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
Hey there!
Do PEMDAS
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
15 + 2(2 * 4) - 4^2
= 15 + 2(8) - 4^2
= 15 + 16 - 4^2
= 31 - 4^2
= 31 - 4 * 4
= 31 - 16
= 15
Therefore, your answer is: 15
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
Step-by-step explanation:
Answer:
23 gallons per minute
Step-by-step explanation:
The Volume of Water = 1380 gallons
Time = 1 hour
Since we want to determine the rate at which the water is flowing out of the pipe in gallons per minute, we convert our time from hour to minutes.
1 hour = 60 Minutes
Rate= Volume ÷ Time
= 1380 ÷ 60
=23 gallons per minute
The water is flowing out of the pipe at a rate of 23 gallons per minute.
