Answer: The probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .
Step-by-step explanation:
The cumulative distribution function for exponential distribution is :-
, where
is the mean of the distribution.
As per given , we have
Average tread-life of a certain brand of tire : ![\lambda=\text{42,000 miles }](https://tex.z-dn.net/?f=%5Clambda%3D%5Ctext%7B42%2C000%20miles%20%7D)
Now , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles will be :
![P(X\leq 65000)=1-e^{\frac{-65000}{42000}}\\\\=1-e^{-1.54761}\\\\=1-0.212755853158\\\\=0.787244146842\approx0.7872](https://tex.z-dn.net/?f=P%28X%5Cleq%2065000%29%3D1-e%5E%7B%5Cfrac%7B-65000%7D%7B42000%7D%7D%5C%5C%5C%5C%3D1-e%5E%7B-1.54761%7D%5C%5C%5C%5C%3D1-0.212755853158%5C%5C%5C%5C%3D0.787244146842%5Capprox0.7872)
Hence , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .
Answer:
There are 4 weeks in a month and 40 working hours in a week
Since the $8.60 per hour, the gross monthly salary for your new position = 8.60*40*4 = $1,376
Your gross monthly salary at present job = $1,560
So the additional amount that you need to earn at your new position = 1,560-1,376 = $184
The hourly wage for addtional hours more than 40 hours at the new position = 1 1/2 * 8.60 = 1.5*8.60 = $12.90
So, number of hours that you need to work extra = 184/12.90 = 14.26 hours per month
So, number of hours that you need to work extra per week = 14.26/4 = 3.566 hours or 3.57 hours (Rounded to 2 decimals)
Step-by-step explanation:
There were 72 more maple trees before the bug problem then after because there was 108 maple trees before the bug problem and 36 maple trees after the bug problem
Answer:
-2n - 12
Step-by-step explanation:
Combine like terms. Note that each term has one variable (n). Also note that one negative sign and one positive sign results in a negative sign.
-6n + (-12) + 4n = -6n + 4n - 12 = -2n - 12
-2n - 12 is your answer
~
Answer:
B. 50.2ft^2
Step-by-step explanation:
π r^2
=3.14×(8/2)^2
=3.14×16
=> 50.2 ft^2
hope it helps..
have a great day!!