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iris [78.8K]
3 years ago
13

The length of a rectangle is 2 Inches less than three times its width, and its perimeter is 36 Inches. Find the width of the

Mathematics
1 answer:
elixir [45]3 years ago
5 0

Answer: Width = 5 inches

Concept:

Here, we need to know the idea of the perimeter.

A perimeter is a path that encompasses/surrounds/outlines a shape.

Perimeter of rectangle = 2 (w + l)

w = width

l = length

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

w = w

l = 3w - 2

P = 36 inches

<u>Given formula</u>

P = 2 (w + l)

<u>Substitute the value into the formula</u>

36 = 2 (w + 3w - 2)

<u>Simplify values in the parentheses</u>

36 = 2 (4w -2)

<u>Divide 2 on both sides</u>

36 / 2 = 2 (4w - 2) / 2

18 = 4w - 2

<u>Add 2 on both sides</u>

18 + 2 = 4w - 2 + 2

20 = 4w

<u>Divide 4 on both sides</u>

20 / 4 = 4w / 4

w = 5

Hope this helps!! :)

Please let me know if you have any questions

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In an effort to determine whether any correlation exists between the price of stocks of airlines, an analyst sampled six days of
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Answer:

Check the explanation

Step-by-step explanation:

Following table shows the calculations:

Delta, X      Southwest , Y            X^2              Y^2                      XY

45.96               38.76               2112.3216     1502.3376          1781.4096

46.8                 45.41                2190.24         2062.0681        2125.188

47.93                15.7                 2297.2849      246.49            752.501

51.78                49.58              2681.1684      2458.1764        2567.2524

52.17                44.34              2721.7089      1966.0356        2313.2178

47.36                18                   2242.9696            324               852.48

Total 292       211.79               14245.6934      8559.1077      10392.0488

Sample size: n =6

Now

S_{yy}=\sum y^{2}-\frac{\left (\sum y \right )^{2}}{n}=1083.27

S_{xx}=\sum x^{2}-\frac{\left (\sum x \right )^{2}}{n}=35.03

S_{xy}=\sum xy-\frac{\left (\sum x \right )\left (\sum y \right )}{n}=84.94

The coefficient of correlation is :

r=\frac{S_{xy}}{\sqrt{S_{xx}S_{yy}}}=0.436

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25 is the answer because 50% of 50 is 25
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