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hram777 [196]
4 years ago
11

Which statement explains how the lines x − y = 2 and y = x + 1 are related? They are parallel. They are perpendicular. They are

the same line. They are not related.
Mathematics
2 answers:
lilavasa [31]4 years ago
6 0

Answer:

the answer IS "they are parallel

Step-by-step explanation:

i just took the test and it was correct

aleksandrvk [35]4 years ago
5 0

Answer:

<u>They are parallel.</u>

Step-by-step explanation:

L1: x − y = 2 ; or x-y-2=0

L2: y = x + 1; or x-y+1=0

<em>The slope of the line  L: ax+by+c=0 is  m=  -a/b.</em>

L1: x-y-2=0=><em> m1=(-1)/(-1)=1</em>

L2: x-y-1=0=> <em>m2=(-1)/(-1)=1</em>

L1 and L2 have the same slope; m1=m2=1

=> L1 and L2 are parallel.

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Answer:

The minimum sample size required to create the specified confidence interval is 2229.

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{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

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

In which \sigma is the standard deviation of the population and n is the size of the sample.

What is the minimum sample size required to create the specified confidence interval

This is n when M = 0.06, \sigma = 1.1

0.06 = 2.575*\frac{1.1}{\sqrt{n}}

0.06\sqrt{n} = 2.575*1.1

\sqrt{n} = \frac{2.575*1.1}{0.06}

(\sqrt{n})^{2} = (\frac{2.575*1.1}{0.06})^{2}

n = 2228.6

Rounding up

The minimum sample size required to create the specified confidence interval is 2229.

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