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

How to factor the expression 16x+36
To discover the theme in a poem or work of fiction, you must first find the _____
Musicians in the twentieth century were typically supported through patronage by _____. elite aristocracy kings and royalty religious organizations the masses
HELP; The life spans of 10 adult mayflies have a mean of 4 hours and a MAD of 2 hours. Fill in the table below with possible values for the life spans. You can
a photograph that measures 20 cm by 15 cm is enlarged so that its length becomes 28 cm. what does the width become?
Ethics and laws are not feelings or religions. a. True b. False
What type of substances is filtration useful for seperating? Give me an example.
What did a castle serve as during times of war?
is 63 a multiple of 4
Which of the following is true about life in the Sahel