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Vaselesa [24]
3 years ago
6

The speed of nitrogen molecules in the atmosphere(at 20°C) follows a normal distribution with a mean speed of 500 meters/ second

and a standard deviation of 50 meters/second. Which conclusion does this information best support?
Mathematics
1 answer:
posledela3 years ago
6 0

Answer: 68% of the molecules have speeds between 450 meters/second and 550 meters/second.

Step-by-step explanation:

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Given the system of equations:
uranmaximum [27]

Answer:

x=4

y=2

Step-by-step explanation:

2x+2y=12

x−y=2

​In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

2x+2y=12,x−y=2

To make 2x and x equal, multiply all terms on each side of the first equation by 1 and all terms on each side of the second by 2.

2x+2y=12,2x+2(−1)y=2×2

Simplify.

2x+2y=12,2x−2y=4

Subtract 2x−2y=4 from 2x+2y=12 by subtracting like terms on each side of the equal sign.

2x−2x+2y+2y=12−4

Add 2x to −2x. Terms 2x and −2x cancel out, leaving an equation with only one variable that can be solved.

2y+2y=12−4

Add 2y to 2y.

4y=12−4

Add 12 to −4.

4y=8

Divide both sides by 4.

y=2

Substitute 2 for y in x−y=2. Because the resulting equation contains only one variable, you can solve for x directly.

x−2=2

Add 2 to both sides of the equation.

x=4

The system is now solved.

x=4,y=2

Correct choice is B) x=4.

8 0
2 years ago
Read 2 more answers
Solve the equation<br> 42x + 7 = 16
ehidna [41]

Answer:

should get 0.2 hope this helps you!

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the difference? startfraction 2 x 5 over x squared minus 3 x endfraction minus startfraction 3 x 5 over x cubed minus 9
weeeeeb [17]

The difference of the expression \frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x} is \frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}

<h3>How to determine the difference?</h3>

The expression is given as:

\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}

Factor the denominators of the expressions:

\frac{2x^5}{x(x - 3)} - \frac{3x^5}{x(x^2 - 9)}

Apply the difference of two squares to x² - 9

\frac{2x^5}{x(x - 3)} - \frac{3x^5}{x(x - 3)(x + 3)}

Take LCM

\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}

Hence, the difference of the expression \frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x} is \frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}

Read more about expressions at:

brainly.com/question/723406

#SPJ4

6 0
2 years ago
Quick answer this question whoever gives correct answer gets brainliest
liq [111]

Answer:

50 envelopes for 2.49

Step-by-step explanation:

2.49/50= .05

5.50/90= .06

 the first per is less than the 90 envelopes one therefore the answer is 50 for 2.49

8 0
3 years ago
Which method of separation can be used for a homogeneous mixture?
nignag [31]
One of the methods of separation of homogeneous mixtures is called distillation and it is based on the various boiling points of the component of mixture. Heating the mixture, the component that has the lowest boiling point will evaporate and the separation can be done. the other method is called chromatography.so the answer is d.distillation! hope this helped!
7 0
3 years ago
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