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
saw5 [17]
3 years ago
7

For a particular list of four distinct integers the mean, median and range have the same value. If the least integer in the list

is 10, what is the greatest value for an integer in the list?
Mathematics
1 answer:
MatroZZZ [7]3 years ago
6 0

Answer:

The greatest value = 30

Step-by-step explanation:

Let the greatest value in the given 4 integers be x.

So, the least integer is 10 and the greatest integer is x.

Let the remaining two integers be 'a' and 'b'.

Now,

Mean = \frac{10+a+b+x}{4}

Median = Average of 2nd and 3rd observations

= \frac{a+b}{2}

Range = x - 10

From the given information,

Mean = Median = Range

Therefore,

\frac{10+a+b+x}{4} =\frac{a+b}{2} =x - 10

From the first two ratios,

10 + a + b + x = 2a + 2b

or,

a + b = 10 + x        --- (1)

From the last two ratios,

a + b = 2x - 20      --- (2)

From (1) and (2),

10 + x = 2x - 20

10 + 20 = 2x - x

x = 30

Hence, the greatest value = 30


You might be interested in
I need help on number 22
galben [10]

Tom : 22/10= 2.2  Ian: 18/9= 2  Tom has higher percentage

7 0
2 years ago
Read 2 more answers
What is the name for an 8-sided polygon
Mazyrski [523]

An 8 sided polygon is, an Octagon

8 0
2 years ago
Read 2 more answers
A certain clock loses 15 minutes every hour. SUppose the clock is set to the correct time at 9am. What will the correct time be
Nikitich [7]

Answer:

from my understanding te correct time will be at 10:15am

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont k
nataly862011 [7]

Answer:

the characters choices often cause the conflicts

create links to other slides , videos or documents

a presentation that does not have any interaction

Step-by-step explanation:

hope I helped!! ;)

4 0
2 years ago
Read 2 more answers
What is the area of the beach ball with a diameter of 14 in. ?
Juliette [100K]

Answer:

The answer is 675.75 square Inches

Step-by-step explanation:

<h3><u>Given</u>;</h3>
  • Diameter (d) = 14 in.
<h3><u>To </u><u>Find</u>;</h3>
  • Area of beach ball = ?
<h3><u>Formula</u>;</h3>
  • Area = 4πr²

Now,

Radius (r) = diameter ÷ 2

r = 14/2 in.

r = 7 in.

Now,

A = 4πr²

A = 4 × 22/7 × (7)² in.

A = 4 × 22 × 7 in.

A = 615.75 square in.

Thus, The area of the beach ball with a diameter of 14 in. is 615.75 square in.

6 0
2 years ago
Read 2 more answers
Other questions:
  • Consider a shape with vertices A(1, 4), B(3, 0), C(1, −4), and D(−1, 0) on the coordinate plane. 1) Which proves that the shape
    9·2 answers
  • N+6m evaluate the expression when m=5 n=8
    11·1 answer
  • URGENT HELP PLEASE!
    6·1 answer
  • What is 238cm into meters
    11·2 answers
  • How do you solve the equation 2x - 125 = 400
    9·2 answers
  • Factor completely:<br><br> 6z2 + 18z
    8·1 answer
  • Which of the following shows two points on the line f(x)=x-7
    7·1 answer
  • Who is my favorite person ever?
    5·1 answer
  • 6 people equally share 56 gummy worms. How many gummy worms does each person get?
    15·2 answers
  • (e) The women on the Maryland field hockey team are not a random sample of all female college field
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!