If a is the average (arithmetic mean) of x and 5, b is the average of 3x and 11, what is the average of a and b in terms of x?​

Respuesta :

The mean of a and b in terms of x will be x + 4.

What is mean?

The mean is the average of a data set. Mean gives us the idea of that how much amount of overall data have.

The mean is the foundation of the deviation of data from all data sets.

Mean = sum of data / Number of data

For example, if you have marks in 5 subjects like 40,45,44,46,48 then the mean will be

( 40 + 45+ 44 + 46 + 48) /5 = 44.6.

Given that,

a is the average (arithmetic mean) of x and 5 ⇒

(x + 5)/2 = a

And b is the average of 3x and 11 ⇒

(3x +11)/2 = b

Now mean of a and b will be ⇒ (a + b)/2

So,

⇒ [(x + 5)/2 + (3x +11)/2 ]/2

⇒ (4x +16)/4

x + 4

Hence "The mean of a and b in terms of x will be x + 4".

For more about the mean,

https://brainly.com/question/17060266

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