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
gladu [14]
3 years ago
12

A set of 9 numbers has a mean of 20. What additional number must be included in this set to create a new set with a mean that is

4 less than the mean of the original set?
Mathematics
1 answer:
PIT_PIT [208]3 years ago
3 0

<em>Greetings from Brasil...</em>

The average for a set of 9 elements will be

(A + B + C + D + E + F + G + H + I) ÷ 9 = 20

Let's make (A + B + C + D + E + F + G + H + I) like S

<em>(I chose S to remember a sum)</em>

Let us think.....

S ÷ 9 = 20

S = 20 × 9

S = 180

So,  (A + B + C + D + E + F + G + H + I) = 180

According to the statement, we will include a number (element J) in the sum to obtain a mean of (20 - 4), that is:

<h3>(A + B + C + D + E + F + G + H + I + J) ÷ 10 = (20 - 4)</h3>

as seen above, (A + B + C + D + E + F + G + H + I) = 180, then

(180 + J) ÷ 10 = 16

(180 + J) = 160

J = 160 - 180

<h2>J = - 20</h2><h2 />

So, including the number - 20 <em>(minus 20)</em> in the original mean we will obtain a new mean whose result will be 16

You might be interested in
a deli employee can make a sandwhich in 6 minutes.she works for 84 minutes.how many sandwhiches can she make
Leni [432]

Answer:

14

Step-by-step explanation:

84/6

6 0
3 years ago
Read 2 more answers
Solve the equation identify extraneous solutions
PIT_PIT [208]

Answer:

Step-by-step explanation:

The goal to solving any equation is to have x = {something}.  That means we need to get the x out from underneath that radical.  It's a square root, so we can "undo" it by squaring.  Square both sides because this is an equation.  Squaring both sides gives you

x^2=-3x+40

Get everything on one side of the equals sign and set the quadratic equal to 0:

x^2+3x-40=0

Throw this into the quadratic formula to get that the solutions are x = 5 and -8.  We need to see if only one works, both work, or neither work in the original equation.

Does 5=\sqrt{-3(5)+40}?

5=\sqrt{-15+40} and

5=\sqrt{25}

and 5 = 5.  So 5 works.  Let's try -8 now:

-8=\sqrt{-3(-8)+40} and

-8=\sqrt{24+40} so

-8=\sqrt{64}

-8 = 8?  No it doesn't.  So only 5 works. Your choice is the third one down.

6 0
3 years ago
there are 4800 plastic spoons in a case there 6 box3s of spoons in each case how many spoons are in each box
Slav-nsk [51]

Sorry if im wrong but i am pretty sure that is 266

3 0
3 years ago
Louis’s bill from dinner at a restaurant is $27.62 before tax. The local tax rate is 7.5%. Louis would like to leave a 20% tip o
shtirl [24]
As Louis is only leaving a 20% tip on the pretax bill, this means he's leaving 20% of $27.62
The best thing to do is to find 10% and double it.
27.62/10= 2.76 (as it rounds down)
2.76*2= 5.52
Therefore, you've got to add $5.52 to $27.62
$5.52+$27.62= $33.14
Hope this helps :) 
4 0
2 years ago
How do you write 1 over 100 as a power of 10 with a negative exponent?
vaieri [72.5K]
I think it would look like this 1/100^-10 hope dis helped
7 0
3 years ago
Read 2 more answers
Other questions:
  • Convert:<br> 16,840 feet = <br> miles<br> feet
    5·2 answers
  • Can someone please help me on this?
    12·1 answer
  • A book is marked 20% off. What percent of the original price is the sales price? (What percent do you still have to pay for?) If
    15·1 answer
  • Kinda struggling need help find the answer X^2+6x-72=0
    12·2 answers
  • Marcus can read about 40 pages in one hour. if he reads at the same rate for 2 hours, how many pages will marcus read?
    14·2 answers
  • 1)Use the provided information to identify each of Mr. Nicholson’s earning opportunities as arithmetic or geometric. For each op
    13·1 answer
  • What is an equation of a line that passes through the point (-3 -7) and it’s parallel to the line 2x-3y=24
    11·1 answer
  • Quadrilateral EFGH is inscribed inside a circle as shown below. Write a proof showing that angles H and F are supplementary. Cir
    8·1 answer
  • Help please need to pass this math test
    8·2 answers
  • PLEASE HELP!!!<br><br> Find the sum of all solutions to the equation 4x(x-3) = 23.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!