Option A: The vessel has sailed 34 miles South
Explanation:
Given that the vessel sails 41 miles S 35° E.
We need to determine the how far south the vessel has sailed.
Let us use the Pythagorean theorem to find the distance of the vessel has sailed.
Thus, we have,
Substituting ,
and
Hence, we get,
Simplifying, we have,
Multiplying both sides by 41, we have,
Rounding off to the nearest integer, we have,
Thus, the vessel has sailed 34 miles South.
Therefore, Option B is the correct answer.
Answer: The probability that both televisions work is 0.5625 .
The probability at least one of the two televisions does not work is 0.4375.
Step-by-step explanation:
Given : Number of televisions received in shipment= 12
Number of defective televisions received in shipment= 3
Then proportion of defective televisions =
Using binomial probability formula, the probability of getting success in x trials is given by :-
If two televisions are randomly selected, then the probability that both televisions work will be :-
The probability at least one of the two televisions does not work will be :-