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Romashka [77]
2 years ago
13

This table represents a relationship between x and y, where x is the independent variable.

Mathematics
2 answers:
Morgarella [4.7K]2 years ago
5 0
The last one.

y = x - 10

Let’s check our answer using (20,10) and (100,90)

y = x - 10
10 = 20 -10
10 = 10
This statement is correct.

y = x - 10
90 = 100 - 10
90 = 90
This statement is correct.

Our final answer is: y = x - 10

Hope that helps!
just olya [345]2 years ago
4 0

Answer:

I think its y=2x Im not really sure

Step-by-step explanation:

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Answer:

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9

Step-by-step explanation:

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3 years ago
Need help solving for X
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You need to cross multiply 
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Denise walked 4 blocks from her house to the bus stop. She rode the bus 17 blocks to the post office. Later, she came home the s
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Answer:

42 blocks

Step-by-step explanation:

4 +17 = one way

The answer= there and back

4+17=21

21 x 2 = 42

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3 years ago
A study by the Pew Research Center1 reports that in 2010, for the first time, more adults aged 18 to 29 got their news from the
sergejj [24]

Answer:

Null hypothesis:p \leq 0.65  

Alternative hypothesis:p > 0.65  

z=\frac{0.66 -0.65}{\sqrt{\frac{0.65(1-0.65)}{1500}}}=0.812  

p_v =2*P(z>0.812)=0.208  

So the p value obtained was a very high value and using the significance level assumed \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion it's not significantly higher from 0.65.  

We don't have enough evidence to conclude that the true % it's higher than 65%, since we fail to reject the null hypothesis on this case.

Step-by-step explanation:

1) Data given and notation

n=1500 represent the random sample taken

X represent the adults that   said television was one of their main sources of news.

\hat p=0.66 estimated proportion of adults that said television was one of their main sources of news.

p_o=0.65 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the proportion is higher than 0.65:  

Null hypothesis:p \leq 0.65  

Alternative hypothesis:p > 0.65  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.66 -0.65}{\sqrt{\frac{0.65(1-0.65)}{1500}}}=0.812  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level assumed \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(z>0.812)=0.208  

So the p value obtained was a very high value and using the significance level assumed \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion it's not significantly higher from 0.65.  

Do we find evidence that more than 65% of all US adults use television as one of their main sources for news?

We don't have enough evidence to conclude that the true % it's higher than 65%, since we fail to reject the null hypothesis on this case.

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3 years ago
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FOLLOW ME FOR CLEARING YOUR NEXT DOUBT

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