Answer: First option.
Step-by-step explanation:
You can idenfity in the figure that is formed by two secants that intersect outside of the given circle.
It is important to remember that, by definition:
Knowing this, you can set up the following equation:
Therefore, you must substitute values into the equation and then evaluate, in order to find the measure of the angle .
This is:
Answer:
0.0076 = 0.76% probability that all five plants emerged from treated seeds
Step-by-step explanation:
The plants were 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:
6 + 6 = 12 seeds, which means that
6 treated, which means that
Five sprouted, which means that
What is the probability that all five plants emerged from treated seeds?
This is P(X = 5). So
0.0076 = 0.76% probability that all five plants emerged from treated seeds