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anzhelika [568]
3 years ago
9

Solve for x 0.03x+20=0.07x+5

Mathematics
1 answer:
mr Goodwill [35]3 years ago
7 0
<span>0.03x+20=0.07x+5                            original equation
</span>0.03x+20-0.03x=0.07x+5-0.03x       <span>subtract  0.03x from both sides to combine                                                                 like terms
</span>20=0.04x+5
20-5=0.04x+5-5                                subtract 5 from both sides
15 = 0.04x                                          
15/0.04 = 0.04x/0.04                         divide both sies by 0.04 to get x alone.
375 = x                                               <-------WOOOOOO! theres the answer!
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Step-by-step explanation:

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The p value for this case would be given by:

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For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

Step-by-step explanation:

Information given

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X=502 represent the college graduates with a mentor

\hat p=\frac{502}{1045}=0.480 estimated proportion of college graduates with a mentor

p_o=0.42 is the value that we want to test

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true proportion is higher than 0.42, the system of hypothesis are.:  

Null hypothesis:p \leq 0.42  

Alternative hypothesis:p > 0.42  

The statistic is given by:

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

Replacing the info we got:

z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930  

The p value for this case would be given by:

p_v =P(z>3.930)=0.0000443  

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

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