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
<u><em>Answer: =-7.5+20y</em></u>
Step-by-step explanation:
distributive property: a(b+c)=ab+ac
a=-2.5, b=3, c=8y
-2.5*3-(-2.5)*8y
3(-2.5)-8(-2.5)y
simplify by equation.
3(-2.5)-8(-2.5)y=-7.5+20y
=-7.5+20y
Hope this helps!
Thanks!
Have a great day!
<span>In the question "Based on the data in the two-way table, what is the probability that a person weighs 120 pounds, given that he or she consumes 2,000 to 2,500 calories per day?"
The probability of an event, say A given another event, say B is given by n(A and B) / n(B).
Thus the probability that a person weighs 120 pounds, given that he or she consumes 2,000 to 2,500 calories per day is given by number of persons that weigh 120 pounds and consume 2,000 to 2,500 calories per day / number of persons that consume 2,000 to 2,500 calories per day.
From the table, the number of persons that weigh 120 pounds and consume 2,000 to 2,500 calories per day is 10 while the number of persons that consume 2,000 to 2,500 calories per day is 110.
Therefore, the required probability is 10 / 110 = 1 / 11</span>
When finding slope the answer is always going to be rise/run so in this case,
#1 would be 1/2 (bc it goes up one and right 2)
#2 we have a rise of 3 and a run of 3 leaving our slope to be 3/3 simplified simply being 1
another trick you could use is dividing the denominator by the numerator
3x + 15 - 2x + 12
(3x - 2x) + (15 + 12)
x + 26
hope this helped :)