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3 years ago

10

What is the solution for the system of equations

2 answers:

OLEGan [10]3 years ago

3 0

First, it depends how you want to solve the system. The easiest way is to solve by elimination. Eliminate the 2 s. Therefore, 4x = 8. Divide by 4 to find x. After dividing by 4, x=2. To find the y plug in 2 for x in the original equation. Try for the first one. 2 +2y =3. Subtract 2 from both sides of the equation. Then you get 2y =1. Divide by 2 in both sides and you get y = 1/2.

Slav-nsk [51]3 years ago

3 0

I'd immediately add the two given equations together. This produces 4x = 8, so that x = 2. Subbing 2 for x in the first equation results in 2+2y=3, so 2y = 1, and y = 1/2.

Thus, the solution is (2, 1/2).

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2 years ago

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Answer:

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Step-by-step explanation:

Given

$\angle 2 = 65^{\circ}$

See attachment

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To solve for $\angle 4$ , we make use of:

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3 years ago

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The confidence interval for mean when the standard deviation is not known is:

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$\bar x = 3\\s=0.3\\n=9\\\alpha =1-0.95=0.05$

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$t_{\alpha/2, (n-1)}=t_{0.05/2, (9-1)}=t_{0.025, 8}=2.31$

**Use a <em>t</em>-table.

The 95% confidence interval for true mean length of the bolt is:

$CI=\bar x\pm t_{\alpha/2, (n-1)}\frac{s}{\sqrt{n}}\\=3\pm 2.31\times \frac{0.30}{\sqrt{9}}\\ =3\pm 0.231\\=(2.769, 3.231)$

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