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2 years ago

7x + 2y = 4

2 answers:

5 0

$7x + 2(x + 1) = 4 \\ 7x + 2x + 2 = 4 \\ 9x + 2 = 4 \\ 9x = 2 \\ x = \frac{2}{9} \\ \\ y = \frac{2}{9} + 1 = \frac{11}{9} \\ ( \frac{2}{9} \: \frac{11}{9} )$

abruzzese [7]2 years ago

3 0

It’s B.

y=x+1

7x+2(x+1)=4

y=x+1
9x+2=4

Subtract 4-2 from the second equation.

The we have y=x+1

9x=2

x=2/9

Then plug in x into the other equation bc now we know it!

y=2/9+1

Which is 11/9

I hope this helps!!!

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Quadrilaterals are plane shapes that are bounded by four straight sides. Thus, the required answers to the questions are:

46. True. Other examples include kites, rhombus, etc.

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1 year ago

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2 years ago

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Answer: $(0.7335,\ 0.7865)$

Step-by-step explanation:

Given : A random sample of 1000 registered voters in Flagstaff found 760 registered voters who support immigration reform.

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sample proportion: $\hat{p}=\dfrac{760}{1000}=0.76$

Critical value for 95% confidence interval = $z_{\alpha/2}=1.96$

Confidence interval :

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.76\pm(1.96)\sqrt{\dfrac{0.76(1-0.76)}{1000}}\\\\=0.76\pm0.0264708866493\\\\\approx0.76\pm0.0265\\\\=(0.76-0.0265,\ 0.76+0.0265)=(0.7335,\ 0.7865)$

Hence, the 95% confidence interval for the true percent of registered voters in Flagstaff who support immigration reform: $(0.7335,\ 0.7865)$

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3 years ago