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erastova [34]
3 years ago
9

Please help!! Area of Trapezoids and Triangles ​

Mathematics
1 answer:
Ad libitum [116K]3 years ago
8 0

Answer: Area of the shape is 168 ft.

Step-by-step explanation: Split the shape into 2 shapes: A rectangle and a triangle.

Area of the rectangle shape is 144 and the area of the triangle is 24. Add them and you get 168.

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Write the augmented matrix for the following system of equations.<br> x - 2 = 0<br> 2y = 4 - 2
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9514 1404 393

Answer:

  \left[\begin{array}{cc|c}1&0&2\\0&2&2\end{array}\right]

Step-by-step explanation:

The system of equations can be written in standard form as ...

  x + 0y = 2

  0x +2y = 2

The augmented matrix representation of these is ...

  \left[\begin{array}{cc|c}1&0&2\\0&2&2\end{array}\right]

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4 0
4 years ago
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The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is $3.94 (U
tekilochka [14]

Answer:

a) 25

b) 49

c) 97

Step-by-step explanation:

The sample size is calculated using the formula, n = (\frac{\sigma\times z}{\textup{Margin of error}})^2

Now,

for 95% confidence level value of z-factor = 1.96

Given:

Mean = $3.94

standard deviation = $0.25

thus,

a) for margin of error = $0.10

n = (\frac{\sigma\times z}{\textup{Margin of error}})^2

or

n = (\frac{0.25\times1.96}{\textup{0.10}})^2

or

n = 4.9²

or

n = 24.01 ≈ 25               (Rounded off to next integer)

b) for margin of error = $0.07

n = (\frac{\sigma\times z}{\textup{Margin of error}})^2

or

n = (\frac{0.25\times1.96}{\textup{0.07}})^2

or

n = 7²

or

n = 49

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n = (\frac{\sigma\times z}{\textup{Margin of error}})^2

or

n = (\frac{0.25\times1.96}{\textup{0.05}})^2

or

n = 9.8²

or

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