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2 answers:
Answer:
9
Step-by-step explanation:
To divide fractions with different denominators, use the SFM method:
S - Skip
F - Flip
M - Multiply
First, skip over to the divisor (the second number in the equation). This is the number to focus on.
Then, flip the numerator and denominator. In this case, you would flip it so the fraction reads .
Last, multiply the fractions by multiplying the numerators together as well as the denominator. The end result should be .
Simplify by dividing 54 by 6, leaving the quotient as 9.
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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.