
Step-by-step explanation:
Since we have given that
Number of green tickets =3
Number of yellow tickets = 4
Number of purple tickets = 3
Total number of tickets = 3+4+3=10
Now,
As we know that Pedro select a ticket and replace it and then select another ticket , total number of outcomes will never change it will be 10 only for each case.
Probability that he chooses a yellow ticket and then a purple ticket is given by

f(x) = x^2 + 16x
Completing the square.
f(x) = a(x-h)^2 + k
f(x) = (x + 8)^2 - 64
h = -8, k = -64
Vertex = (h,k)
Vertex = (-8, -64)
Not fully explained, just a quick summary.
1/3 + 2/5 • 2/3
2 • 2 = 4
5 • 3 = 15
1/3 = 5/15
5/15 + 4/15 = 9/15 = 3/5
1/3 + 2/5 • 2/3 = 3/5
Answer:

Step-by-step explanation:
The distance d between a point (m , n ) and a line in the form
Ax + By + C = 0 , is calculated as
d = 
Here (m, n ) = (6, 2 ) and
6x - y = - 3 ( add 3 to both sides )
6x - y + 3 = 0 → A = 6, B = - 1, C = 3
d = 
= 
= 
=
× 
=
← cancel 37 on numerator/ denominator
= 
Answer:
A seven digit number
Step-by-step explanation:
A password made up of digits is less likely to relate to your life (harder to guess) than a five letter word.