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:
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:
2. Choose 3 Comedies from the 10. This is calculated as:
Therefore, there are 795 combinations and it is calculated as:
675 + 120 = 795
Answer:the total discounted cost for your stay is $1948.2
Step-by-step explanation:
If you book your room six months in advance, you will save 15% off the price of the room. You decide to take advantage of the offer and book a room for 6 nights. If the original price per night for the room is $382, this means that the value of the discount would be
15/100 × 382 = 0.15 × 382 = $57.3
The cost of the room for a night would be
382 - 57.3 = $324.7
Since you are staying for six nights,
the total discounted cost for your stay would be
324.7 × 6 = $1948.2
Answer:
180 cm^2
Step-by-step explanation:
For similar figures the ratio of areas is the square of the ratio of linear dimensions.
We take "tripled in size" to mean that the linear dimensions of the larger rectangle are 3 times those of the smaller rectangle. That means the area of the larger rectangle will be 3² = 9 times the area of the smaller one.
Area = (3²)(20 cm²) = 180 cm² . . . . area after tripled in size
