Find the measures of
1 answer:
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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 :-
Answer:
[Vertex form]
Step-by-step explanation:
Given function:
We need to find the vertex form which is.,
where represents the co-ordinates of vertex.
We apply completing square method to do so.
We have
First of all we make sure that the leading co-efficient is =1.
In order to make the leading co-efficient is =1, we multiply each term with -3.
Isolating and
terms on one side.
Subtracting both sides by 15.
In order to make the right side a perfect square trinomial, we will take half of the co-efficient of term, square it and add it both sides side.
square of half of the co-efficient of term =
Adding 36 to both sides.
Since is a perfect square of
, so, we can write as:
Subtracting 21 to both sides:
Dividing both sides by -3.
[Vertex form]