The result of rolling a number cube 7 times is a 7-digit number composed of digits 1,2,3,4,5 and 6 so that digits can repeat. The total number of possibilities is 6^7.
The number of possibilities where 4 appears exactly two times is 5^5*(7!-6!/2).
5^5 is the number of 5-digits numbers composed of digits 1,2,3,5 and 6 so that digits can repeat.
7! is the number of permutations of digits 1,2,3,4,4,5 and 6.
6! is the number of permutations of digits 1,2,3,{4,4},5 and 6.
We don't want to subtract all numbers where digits 4 appear side by side. That's why we must divide 6! by 2.
Finally, the probability is P=5^5(7!-6!/2)/7^7
120 students voted for Jennifer and 180 students voted for Kevin. 60 students voted more for Kevin than for Jennifer.
Answer:
The slope formed using points (4,6) and (8,0) is 
Step-by-step explanation:
Given as :
The points are (4,6) and (8,0)
(
, 
) = (4,6)
(
, 
) = (8,0)
Let The slope that formed = m
So,
slope = m = 
m = 
Or, m = 
∴ m =
So, The slope formed using points = m =
Hence , The slope formed using points (4,6) and (8,0) is Answer
This diagram shows how 2/7 = 8/28 by showing that you can color in more squares or duplicate that amount of squares 4 times in order to get 8/28. (Since 2/7 x 4/4 = 8/28.)
