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cluponka [151]
3 years ago
9

Which table represents a linear function?

Mathematics
1 answer:
bearhunter [10]3 years ago
8 0

Answer:

  • Table 2

Step-by-step explanation:

<h3>Table 1</h3>
  • x- values change 1 to 4
  • y- values change inconsistently and repeat at -2

This is <u>not</u> a linear function

<h3>Table 2</h3>
  • x- values change 1 to 4
  • y- values change consistently, with common difference of -2

<u>This is a linear function</u>

<h3>Table 3</h3>
  • x- values change 1 to 4
  • y- values change inconsistently, the difference is not common

This is <u>not</u> a linear function

<h3>Table 4</h3>
  • x- values change 1 to 4
  • y- values change inconsistently, the difference is not common

This is <u>not</u> a linear function

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In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies. In one study
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Answer:

z=\frac{0.384-0.362}{\sqrt{0.374(1-0.374)(\frac{1}{4276}+\frac{1}{3908})}}=2.055    

The p value can be calculated from the alternative hypothesis with this probability:

p_v =2*P(Z>2.055)=0.0399    

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Step-by-step explanation:

Information provided

X_{1}=1642 represent the number of smokers from the sample in 1995

X_{2}=1415 represent the number of smokers from the sample in 2010

n_{1}=4276 sample from 1995

n_{2}=3908 sample from 2010  

p_{1}=\frac{1642}{4276}=0.384 represent the proportion of smokers from the sample in 1995

p_{2}=\frac{1415}{3908}=0.362 represent the proportion of smokers from the sample in 2010

\hat p represent the pooled estimate of p

z would represent the statistic    

p_v represent the value for the pvalue

System of hypothesis

We want to test the equality of the proportion of smokers and the system of hypothesis are:    

Null hypothesis:p_{1} = p_{2}    

Alternative hypothesis:p_{1} \neq p_{2}    

The statistic is given by:

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)  

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{1642+1415}{4276+3908}=0.374  

Replacing the info given we got:

z=\frac{0.384-0.362}{\sqrt{0.374(1-0.374)(\frac{1}{4276}+\frac{1}{3908})}}=2.055    

The p value can be calculated from the alternative hypothesis with this probability:

p_v =2*P(Z>2.055)=0.0399    

And the best option for this case would be:

C. between 0.01 and 0.05.

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3 years ago
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The second & the last equations are nonlinear. The rest are linear.


Hope this satisfies your query! Have a good one :)
8 0
3 years ago
4 QUESTIONS 20 POINTS
storchak [24]
Coresponding is
1to5
4to8
3to7
2to6
pick 2 pairs (there are 4 pairs)

alternate interior angles are
4and5
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angle7=angle6=angle2=angle3=106 degrees

angle7+angle8=180
106+angle8=180
angle8=74











1to5
4to8
3to7
2to6
pick 2 pairs (there are 4 pairs)

alternate interior angles are
4and5
3and6

angle7=106 degrees

angle8=74




5 0
3 years ago
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