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
ahrayia [7]
3 years ago
9

5 of 8

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
6 0

Given:

The mean age of 5 people in a room is 26 years.

A person enters the room. The mean age is now 33.

To find:

The age of the person who entered the room.

Solution:

Formula for mean:

\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}

The mean age of 5 people in a room is 26 years.

26=\dfrac{\text{Sum of ages of 5 people}}{5}

26\times 5=\text{Sum of ages of 5 people}

130=\text{Sum of ages of 5 people}

The mean age is now 33. It means, the mean age of 6 people is 33.

33=\dfrac{\text{Sum of ages of 6 people}}{6}

33\times 6=\text{Sum of ages of 6 people}

198=\text{Sum of ages of 6 people}

Now, the age of the person who entered the room is

Required age = Sum of ages of 6 people - Sum of ages of 5 people

                       = 198-130

                       = 68

Therefore, the age of the person who entered the room is 68 years.

You might be interested in
n oblong box has a volume equal to lwh, where l is the length, w is the width, and h is the height. If the volume is 24 cubic fe
Eddi Din [679]
For this case the volume of the box is given by:
 V = l * w * h
 Where,
 V = 24 feet ^ 3
 Substituting values we have:
 24 = l * w * h
 Clearing the value of h we have:
 h = 24 / (l * w)
 Answer:
 
The height in terms of the other sides is:
 
h = 24 / (l * w)
8 0
3 years ago
1
Papessa [141]

Answer:

d = 10/72

Step-by-step explanation:

c and d vary inversely

c = k/d

Where,

k = constant of proportionality

d = 2/9 when c = 5

c = k/d

5 = k ÷ 2/9

5 = k × 9/2

5 = 9k/2

Cross product

5*2 = 9k

10 = 9k

k = 10/9

c = k/d

c = 10/9 ÷ d

c = 10/9 × 1/d

c = 10/9d

find d when c = 8

c = 10/9d

8 = 10/9d

Cross product

8*9d = 10

72d = 10

d = 10/72

8 0
3 years ago
What is the answer? I'll give brainiest to whoever is right
drek231 [11]

Answer:

5) 0 6 ) 1/4

Step-by-step explanation:

So the slope ( gradient ) of line E is 0 because it is straight and it as no slope

The slope of line F is 1/4 because:

Gradient = y^2 - y^1 / x^2 - x^1

Gradient = 2-0 / 6- -2

Gradient= 2 / 8

2/8 in lowest term is 1/4

YOU MIGHT AVE A DIFFERENT METHOD BUT ANSWERS MUST BE THE SAME.

HOPE IT HELPED

5 0
2 years ago
Help pls, Which graph correctly shows point A representing z1 − z2 on a complex plane where z1 and z2 are complex numbers?
Marianna [84]

Answer:

The first diagram is the correct one

Step-by-step explanation:

Notice that the subtraction of two complex numbers (z1- z2) implies the use of the opposite for the real and imaginary part of the complex number that is subtracted (in our case of z2). When we do such, the complex number z2 gets reflected about the origin (0,0), and then the real components of the two numbers get added among themselves and the imaginary components get added among themselves.

The diagram that shows such reflection about the origin [ z2 = 3 + 5 i being converted into -3 - 5 i] and then the combination of real parts [-3 + 5 = 2] and imaginary parts [-5 i - 3 i = - 8 i], is the very first diagram shown.

4 0
3 years ago
Find the value of c and AB if B is between A and C,AB=2r,AC=-5and BC=7​
elena-14-01-66 [18.8K]

AB=2r

BC=7

AC=AB+BC

-5=2r+7

-12=2r

-6=r

AB=-12

6 0
3 years ago
Other questions:
  • Algebra- Find the value of X
    8·2 answers
  • how would you translate this into an equation one third of the number is 12 less than the number itself
    12·1 answer
  • What is 45 1/2% as a fraction in simplest form?
    11·1 answer
  • What are the zeros of the polynomial function?
    12·1 answer
  • Will give brainliest and rate if you get both correct<3 Worth 35 points!!
    13·2 answers
  • What are the vertical and horizontal asymptotes of f (x) = StartFraction 2 x Over x minus 1 EndFraction?
    12·2 answers
  • The menu at the 51's baseball game has 8 flavors of drinks, 4 types of french fries, and 3 types of hamburgers. How many differe
    11·1 answer
  • My last question on the pre test someone help lol
    10·1 answer
  • Help please i’m begging
    8·1 answer
  • Solve the system of linear equations by substitution.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!