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Agata [3.3K]
3 years ago
13

Which properties justify the steps taken to solve the system 4x + 3y =25 2x + 5y=19 ​

Mathematics
1 answer:
defon3 years ago
7 0

Answer: we multiply the second equation by -2. This property is the multiplication property of equality (1).  

Then, we add the two equations generated. (2) addition property of inequality.

Next, we divide both sides of the equation by 13. That is division property of inequality.  

Moreover, we substitute the value obtained for y in the first equation. This is substitution property of equality.  

Then, we simplify

Next, we add +3 to both sides of the equation in order to have an equation with only one side having a variable. That is addition property of equality.  

Lastly, we divide both sides of the equation by 4. This is division property of equality.

Step-by-step explanation:

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The probability that a randomly selected passenger car gets more than 37.3 mpg is 0.1587.

Step-by-step explanation:

Let the random variable <em>X</em> represent the miles-per-gallon rating of passenger cars.

It is provided that X\sim N(\mu=33.8,\ \sigma^{2}=3.5^{2}).

Compute the probability that a randomly selected passenger car gets more than 37.3 mpg as follows:

P(X>37.3)=P(\frac{X-\mu}{\sigma}>\frac{37.3-33.8}{3.5})

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Thus, the probability that a randomly selected passenger car gets more than 37.3 mpg is 0.1587.

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