arlette14
arlette14 arlette14
  • 07-06-2017
  • Mathematics
contestada

Three of four numbers have a sum of 17. If the average of the four numbers is 6, what is the fourth number?

Respuesta :

Аноним Аноним
  • 07-06-2017
1) 6 * 4 = 24 - a sum of four numbers
2) 24 - 17 = 7 - is the fourth number.
Answer Link
windyyork windyyork
  • 20-06-2019

Answer: The fourth number is 7.

Step-by-step explanation:

Sum of three numbers = 17

So, it becomes

[tex]x_1+x_2+x_3=17[/tex]

Average of four numbers = 6

Since we know that formula for "Average":

[tex]Average=\dfrac{\sum x}{n}\\\\6=\dfrac{\sum x}{4}\\\\24=\sum x[/tex]

[tex]\sum x_i=24\\\\x_1+x_2+x_3+x_4=24\\\\17+x_4=24\\\\x_4=24-17\\\\x_4=7[/tex]

Hence, the fourth number is 7.

Answer Link

Otras preguntas

The time units used by scientists to divide Earth's history are part of the A. geologic time scale. B. 360° latitude. C. 24-hour model. D. 180° longitude.
what would happen to the moon if earth stopped exerting the force of gravity in it
how can 5 people equally share a 3 segment gummy worm
to test a hypothesis,a scientist designs a (n)------
Flash flooding is most likely to occur when heavy rain falls on
What was one of the main reasons the transatlantic slave trade was so harmful to africa
What was the name of the ocean crossing slaves were transported on?
Write a subtraction fact with the same difference as 16-7
write these numbers in order 3.01 13.0 0.31 1.30 3.1
A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 216 yards, what are its dimensions? What is the width?