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
Hello,
f'(x) = sin(x) - 65 → f(x) = -cos(x) - 65x
The domain of a function are the possible input values of the function.
<em>The domain of the function is (d) Whole numbers</em>
First, we identify the start and end values of x on the graph.
We have:

The graph has no end; so:

This means that the domain of the graph is 
The number of times one can visit the pool cannot be decimal.
Hence, the domain of the function is whole numbers
Read more about domain at:
brainly.com/question/15339465
Answer:
The probabilty of having at least one pink bulb if 4 bulbs are purchased is 13%.
Step-by-step explanation:
The proportion of pink bulbs is p=0.4.
If X is the amount of pink bulbs in a group of 4 bulbs, we can model this as a binomial distribution problem.
The probability that at least one of the bulbs is pink is P(X≥1)

The probabilty of having at least one pink bulb if 4 bulbs are purchased is 13%.