Robert was able to travel 292 miles in 4 hours and uses 38 l of gasoline. if gas costs $2.09 per gallon, how much did the trip c
2 answers:
Answer:
Robert´s trip cost $20.98.
Step-by-step explanation:
Robert use 38 liters of gas to make his 292 miles trip. The gallon of gas cost is $2.09. First we have to convert the 38 liters of gas to gallons.
Having convert the units, we can calculate how much cost the gas, this is:
Robert´s trip cost $20.98.
The distance and time data is used to confuse.
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Answer:
a)
And we can find this probability using the normal standard table or excel and we got:
b)
And we can find this probability using the complement rule and the normal standard table or excel and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Part a
Let X the random variable that represent the time for the step 1 and Y the time for the step 2, we define the random variable R= X+Y for the total time and the distribution for R assuming independence between X and Y is:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or excel and we got:
Part b
And we can find this probability using the complement rule and the normal standard table or excel and we got: