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Viktor [21]
3 years ago
12

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen

t to y from the first equation is substituted into the second equation.
8x – y = –9
4x – 3y = –22

4x – 3(–8x – 9) = –22
4x – 3(8x + 9) = –22
4(8x + 9) – 3y = –22
4(–8x – 9) – 3y = –22

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to y from the first equation is substituted into the second equation.

8x – y = –9
4x – 3y = –22

4x – 3(–8x – 9) = –22
4x – 3(8x + 9) = –22
4(8x + 9) – 3y = –22
4(–8x – 9) – 3y = –22
Mathematics
1 answer:
swat323 years ago
3 0
So here is the answer to the given question above. 
If we are to use substitution method in order to solve the following system, the new equation would be <span>4x – 3(8x + 9) = –22, the answer is the second option. 
Here is how I got the answer.
Let's take 8x - y = -22
So y = 8x + 22
Now, substitute the value of y to </span><span>4x – 3y = –22
and we get 4x - 3(8x +9) = -22.
Hope this answer helps. </span>
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The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees. If we want to be 90% c
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Answer:

19 beers must be sampled.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.9}{2} = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

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M = z\frac{\sigma}{\sqrt{n}}

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The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.

This means that \sigma = 0.26

If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?

This is n for which M = 0.1. So

M = z\frac{\sigma}{\sqrt{n}}

0.1 = 1.645\frac{0.26}{\sqrt{n}}

0.1\sqrt{n} = 1.645*0.26

\sqrt{n} = \frac{1.645*0.26}{0.1}

(\sqrt{n})^2 = (\frac{1.645*0.26}{0.1})^2

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