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boyakko [2]
3 years ago
6

Find the mean of the set of data: 10, 12, 29, 2, 19, 42, 23, 23

Mathematics
1 answer:
Softa [21]3 years ago
3 0
To find mean, 
first add all the numbers together:
10 + 12 + 29 + 2 + 19 + 42 + 23 + 23 = 160

Then divide the total by the <em>amount </em>of numbers there are:

In this case, there are 8 numbers.

160/8 = 20 

20 is your mean for this set of data

hope this helps
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Estimate the perimeter and the area of the shaded figure to the nearest whole number.
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Answer:

Step-by-step explanation:

The area and perimeter of the given shaded figure are respectively 33.12 unit² and 20.56 units.

Area and perimeter-based problem:

What information do we have?

Radius of semi-circle = 8 / 2 = 4 unit

Length of remain Rectangle = 8 unit

Width of remain Rectangle = 2 unit

Perimeter of shaded figure = πr + (l + 2b)

Perimeter of shaded figure = (3.14)(4) + [4 + (2)(2)]

Perimeter of shaded figure = 12.56 + 4 + 4

Perimeter of shaded figure = 20.56 units

Area of shaded figure = πr²/2 + lb/2

Area of shaded figure = (3.14)(4)²/2 + (8)(2)/2

Area of shaded figure = (3.14)(8) + 8

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What is the equation of the parabola in vertex form with vertex (2,-4) and directrix y=-6​
Pachacha [2.7K]

Answer:

y=\dfrac{1}{8}(x-2)^2-4

Step-by-step explanation:

The directrix y=-6 is parallel to the x axes, so parabola has equation of the form

(x-x_0)^2=2px(y-y_0),

where (x_0,y_0) is the vertex of parabola and p is parabola's parameter.

By the definition, \frac{p}{2} is the distance from the vertex to the directrix, so

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Hence, the equation of parabola is

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See attached diagram for the graph of parabola and its directrix.

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3 years ago
Write with explain. ​
antiseptic1488 [7]

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Red angle = 50 because An exterior angle of a triangle is equal to the sum of the opposite interior angles (pink angles).

Alternatively:

Green angle is 130 by sum of interior angles of a triangle.

Red angle is 50 by Adjacent angles

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3 years ago
If a number is doubled, and 16 is added to it, the resault is 40. what is the number
Sphinxa [80]

Answer:

The number is 12

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