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
Radda [10]
3 years ago
9

A die is rolled 20 times. given that three of the rolls came up 1, five came up 2, four came up 3, two came up 4, three came up

5, and three came up 6, how many different arrangements of the outcomes are there
Mathematics
1 answer:
Serjik [45]3 years ago
8 0

Solution:

Number of times a die is rolled = 20

1 - 3=A

2 - 5=B

3 - 4=C

4 - 2=D

5 - 3=E

6 -  3=F

Total number of arrangements of outcomes , when a dice is rolled 20 times given that 1 appear 3 times, 2 appears 5 times, 3 appear 4 times, 4 appear 2 times , 5 appear three times, and 6 appear 3 times

            = Arrangement of 6 numbers (A,B,C,D,E,F) in 6! ways and then arranging outcomes

= 6! × [ 3! × 5! × 4!×2!×3!×3!]

= 720 × 6×120×24×72→→[Keep in Mind →n!= n (n-1)(n-2)(n-3)........1]

= 895795200  Ways

You might be interested in
The right rectangular prism is made up of 48 cubes. Each cube has an edge length of inch. What is the volume of this prism?
Gnesinka [82]

Given:

  • The right rectangular prism is made up of 48 cubes.
  • Each cube has an edge length of 1/4 inch.

~

To Find:

  • What is the volume of this prism?

~

Solution:

~

<u>Using formula: </u>

~

  • \sf \pmb {Volume  \: of \:  cube =  {(side)}^{3} }

~

Substituting values in the formula:

~

\sf \longrightarrow  \dfrac{1}{4}  \times  \dfrac{1}{4}  \times  \dfrac{1}{4}

\sf \longrightarrow \dfrac{1}{64}  \:  {inch}^{3}

~

Now,

Volume of 48 such cubes = Volume of 1 cube × 48 cubes

~

\sf \longrightarrow \dfrac{1}{64}  \times 48

\sf \longrightarrow \dfrac{48}{64}

\sf \longrightarrow \dfrac{3}{4}  \:  {inch}^{3}

~

Hence,

  • Volume of prism is <u>3/4 inch^3</u>
7 0
2 years ago
The graph below shows the function f(x)=x-3/x2-2x-3. Which statement is true?
BARSIC [14]
1. Domain.

We have x^2-2x-3 in the denominator, so:

x^2-2x-3\neq0\\\\(x^2-2x+1)-4\neq0\\\\(x-1)^2-4\neq0\\\\(x-1)^2-2^2\neq0\qquad\qquad[\text{use }a^2-b^2=(a-b)(a+b)]\\\\(x-1-2)(x-1+2)\neq0\\\\&#10;(x-3)(x+1)\neq0\\\\\boxed{x\neq3\qquad\wedge\qquad x\neq-1}

So there is a hole or an asymptote at x = 3 and x = -1 and we know, that answer B) is wrong.

2. Asymptotes:

f(x)=\dfrac{x-3}{x^2-2x-3}=\dfrac{x-3}{(x-3)(x+1)}=\boxed{\dfrac{1}{x+1}}

We have only one asymptote at x = -1 (and hole at x = 3), thus the correct answer is A)
6 0
3 years ago
Read 2 more answers
A square residential lot is measured to be 100 feet on each side, with a possible
daser333 [38]
If I understood the question correctly, the answer would be 400
6 0
3 years ago
Maria used a number line to find 12 ÷ 4.
aleksandrvk [35]

Answer:

12 divided by 4 is 3, this is how::

Step-by-step explanation:

            ------ .(-4)------- .(-4) ---------.(-4)

<---------------------------------------------------->

0  1  2  3  4  5  6  7  8  9  10  11  12

hope this made sense

8 0
3 years ago
Read 2 more answers
For the function f(x)=x2−24÷3+12<br><br> f(1) <br><br><br> ​f(0)​ <br><br><br> ​f(−1)​
LuckyWell [14K]

Put the values of x to the equation of the function.

f(x)=\dfrac{x^2-24}{3}+12

f(1)=\dfrac{1^2-24}{3}+12=\dfrac{1-24}{3}+12=\dfrac{-23}{3}+12=-7\dfrac{2}{3}+12=4\dfrac{1}{3}\\\\f(0)=\dfrac{0^2-24}{3}+12=\dfrac{-24}{3}+12=-8+12=4\\\\f(-1)=\dfrac{(-1)^2-24}{3}+12=\dfrac{1-24}{3}+12=\dfrac{-23}{3}+12=-7\dfrac{2}{3}+12=4\dfrac{1}{3}

3 0
3 years ago
Other questions:
  • Which choice shows the best estimate of the product 0.52×695 ?
    15·1 answer
  • I’m confused on this question help?
    6·2 answers
  • 26,143,062 expanded form
    9·2 answers
  • ?/6 &lt; 1/2 which one is it
    15·2 answers
  • $160 divided 5g unit rate
    13·1 answer
  • 525x =300x +45x What is the answer to this problem.
    5·1 answer
  • 3<br>An aeroplane flies 4200 km at a speed of 800 km/ how long is the flight​
    7·1 answer
  • I need help... how to simplify this ?
    5·2 answers
  • 3 times a number equals 45
    9·2 answers
  • Choose the most convenient method to graph the line x=−3.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!