Answer:
-1/5
Step-by-step explanation:
Slope of the line = (y2-y1)/(x2-x1)
(2-(-8)/(5-3)
10/2 = 5
Perpendicular line = the slope is opposite of the reciprocal
-1/5
Answer: option D: 11/12
Explanation:
1) The sample space is formed by 36 pairs: 6×6 = 36.
2) Roolling 4 or more is the same that not rolling 3 or less
3) Rolling 3 or less are (1,1), (1,2), and (2,1). Those are 3 outcomes out of 36.
4) Therefore, not rolling 3 or less (the same that rolling 4 or more) has 36 - 3 = 33 outcomes out of 36.
5) The probability of 33 out of 36 is 33/36
6) Simplify the fraction 33/36 = 11/12
And that is the answer.
Answer:
B and C
Step-by-step explanation:
Answer: 0.003757(approx).
Step-by-step explanation:
Total number of combinations of selecting r things out of n things is given by:-

Total cards in a deck = 52
Total number of ways of choosing 8 cards out of 52 = 
Total number of ways to choose 5 clubs and 3 cards with one of each remaining suit =
[since 1 suit has 13 cards]
The required probability = 

Hence, the required probability is 0.003757 (approx).
Answer:
m = 6 7/8 or 55/8.
Step-by-step explanation:
6= m - 7/8
6 + 7/8 = m - 7/8 + 7/8
m = 6 7/8 or 55/8.