Answer:
0.0656
Step-by-step explanation:
For each message, we have these following probabilities:
90% probability it is spam.
10% probability it is legitimate.
Compute the probability that the first legitimate e-mail she finds is the fifth message she checks:
The first four all spam, each with a 90% probability.
The fifth legitimate, with a 10% probability.



When

, you're left with

When

or

, you're left with

Adding the two equations together gives

, or

. Subtracting them gives

,

.
Now, you have



By just examining the leading and lagging (first and last) terms that would be obtained by expanding the right side, and matching these with the terms on the left side, you would see that

and

. These alone tell you that you must have

and

.
So the partial fraction decomposition is
Answer: 16%
Step-by-step explanation:
$25 - $21 = $4
Percentage = 100[discount / (original price)] % = 100($4 / $25) % = 16%
Answer:
109.56
Step-by-step explanation:
bodmas
yeah
ahaha
V= 3.14r^2h
10/2= r
5^2= 25
(3.14)(25)(6)
V=471