The probability that the next person will be assigned an orchestra seats is 2/5.
<h3>What is Probability?</h3>
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Here, Available Orchestra seats = 8
Balcony seats = 12
Total available seats = 12 + 8 = 20
Probability = Favorable Outcome / Total Outcome
Probability of getting orchestra ticket = 8/20
= 2/5
Thus, the probability that the next person will be assigned an orchestra seats is 2/5.
Learn more about Probability from:
brainly.com/question/14210034
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Answer:
c
Step-by-step explanation:
<h2>
Explanation:</h2>
An exponential function is given by the following form:
Here we know two points:
![\bullet \ (0,6) \\ \\ x=0, \ y=6 \\ \\ 6=ab^0 \\ \\ \boxed{a=6} \\ \\\ \\ \bullet \ (3,750) \\ \\ x=3, \ y=750 \\ \\ 750=6b^3 \\ \\ b^3=\frac{750}{6} \\ \\ b=\sqrt[3]{125} \\ \\ \boxed{b=5}](https://tex.z-dn.net/?f=%5Cbullet%20%5C%20%280%2C6%29%20%5C%5C%20%5C%5C%20x%3D0%2C%20%5C%20y%3D6%20%5C%5C%20%5C%5C%206%3Dab%5E0%20%5C%5C%20%5C%5C%20%5Cboxed%7Ba%3D6%7D%20%5C%5C%20%5C%5C%5C%20%5C%5C%20%5Cbullet%20%5C%20%283%2C750%29%20%5C%5C%20%5C%5C%20x%3D3%2C%20%5C%20y%3D750%20%5C%5C%20%5C%5C%20750%3D6b%5E3%20%5C%5C%20%5C%5C%20b%5E3%3D%5Cfrac%7B750%7D%7B6%7D%20%5C%5C%20%5C%5C%20b%3D%5Csqrt%5B3%5D%7B125%7D%20%5C%5C%20%5C%5C%20%5Cboxed%7Bb%3D5%7D)
Finally, our exponential function is:
<h2>Learn more:</h2>
Behavior of functions: brainly.com/question/12891789
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