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George sold 18, 22, 26, 12, 25, 20, and 19 cars per month over the past seven months. He followed the steps below to determine the number of cars he needs to sell in the next month to have a mean number of sales per month of 24.

Respuesta :

texaschic101
(18 + 22 + 26 + 12 + 25 + 20 + 19 + x) / 8 = 24
(142 + x) / 8 = 24....multiply both sides by 8
142 + x = 24 * 8
142 + x = 192
x = 192 - 142
x = 50.......so he would have to sell 50 cars in order to have a mean of 24

Answer:

The number of cars he needs to sell in the next month to have a mean number of sales per month of 24 is:

                                           50

Step-by-step explanation:

We are given the data for the number of cars sold for past seven months as:

18, 22, 26, 12, 25, 20, and 19 cars

Now we are asked to find the number of cars sold in the eighth month so that the mean of cars sold is: 24

So, let 'x' be the number of cars sold in the 8th month.

Hence, we have:

[tex]\dfrac{18+22+26+12+25+20+19+x}{8}=24\\\\\\18+22+26+12+25+20+19+x=24\times 8\\\\\\18+22+26+12+25+20+19+x=192\\\\142+x=192\\\\x=192-142\\\\x=50[/tex]

Hence, the number of cars that need to be sold in the 8th month is:

              50

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