YatesDevon3048 YatesDevon3048
  • 04-09-2019
  • Mathematics
contestada

The average (arithmetic mean) of 6 numbers is q. When one number is discarded, the average becomes q-2. In terms of q, what is the discarded number?

Respuesta :

danielafalvarenga danielafalvarenga
  • 06-09-2019

Answer: q + 10

Step-by-step explanation: considering the numbers a, b, c, d, e and f

Mean would be

a+b+c+d+e+f/6 = q (1)

Considering we remove f, the new mean would be

a+b+c+d+e/5 = q-2 (2)

From (1):

a+b+c+d+e+f = 6q

from (2)

a+b+c+d+e = 5(q-2)

a+b+c+d+e = 5q - 10

Substituting (2) in (1)

a+b+c+d+e+f = 6q

5q - 10 + f = 6q

f = 6q - 5q + 10

f = q + 10

Answer Link

Otras preguntas

Which of these best summarizes the reasons for Africa’s ongoing conflicts? Select one: a. Continuing apartheid in some nations has fueled violence against white
Pleaser answer CORRECTLY , WILL MARK BRAINLIEST !!!!!!!!!
How many degrees are in the internal angle of a regular 13-gon
(a ti) / Simón / sugerir / terminar la tarea luego Example answerSimón te sugiere que termines la tarea luego.End example answer Question 1 with 1 blank(a Danie
What is the measure of angle c?​
In what ways do these characteristics affect the nature of interaction in urban areas?
Someone please help me
Vivek plans to survey 10 randomly chosen residence out of the 280 people that live in his community about plans for new neighborhood dog park describe one way h
Texans who wanted to get rid of Republican leaders after Reconstruction called themselves_________.
Which peninsula is circled in red on the map above? A. the Indian Peninsula B. the Korean Peninsula C. the Malay Peninsula D. the Kamchatka Peninsula