Answer:
Step-by-step explanation:
d^2=(x2-x1)^2+(y2-y1)^2
d^2=(6-8)^2+(4+5)^2
d^2=4+81
d^2=85
d=(85)^(1/2)
d=9.22 (rounded to nearest hundredth)
Answer:
Recursive
a(1) = 9 ; a(n+1) = 3 * a(n)
Explicit
a(n) = 9 * 3^(n-1)
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
Whats that kinda question
