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 half of 2/3 an
jek_recluse [69]

Answer:

0.3333

Step-by-step explanation:

6 0
3 years ago
a family buys a car for $20,000. the value of the car decreases about 20% each year. after 6 years, the family decides to sell t
Neporo4naja [7]
No, the car is losing value not gaining it.
7 0
3 years ago
Read 2 more answers
A certain flight arrives on time 80 percent of the time. Suppose 132 flights are randomly selected. Use the normal approximation
kondaur [170]
D because 118 and 120 is even numbers
3 0
3 years ago
Match the vocabulary word with the correct definition.
QveST [7]
1-C 2B 3A correct response
5 0
3 years ago
I need immediate help
Greeley [361]

Answer:

when we put 1 from a2 we can say that a2 equal to 2 because 2.5^n-1= 2

Step-by-step explanation:

answer is b

7 0
3 years ago
Other questions:
  • lice walks along a road which can be modeled by the equation y=4x, where (0,0) represents her starting point. When she reaches a
    14·1 answer
  • to solve x+11=23,Jasmine subtracted 11 from both sides of the equation. which property justifies this step?
    5·2 answers
  • How would I complete this?
    13·1 answer
  • Is this correct ? I need a little help !
    7·1 answer
  • Help me with theseee 2!! I will mark brainliestttt 9-10
    9·1 answer
  • Give me one secondddd..
    10·1 answer
  • Suppose that y varies directly with x and inversely with z, and y = 8 when x = 4 and z =
    9·1 answer
  • Devon and Kylie each makr a cheese sauce. Devon uses 8 oz of cheese for every 9 oz of cream. Kylie uses 11 oz of cheese for ever
    10·1 answer
  • Answer and explanation
    5·1 answer
  • Which of these is a correct expansion of (4x-2)(2x² + 3)?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!