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3 years ago

Find the MAD of this set of data.

Mathematics

1 answer:

barxatty [35]3 years ago

5 0

Answer:

2.8

Step-by-step explanation:

The given data set is;

6, 12, 10, 9, 8, 6, 2, 4, 8, 15

The mean of this set is;

$\bar X=\frac{\sum x}{n}$

$\bar X=\frac{6+12+10+9+8+6+2+4+8+15}{10}$

$\bar X=\frac{80}{10}=8$

The mean absolute deviation is given by

$M.A.D=\frac{\sum |x-\bar X|}{n}$

$M.A.D=\frac{|6-8|+|12-8|+|10-8|+|9-8|+|8-8|+|6-8|+|2-8|+|4-8|+|8-8|+|15-8|}{10}$

$M.A.D=\frac{2+4+2+1+0+2+6+4+0+7}{10}$

$M.A.D=\frac{28}{10}$

$M.A.D=2.8$

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A rectangular lawn, 100 feet long by 50 feet wide, is to have two sidewalks installed that will cut the lawn in half both ways,

Damm [24]

Answer:

3.41 feet

Step-by-step explanation:

Area = Length × Breath

Area of the rectangular lawn = 100 × 50

= 5000 feet²

The sidewalk must occupy an area no more than 10% of the total lawn area.

So, the area of the sidewalk would be not more than = 10% × 5000

= 0.10 × 5000

= 500 feet²

Let the width of the sidewalk = x feet

area of the side walk = (L×W of the long way) + ((L-x)×W of the short way)

(100 × x) + ((50 - x) × x) < 500

100x + (50-x)(x) < 500

-x² + 150x < 500

-x² + 150x = 500

-x² + 150x - 500 = 0

By using quadratic formula

$x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

$x=\frac{(-150)\pm\sqrt{(150)^2-4(-1)(-500)} }{2(-1)}$

$x=\frac{-150\pm \sqrt{20500} }{-2}$

$x=75-5\sqrt{205}$ or $x=75+5\sqrt{205}$

x = 3.41089 ≈ 3.41 feet or x = 146.58

Therefore, width of the sidewalk would be 3.41 feet.

5 0

2 years ago

It candy company plans to hang posters of a new product in supermarkets. The product is a box of premium chocolates. The art tea

prohojiy [21]

He answer to this question is:A. The length is 8 inches, and the width is 5 inches.
The scale factor can be found in the question, "the art team made a scale drawing of the top of the box using a scale of 3 inches to 1 inch". This means the scale drawing should be divided by a scale factor of 3:1 (simplified into 3).
The scale factor is then divided with the components provided (24 inches in length, 15 inches in width).
(24/3) = 8 inches(15/3) = 5 inches
Your answer is length = 8 inches, width = 5 inches.
hope this helps u

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3 years ago

How is 9.746 x 1013 written in standard form?

sammy [17]

Answer:

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You are on a ski trip with your friends. Your friend Meg asks you to lend her $250. Write down the conditions that will help you

Arisa [49]

whether you have the money to lend her

whether she offers you some collateral