1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vladimir1956 [14]
3 years ago
12

the mean of "n" numbers is "x" . if one more is added the mean is "y" . write an algebraic expression for the value of the numbe

r added?​
Mathematics
1 answer:
vaieri [72.5K]3 years ago
3 0

Answer:

yn +y -xn

Step-by-step explanation:

Mean= sum of numbers ÷number of numbers

x= sum of n numbers ÷n

<em>Multiply</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>n</em><em>:</em>

xn= sum of n numbers

sum of n numbers= xn -----(1)

Let the number added be a.

After a has been added,

y= (sum of n numbers +a) ÷(n+1)

<em>Multiply</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>(</em><em>n</em><em> </em><em>+</em><em>1</em><em>)</em><em>:</em>

y(n +1)= sum of n numbers +a

sum of n numbers= y(n +1) -a -----(2)

Substitute (1) into (2):

xn= y(n +1) -a

<em>Expand</em><em>:</em>

xn= yn +y -a

a= yn +y -xn

<u>Let's check!</u>

Let the numbers be 1, 2, 3 and 4.

mean, x= 10 ÷4= 2.5

n= 4

Let the new number added, a, be 7.

a= 7

mean, y= 17 ÷5= 3.4

a= yn +y -xn

a= 3.4(4) +3.4 -2.5(4)

a= 7

Thus, the expression is true.

You might be interested in
Lauren and her family went to Maggiano's for dinner and spent $92.00. Lauren's family wanted to leave a 15% tip. How much will L
Andrews [41]

Answer:

105.8

Step-by-step explanation:

6 0
3 years ago
Describe the error in the work shown.
mihalych1998 [28]

The error was in second step.

3√(y^3)^4 = y^4

(Cube root cancels cube and not power 4)

The answer should be:

xy^4/4

//Hope it helps.

4 0
3 years ago
Emma starts at one end of a 45-mile-long bike trail. After
aleksley [76]

Answer:

She has already reached the end of the trail.

Step-by-step explanation:

216 is a greater number than 45 miles

8 0
2 years ago
Hatah and his 3 friends are each running an equal part of a la mile race.
Lana71 [14]

Answer:3.5 miles

Step-by-step explanation:

8 0
3 years ago
How do you solve y=a(x-h)^2+k​
Alexxx [7]
Yes i think thats right the person that did it above
3 0
3 years ago
Other questions:
  • true of false. if the movement of a mass on a spring may be modeled with simple harmonic motion, then its frequency decreases wi
    8·2 answers
  • Find the area of the trapezoid.
    9·2 answers
  • 11. <br>2(9x + 15)- 2(8 + 2x) <br><br>12.<br>(7x - 12) - 2(3x + 10) <br><br>Help pls
    10·1 answer
  • What is the domain of F(x) = In(x)?
    5·2 answers
  • She writes down
    14·2 answers
  • 15. When coffee is packed by machine into 16-ounce cans, the amount can vary. The mean weight is 16.1 ounces and the standard de
    14·1 answer
  • 1/3 x (9/4 x 12) -3<br> solve this problem
    11·1 answer
  • Scientists were monitoring the temperature of a solution. It began at 63°F, and the temperature changed by 8°F over the course o
    11·1 answer
  • Write (−3) (−3)(−3) (−3) using exponents
    14·2 answers
  • Select the two statements that are true about the equation y − 10 = 60(x − 40).
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!