Josh's monthly fuel expenses are $1,050.
<h3><u>Prices</u></h3>
Given that Josh is looking to get a new car because he decided he was spending too much on gas, and over the past year he found that he drove 7,700 miles, and at current gas prices of $4.5 he was getting about 27 miles per gallon, To determine, if he bought a vehicle that realizes 33 miles per gallon, what might be a reasonable estimate of monthly gas costs, the following calculation must be made:
- 27 = 100
- 33 = X
- 3300 / 27 = X
- 122.22 = X
- 122.22 = 100
- 100 = X
- 10000 / 122.22 = X
- 81.81 = X
- (7700 / 33) x 4.5 = X
- 233.33 x 4.5 = X
- 1050 = X
Therefore, Josh's monthly fuel expenses are $1,050.
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Y=0.6x+5 is the slope of a line parallel to the line -3x+5y=-10
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Step-by-step explanation:
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Answer:

And we can calculate the p value with the following probability taking in count the alternative hypothesis:

And for this case using a significance level of
we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true proportion is less than 0.02
Step-by-step explanation:
For this case we want to test the following system of hypothesis:
Null hypothesis: 
Alternative hypothesis: 
The statistic for this case is given by:
(1)
And for this case we know that the statistic is given by:

And we can calculate the p value with the following probability taking in count the alternative hypothesis:

And for this case using a significance level of
we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true proportion is less than 0.02