factors  

  • A prime number consists of just two factors, 1 and the number itself
  • For example, 3 is prime number because the only factors of 3 are 1 and 3

So,  

As the factors of 5 are 1 and 5. Therefore, the possible number of drawing all the possible arrays of 5 will be two which are

  • 1 × 5 and 5 × 1

As the factors of 7 are 1 and 7. Therefore, the possible number of drawing all the possible arrays of 7 will be two which are

  • 1 × 7 and 7 × 1

As the factors of 11 are 1 and 11. Therefore, the possible number of drawing all the possible arrays of 11 will be two which are

  • 1 × 11 and 11 × 1

Please check the attached figure a to visualize the array grids for 5, 7, and 11.

Keywords: arrays, number, prime number

Learn more about drawing arrays for number from brainly.com/question/13278394

#learnwithBrainly

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If this is the sample data, the sample variance is 125.07 and the sample standard deviation is 11.18

If this is a population data, the population variance is 109.44 and the population standard deviation is 10.46

Step-by-step explanation:

We are given the following data-set:

70, 65, 71, 78, 89, 68, 50, 75

Deviations from the mean

–0.75, –5.75 , 0.25, 7.25, 18.25, –2.75, –20.75, 4.2

Sample size, n = 8

Sample:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

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s = \sqrt{\dfrac{875.5}{7}} = 11.18

\text{ Sample variance} = s^2 = 125.07

Population:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Sum of squares of differences =

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\sigma = \sqrt{\dfrac{875.5}{8}} = 10.46

\text{ Population variance} = \sigma^2 = 109.44

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3 years ago
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