Use the table to write and solve an equation to find the number of
cars c that a salesperson needs to sell in the fourth month so that
the salesperson’s mean number of cars sold per month is 10.
Month 1 2 3 4
Cars Sold 8 9 12 c

Respuesta :

Answer:

[tex]c = 11[/tex]

Step-by-step explanation:

Given

[tex]Cars\ Sold:-: 8; 9; 12; c[/tex]

Required

What value of c makes the mean = 10

Mean is calculated as

[tex]Mean = \frac{\sum x}{n}[/tex]

In this case;

Mean = 10 and n = 4;

So, we have:

[tex]10 = \frac{8+ 9 + 12 + c}{4}[/tex]

[tex]10 = \frac{29+ c}{4}[/tex]

Multiply both sides by 4

[tex]10 * 4 = 29 + c[/tex]

[tex]40 = 29 + c[/tex]

Solve for c

[tex]c = 40 - 29[/tex]

[tex]c = 11[/tex]