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
a_sh-v [17]
2 years ago
7

Four integers have a mean of 12, a median of 14, a mode of 14 and a range of 12.

Mathematics
1 answer:
Zina [86]2 years ago
5 0

Answer:

4, 14, 14, 16

Step-by-step explanation:

<u>Key</u><u> </u><u>skills</u><u> </u><u>needed</u><u>:</u><u> </u><u>Casework</u><u>,</u><u> </u><u>Mean</u><u>,</u><u> </u><u>Median</u><u>,</u><u> </u><u>and</u><u> </u><u>Mode</u>

1) We start with 4 numbers _ _ _ _

2) We can determine two of the numbers by using the fact that the median is 14 and the mode is 14.

3) The numbers would have to be:

  • _ 14 14 _
  • _ 14 14 14

The 2nd one does not work because the last number would have to be a 6 to have a mean of 12, but the range would not be 12.

4) So, our numbers are _ 14 14 _

5) The two numbers add up to 20 (in order to have a mean of 12. If you subtract the bigger one by the smaller one, it will be 12.

6) We can make a system: saying x is the bigger number and y is the smaller number.

x + y = 20

x - y = 12

Add both and you will get 2x = 32 (since the y values cancel out).

7) divide by on both sides, and x = 16.

8) To find y, we can plug x back in to one equation:

16 + y = 20

y = 4

Our smaller number is 4 and our bigger number is 16.

9) Therefore the numbers are: 4, 14, 14, 16

<em>Hope</em><em> </em><em>you</em><em> </em><em>understood</em><em> </em><em>and</em><em> </em><em>have</em><em> </em><em>a</em><em> </em><em>nice</em><em> </em><em>day</em><em>!</em><em>!</em><em> </em><em>:</em><em>D</em>

You might be interested in
Calculate the quotient below and give your answer in scientific notation.<br> 2.64*10^-3\8.0*10^0
Zolol [24]

Answer:

The quotient of: \frac{2.64\cdot 10^{-3}}{8.0\cdot 10^0} is: \mathbf{3.3\times 10^{-4}}

Step-by-step explanation:

We need to find quotient of: \frac{2.64\cdot 10^{-3}}{8.0\cdot 10^0}

We know that 10^0=1

Now solving:

\frac{2.64\cdot 10^{-3}}{8.0\cdot 10^0}\\=\frac{2.64\cdot 10^{-3}}{8.0}\\=\frac{0.00264}{8}\\=0.00033

Writing it in scientific notation

0.00033\\=3.3\times10^{-4}

So, the quotient of: \frac{2.64\cdot 10^{-3}}{8.0\cdot 10^0} is: \mathbf{3.3\times 10^{-4}}

3 0
3 years ago
What is 5x – 8x + 2 + 5=
nikklg [1K]

Answer: -3x+7

Step-by-step explanation: Good luck! :D

3 0
3 years ago
Read 2 more answers
My mom is making me do this and 2 others, which was PAST, I did them but at like 75%,why make me redo them if their PAST
ch4aika [34]

Answer:

here

Step-by-step explanation:

9-3=6

9+-3=6

3 0
2 years ago
240 fl oz =how many c?
Lady_Fox [76]
30 cups, because, 1 fl oz equals 0.125 cups, I hope this helped! :)
8 0
3 years ago
The sides of a triangle have lengths 3, 25, and 27. What kind of triangle is it ?
Andrew [12]

Answer:

Step-by-step explanation:

it's obtuse the sides are to wide

3 0
2 years ago
Other questions:
  • Is the expression 3x + 2x - 4 in simplest form?Explain.
    15·2 answers
  • Simplify sqrt 363 -3 sqrt 27
    12·1 answer
  • An acute angle θ is in a right triangle with cos θ = five sixths. What is the value of sec θ?
    6·2 answers
  • At a local fitness center, members pay a $14 membership fee and $3 for each aerobics class. Nonmenbers pay $5 for each aerobics
    6·1 answer
  • Which point lies on a circle with a radius of 5 units and center at P(6, 1)?
    8·1 answer
  • A new grocery store is open in next week and all the employees need uniforms to wear uniforms are sold in packages of eight the
    5·1 answer
  • 3x + 8y = 14 find the x and y intercepts of each function
    9·1 answer
  • Find the equation of a line passing through the point (1, 1) and having a slope of 3.
    15·1 answer
  • 9 years 11 months =<br> _months?
    8·2 answers
  • Helppppp with alll the problems asap!! Show your work
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!