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.

E^(∞): This is defined as 'e' being raised to a huge value. Hence the result will definitely be a large number which is also infinity (∞), i.e. e^(∞) = ∞.
e^(- ∞) = 1/e^(∞) = 1/∞ = 0.
Answer:
x = 5/2 & x = 1/3
Step-by-step explanation:
Create two equations and solve
1) 2x-5 = 0 & 2) 3x-1 = 0
1) 2x = 5
x = 5/2
2) 3x = 1
x = 1/3
You create two equations as you want the left hand side (LHS) to equal 0 (RHS), thus if one of the brackets becomes 0 it will result in the whole LHS beocming 0 as the brackets are being multiplied (anything multiplied by 0 = 0)
Answer:
Step-by-step explanation:
4ox-16=4[10x-4]this is because 4 is the common factor in both 40and 16
16x-24x-4±12=4[4x-6x-1±3]
-8x-8=8[-1-1]