There is a sales tax of $6 on an item that costs $64 before tax. The sales tax on a second item is $8.25 . How much does the sec
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Answer:
Mid grade gas per gallon = $2.67
Regular gas per gallon = $2.37
Step-by-step explanation:
Let, x= mid grade gas, y=regular gas.
So, for 18 gallons of mid grade gas and 5 gallon of regular gas at $59.91, it can be expressed as,
------------------(equation 1)
for 14 gallon of mid grade gas and 1 gallon of regular gas at 39.75, it can be expressed as,
-------------------(equation 2)
-------------------(equation 3)
Now substituting the value of y from (equation 3) in (equation 1) we get,
-------------------------(equation 4)
Now substituting value of x from (equation 4) in (equation 3) we get,
Therefore price per gallon of mid grade gas is x = $2.67, and price per gallon of regular gas y = $2.37.
Answer:
And we can find this probability with the following difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
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".
Solution to the problem
Let X the random variable that represent the number of gallons of a population, and for this case we know the distribution for X is given by:
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 with the following difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.