There are 50 students in a class and the professor chooses 15 students at random. what is the probability that you or your frien
d joe are among the chosen students?
2 answers:
Try this option (see the attachment). Make design according own requirements.
Note, that the description and details are under green line.
Answer: 0.030921
Note, that the description and details are under green line.
Answer: 0.030921
Answer:
30% probability that Joe is among the chosen students.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the students are chosen is not important, so the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes:
Joe
14 remaining students, from the remaining 49. So
Total outcomes:
15 students, from a set of 50. So
Probability
30% probability that Joe is among the chosen students.
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Then the foci are:
If we graph this equation we realize that in fact this is an ellipse with major axis matching the y-axis. So we can recognize these characteristics:
1. Center of the ellipse:
The midpoint C<span> of the line segment joining the foci is called the </span>center<span> of the ellipse. So in this exercise this point is as follows:
</span>
2. Length of major axis:
The line through the foci is called the major axis<span>, so in the figure if you go from -5, at the y-coordinate, and walk through this major axis to the coordinate 1, the distance you run is the length of the major axis, that is:</span>
3. Length of minor axis:
The line perpendicular to the foci through the center is called the minor axis. So in the figure if you go from -2, at the x-coordinate, and walk through this minor axis to the coordinate 2, the distance you run is the length of the minor axis, that is:
4. Foci:
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Then the foci are: