Respuesta :

(1900 + x) / 4 = 650 therefore x = 700. The 4th score was 700.

Answer:

Ricky scored 700 points the 4th time.

Step-by-step explanation:

By definition the average formula is:

[tex]average = \frac{x_1 + x_2 + x_3 + ... + x_n}{n}[/tex]

where x are the samples of the data set and n the numbers of elements in the set.

In this case:

  • n = 4
  • average = 650
  • x₁ + x₂ + x₃ = 1900

Replacing the data on the general formula:

[tex]average = \frac{x_1 + x_2 + x_3 + x_4}{n}[/tex]

[tex]650 = \frac{1900 + x_4}{4}[/tex] //multiply both sides of the equation by 4.

[tex]4 * 650 = \frac{1900 + x_4}{4} * 4[/tex]

[tex]2600 = 1900 + x_4[/tex] //substract 1900 in both sides of the equation.

[tex]2600 - 1900 = 1900 - 1900 + x_4[/tex]

[tex]700 = x_4[/tex]

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