Answer:
And using the cdf we got:
Step-by-step explanation:
Previous concepts
The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:
And 0 for other case. Let X the random variable that represent the random variable of interest and we know that the distribution is given by:
We know the variance on this case given by :
So then the deviation is given by:
And if we solve for 
we got:
The cumulative distribution function for the exponential distribution is given by:
Solution to the problem
And for this case we want to find this probability:
And using the cdf we got:
7 1/5:
Multiply the denominator and the whole number: 7*5 = 35 and then add the numerator: 35+1= 36/5. Then, do this for the following fraction, the improper fraction value of 2 2/15 is 32/15.
Now we need 36/5 & 32/15 to have common denominators so that we can simplify it a little less complicated.
For Instance,
36/5*3= 108/15
Now we divide, (108/15)/(32/15)
108/32= 3.375 = 3 3/8
Answer is 3 3/8.
Hope this was easy to understand!
Answer:
√ 18 = 3 √2
Step-by-step explanation:
So 24-6 is 18 and then the square root of that. You have to divide by a perfect square and the largest perfect square that can go into 18 is nine because 3x3. 9 can go into 18 2 times so it is 2 radical 9
Answer:
Step-by-step explanation:
1 sandwich is 6.25 (because 31.25/5)
2 sandwiches is 12.5
3 sandwiches are 18.75
4 sandwiches are 25
5 sandwiches are 31.25
6 sandwiches are 37.5
Amy - 8s + 12
8(6.25) +12 = 62
Amy paid $62.
Bob - 8(s + 2)
8(6.25 + 2) = 66
Bob pays $66.
Cathy - 4(2s + 3)
4(2 x 6.25 + 3) = 62
Cathy paid $62.
-5t2 + 40t = 0
5t(-t+ 8) = 0
5t = 0 or t = 8
