Where do cheerios go every day at noon

5 of 8

aleksandr82 [10.1K]

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.

6 0

3 years ago

Which of the following is equivalent to 34 · 3-2?

saw5 [17]

34 multiplied by 3 is 102, subtract 2 and your answer is 100.

8 0

3 years ago

Question 3,4&5 Cindy bought a car for $21,330. A few years later she sold the car for $19,700.find the percent of change in

san4es73 [151]

The change in value was 8% which amounts to $1630

Further explanation:

The change in value is calculated by using the initial price and selling price of the car.

Given

Purchase Price = P = $21330

Selling Price = S = $19700

As the selling price is less than the purchase price, Cindy had loss.

$Loss=L= Cost\ price-selling\ price\\=21330-19700\\=\$1630$

Percentage of loss will be calculated as:

$Percent\ loss=\frac{1630}{21330}*100\\=8\%$

The change in value was 8% which amounts to $1630

Keywords: Loss, Percentage loss

Learn more about profit and loss at:

#LearnwithBrainly

6 0

3 years ago

1. Solve the equation.

Keith_Richards [23]

Answer:

1. -3

2. -12

3. 20

4. -15

5. 6

6. -15w+5

7. 10

8. C<-26

9.p> -40

10. P> 16

Step-by-step explanation:

~ -9p -17 = 10

-9p = 27

P = -3

~ x/4 -5 = -8

x/4 = -3

x = -12

~ p/5 +6 =10

p/5 = 4

p = 20

~ -2(m-30) =-6m

-2m+60=-6m

4m = -60

m = -15

~ 3n +2=8+2n

n = 6

8 0

4 years ago

You are planning to give you're a regale birthday surprise this coming 12 of July as she about to celebrate her 50th birthday. T

velikii [3]

All functions have an inverse expression.

The cost function is: $\mathbf{C(x) = 40000 + 100x}$ .
The inverse function is: $\mathbf{C'(x) = 0.01x - 400 }$

From the question, we have the following observations:

Base fare = 50000 pesos for first 100
Additional guest = 100 pesos

So, the cost function would be:

$\mathbf{C(x) = 50000 + (x - 100) \times 100}$

Where: x represents the number of guests, and C(x) represents the cost function

Expand

$\mathbf{C(x) = 50000 + 100x - 10000}$

Evaluate like terms

$\mathbf{C(x) = 40000 + 100x}$

To calculate the inverse function, we have:

$\mathbf{C(x) = 40000 + 100x}$

Replace C(x) with y

$\mathbf{y = 40000 + 100x}$

Swap x and y

$\mathbf{x = 40000 + 100y}$

Subtract 40000 from both sides

$\mathbf{x - 40000 = 100y}$

Divide both sides by 100

$\mathbf{\frac{x - 40000}{100} = y}$

Rewrite as:

$\mathbf{y= \frac{x - 40000}{100} }$

Split

$\mathbf{y= \frac{x}{100} - \frac{40000}{100} }$

$\mathbf{y= 0.01x - 400 }$

Hence, the inverse function is: $\mathbf{C'(x) = 0.01x - 400 }$

Read more about functions and inverse at:

brainly.com/question/10300045

3 0

3 years ago