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riadik2000 [5.3K]
3 years ago
15

FIND THE MISTAKE PLEASE

Mathematics
1 answer:
LenKa [72]3 years ago
5 0

Answer:

-2x

Step-by-step explanation:

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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.

7 0
3 years ago
I’m slow and lazy and yeah sorry just at least help
Anna007 [38]

Answer:

2) x = 6    y = 7      3) x = -5    y= 2

Step-by-step explanation:

2) 10x - 8y = 4

   2(-5x + 3y = -9)

-10x + 6y = -18

 10x - 8y =   4      Add both equations together

         -2y = -14

         y = 7            Divide both sides by -2

10(x) - 8(7) = 4       Plug in 7 for the y to solve for x

10x - 56 = 4  

     + 56 + 56        Add 56 to both sides

10x = 60

x = 6                      Divide both sides by 10

3) Where the two lines intersect, that is the solution to x and y.

The lines intersect at (-5,2). x = -5      y = 2

3 0
3 years ago
At the Souvenir Shop, gemstone souvenirs cost $11.60 for 5. Which proportion can be used to find the cost of just 1 gemstone?
Assoli18 [71]

$2.32

$11.60 divide by 5

3 0
3 years ago
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Compare 900 cm 9000 mm
dmitriy555 [2]
9000mm is equivalent to 900cm
3 0
3 years ago
What is the value of 0 in 37.0691 ​
Andrew [12]

Answer:

The value of 0 is 0 - If you want to round its 37.1

Step-by-step explanation:

The value of 0=0

0\neqany other # besides zero

if you are wanting to round, you can round to the tenths place and say that 37.06 rounds up to 37.1

7 0
3 years ago
Read 2 more answers
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