Answer:
0.134 = 13.4% probability that a message is spam, given that it contains the word "text" (or "txt")
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Contains the word "text", or "txt".
Event B: Spam message.
The word "text" (or "txt") is contained in of all messages, and in of all spam messages.
This means that 
747 of the 5574 total messages () are identified as spam. The word "text" (or "txt") is contained in all of them. So

Then

0.134 = 13.4% probability that a message is spam, given that it contains the word "text" (or "txt")
If we want to get B by itself, we need to "undo" every operation being done to it. Those operations are (in order):
- Multiplication by A
- Addition with 3C
To undo these then, we'll need to:
And, since this is an equation, we'll need to do both of those to the right side as well to keep everything equal. Here we go:
AB + 3C - 3C = D - 3C (subtracting 3C)
AB/A = (D - 3C)/A (dividing by A)
B = (D - 3C)/A
And we're done! If you'd like to see it formatted a little nicer, here's this:

Answer:
DEF = 14.5
DEG = 8.5
Step-by-step explanation:
(7x+4) + (5x+1) = 23
12x+5 = 23
x= 1.5
DEF = 14.5
DEG = 8.5
Answer:
Step-by-step explanation:
ppleasepplease share the answers when got them
Answer:
186.73 x (-0.0175) = −3.267775