Answer: x=30 (Sorry for wasting your time if the answer is wrong)
Step-by-step explanation:
I did it the lazy way
80-20=60
60÷2=30
(If this is completely wrong then again, sorry)
Answer:
6 minutes
Step-by-step explanation:
every minute is 120
720/120=6
Answer is Fortnite default dance in text form.
⠀⠀⠀⠀⣀⣤
⠀⠀⠀⠀⣿⠿⣶
⠀⠀⠀⠀⣿⣿⣀
⠀⠀⠀⣶⣶⣿⠿⠛⣶
⠤⣀⠛⣿⣿⣿⣿⣿⣿⣭⣿⣤
⠒⠀⠀⠀⠉⣿⣿⣿⣿⠀⠀⠉⣀
⠀⠤⣤⣤⣀⣿⣿⣿⣿⣀⠀⠀⣿
⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣭⣶⠉
⠀⠀⠀⠤⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⣭⣿⣿⣿⠀⣿⣿⣿
⠀⠀⠀⣉⣿⣿⠿⠀⠿⣿⣿
⠀⠀⠀⠀⣿⣿⠀⠀⠀⣿⣿⣤
⠀⠀⠀⣀⣿⣿⠀⠀⠀⣿⣿⣿
⠀⠀⠀⣿⣿⣿⠀⠀⠀⣿⣿⣿
⠀⠀⠀⣿⣿⠛⠀⠀⠀⠉⣿⣿
⠀⠀⠀⠉⣿⠀⠀⠀⠀⠀⠛⣿
⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣿⣿
⠀⠀⠀⠀⣛⠀⠀⠀⠀⠀⠀⠛⠿⠿⠿
⠀⠀⠀⠛⠛
⠀⠀⠀⣀⣶⣀
⠀⠀⠀⠒⣛⣭
⠀⠀⠀⣀⠿⣿⣶
⠀⣤⣿⠤⣭⣿⣿
⣤⣿⣿⣿⠛⣿⣿⠀⣀
⠀⣀⠤⣿⣿⣶⣤⣒⣛
⠉⠀⣀⣿⣿⣿⣿⣭⠉
⠀⠀⣭⣿⣿⠿⠿⣿
⠀⣶⣿⣿⠛⠀⣿⣿
⣤⣿⣿⠉⠤⣿⣿⠿
⣿⣿⠛⠀⠿⣿⣿
⣿⣿⣤⠀⣿⣿⠿
⠀⣿⣿⣶⠀⣿⣿⣶
⠀⠀⠛⣿⠀⠿⣿⣿
⠀⠀⠀⣉⣿⠀⣿⣿
⠀⠶⣶⠿⠛⠀⠉⣿
⠀⠀⠀⠀⠀⠀⣀⣿
⠀⠀⠀⠀⠀⣶⣿⠿
⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⠶⠀⠀⣀⣀
⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣶⣿⣿⣿⣿⣿⣿
⠀⠀⣀⣶⣤⣤⠿⠶⠿⠿⠿⣿⣿⣿⣉⣿⣿
⠿⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣤⣿⣿⣿⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⣶⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⠿⣛⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠛⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⠿⠀⣿⣿⣿⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⣿⠀⠀⣿⣶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠛⠀⠀⣿⣿⣶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⠤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿
⠀⠀⣀
⠀⠿⣿⣿⣀
⠀⠉⣿⣿⣀
⠀⠀⠛⣿⣭⣀⣀⣤
⠀⠀⣿⣿⣿⣿⣿⠛⠿⣶⣀
⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⣉⣶
⠀⠀⠉⣿⣿⣿⣿⣀⠀⠀⣿⠉
⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⠿
⠀⣿⣿⣿⠿⠉⣿⣿⣿⣿
⠀⣿⣿⠿⠀⠀⣿⣿⣿⣿
⣶⣿⣿⠀⠀⠀⠀⣿⣿⣿
⠛⣿⣿⣀⠀⠀⠀⣿⣿⣿⣿⣶⣀
⠀⣿⣿⠉⠀⠀⠀⠉⠉⠉⠛⠛⠿⣿⣶
⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿
⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉
⣀⣶⣿⠛
⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣿⣿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣿
⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣶⣿⣿⣿⣶⣶⣤⣶⣶⠶⠛⠉⠉
⠀⠀⠀⠀⠀⠀⣤⣿⠿⣿⣿⣿⣿⣿⠀⠀⠉⠀⠀⠀⠀⠀⠀
⠛⣿⣤⣤⣀⣤⠿⠉⠀⠉⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠉⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠛⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣛⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⠛⠿⣿⣿⣿⣶⣤⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⠛⠉⠀⠀⠀⠛⠿⣿⣿⣶⣀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣶⣤⠀⠀
⠀⠀⠀⠀⠀⠛⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⠿⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⠉⠀
⠀⠀⠀⠀⠀⠀⣤⣶⣶
⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣀⣀
