Respuesta :

Answer as a fraction: x = 7/2

Answer as a decimal: x = 3.5

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Work Shown:

n = sample size = number of values

n = 7

S = sum of the values

S = 5 + 7 + 2 + 6 + (x+1) + (x) + 7

S = 2x+28

Dividing S over n will get us the average, which in this case is 5

S/n = average

(2x+28)/7 = 5

2x+28 = 7*5

2x+28 = 35

2x = 35-28

2x = 7

x = 7/2 which is the answer in fraction form

x = 3.5 which is the answer in decimal form

The decimal value is exact without any rounding.

edisonlara1212

Answer:

3.5

Step-by-step explanation:

So the average of numbers can be defined as: [tex]average=\frac{sum}{amount}[/tex]

In other words, (the sum of numbers) / (the amount of numbers)

In our case, there is 7 numbers. The sum can be written as: [tex]5+7+2+6+x+(x+1)+7[/tex]

Adding like terms we get: [tex]28+2x[/tex]

Now combing the sum and amount we get the fraction: [tex]\frac{28+2x}{7}[/tex]

Since we're given the average, we can set that equal to our expression to solve for x:

[tex]5=\frac{28+2x}{7}[/tex]

No all we do is use some basic algebraic properties

Original Equation:

[tex]5=\frac{28+2x}{7}[/tex]

Multiply both sides by 28

[tex]35 = 28+2x[/tex]

Subtract 28 from both sides

[tex]7=2x[/tex]

Divide both sides by 2x

[tex]3.5=x[/tex]