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pshichka [43]
4 years ago
14

Determine the standard variation of the data below. (1, 2, 3, 4, 5)

Mathematics
2 answers:
Ne4ueva [31]4 years ago
8 0
Calculate for the mean/ average of the given numbers:
 
                             μ = (1 + 2 + 3 + 4 + 5) / 5 = 3

Then, we calculate for the summation of the squares of differences of these numbers from the mean, S
 
                             S  = (1 - 3)² + (2 - 3)² + (3 - 3)² + (4 - 3)² + (5 - 3)²
                                S = 10

Divide this summation by the number of items and take the square root of the result to get the standard deviation.

                              SD = sqrt (10 / 5) = sqrt 2  
                                    SD = 1.41

Thus, the standard deviation of the given is equal to 1.41. 
              
                            
Bas_tet [7]4 years ago
8 0

Answer:

So basically sqrt of 2...

Step-by-step explanation:

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SOLVE 6-9. State of each triangle is a right triangle
11111nata11111 [884]

To find out if a triangle is a right triangle, you can use the Pythagorean theorem(which can only be used for right triangles):

a² + b² = c² (c is the hypotenuse or the longest side) And you can plug in the side lengths into this equation. If they are the same number on both sides, it is a right triangle, if they are different numbers it is not a right triangle.


6.) a² + b² = c²

(4√3)² + (11)² = (13)²

(16(3)) + 121 = 169

48 + 121 = 169

169 = 169 It IS a right triangle


7.) a² + b² = c²

(5)² + (2√14)² = (9)²

25 + (4(14)) = 81

25 + 56 = 81

81 = 81 It IS a right triangle


8.) a² + b² = c²

(6)² + (√49)² = (√82)²

36 + 49 = 82

85 = 82 It is NOT a right triangle


9.) a² + b² = c²

(13)² + (2√39)² = (16)²

169 + (4(39)) = 256

169 + 156 = 256

325 = 256 It is NOT a right triangle

7 0
3 years ago
The first diagram shows an equilateral triangle and a
liberstina [14]

Answer:

Ar = ¼√3 As

Step-by-step explanation:

Area of an equilateral triangle is:

Ar = ¼√3 s²

Area of a square is:

As = s²

Substituting:

Ar = ¼√3 As

4 0
3 years ago
If a square is dilated by a factor of 2 what is the measure of each individual angle
vodomira [7]

Answer:

4:1

Step-by-step explanation:

If the side length x is dilated to 2x, the area x² will dilate to (2x)² = 4x², which is 4 times the original x².

6 0
3 years ago
Jhon has $200 caleb had $800 joan has $100 who has the most
dybincka [34]

Answer:

CALEB

Step-by-step explanation:

because 800 is greater than 200 and 100

5 0
3 years ago
Read 2 more answers
The courtyard outside East Middle School is in the shape of a rectangle and half-circle.
Nadya [2.5K]

Answer:

The correct option is the third one counting from the top. (5892 m^2)

Step-by-step explanation:

First, we need to remember that:

For a rectangle of length L and width W, the area is:

A = L*W

For a circle of diameter D, the area is:

A = pi*(D/2)^2

Where pi = 3.14

In the image, we can see a rectangle and half a circle, the total area of the image will be equal to the area of the rectangle plus the area of the half circle.

In the image, we can see a rectangle of length L = 100m and width W = 50m

Then the area of the rectangle is:

A = 100m*50m = 5000m^2

And we can see that for the half-circle the diameter is D = 50m

Note that the area of a half-circle is half of the area of a complete circle, then the area of that half-circle is:

A = (1/2)*(3.14*(50m/2)^2) = 981.25 m^2

If we add these two areas we get:

Total area =  5000m^2 + 981.25 m^2 = 5981.25 m^2

If we round it up, we get:

Total area = 5982 m^2

The correct option is the third one counting from the top.

8 0
3 years ago
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