During a middle school basketball game, every spectator placed his or her ticket stub into one of several containers. After the
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Answer:
OR
Step-by-step explanation:
Vertex form of a parabola is given as:
Where () is the vertex and
are the points on the parabola.
We are given that, the vertex is (3, -2) and another point on parabola is given as (2, 3).
First of all, putting the vertex in the vertex equation as given above:
Now, putting the values of as 2, 3 and let us find the unknown variable
:
Therefore, the equation in vertex form can be written as:
OR
<h3>The probability of student passing the quiz with at least 50% of the questions correct is 0.05457.</h3>
Step-by-step explanation:
Here, the total number of T/F question = 10
The minimum answers needed correctly answered = 8
So, student needs to answer at least 8 questions correctly.
Here, the possibility of answering a question correctly = = p = 0.5
Also, the possibility of answering a question wrong = = q = 0.5
Now, to pass he needs to answer 8 or more ( 8 , 9 or 10) answers correctly.
P(answering 8 correct answer) =
P(answering 9 correct answer) =
P(answering 10 correct answer) =
So, the total Probability = P(8) + P(9) + P(10)
= (0.0439) + (0.0097) + (0.00097)
= 0.05457
Hence, the probability that the student passes the quiz with at least 8 of the questions correct is 0.05457.