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

if y=-4 when x=10 find y when x=5
Which word in the sentence is an indirect object?Choose all answers that are correct.Give Ben and his cousins a snack before bedtime.  A.cousins  B.snack  C.Ben
Approximately when did World War I occur? A. 1910s B. 1930s C. 1940s D. 1960s
In what ways is the Holy Land an important site for all three monotheistic faiths?
What is a gradual increase in average global temperature called?
Ok, so i'm writing a story about this girl who's name is Alana. What should the story be about?
Hi how do you write the number 31 in Italian? Thanks need this answer tonight plz homework is due tomorrow
A grocery store receipt shows 5% state tax due on laundry detergent and a flower bouquet. Does it matter whether the tax is calculated on each separate item o
Are pansies monocots or dicots?
write an equation with the solution x=25