Answer:
0.5
Step-by-step explanation:
Let D be the event of selecting a marble with dots.
Let P be the event of selecting a purple marble.
The probability of selecting a marble with dots, P(D)=0.2
The probability of selecting a marble that is both purple and has dots, 
We want to determine the probability of selecting a purple marble given that the marble has dots on it, P(P|D)
By the definition of conditional probability:

The probability of selecting a purple marble given that the marble has dots on it is 0.5.
If you have instagram dm me and ill show you how to make the graph my instagram is ____ella.grace____ 4 underscores btw
So to solve this you need to reverse factor this problem
x^2 + 8x + 7 = 0
The common formula is this for factoring ax^2 + bx + c
Now you have to think what multplties to "c" and adds up to "b".
So in this case it's 7 x 1 = 7 and 7 + 1 = 8
So you set it up like this
(x + 7)(x + 1) = 0
So now you can check the factors by multiplying them together and see if it gets your original equation which is does.
So finally to get the answers you need to set each parenthesis to 0 and solve for x.
x + 7 = 0
x + 1 = 0
and we get x = -1 and - 7
You can also plug these two answers back into your original equation to see if it equals 0.
If you have any questions please feel free to comment
Answer:
0
Step-by-step explanation:
m = 21, n = 12
so we just plug these into the equation
(1/3)(21) -1 -(1/2)(12)
(21/3) -1 -(12/2)
7 -1 -6
6 -6
0
I 2 x - 3 I + 5 = 4
Isolate absolute :
I 2 x - 3 I = 4 - 5
I 2 x - 3 I = -1
Absolutes cannot be negative
No solution for x ∈ R
hope this helps!