Five numbers, x, 2x, 2x + 6, 3x – 1 and 4x – 8, are in a set. if the average (arithmetic mean) of the five numbers is 9, what is the value of the mode in this set?

mode = 8

Step-by-step explanation:

Find the value of x by using the average formula, that is

= 9

= 9 ( multiply both sides by 5 )

12x - 3 = 45 ( add 3 to both sides )

12x = 48 ( divide both sides by 12 )

x = 4

The set of 5 numbers is

4, 8, 14, 11, 8

The mode is the value in the set which occurs most

mode = 8

answer: no

step-by-step explanation:

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: