## You might need: Calculator The following data points represent the volume of gas in each race car driver’s tank (in liters). 4,

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The following data points represent the volume of gas in each race car driver’s tank (in liters).
4, 5, 13, ?
If the mean of the data set is 7 L. find the missing volume of gas.
L
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1 year 2021-08-14T15:43:42+00:00 1 Answers 119 views 0

The missing value is 6!

Step-by-Step Explanation:

First, we know that there are 4 values in total, so we must multiply the mean, 7, by 4 to get the total sum of all the values. (7*4=28)

Now, we can write this as a function, where we can represent the missing value as ‘x’.

[tex]4+5+13+x=28[/tex]

In order to get the missing value, we must solve the equation.

Step 1: Simplify.

[tex]4+5+13+x=28\\22+x=28[/tex]

Step 2: Subtract 22 from both sides.

[tex]22+x=28\\22+x-22=28-22\\x=6[/tex]

x is equal to 6, which means the missing volume of gas is 6!