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
Olenka [21]
2 years ago
14

Donna is putting 9 books in a row on the bookshelf she will put one of the books gullivers travel in the first spot she will put

in another of the bucks a tale of two cities in the last spot in how many ways can she put the books on the shelf
Mathematics
1 answer:
denpristay [2]2 years ago
4 0

There are 5,040 different ways in which she can order the books.

<h3>In how many ways can she put the books on the shelf?</h3>

We know that Donna has 9 books, but 2 of these books already have fixed positions (the first one and the last one).

So we only need to order the remaining 7 books in 7 positions.

  • On the first position, we have 7 options (7 books to put there).
  • On the second position, we have 6 options (because one book is already in the first position).
  • On the third position, we have 5 options.

And so on for the remaining positions.

The total number of different combinations in which she can order the books is given by the product between the numbers of options above, so we will get:

C = 7*6*5*4*3*2*1 = 5,040

If you want to learn more about combinations:

brainly.com/question/251701

#SPJ1

You might be interested in
4. Dean Pelton wants to perform calculations to impress the accreditation consultants, but upon asking for information about GPA
Leya [2.2K]

Answer:

the minimum records to be retrieved by using Chebysher - one sided inequality is 17.

Step-by-step explanation:

Let assume that n should represent the number of the students

SO, \bar x can now be the sample mean of number of students  in GPA's

To obtain n such that P( \bar x \leq 2.3 ) \leq .04

⇒ P( \bar x \geq 2.3 ) \geq .96

However ;

E(x) = \int\limits^4_2 Dx (2+e^{-x} ) 4x = D  \\ \\ = D(e^{-x} (e^xx^2 - x-1 ) ) ^D_2 = 12.314 D

E(x^2) = D\int\limits^4_2 (2+e^{-x})dx \\ \\ = \dfrac{D}{3}[e^{-4} (2e^x x^3 -3x^2 -6x -6)]^4__2}}= 38.21 \ D

Similarly;

D\int\limits^4_2(2+ e^{-x}) dx = 1

⇒ D*(2x-e^{-x} ) |^4_2 = 1

⇒ D*4.117 = 1

⇒ D= \dfrac{1}{4.117}

\mu = E(x) = 2.991013 ; \\ \\ E(x^2) = 9.28103

∴  Var (x)  = E(x^2) - E^2(x) \\ \\  = .3348711

Now; P(\bar \geq 2.3) = P( \bar x - 2.991013 \geq 2.3 - 2.991013) \\ \\ = P( \omega  \geq .691013)  \ \ \ \  \ \ \ \ \ \ (x = E(\bar x ) - \mu)

Using Chebysher one sided inequality ; we have:

P(\omega \geq -.691013) \geq \dfrac{(.691013)^2}{Var ( \omega) +(.691013)^2}

So; (\omega = \bar x - \mu)

⇒ E(\omega ) = 0 \\ \\ Var (\omega ) = \dfrac{Var (x_i)}{n}

∴ P(\omega \geq .691013) \geq \dfrac{(.691013)^2}{\frac{.3348711}{n}+(691013)^2}

To determine n; such that ;

\dfrac{(.691013)^2}{\frac{.3348711}{n}+(691013)^2} \geq 0.96 \\ \\ \\ (.691013)^2(1-.96) \geq \dfrac{-3348711*.96}{n}

⇒ n \geq \dfrac{.3348711*.96}{.04*(.691013)^2}

n \geq 16.83125

Thus; we can conclude that; the minimum records to be retrieved by using Chebysher - one sided inequality is 17.

5 0
3 years ago
Please help me! <br> Will give brainlst :)
eduard

Answer:

the answer

Step-by-step explanation:

and solution are

above

7 0
3 years ago
Mr. Liaw's ceramic mug has a volume of 60, but a radius of 2 inches the ceramic mug?​
Anuta_ua [19.1K]

Answer:

<u>4.77 in.</u>

Step-by-step explanation:

Height = volume / πr²

= 60 / 3.14 x 4

= 15/3.14

= <u>4.77 in.</u>

4 0
3 years ago
Read 2 more answers
Anyone i need help with this
DIA [1.3K]

Answer:

Step-by-step explanation:

a1=90-a2

a1=90-30=60

a2 is opposite 30 and opposite angles are equal so

a2=30

The sum of the angles of a triangle are equal to 180 degrees.

a2+a3+70=180

a3+30+70=180

a3=100=180

a3=80

4 0
3 years ago
A {1,2,3,4}<br> B {2,4,9,16}<br> C {1,2}<br> D {1,2,3,4,9,16}
MaRussiya [10]

Answer:

B

Step-by-step explanation:

The range of the function consists of the set of output values ( on the right).

So its {2 4 9 16}

7 0
3 years ago
Read 2 more answers
Other questions:
  • I need help with math! Here is the eguation. <br>19.4.8 pt =___gal​
    10·1 answer
  • How can you express 499 to find the product 499×5 using mental math explain
    8·2 answers
  • Please help convert .. 1 yard of sand weights 1.13 tons , I paid $45.79 per ton what do I charge for a yard ?
    14·1 answer
  • Noor brought 21 sheets of stickers. she gave 1/3 of a sheet to each of the 45 students at recess. she wants to give the teacher
    6·1 answer
  • Three yards of fabric will be cut into pieces so that each piece is 8 inches long. How many pieces can be cut? (1 yard = 36 inch
    5·1 answer
  • Find the area of the shaded region.
    12·1 answer
  • C = 4x + 5y, the value of "x" when C = 51 &amp; y = -3 is:<br> =16.5<br> =9<br> =-16.5<br> =13
    5·1 answer
  • Write an equation of the line that passes through the given point with the given slope
    13·1 answer
  • On each turn of the knob, a gumball machine is equally likely to dispense a red, yellow, green or blue gumball, independent from
    5·1 answer
  • PLEASE HELP <br> Here is an equation.<br> P = d(4 + tg)<br> What is the equation when solved for g?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!