X=time of the third person it would take to fill the pool
We can suggest this equation:
6[(1/20) + (1/15) +(1/x)]=1
6[(3x+4x+60)/60x]=1
(7x+60)/10x=1
7x+60=10x
7x-10x=-60
-3x=-60
x=-60/-3
x=20
Answer: the third person alone would fill the pool in 20 hours .
Answer:
w = 26
Step-by-step explanation:
set up an equation; since this is a right angle, it equals 90 degrees
90 = w + 12 + 2w
90 - 12 = w + 2w
78 = 3w
78/3
w = 26
Answer:
3rd Option: 1
Step-by-step explanation:
Step 1: Define
(x + 4)/3x
x = 2
Step 2: Substitute and Evaluate
(2 + 4)/3(2)
6/6
1
Answer: 0.1353
Step-by-step explanation:
Given : The mean of failures = 0.025 per hour.
Then for 8 hours , the mean of failures =
per eight hours.
Let X be the number of failures.
The formula to calculate the Poisson distribution is given by :_

Now, the probability that the instrument does not fail in an 8-hour shift :-

Hence, the the probability that the instrument does not fail in an 8-hour shift = 0.1353