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Ilya [14]
3 years ago
15

A square has a side length of 20 cm. What are the dimensigns of a rectangle that has the same area as the square?

Mathematics
2 answers:
KiRa [710]3 years ago
8 0
First, lets find the area of the square; 2l = 2*20 = 40

Possibilities for the dimensions of a rectangle that has the same area as the square are 1-40, 2-20, 4-10, 5-8

Hope this helps!
Minchanka [31]3 years ago
7 0
40cm and 10cm are the dimensions
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Answer:

386

Step-by-step explanation:

If you subtract the initial fee of 12 from 70 you get 68 you just divide that by .15 meaning you can plant no more that 386 trees.

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At an ocean-side nuclear power plant, seawater is used as part of the cooling system. This raises the temperature of the water t
grandymaker [24]

Answer:

(a1) The probability that temperature increase will be less than 20°C is 0.667.

(a2) The probability that temperature increase will be between 20°C and 22°C is 0.133.

(b) The probability that at any point of time the temperature increase is potentially dangerous is 0.467.

(c) The expected value of the temperature increase is 17.5°C.

Step-by-step explanation:

Let <em>X</em> = temperature increase.

The random variable <em>X</em> follows a continuous Uniform distribution, distributed over the range [10°C, 25°C].

The probability density function of <em>X</em> is:

f(X)=\left \{ {{\frac{1}{25-10}=\frac{1}{15};\ x\in [10, 25]} \atop {0;\ otherwise}} \right.

(a1)

Compute the probability that temperature increase will be less than 20°C as follows:

P(X

Thus, the probability that temperature increase will be less than 20°C is 0.667.

(a2)

Compute the probability that temperature increase will be between 20°C and 22°C as follows:

P(20

Thus, the probability that temperature increase will be between 20°C and 22°C is 0.133.

(b)

Compute the probability that at any point of time the temperature increase is potentially dangerous as follows:

P(X>18)=\int\limits^{25}_{18}{\frac{1}{15}}\, dx\\=\frac{1}{15}\int\limits^{25}_{18}{dx}\,\\=\frac{1}{15}[x]^{25}_{18}=\frac{1}{15}[25-18]=\frac{7}{15}\\=0.467

Thus, the probability that at any point of time the temperature increase is potentially dangerous is 0.467.

(c)

Compute the expected value of the uniform random variable <em>X</em> as follows:

E(X)=\frac{1}{2}[10+25]=\frac{35}{2}=17.5

Thus, the expected value of the temperature increase is 17.5°C.

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3 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
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maks197457 [2]

Answer:

see the explanation

Step-by-step explanation:

we know that

A mixed number is equal to sum a integer plus a fraction less than 1. The result is a fraction where the numerator will be always greater than the denominator (This fraction is called an improper fraction)

Example

a\frac{b}{c} ----> a mixed number

a is a integer

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so

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Adds the integer plus the fraction

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Answer:

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