The solution for the given expression will be 10√6.
In mathematics, an expression is a combination of numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. It represents a mathematical computation or relationship.
An expression can consist of constants, variables, and operators. Constants are fixed numerical values, like 5 or 3.14. Variables, on the other hand, are symbols that represent unknown or changing values, such as x or y.
To solve this problem you use the property:
√ab = (√a)(√b)
The expression will be solved as below,
√600 = (√6)(√100) = √6(10) = 10√6
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Answer:
( 2/9 )
Step-by-step explanation:
Okay, so since the events A and B are independent, the probability that both of them do not occur is the product of their individual probabilities of not occurring.
The probability of event A not occurring, denoted as ( P(A') ), is equal to 1 minus the probability of A occurring. Similarly, the probability of event B not occurring, denoted as ( P(B') ), is equal to 1 minus the probability of B occurring.
So, ( P(A') = 1 - P(A) = 1 - 1/3 = 2/3 ) and ( P(B') = 1 - P(B) = 1 - 2/3 = 1/3 ).
Since A and B are independent, the probability that both A and B do not occur is simply the product of their individual probabilities of not occurring:
[ P(N = 0) = P(A' cap B') = P(A')P(B') = (2/3) times (1/3) = 2/9 ]
So, the probability that no events occur is ( 2/9 ).
Hope this helps! :)