Topic 6 Online Assessment
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The value of CD is 10.7 cm , Option C is the right answer.
<h3>What is a Line Segment ?</h3>A line segment is a line of fixed measure.
From the figure , as Triangle ABC is a right angled triangle
sin 30 degree = (Perpendicular / Hypotenuse)
∠ B = 30° , AB= 10 cm
sin 30 = AC/10
AC = 5 cm.
To determine CD ,
In Triangle ADC ,
tan 25 = Perpendicular / Base
tan 25 = AC / CD
tan 25 = 5 / CD
CD = 5 / 0.4663
CD = 10.7 cm
Therefore the value of CD is 10.7 cm , Option C is the right answer.
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Using the hypergeometric distribution, it is found that there is a 0.0065 = 0.65% probability that both David and Valerie get picked for the Tahitian dance lesson.
The people are chosen without replacement from the sample, hence the <em>hypergeometric distribution </em>is used to solve this question.
<h3>What is the hypergeometric distribution formula?</h3>The formula is:
The parameters are:
- 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.
In this problem:
- There is a total of 18 people, hence
.
- 2 people will be chosen, hence
.
- David and Valerie corresponds to 2 people, hence
.
The probability that both get picked is P(X = 2), hence:
0.0065 = 0.65% probability that both David and Valerie get picked for the Tahitian dance lesson.
You can learn more about the hypergeometric distribution at brainly.com/question/25783392