Step-by-step explanation:
1. P(light OR domestic) = P(light) + P(domestic) − P(light AND domestic)
P(light OR domestic) = 0.62 + 0.70 − 0.55
P(light OR domestic) = 0.77
2. P(light AND not domestic) = P(light) − P(light AND domestic)
P(light AND not domestic) = 0.62 − 0.55
P(light AND not domestic) = 0.07
3. P(light GIVEN not domestic) = P(light AND not domestic) / P(not domestic)
P(light GIVEN not domestic) = 0.07 / (1 − 0.70)
P(light GIVEN not domestic) = 0.233
4. Two events are independent if P(A) × P(B) = P(A and B).
P(light) × P(domestic) = 0.62 × 0.70 = 0.434
P(light AND domestic) = 0.55
Therefore, the type and location are not independent.
Answer:
B.
Step-by-step explanation:
Perpendicular lines always intercept at a right angle (90 degrees).
Answer:
Coordinates of Q 
Option D is correct option.
Step-by-step explanation:
We are given:
K is the midpoint of PQ
Coordinates of P = (-9,-4)
Coordinates of K = (-1,6)
We need to find coordinates of Q 
We will use the formula of midpoint: 
We are given midpoint K and 
the coordinates of P we need to find 
the coordinates of Q.
Now, we can write
So, we get coordinates of Q
Option D is correct option.
Answer:the cost of one child's ticket is $6
the cost of one adult ticket is $9
Step-by-step explanation:
Let x represent the cost of one child's ticket
Let y represent the cost of one adult ticket.
Tickets for a minor league baseball game for an adult and two children cost a total of $21. This means that
2x + y = 21 - - - - - - - - - - 1
The adult ticket is three dollars more than a child's ticket. This means that
y = x + 3
Substituting y = x + 3 into equation 1, it becomes
2x + x + 3 = 21
3x + 3 = 21
3x = 21 - 3 = 18
x = 18/3 = 6
y = x + 3 = 6 + 3
y = 9
