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AveGali [126]
3 years ago
12

A vegetable garden and it's around a pasta shaped like a square that together are 12 ft wide. A path is 1 feet wide. If one bag

of gravel covers 9 square feet, how many bags are needed to cover the path? Round your answers to the nearest tenth.
​

Mathematics
1 answer:
Nat2105 [25]3 years ago
7 0

The overall width of the path and garden is 12 feet.

The area of the entire garden and path is 12 x 12 = 144 square feet.

The path is 1 foot wide, so the garden would be 12 - 2 = 20 feet wide.

The area of the garden only would be 10 x 10 = 100 square feet.

The area of the path only = 144 - 100 = 44 square feet.

1 bag covers 9 square feet:

44 / 9 = 4.88

You would need 5 bags.

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2) Standard deviation: 3.2

Step-by-step explanation:

1)

A uniform random distribution is the distribution of a variable that can assume n different values, and each of these values is equally likely to occur.

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Here the distribution consists of all values ranging from 1 to 12, so:

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Therefore the mean value is

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2)

For a uniform random distribution, it can be dimostrated that the variance of the distribution is

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For the distribution in this problem, we have:

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Therefore the variance is

\sigma^2 = \frac{1}{12}(12-1)^2=10.08

The standard deviation is the square root of the variance, therefore for this distribution it is:

\sqrt{\sigma^2}=\sqrt{10.08}=3.2

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Sophie [7]

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