Answer:
5/12
Step-by-step explanation:
Given that,
Total no of cards = 12 with numbers 1 to 12
We need to find the probability of getting 5.
Probability = favourable outcomes/total no of outcomes
Favourable outcomes is 5 as it come one time
Total no of outcome = 12 (total no of cards)
So,

Hence, the probability of getting 5 is 5/12.
Answer:
B
Step-by-step explanation:
Two events A and B are called independent, when

where
is the probability that B occurs given that A has already occurred.
A = randomly selected person is a student
B = randomly selected person prefer "Vikings"
B|A = randomly selected student prefer "Vikings"
Probabilities:

Since

we can state that events are not independent.
I believe the answer is A.
Answer:
1. I have simplified the first question:

2. I have found the parabola properties:

Answer: x=5 or x=−13
Step-by-step explanation:
8x−65=−x2
8x−65−(−x2)=−x2−(−x2)
x2+8x−65=0
(x−5)(x+13)=0
x−5=0 or x+13=0
x=5 or x=−13