Answer:
C
Step-by-step explanation:
using the cosine ratio to find p
cos 45° = 
= 
cross- multiplying gives
p × cos45° = 6 → [ cos 45° = 
]
p × = 6
multiply both sides by 
⇒ p = 6 ( third option on list )
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
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Answer:
14
20
18
24
Step-by-step explanation:
36 = 6 x 6
16 = 4 x 4
25 = 5 x 5
All others are not square
