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lapo4ka [179]
3 years ago
8

10. Jack needs new brakes for his car. He cannot afford to spend more than $500 to fix his car. If the parts

Mathematics
2 answers:
mestny [16]3 years ago
8 0

Answer:

6 hours

Step-by-step explanation:

500=165+55h

-165

335=55h

-------------

55

h=6.090909...

h=6 hours max

ratelena [41]3 years ago
7 0

Answer:

6 hours

Step-by-step explanation:

500-165=335

335/55=6.09

so just round it down to be 6 hours maximum

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Use the given data to find the best predicted value of the response variable. Ten pairs of data yield requals0.003 and the regre
Arada [10]

Answer:

\hat y=3(2) +2=8

Step-by-step explanation:

Data given

r=0.003 represent the correlation coefficient

bar y =5 represent the sample mean for the y observations

Solution to the problem

We assume that they use least squares in order to find the best regression model. The slope is given by the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

And the slope on this case is:

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Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=5

\bar y= \frac{\sum y_i}{n}

And we can find the intercept using this:

b=\bar y -m \bar x=5-(3*\bar x)=2

So the line would be given by:

\hat y=3x +2

And the best predicted value for x=2 would be:

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3 0
3 years ago
In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies. In one study
DIA [1.3K]

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    

And the best option for this case would be:

C. between 0.01 and 0.05.

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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He would have 50$ in his account
6 0
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