+0  
 
0
706
2
avatar

This is the problem. e=2.71828

reliability(t)= e-(1/4000)(10/60

                = e-(1/24000)

                = 0.9999584

now according to the problem description the 4000 is the hours and the 10 is minutes. So the first part of the equation is solved like this 4000/1=4000 and 60/10=6 then you do 4000*6 to get 24000 which would make it turn into (1/24000). So I do understand how they got that number what I don't understand is how e-(1/24000) makes 0.9999584. Does anyone know how they got this number?

 Jan 26, 2015

Best Answer 

 #1
avatar+33665 
+10

e is the number

$${\mathtt{e}} = {\mathtt{2.718\: \!281\: \!828\: \!459\: \!045\: \!2}}$$ ... except that it goes on forever.

 

If you raise this number to the power of -1/24000 you get:

$${{\mathtt{e}}}^{{\mathtt{\,-\,}}\left({\frac{{\mathtt{1}}}{{\mathtt{24\,000}}}}\right)} = {\mathtt{0.999\: \!958\: \!334\: \!201\: \!376\: \!8}}$$ ... which also goes on forever!

.

 Jan 26, 2015
 #1
avatar+33665 
+10
Best Answer

e is the number

$${\mathtt{e}} = {\mathtt{2.718\: \!281\: \!828\: \!459\: \!045\: \!2}}$$ ... except that it goes on forever.

 

If you raise this number to the power of -1/24000 you get:

$${{\mathtt{e}}}^{{\mathtt{\,-\,}}\left({\frac{{\mathtt{1}}}{{\mathtt{24\,000}}}}\right)} = {\mathtt{0.999\: \!958\: \!334\: \!201\: \!376\: \!8}}$$ ... which also goes on forever!

.

Alan Jan 26, 2015
 #2
avatar+130536 
+5

Let me add something to Alan's answer.....

Note that  -1/24000 is very close to 0

And e^0  = 1

So

e^(-1/24000)  should be close to 1  ..   !!!   (and, as Alan showed...it is  !!!)

 

 Jan 26, 2015

0 Online Users