Answer: f(x) = 1,024(0.50)^x
Step-by-step explanation:
Hi, to answer this question we have to apply a decreasing rate formula:
f(x)= P (1 - r) ^x
Where:
p = original number of players
r = decreasing rate (decimal form, since half of the players are eliminated the percent decrease is 50%)
x = rounds
f(x) = number of players after x rounds
Replacing with the values given:
f(x) = 1,024(1-50/100)^x
f(x) = 1,024(1-0.5)^x
f(x) = 1,024(0.5)^x
Answer:
5.5% probability that a randomly selected person plays soccer
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Desired outcomes:
People surveyed who play soccer, so ![D = 22](https://tex.z-dn.net/?f=D%20%3D%2022)
Total outcomes:
Total people surveyed, so ![P = 400](https://tex.z-dn.net/?f=P%20%3D%20400)
What is the probability that a randomly selected person plays soccer?
![P = \frac{D}{T} = \frac{22}{400} = 0.055](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7BD%7D%7BT%7D%20%3D%20%5Cfrac%7B22%7D%7B400%7D%20%3D%200.055)
5.5% probability that a randomly selected person plays soccer