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lesya [120]
3 years ago
6

Which equation represents the line that is parallel to y= 3/4x + 7 and passes through (-12,36)?

Mathematics
1 answer:
Nady [450]3 years ago
4 0
In order for two lines to be parallel, the slope of the equations have to be the same.
y = 3/4x + 7 —> 3/4 is the slope.
For the new equation, the line has to go through (-12,36) which means that the y- intercept has to be 36.
The new equation would be y = 3/4x + 36.
Here is a graph to prove my point.
The red one is the original, the blue one is the one parallel to the original.
Hope this helped:$

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Answer:

-0.048

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Step-by-step explanation:

From the question we are told that

Sample size n_1=350

Sample size n_2=250

Sample proportion 1  \hat P= \frac{25}{350} =>0.07

Sample proportion 2 \hat P= \frac{19}{250} =>0.076

95% confidence interval

Generally for 95% confidence level

Level of significance

 \alpha = 1-0.95=>0.05

 \alpha /2=\frac{0.05}{2} =>0.025

Therefore

Z_a_/_2=1.96

Generally the equation for confidence interval between P_1 - P_2  is mathematically given as

(\hat P_1-\hat P_2)\pm Z_a_/_2\sqrt{\frac{\hat P_1(1-\hat P_1)}{n_1}+\frac{\hat P_2(1-\hat P_2)}{n_2}  }

(0.07-0.076)\pm 1.96\sqrt{\frac{0.07(1-0.07)}{350}+\frac{0.076(1-0.076)}{250}  }

(0.07-0.076)\pm 1.96\sqrt{4.66896*10^-^4  }

(-0.006)\pm 0.042

(-0.006)- 0.042=>-0.048

(-0.006)+ 0.042=>0.036

Therefore

Confidence interval is

-0.048

Conclusion

Given the confidence interval has zero

Therefore do not reject  H_0:P_1-P_2=0

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