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! :)
Answer:
Jonah needs 2 more napkins to complete one more table.
Step-by-step explanation:
In Jonah’s restaurant, each table seats 4 people.
In total Jonah has 78 napkins to place at the tables.
So the total number of napkins must be a multiple of 4.
But unfortunately 78 is not a multiple of 4. It leaves a remainder of 2 while divided by 4.
So, the number which is 2 more than 78 will be a multiple of 4 and will complete the set of tables i.e 80
Therefore, Jonah needs 2 more napkins to complete one more table.
Answer:
The answer is D
Step-by-step explanation:
(b)
(c)
(d)
The correct simplification will be: (b) ab²
Here we will use the property of exponents for division of two exponential terms with same bases. The original property is :
It means if the bases are same , then we will just subtract the exponents while dividing two terms.
Using this property:
and
So,
Answer:
a^5 - a^4 = a1 or a
b^6 - b^4 = b2
put them together and you get ab^2
I also took the test and got it right