Answer:
The answer to your question is: 5 bottles
Step-by-step explanation:
Process
First week
Divide 24 by 8
24/8 = 3 bottles = 1/8
but Sanjay drank 3/8 = 9 bottles
And there are 24 - 9 bottles left = 15
- Second week
Divide 15 by 3
15/3 = 5 then 5 bottles = 1/3
but sanjay drank 2/3 = 10 bottles
Then, there are 15 - 10 bottles left = 5
The answer, is 2 1/9. subtract 1 7/7 from 3 1/2, and you'll get 2 1/2
(hope this helps)
Answer:
Step-by-step explanation:
Previous concepts
The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.
The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).
Solution to the problem
Since the warranty on a machine specifies that it will be replaced at failure or age 4 and the distribution for X is defined between 0 and 5 then if we define the random variable Y ="the age of the machine at the time of replacement" we know that the values for Y needs to be between 0 and 4 or between 4 and and we can define the following density function:
for other case
Now we can apply the definition of expected value and we have this:
And for the second moment we have:
And the variance would be given by:
Answer:8.75%
Step-by-step explanation: just divide and you get 0.875 which converts to 8.75%