⠀⠀⠀⠀⠀⣀⣶⣿⣿⣿⣿⣿⣿
⣤⣶⣀⠿⠶⣿⣿⣿⠿⣿⣿⣿⣿
⠉⠿⣿⣿⠿⠛⠉⠀⣿⣿⣿⣿⣿
⠀⠀⠉⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣤⣤
⠀⠀⠀⠀⠀⠀⠀⣤⣶⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿
⠀⠀⠀⠀⣀⣿⣿⣿⠿⠉⠀⠀⣿⣿⣿⣿
⠀⠀⠀⠀⣿⣿⠿⠉⠀⠀⠀⠀⠿⣿⣿⠛
⠀⠀⠀⠀⠛⣿⣿⣀⠀⠀⠀⠀⠀⣿⣿⣀
⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠿⣿⣿
⠀⠀⠀⠀⠀⠉⣿⣿⠀⠀⠀⠀⠀⠀⠉⣿
⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣀⣿
⠀⠀⠀⠀⠀⠀⣀⣿⣿
⠀⠀⠀⠀⠤⣿⠿⠿⠿
⠀⠀⠀⠀⣀
⠀⠀⣶⣿⠿⠀⠀⠀⣀⠀⣤⣤
⠀⣶⣿⠀⠀⠀⠀⣿⣿⣿⠛⠛⠿⣤⣀
⣶⣿⣤⣤⣤⣤⣤⣿⣿⣿⣀⣤⣶⣭⣿⣶⣀
⠉⠉⠉⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠿⠿
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠿
⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⣭⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠿
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠿
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⠛⠿⣿⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⠀⠀⠀⣿⣿⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣶⣿⠛⠉
⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⠀⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶
⠀⠀⠀⠀⠀⣀⣀⠀⣶⣿⣿⠶
⣶⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤
⠀⠉⠶⣶⣀⣿⣿⣿⣿⣿⣿⣿⠿⣿⣤⣀
⠀⠀⠀⣿⣿⠿⠉⣿⣿⣿⣿⣭⠀⠶⠿⠿
⠀⠀⠛⠛⠿⠀⠀⣿⣿⣿⣉⠿⣿⠶
⠀⠀⠀⠀⠀⣤⣶⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠒
⠀⠀⠀⠀⣀⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⣿⣿⣿⠛⣭⣭⠉
⠀⠀⠀⠀⠀⣿⣿⣭⣤⣿⠛
⠀⠀⠀⠀⠀⠛⠿⣿⣿⣿⣭
⠀⠀⠀⠀⠀⠀⠀⣿⣿⠉⠛⠿⣶⣤
⠀⠀⠀⠀⠀⠀⣀⣿⠀⠀⣶⣶⠿⠿⠿
⠀⠀⠀⠀⠀⠀⣿⠛
⠀⠀⠀⠀⠀⠀⣭⣶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⠀⠀⣶⠀⠀⣀⣤⣶⣤⣉⣿⣿⣤⣀
⠤⣤⣿⣤⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣀
⠀⠛⠿⠀⠀⠀⠀⠉⣿⣿⣿⣿⣿⠉⠛⠿⣿⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⠛⠀⠀⠀⣶⠿
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣤⠀⣿⠿
⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⠿⠉⠉
⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⠿
⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠉
⠀⠀⠀⠀⠀⠀⠀⠀⣛⣿⣭⣶⣀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠉⠛⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣉⠀⣶⠿
⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⠿
⠀⠀⠀⠀⠀⠀⠀⠛⠿⠛⠀⠀⠀
⠀⠀⠀⣶⣿⣶
⠀⠀⠀⣿⣿⣿⣀
⠀⣀⣿⣿⣿⣿⣿⣿
⣶⣿⠛⣭⣿⣿⣿⣿
⠛⠛⠛⣿⣿⣿⣿⠿
⠀⠀⠀⠀⣿⣿⣿
⠀⠀⣀⣭⣿⣿⣿⣿⣀
⠀⠤⣿⣿⣿⣿⣿⣿⠉
⠀⣿⣿⣿⣿⣿⣿⠉
⣿⣿⣿⣿⣿⣿
⣿⣿⣶⣿⣿
⠉⠛⣿⣿⣶⣤
⠀⠀⠉⠿⣿⣿⣤
⠀⠀⣀⣤⣿⣿⣿
⠀⠒⠿⠛⠉⠿⣿
⠀⠀⠀⠀⠀⣀⣿⣿
⠀⠀⠀⠀⣶⠿⠿⠛
⠀
Answer: 0.0497870 ; 0.87754
Step-by-step explanation:
Given that :
λ = 0.0003
Defining a continuous distribution function :
F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0
a. What proportion of the fans will last at least 10,000 hours?
P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870
b. What proportion of the fans will last at most 7000 hours?
P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)
1 - 0.12245642825 = 0.87754