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
lianna [129]
3 years ago
9

Miriam is picking out some movies to rent, and she is primarily interested in comedies and foreign films. She has narrowed down

her selections to 10 comedies and 15 foreign films. How many different combinations of 3 movies can she rent if she wants at least two comedies?
Mathematics
1 answer:
Keith_Richards [23]3 years ago
8 0

Answer:

There are 795 combinations.

Step-by-step explanation:

The number of ways or combinations in which we can select k element from a group of n elements is given by:

nCk=\frac{n!}{k!(n-k)!}

So, if Miriam want to choose 3 movies with at least two comedies, she have two options: Choose 2 comedies and 1 foreign film or choose 3 comedies.

Then, the number of combinations for every case are:

1. Choose 2 Comedies from the 10 and choose 1 foreign film from 15. This is calculated as:

10C2*15C1=\frac{10!}{2!(10-8)!}*\frac{15}{1!(15-14)!}

10C2*15C1=675

2. Choose 3 Comedies from the 10. This is calculated as:

10C3=\frac{10!}{3!(10-3)!}=120

Therefore, there are 795 combinations and it is calculated as:

675 + 120 = 795

You might be interested in
Trapezoid E F G H is reflected across line of reflection k to form trapezoid E prime F prime G prime H prime. Trapezoid E prime
Aleks [24]

Answer:

Its A

Step-by-step explanation:

i just took the quiz and got it right

8 0
2 years ago
Read 2 more answers
Can anybody help me?
Sloan [31]

Answer:

7⅓

Step-by-step explanation:

2 ÷ 3⁄11 → 2 × 3⅔ >> 7⅓

Dividing by a fraction is the exact same as multiplying by its multiplicative inverse.

* 3⅔ = 11⁄3

* 7⅓ = 22⁄3

I am joyous to assist you anytime.

6 0
3 years ago
Solve this polynomial:
irina [24]

Answer:

-4r²-3s²

Step-by-step explanation:

Remove unnecessary parentheses:

r²+s²-(5r²+4s²)

Connect like terms:

-4r²+s²-4s²

Simplify/ collect like terms:

-4r²-3s²

Solution:

-4r²-3s²

6 0
2 years ago
Read 2 more answers
Complete the table of values for f (2) = 2x^2+ 6x– 8 using Desmos.
spin [16.1K]

Answer:

Here you are. I hope this helps.

7 0
2 years ago
Read 2 more answers
Suppose each runner ran at the rate given in the table above for 3.1 miles. How much time will elapse between the first place fi
Scilla [17]
You didn't include the table but I found this table for the same statement, so I will answer you based on the next table:

Runner         distance           time

Arabella        7,299 feet        561 seconds
Bettina          3,425 yards     13 minutes, 12 seconds
Chandra       8,214 feet        0,195 hours
Divya            1,62 miles        732 seconds

To answer the question you must find the rate for each runner and then calculate the time to run 3.1 miles at each rate.

First you need to convert the data to obtain the rate in miles per second.

These are the main conversion identities:

1 mile = 5280 feet

1 mile = 1760 yards

1 hour = 3600 seconds

1 hour = 60 minutes

1 minute = 60 seconds

Arabella:

rate: 7,229 feet / 561 seconds * (1 mile / 5280 feet)  =

= 0.00244 mile/second

Time to run 3.1 miles: V = d / t => t = d / V = 3.1 miles / 0.00244 mile/second = 1270 seconds

Bettina:

13 minutes + 12 seconds = 13*60 seconds +12 seconds = 792 seconds

rate = 3425 yards / 792 seconds * 1 mile / 1760 yards = 0.00246 mile/seconds

Time to run 3.1 miles = 3.1 miles / 0.00246 mile/second = 1260 seconds

Chandra:

rate = 8214 feet / 0.195 hours * 1 mile / 5280 feet * 1hour / 3600 seconds =

= 0.00222 seconds

Time = 3.1 mile / 0.00222 seconds = 0.389 hour = 1396 seconds

Divya:

rate = 1.62 miles / 732 seconds = 0.00221 seconds

Time = 3.1 mile / 0.00221 seconds = 1403 seconds

Now you can find the difference between fhe last and the first 1403 seconds - 1260 seconds = 143 seconds

That is equivalent to 2.38 seconds.
6 0
3 years ago
Other questions:
  • Christine used 12 cubes to make this 3-step staircase. If she uses a total of 56 cubes to make a similar staircase, how many ste
    5·2 answers
  • Help!!!!!!! Thank you!!!!!!!
    9·2 answers
  • Determine the exact value of x <br> 3^2x = 5(3^x) +36
    6·1 answer
  • Which of the following represents 12% growth per time period?
    15·1 answer
  • (4x + 7) and (2x − 8)
    9·1 answer
  • Solve, by completing the square, x^2=22x-5, leave your answer in surd form
    13·1 answer
  • Can you guys please help me
    6·1 answer
  • The solution of 5(x+2) – 3x = 2(x – 5)
    15·1 answer
  • Jamie needs 1/5 meter of ribbon to decorate the border of a photo frame. Enter the number of photo frames that can be decorated
    12·2 answers
  • The members of the city cultural center have decided to put on a play once a night for a
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!