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.
Answer:
x=1+√13 or x=1−√13
Step-by-step explanation:
Step 1: Subtract 39 from both sides.
5x2−10x−21−39=39−39
5x2−10x−60=0
For this equation: a=5, b=-10, c=-60
5x2+−10x+−60=0
Step 2: Use quadratic formula with a=5, b=-10, c=-60.
x=
−b±√b2−4ac
2a
x=
−(−10)±√(−10)2−4(5)(−60)
2(5)
x=
10±√1300
10
x=1+√13 or x=1−√13