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
shepuryov [24]
4 years ago
7

Three stamps can be attached to each other in various ways.how many ways might three stamps be attached?

Mathematics
1 answer:
ivanzaharov [21]4 years ago
8 0
Let's call the stamps A, B, and C. They can each be used only once. I assume all 3 must be used in each possible arrangement.
There are two ways to solve this. We can list each possible arrangement of stamps, or we can plug in the numbers to a formula. 
Let's find all possible arrangements first. We can easily start spouting out possible arrangements of the 3 stamps, but to make sure we find them all, let's go in alphabetical order. First, let's look at the arrangements that start with A:
ABC
ACB
There are no other ways to arrange 3 stamps with the first stamp being A. Let's look at the ways to arrange them starting with B:
BAC
BCA
Try finding the arrangements that start with C:
C_ _
C_ _
Or we can try a little formula; y×(y-1)×(y-2)×(y-3)...until the (y-x) = 1 where y=the number of items.
In this case there are 3 stamps, so y=3, and the formula looks like this: 3×(3-1)×(3-2).
Confused? Let me explain why it works.
There are 3 possibilities for the first stamp: A, B, or C. 
There are 2 possibilities for the second space: The two stamps that are not in the first space.
There is 1 possibility for the third space: the stamp not used in the first or second space. 
So the number of possibilities, in this case, is 3×2×1.
We can see that the number of ways that 3 stamps can be attached is the same regardless of method used.


You might be interested in
Can u help me with this :p
Ne4ueva [31]

Answer:

12.5

10

Step-by-step explanation:

10(1/2+3/4)

5+7.5

12.5

10(1/2)+(8(3/4)-1)

5+(6-1)

5+5

10

4 0
3 years ago
A movie theater charges 9.00 for adults and $3.00 for senior citizens. On a day when 306 people paid for admission, the total re
elixir [45]

Answer: 2495

Step-by-step explanation:

9x + 7(325)-7x = 2495

    2x = 220

     x = 110 adults  and 215  senior citizens

CHECKING our answer***

$990 + $1505 = $2495

Wish You the Best in your Studies.

3 0
2 years ago
In a sample of 42 water specimens taken from a construction site, 26 contained detectable levels of lead. Construct a 95% conden
S_A_V [24]

Answer:

The 95% confidence interval for the proportion of water specimens that contain detectable levels of lead is (0.472,0.766).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

In a sample of 42 water specimens taken from a construction site, 26 contained detectable levels of lead.

This means that n = 42, \pi = \frac{26}{42} = 0.619

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.619 - 1.96\sqrt{\frac{0.619*0.381}{42}} = 0.472

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.619 + 1.96\sqrt{\frac{0.619*0.381}{42}} = 0.766

The 95% confidence interval for the proportion of water specimens that contain detectable levels of lead is (0.472,0.766).

4 0
3 years ago
El area de un triangulo es de 432 unidades cuadradas. ¿Cual es la altura y la base sabiendo que la base mide tres veces su altur
Lelu [443]

Usando el concepto del área del triángulo, se encuentra que :

  • La altura es de 16.97 unidades.
  • La base es de 50.91 unidades.

---------------------------

El área del triángulo de base b y altura h es dada por:

A = \frac{bh}{2}

---------------------------

  • El area es de <u>432 unidades quadradas</u>, o sea, A = 432
  • La base mide <u>tres veces su altura</u>, o sea, b = 3h

---------------------------

<u>Reemplazando en la ecuación para el área</u>, es posible encontrar la altura:

A = \frac{bh}{2}

432 = \frac{3h \times h}{2}

3h^2 = 864

h^2 = \frac{864}{3}

h^2 = 288

h = \sqrt{288}

h = 16.97

La altura es de 16.97 unidades.

---------------------------

La base es dada <u>en funcion da altura,</u> o sea:

b = 3h = 3(16.97) = 50.91

La base es de 50.91 unidades.

Se da un problema similar en brainly.com/question/23931350

8 0
3 years ago
This is index btw people
Setler [38]

A.) 4^2

B.) 5^4

C.) 3^1 x 7^4

D.) 2^2 x 9^4

Hope this helps you!!!!!!

3 0
3 years ago
Other questions:
  • Write 5 as a fraction with 5 in the denominator
    7·1 answer
  • 23, 24, 25, 26, and 27
    9·1 answer
  • What is 5/8 as a decimal?
    13·1 answer
  • Help asap! Brainliest + a lot of points! <br><br> Answer and explain!
    7·1 answer
  • David did not notice the multiplication sign between two three-digit numbers and wrote one six-digit number, which is equal to s
    11·1 answer
  • Is the answer is b please help
    10·1 answer
  • On the dietitians beverage tray are 16 filled six ounce glasses. Four glasses contain prune juice and two glasses contain apple
    5·1 answer
  • Find the median: 12, 5, 9, 18, 22, 25, 6, 15, 28, 14, 8, 24​
    12·1 answer
  • Please help me!!! ill give brainliest
    11·1 answer
  • The radius of a circle is 13 yards. What is the circle area ?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!