Answer:
4.356
Step-by-step explanation:
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
The transformation that can be used to show that ABCDE and its image are congruent is a 90° counterclockwise.
<h3>How to depict the transformation?</h3>
It should be noted that when we rotate a point through 90° counterclockwise, the mapping will be: (x, y) to (-y, x).
In this situation, it van be deduced that the x and y coordinates swapped positions. This illustrates a 90° counterclockwise rotation about the origin..
In this situation, since the rotation is a rigid motion, the two shapes are congruent.
Learn more about transformation on:
brainly.com/question/12895431
#SPJ1
-1>-2(x-4)-5(4x-7)
-1>-7(5x-11)
+7 +7
6>5x-11
+11 +11
17>5x
/5 /5
3.4>x
x<3.4
You have animals with 4 legs, and animals with 2 legs. Both animals only have one tail. So, given that they only have one tail, there are only 23 animals in the farmyard.
Now, the equation would be,