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
aivan3 [116]
3 years ago
6

Given the set of numbers (3, 5, 7, 11, 23), what number must be added to the set so that the median of the 6 numbers is 9? what

number must be added to the set so that the mean of the 6 numbers is 9?
Mathematics
1 answer:
Gennadij [26K]3 years ago
7 0
Easy

median is the number in the middle when they are arranged in increasing numerical order
example
1,2,3
median is 2 becaus it is in middle
1,4,6,7,8
6 is median

if you have an even amount then average the middle two
1,3,5,7
median is the mean of 3 and 5 which is 4

so

3,5,7,11,23
median is 7 right now
there are an odd amout of numbers
adding 1 will result in even
to find the median of even set of numbers, average the 2 middle ones
right now 7 is center
the mean of 5 and 7 is 6
the mean of 7 and 11 is 9
we want a mean of 9
so add any  number greater than or equal to 11
3,5,7,11,12,23 is one option
3,5,7,11,23,50 is another



mean is 9
mean is the average of them
x is the number to be added
6 numbers will be the set since there are 5 now and adding 1 will get 6
(3+5+7+11+23+x)/6=9
(49+x)/6=9
times both sides by 6
49+x=54
minus 49 both sides
x=5

the number added must be 5



to make the median of the 6 numbers 9, add any number greater than or equal to 11, such as 12 or 234

to make the mean 9, add 5 to the set
You might be interested in
Aiden's bill for lunch at a restaurant is $14.50, and he wants to leave a 18% tip.
zhannawk [14.2K]

Answer:

Tip: $2.61

Total: $17.11

Step-by-step explanation:

tip = total cost * rate of tip

Add the tip to the original bill, that's the total.

I hope this helped.

4 0
2 years ago
Simplify the following expression a3b2 divided a2b
lesya [120]
<span><span> a3b2/a2b</span> </span>Final result :<span> ab3 </span>Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "a2"   was replaced by   "a^2".  2 more similar replacement(s).

Step by step solution :<span>Step  1  :</span><span> b2 Simplify —— a2 </span><span>Equation at the end of step  1  :</span><span><span> b2 ((a3) • ——) • b a2 </span><span> Step  2  :</span></span>Multiplying exponential expressions :

<span> 2.1 </span>  <span> b2</span> multiplied by <span>b1 = b(2 + 1) = b3</span>

Final result :<span> ab<span>3</span></span>
3 0
3 years ago
Read 2 more answers
Can anyone solve the rest pls
Juliette [100K]
X=-1 y=-1, x=1 y=5, x=3 y=11
5 0
3 years ago
Read 2 more answers
1. Find the unit rate for lessons at Sit and Stay School. Show your work. Write your answer in the space below.
timofeeve [1]

Answer: $8

Step-by-step explanation:

96/12=8/1

4 0
3 years ago
Read 2 more answers
How do I create an equivalent expression that includes parentheses so that the value of the expression is 2 for 3+8-4x2-12
natka813 [3]
(3+8-4)×2-12
3+8=11
11-4=7
7×2=14
14-12=2
5 0
3 years ago
Other questions:
  • An adult African elephant weighs 8.25 tons, how much do 27 elephants weigh
    11·2 answers
  • Find an equation of the line containing (4,-2) and parallel to the line containing (-1,4) and (2,3).
    7·1 answer
  • Identify the explanatory variable and the response variable. A farmer wants to determine if the amount of precipitation received
    14·1 answer
  • Relationship B has a lesser rate than Relationship A. This graph represents Relationship A.Which equations could represent Relat
    9·1 answer
  • Which graph represents the solution set of y = x2 − 4 and x + y + 2 = 0?
    9·1 answer
  • Find x in this 45°-45°-90° triangle.<br> x=
    12·1 answer
  • In a survey of 850 students in a school, 90% reported having pets at home. If the margin of error is 3.4%, what is the interval
    11·2 answers
  • What transformation of Figure 1 results in Figure 2.? Select from the drop-down menu to correctly complete the statement. A Choo
    15·2 answers
  • Create a system of equations with a solution of (4,1)
    7·1 answer
  • Find the equation of a parabola with a focus at (0,–1) and a directrix at y = 4.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!