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
melisa1 [442]
3 years ago
12

If the mean of 5 positive integers is 15, what is the maximum possible difference between the largest and the smallest of these

5 numbers?​
Mathematics
1 answer:
Vikki [24]3 years ago
5 0

Answer:

if the 5 numbers are different, the maximum difference is 64

Step-by-step explanation:

We have 5 positive (different) integers, a, b, c, d and e (suppose that are ordered from least to largest, so a is the smallest and b is the largest.

The mean will be:

M = (a + b + c + d + e)/5 = 15.

Now, if we want to find the largest difference between a and e, then we must first select the first 4 numbers as the smallest numbers possible, this is:

a = 1, b = 2, c = 3 and d = 4

M = (1 + 2 + 3 + 4 + d)/5 = 15

M = (10 + d)/5 = 15

10 + d = 15*5 = 75

d = 75 - 10 = 65

then the difference between a and d is = 65 - 1 = 64.

Now, if we take any of the first 4 numbers a little bit bigger, then we will see that the value of d must be smaller, and the difference between d and a will be smaller.

You might be interested in
Which two integers are 7 units away from the number 5 on a number line? A-2 and 2 O B-2 and c. -- and D. -2 and​
Sloan [31]

Answer:

-2 and 12

Step-by-step explanation:

To find the two numbers which are 7 units away from 5, add 7 to 5 and subtract 7 from 5

5+7 = 12

5-7 = -2

5 0
2 years ago
What is the value of m(7+9)n, when m = 0.5 and n = 2?
stepladder [879]

Answer:

16

Step-by-step explanation:

Plug things in then use PEMDAS:

m * (7+9) * n

= 0.5 * (7+9) * 2

= 0.5 * 16 * 2

= 16

4 0
3 years ago
Read 2 more answers
Is the simplified form of 2square root of 3 + 3square root of 3 rational?<br> Yes No
mariarad [96]
2 sqrt3 + 3 sqrt3

= 5 sqrt3

Since this contains  the irrational sqrt3  it is irrational
4 0
3 years ago
Read 2 more answers
7b) A recipe for salad dressing calls for 3 tablespoons of oil for every 2 tablespoons of
mixas84 [53]

Answer:

the meaning of 1, 1.5 is that 1.5 is the oil sad and the 1 is the vinegar.

Step-by-step explanation:

4 0
3 years ago
L/m/a/o guys i have a 4.00 K/D o the new Call of duty cold war
Softa [21]

Answer:

Step-by-step explanation:

yea funnyyy

anywazzz this is a shcooll wedsiteeeeeeeeeeeeeeee

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of x? ​
    9·1 answer
  • Find the geometric mean of 125 and 5..
    11·2 answers
  • A librarian has a set of ten different books, including four different books about Abraham Lincoln. The librarian wants to put t
    14·1 answer
  • Pablo wants to save $800 to buy a TV. He saves $19 each week. The amount, A (in dollars), that he still needs after
    7·2 answers
  • Write the equation of the inequality in slope-intercept form. (Picture below)
    14·1 answer
  • Two angles that are supplementary are always linear pair true or false?
    14·1 answer
  • 14 + 3х - 5 + 4х how do I solve ​
    6·2 answers
  • How many times does 20 go to 140
    6·2 answers
  • Andre is planting saplings (baby trees). It takes him 30 minutes to plant 3 saplings. If each sapling takes the same amount of t
    9·1 answer
  • Find the value of each variable. 3x 2y 34
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!