Jon’s car gets 35.5 miles per gallon in town he used 0.3 gallon to drive to a meeting in town how many miles did John drive
1 answer:
Answer:
Step-by-step explanation:
Set this up as a ratio, since it's easiest to solve it this way. Put your miles on the top of the ratio and gallons on the bottom:
This ratio says that Jon gets 35.5 miles per 1 gallon of gas. We can use that ratio now, along with another, to solve for the number of miles he drove if he used .3 gallons of gas:
Cross multiply to solve:
1x = 35.5(.3) so
x = 10.65 miles
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Answer:
And rounded up we have that n=421
Step-by-step explanation:
We know that the sample proportion have the following distribution:
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
We assume that a prior estimation for p would be since we don't have any other info provided. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=421