Answer:
0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
In which 
is the decay parameter.
The probability that x is lower or equal to a is given by:
Which has the following solution:
The probability of finding a value higher than x is:
The mean time for the component failure is 2500 hours.
This means that 
What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?
The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).
0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations
Answer:
30 grams
Step-by-step explanation:
half life is 60 days so every 60 days the amount 480 grams will be half
in 240 days will decay 240 /60 = 4 times
once 480 /2 = 240
twice 240 /2 = 120
trice 120 / 2 = 60
four times 60/2 = 30 grams will be left
Fraction form: x=7/12
Steps:
64^4x-3
2^6(4x-3)=2^-4
6(4x-3)=-4
4x-3=-2/3
4x=7/3
X=7/12
Step-by-step explanation:
Both are translations,
1.) Translation of (5,7)
2.) Translation of (8, -3)
Answer:
There will be 9897.47€ in the account.
La cantidad será de 9897.47€.
Step-by-step explanation:
Future value with annuity:
The future value formula, for an annuity, is:
An annuity means that a number of payments happen during the period(an year, for example.
P is the value of the deposit, r is the interest rate, as a decimal, and n is the number of deposits.
In this question:
1000 € each year, so 
Interest rate of 6%, so 
One application per year for 8 years, so 
Total amount:
There will be 9897.47€ in the account.
La cantidad será de 9897.47€.
