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yuradex [85]
3 years ago
15

The portion of the Arkansas state flag that is not red is a rhombus. On one flag, the

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
7 0

The area of a rhombus with length of diagonal as 24 inches and 36 inches is 432 in²

<h3>Rhombus</h3>

Rhombus is a quadrilateral with two pairs of opposite and equal parallel sides. All the sides of a rhombus are equal and the diagonals bisect each other at 90 degrees.

The area (A) of a rhombus is given by:

  • A = (pq) / 2

where p, q are the length of the diagonals.

Given that:

  • p = 24 in, q = 36 in, hence:
  • A = (24 * 36) / 2
  • A = 432 in²

The area of a rhombus with length of diagonal as 24 inches and 36 inches is 432 in²

Find out more on Rhombus at: brainly.com/question/88523

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Listed below are the numbers of hurricanes that occurred in each year in a certain region. The data are listed in order by year.
Drupady [299]

Answer:

Range = 13

Variance = 10.22

Standard deviation = 3.20

Since this data is time-series therefore, the measures of variation do not reveal anything about the pattern of hurricanes over time.

Step-by-step explanation:

We are given the number of hurricanes that occurred in each year in a certain region.

8 9 8 7 9 15 5 6 8 4 12 7 8 2

Range:

The range of the data set is found by

Range = Maximum value - minimum value

The maximum value in the data set is 15

The minimum value in the data set is 2

Range = 15 - 2

Range = 13

Variance:

To find the variance, first compute the mean of the data set.

Mean = Sum/n

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Mean = 108/14

Mean = 7.714

The variance is given by

σ² = (x - mean)²/(n - 1)

σ² = (8 - 7.714)² + (9 - 7.714)²+ (8 - 7.714)² + (7 - 7.714)² + (9 - 7.714)² + (15 - 7.714)² + (5 - 7.714)² + (6 - 7.714)² + (8 - 7.714)² + (4 - 7.714)² + (12 - 7.714)² + (7 - 7.714)² + (8 - 7.714)² + (2 - 7.714)²/(14 - 1)

σ² = 10.22

Standard deviation:

The standard deviation of the data set is given by

σ² = √σ

σ² = √10.22

σ² = 3.20

Since this data is time-series therefore, the measures of variation do not reveal anything about the pattern of hurricanes over time.

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