The following are the ages (years) of 5 people in a room:
14, 14, 18, 18, 22
A person enters the room.
The mean age of the 6 people is now 16.
What is the age of the person who entered the room​

Answers

Answer 1

Answer:

10

Step-by-step explanation:

14+14+18+18+22=86

6*16=96

96-86=10

Answer 2

Step-by-step explanation:

✧ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T \: I \: O \: N}}} }: [/tex]

Let the age of a person who entered the room be ' x '.

✧ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V \: E \: N \: \: D \: A\: T \: A } }}} : [/tex]

14 , 14 , 18 , 18 , 22 , x

n ( number of observation ) = 6

[tex] \sum[/tex] x = 14 + 14 + 18 + 18 + 22 + x = 86 + x

Mean = 16

☯ [tex] \boxed{ \large \tt{Mean \: = \frac{ \sum \: x}{n} }}[/tex]

~Plug the values :

⇢ [tex] \large{ \tt{16 = \frac{86 + x}{6}}} [/tex]

~Apply cross product property :

⇢ [tex] \large{ \tt{86 + x = 16 \times 6}}[/tex]

⇢ [tex] \large{ \tt{86 + x = 96}}[/tex]

Move 86 to right hand side and change it's sign

⇢ [tex] \large{ \tt{x = 96 - 86}}[/tex]

⇢ [tex] \boxed{ \large{ \tt{x = 10}}}[/tex]

[tex] \large{ \boxed{ \boxed{ \underline{ \large{ \tt{Our \: Final \: Answer : \underline{10}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♪

⋆ Let me know if you have any questions regarding my answer ⋆

[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ✎

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Related Questions

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Answers

Answer:

Divide both the numerator and denominator by the GCD

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Reduced fraction:  

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:(a)

Step-by-step explanation:

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Step-by-step explanation:

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Answers

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$326.94

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

a conference will take place in a large hotel meeting room. The organizers of the conference have created a drawing to determine how to arrange the room. The scale indicates 1/2 inch in the drawing represents 12 feet in the actual room. The scale drawing that the organizers are using is shown. The dotted line represents a folding wall. What is the actual length of the folding wall?

Answers

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If 12in = 12 ft

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Answers

Answer:

Step-by-step explanation:

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Answers

Answer:

option c (5,4) .............

Answer:

C. (5, 4)

Step-by-step explanation:

A. 6(1) + 3(4) = 18

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B. 6(3) + 3(0) = 18

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Answers

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Answers

Answer:

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Step-by-step explanation:

Looks like algebra yaayy:

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Answers

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Answers

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