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Answer:
0.2333 = 23.33% probability that both of them have the secret decoder ring
Step-by-step explanation:
The cereals are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
In which:
x is the number of successes.
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.
In this question:
45 boxes, which means that
22 have the secret decoder ring, which means that
Two boxes, which means that
What is the probability that both of them have the secret decoder ring?
This is P(X = 2). So
0.2333 = 23.33% probability that both of them have the secret decoder ring
Answer:
The equation of the axis of symmetry is equal to
Step-by-step explanation:
we have
This is the equation of a vertical parabola written in vertex form open upward (because the leading coefficient is positive)
The vertex represent a minimum
The axis of symmetry is equal to the x-coordinate of the vertex
we have that
The vertex is the point (10,-6)
The x-coordinate of the vertex is 10
therefore
The equation of the axis of symmetry is equal to