AC and DB are chords that intersect at point H.
2 answers:
Answer:
16 units
Step-by-step explanation:
see the attached figure to better understand the problem
Applying the Intersecting Chords Theorem
we have that
substitute the given values
Simplify
Find out the length of segment DB
<em>Note</em> In this problem it was not necessary to determine the value of x to calculate the DB segment.
Anyway, the calculation was done for didactic purposes.
The length of line segment DB is 16 units
<h3>Explanation: </h3>The Intersecting Chords Theorem or chord theorem states that when two chords are intersecting within a circle, the product of their respective segments is equal. This also a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords in a circle. It states that the products of the lengths of the line segments on each chord are equal.
AC and DB are chords that intersect at point H as shown in the figure below.
The intersection definition is, if the intersection happened of two sets A and B it is denoted by A ∩ B. It is the set that contains all elements of A that also belong to B, and nothing else. An intersection is a single point where two lines meet or cross each other.
Then we should find the length of the segment DB . The line segment is a part of a line with two distinct end points.
Therefore the length of line segment DB is equal to units
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Answer:
0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.
Step-by-step explanation:
For each employee hired, the are only two possible outcomes. Either it is a man, or it is a woman. The probability of a person hired being a man or a woman is independent of any other person. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
21 new employees.
This means that
She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women.
This means that
Help her address the charge of gender discrimination by finding the probability of getting three or fewer women when 21 people are hired.
This is
0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.