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
Katen [24]
2 years ago
6

Please answer this with explanation. Please I really am struggling. I will mark you brainalist. Please solve it Please

Mathematics
1 answer:
Hatshy [7]2 years ago
8 0

Answer:

13, 11, 4, 16, 6, 22

Step-by-step explanation:

<em>Let the second digit be x and the last digit be y</em>

Given:

  • Data set: 13, x, 4, 16, 6, y
  • Mean = 12
  • y = 2x or x = 2y

The mean of the data is the average. The average can be calculated by determining the sum of the terms and dividing it by the total digits.

\implies \text{Mean of data:} \ \dfrac{13 + x + 4 + 16 + 6 + y}{6} = 12

Let us substitute the value of y (2x) in the data.

\implies \dfrac{13 + x + 4 + 16 + 6 + 2x}{6} = 12

Now, add all the terms in the data and simplify.

\implies \dfrac{39 + x +2x}{6} = 12

\implies \dfrac{39 + 3x}{6} = 12

Distribute the denominators and simplify.

\implies \dfrac{39}{6} + \dfrac{3x}{6}  = 12

\implies  \dfrac{13}{2} + \dfrac{x}{2}  = 12

\implies  6.5 + \dfrac{x}{2}  = 12

Subtract 6.5 both sides and simplify.

\implies  6.5 + \dfrac{x}{2}  - 6.5 = 12 - 6.5

\implies \dfrac{x}{2} = 5.5

Use cross multiplication and simplify.

\implies x= 5.5 \times 2

\implies  x= 11

To determine the value of "y", simply substitute the value of "x" into the expression that represents the value of "y".

\implies y = 2x

\implies y = 2(11)

\implies y = 22

When the x and y values are substituted in the data, we get;

  • ⇒ 13, 11, 4, 16, 6, 22

Therefore, the data is 13, 11, 4, 16, 6, 22.

You might be interested in
What is 772/7 s mixed number?
maxonik [38]
It would be equal to 110 2/7
4 0
2 years ago
What is the value of logo<br> 36?
Leya [2.2K]

If you mean log, then 1.556303

8 0
3 years ago
Can someone help me please?
Genrish500 [490]

Answer:

56

Step-by-step explanation:

The angle sum theorem *I think* is that for an n-sided shape, the total sum of its angles is 180(n-2).

The sum of a triangles' angles is 180 degrees.

Therefore 4v-44 = 180.

v - 11 = 45

v = 56 degrees

Note: always check if the answer makes sense

6 0
3 years ago
Read 2 more answers
I have no idea what the answers are
lara [203]

Hello from MrBillDoesMath!

Answer:

Top line: y = (2/3)x + 2

Bottom line:  y = (2/3)x  -1

Discussion:

The graph provided is hard to read but I did the best I could.

The top line appears to pass through the points (0,2) and (-3,0)

For this line

m =  change y /change x = (0-2)/(-3-0) = -2/-3 = +2/3. So

y = mx + b => y = (2/3) x+ b.  As the line passes through (0,2) set x = 0, y= 2 in y = (2/3)x + b =>  

2 = (2/3) 0 + b   => b = 2

Therefore    y = (2/3)x + 2

The bottom line appears to pass through the points (0,-1) and (3,1)

For this line

m =  change y /change x = (1-(-1)) /(3-0) = +2/-3. So

y = mx + b => y = (2/3) x+ b.  As the line passes through (0,-1) set x = 0, y= -1  in y = (2/3)x + b =>  

-1  = (2/3) 0 + b   => b = -1

Therefore    y = (2/3)x + -1

Thank you,

MrB

5 0
3 years ago
Harriet has 3/4tanks of gas left in her car .if she needs 1/4 tank to go to her friends house and another 1/4 tank to get back h
givi [52]
Yes, because 1/4 plus 1/4 equals 2/4 (or 1/2) and 3/4-2/4 equals 1/4.

7 0
2 years ago
Other questions:
  • Select all the correct locations on the graph. At which points are the equations y = x2 + 5x − 2 and y = x + 1 equal?
    14·1 answer
  • Solve 2x2 + 20x = −38.
    7·1 answer
  • PLEASE HELP I GIVE THANKS
    11·2 answers
  • A school football team is selling raffle tickets As a fundraiser it cost them $155 to print the tickets and they would like to m
    14·1 answer
  • Represent 3/4 on the number line<br><br> PLEASE ANSWER.......I HAVE TO ANSWER NOW.....
    5·1 answer
  • 17. MODELING WITH MATHEMATICS The data
    9·1 answer
  • I needddd help it’s urgenttttt!!!!
    5·1 answer
  • Pls the timer is almost finish-
    6·1 answer
  • Lindsay prepared 9 containers of fruit punch for a party. After the party, there were still 4 4/9 containers of fruit punch left
    14·1 answer
  • HELP me pleaseee I can’t do it ima drop
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!