Answer:
u = fv/(v - f)
Step-by-step explanation:
1/f = 1/u + 1/v
1/u = 1/f - 1/v = v/fv - f/fv = (v-f)/fv
1/u = (v-f)/fv
u = fv/(v - f)
Using the combination formula, it is found that:
There are 364 different orders of top-three finishers that include all seniors.
The probability that the top-three finishers will all be seniors is 15.38%.
The order in which the players are taken is not important, hence the <em>combination formula</em> is used to solve this question.
<h3>What is the combination formula?</h3>
is the number of different combinations of x objects from a set of n elements, given by:
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
In total, three students are taken from a set of 14, hence:
![C_{14,3} = \frac{14!}{3!11!} = 364](https://tex.z-dn.net/?f=C_%7B14%2C3%7D%20%3D%20%5Cfrac%7B14%21%7D%7B3%2111%21%7D%20%3D%20364)
Including only seniors, it would be three students from a set of 8, hence:
![C_{8,3} = \frac{8!}{3!5!} = 56](https://tex.z-dn.net/?f=C_%7B8%2C3%7D%20%3D%20%5Cfrac%7B8%21%7D%7B3%215%21%7D%20%3D%2056)
Hence the probability is given by:
p = 56/364 = 0.1538 = 15.38%.
More can be learned about the combination formula at brainly.com/question/25821700
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Answer:
Susie is correct the function is x times itself = y.
Answer:
2920 miles
Step-by-step explanation:
365 times 8 = 2920
Step-by-step explanation:
if that is a problem for the end of the school year, what problems did you solve during the year ?
this question needs one of the basic principles of angles :
the sum of all angles around one point on one side of a line is always 180°, because that line can be seen as the diameter of a circle, and the point is the center of that circle. so, all angles in one side of the line are representing a half-circle.
this special point here is clearly T.
and 85 + x = 180
x = 180 - 85 = 95°