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]
2 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]2 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
Solve without a calculator log_4(20)-log_4(45)+log_4(144)
AfilCa [17]
Log₄20-log₄ 45+log₄144=
log₄(20/45)+log₄144=                        (log_a b- log_a c=log_a  (b/c) )
log₄[(20*144)/45]=                             (log_a b +log_a c=log_a (b*c) )
log₄(2880/45)=
log₄(64)=n     ⇔      4^n=64                (log_a x=n   ⇔ a^n=x)

4^n=4³      ⇒n=3                                 (64=4*4*4=4³)

Answer: log₄20-log₄ 45+log₄144=3

5 0
2 years ago
Math help please <br> Knock knock
mart [117]
3/9
24/54
35/5
35/7

Explanation:
express 1/2 with denominator 10

All you have to do is divide the 10 by two and multiply your result by the numerator.

Therefore: 10/2=5
5x1=5

numerator= 5
denominator=10
7 0
2 years ago
What is the value of x, when 10(x + 2) = 5(x + 8)?
tatuchka [14]
The value of x is 4. The steps to solving the equation are to use distributive property first so that the equation then looks like this: 10x+20=5x+40
Next you would combine like terms and then the equation would look like this: 5x+20=40
Then you would use the subtraction property of equality to subtract 20 from 40 so your equation will now look like this: 5x=20
Then you use the division property of equality to divide 20 by 5 to get x=4
7 0
3 years ago
What's The Answer??????????????????
Yuri [45]
f(x) =  \dfrac{x}{2} - 2

g(x) = 2x^2 + x - 3

(f + g)(x) =  \dfrac{x}{2} - 2+ 2x^2 + x - 3

(f + g)(x) = 2x^2 + \dfrac{3}{2}x - 5
7 0
3 years ago
1
Allisa [31]

Answer:

-200 represents the price it orignally cost??

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Please,please,please someone answer this!! It's for a math performance task and It's overdue by a couple days so I need to finis
    15·2 answers
  • A box in the shape of a rectangular prism has a dimension of 30 meters x 27 meters x 28 meters what is the surface area of the b
    8·1 answer
  • If a roof’s slope is 0.5, how high will the roof rise over a 17- foot run?
    11·1 answer
  • Given that f(x)=x^2+3x+6 and g(x)= x-3/2, solve for f(g(x)) when x=1
    5·1 answer
  • Solve to following equation for x: 6(4x +5) = 3(x + 8) +3
    6·1 answer
  • The distribution of the scores on a standardized math exam in a school district is skewed to the right. Which of the following s
    11·1 answer
  • The sales tax rate is 4.625%. If Shelley buys a snowboard
    6·1 answer
  • Answer for 30 points and brainilest
    13·1 answer
  • HELP!
    15·1 answer
  • Please help i will give brainlyest i promise
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!