Hi there!
• Greatest Common Factor :-
GCF is th' greatest factor that divides two numbers.
To find the GCF of two numbers :-
→ List the prime factors of each number.
→ Multiply those factors both numbers have in common.
Accr'ding to the question :-
5n⁴ = 5 × n × n × n × n × 1
6w³ = 2 × 3 × w × w × w × 1
Greatest Common Factor [ 5n⁴, 6w³ ] = 1
~ Hope it helps!
Converting angle measure of 55.45 to DMS notation we get 55 degrees 27 minutes 0 seconds
Step-by-step explanation:
We need to convert angle measure of 55.45 to DMS notation
DMS notation is Degree Minute and seconds
Solving:
We have 55.45, the value before decimal is considered as degrees and values after decimal can be minutes and seconds.
We can write it as 55 and 0.45
So, we have 55 degrees
To find minutes we will multiply 0.45 by 60
0.45*60 = 27 minutes
Since we have no decimal value in minutes so seconds will be 0
So, DMS will be 55 degrees 27 minutes 0 seconds
Hence converting angle measure of 55.45 to DMS notation we get 55 degrees 27 minutes 0 seconds
replace the values for the letters than follow order of operations:
8(5) - 4/3 + 6 =
40-1 1/3 +6
38.67+6 = 44 2/3
Answer: The correct option is (1) Dependent.
Step-by-step explanation: For two events, we are given the following values of the probabilities :
P(A ∩ B) = 0.20, P(A) = 0.49 and P(B) = 0.41.
We are to check whether the events A and B are independent or dependent.
We know that
the two events C and D are said to be independent if the probabilities of their intersection is equal to the product of their probabilities.
That is, P(C ∩ D) = P(C) × P(D).
For the given two events A and B, we have

Therefore, the probabilities of the intersection of two events A and B is NOT equal to the product of the probabilities of the two events.
Thus, the events A and B are NOT independent. They are dependent events.
Option (1) is CORRECT.