Respuesta :

Answer:

10

Step-by-step explanation:

the average is the sum of all the numbers divided by the amount of numbers.  in this case the number to divide by is 4.

if x is equal to 10, then we would get this equation:

4+6+10+2(10)

10+10+20=40

40 divided by 4 equals 10.

veronicaculs

Answer:

x=10

Step-by-step explanation:

  • The average value of a finite serie of numbers "n" equals  [tex]\frac{1}{n} \sum_1^n{x_n}[/tex], which is the same as [tex]\frac{1}{n}\times (x_1,x_2,....,x_n)[/tex].
  • You can apply this equation to your problem to start solving this problemmusing the serie of numbers you have: (4,6,x,2x).
  • Following the previous equation, in this particular case n=4 (there are four values to calculate the average value), then the average can be calculated as follow: [tex]\frac{1}{4}\times{(4+6+x+2x)[/tex] and this equals [tex]10=\frac{1}{4}\times({10+3x})[/tex]
  • ⇒[tex]40=10+3x[/tex]. Substracting 10 from both sides, and dividing this result by 3, we get x=10.