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2 years ago

Solve the system for order pair 2x+5y=15 5x+10y=35

Mathematics

2 answers:

ella [17]2 years ago

7 0

Answer:

(5, 1).

Step-by-step explanation:

2x+5y=15

5x+10y=35

Multiply the first equation by -2:

-4x - 10y = -30

Add this 2 second equation:

x = 5.

Plug x = 5 into the first equation:

10 + 5y = 15

5y = 5

y = 1.

Harlamova29_29 [7]2 years ago

5 0

Hi!

If we multiply the top equation by (-2), then we can cancel out the y's.

-2(2x + 5y = 15)

-4x - 10y = -30

Now we add the second equation and our new equation together, and get:

x = 5

Now, we plug this in to one of the other equations

2(5) + 5y = 15

distribute

10 + 5y = 15

subtract 10 from both sides

5y = 5

divide both sides by 5

y = 1

Therefore, your answer is (5, 1)

Have a great day! :D

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The margin of error of the random selection is 0.20

The given parameters are:

$n = 420$ --- the sample size

$\sigma = 1.6$ --- the standard deviation

$\bar x = 10$ --- the mean

$\alpha = 99\%$ --- the confidence level.

The margin of error (E) is calculated as follows:

$E = z \times \sqrt{\frac{\sigma^2}{n}}$

So, we have:

$E = z \times \sqrt{\frac{1.6^2}{420}}$

$E = z \times \sqrt{\frac{2.56}{420}}$

The z-value for 99% confidence level is 2.576.

Substitute 2.576 for z

$E = 2.576 \times \sqrt{\frac{2.56}{420}}$

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$E = 2.576 \times 0.0781$

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Hence, the margin of error is 0.20