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
olga nikolaevna [1]
3 years ago
13

Your class is in groups, working on a combinatorics worksheet. One of the questions asks how many possible ways 5 books out of a

box of 12 can be placed on a shelf. Your classmate suggests you calculate 12C5, which is 792. What would you say to explain how this suggestion is flawed, and how would you help correct them
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
5 0

Answer: 95040

Step-by-step explanation:

It is important to note that selection and arrangement are two different things in permutation and combination study. In the scenario above, we have 12 books, out of which 5 is to be arranged on a shelf. The answer prescribed by 12C5 which gives 792, only solves the selection process of choosing 5 books from a total of 12. Every 5 books picked will also have to be arranged on the shelf which is solved as n!(number of ways of arranging n different objects)

Hence, to arrange 5 books from a total of 12 books on a book shelf is

nCr * r!

12C5 * 5!

792 * 120

= 95040

You might be interested in
Five buses leave on a field trip .There are about 45 students per bus.About how many students are on the 5 buses.
dangina [55]
45 x 5 = 225 so 225 students altogether on 5 buses
7 0
3 years ago
Read 2 more answers
A plane traveled from California and back. It took one hour longer on the way out than it did on the way back. The plane's avera
andrezito [222]

300t = 350(t-1)

300t = 350t-350

-50t=-350

t = -350 /-50

t = 7 hours

4 0
3 years ago
Read 2 more answers
In the month of June, the temperature in Johannesburg, South Africa, varies over the day in a periodic way that can be modeled a
Art [367]

Answer:

The answer is "\bold{T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5}"

Step-by-step explanation:

Given value:

Temp-maximum=18^{\circ}  

Temp. minimum = 3^{\circ}

It is halfway between 10 am and 10 pm to 4 am.  

The sinus and cosine roles could be used throughout the year to predict fluctuations in climate models. Its type of formula that can be used to model such information is:  

T = A \cos B(t-C) + D, where parameters are A, B , C, D, T is the ° C temperature and t is the time (1-24)

A = amplitude = \frac{(T_{max} - T_{min})}{2}\\\\

                       = \frac{(3 - 18)}{2}\\\\= - \frac{15}{2}\\\\ = -7.5

B = \frac{2 \pi}{24}\\\\

   = \frac{\pi}{12}

C = \text{ units translated to the right}= 4

D = y_{min} + amplitude = units \ translated \ up\\\\

D = 7.5 + 3 = 10.5

Its trigonometric function equation that model temperature T hours after midnight in Johannesburg t.

T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5

6 0
4 years ago
there are ten fish in an aquarium 4 of them are blue. write a decimal to show the part of the fish that are blue​
Makovka662 [10]

Answer:

0.40

Step-by-step explanation:

4/10=0.40

6 0
4 years ago
Read 2 more answers
Sutopa has 3/4 of the money Maneet has. Maneet has $18 less than Kim. Together, they have $286.40. How much money does each of t
anastassius [24]

Solving a system of equations we can see:

  • Sutopa has $73.20
  • Maneet has $97.60
  • Kim has $115.60

<h3>How much money each of them has?</h3>

First, let's define the variables:

  • S =  money that Sutopa has.
  • M = money that Maneet has.
  • K = money that Kim has.

We can write the system of equations:

S = (3/4)*M

M = K - $18

S + M + K = $286.40

First, we can rewrite the second equation to get:

K = M + $18

Now we can replace the first and second equations into the third one:

(3/4)*M + M + (M + $18) = $286.40

Now we can solve this for M:

M*(1 + 1 + 3/4) = $286.40 - $18

M = $268.40*(4/11) = $97.60

Now we can find the other two values:

K = M + $18 =  $97.60 + $18 = $115.60

S =  (3/4)*M =  (3/4)*$97.60 = $73.20

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

6 0
2 years ago
Other questions:
  • A sequence is defined by the recursive function f(n + 1) = f(n) – 2. If f(1) = 10, what is f(3)? 1 6 8 30
    13·2 answers
  • (10,17),(7,8) slope?
    7·2 answers
  • Find the area between the curves x=-2,x=3,y=4x,y=x-5
    12·1 answer
  • 8x+23/(x+3)(x+2) partial fraction decomposition
    13·1 answer
  • 1.5 cups per day how many gallons per weeek? (1gallon =16cup)
    15·1 answer
  • Rosalyn worked 44 hr one week and earned a ​$989 paycheck. she earnsnbsptime and a half ​(1.5 times her regular hourly​ wage) fo
    8·1 answer
  • Find an equivalent ratio for the proportional relationship. PQ restaurant offers 5 chicken rolls for $6.
    6·1 answer
  • Determine whether you can construct many, one, or no triangle(s) with each description.
    10·1 answer
  • Help me pls everyone
    12·1 answer
  • It takes peter 3/5 of an hour to paint one room. How long will it take for him to paint three rooms?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!