JI kkk dm em an s k. Gn dnzexnexnrxnex
1 answer:
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Answer:
A) None
Step-by-step explanation:
1) shoudnt neccesarily be a factor of nst, for example, if s = 3, t = 4, and n = 12, then both s and t are factors of n, but
is not a factor of nst = 144.
2) shoudnt neccesarily be a factor of nst. Let s be 4, let t be 6, and let n be 12. Then n is a factor of both s and t, but
is not a factor of nst = 12*24. In fact, it is a greater number.
3) Again, s+t isnt necessarily a factor of nst, let s be 2 and t be 3. Then both s and t are factor of n = 12. However 5 = s+t is not a factor of nst = 72.
So, neither of the three options is guaranteed to be a factor of nst. In fact, for s = 4, t = 6, and n = 12, none of the three options are valid.
Answer:
0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.
Step-by-step explanation:
The kittens are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.
This means that
We want 3 boys, so
The director is going to choose 8 of these kittens at random to be in the commercial.
This means that
What is the probability that the director chooses 3 boy kittens and 5 girl kittens?
This is P(X = 3).
0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.