Answer:
2/5
Step-by-step explanation:
The probability that more than 5 students will pass their exam is 0.0188416.
<h3>How to find the probability?</h3>
The probability that a student passes their examination = 40% = 0.4
The probability that more than 5 students pass their statistics exam = Probability that 6 students pass their exam + Probability that 7 students pass their exam
The probability that 6 students pass their exam =

The probability that 7 students pass their exam =

The probability that more than 5 students pass their statistics exam = 0.0172032 + 0.0016384
= 0.0188416
Therefore, we have found the probability that more than 5 students will pass their exam to be 0.0188416.
Learn more about probability here: brainly.com/question/24756209
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Answer:
Pretty sure it would be b because it keeps scaling as the x axis continues with time
Step-by-step explanation:
If the parabola has the form
(vertex form)
then its vertex is located at the point (h, k). Therefore, the vertex of the parabola

is located at the point (8, 6).
To find the length of the parabola's latus rectum, we need to find its focal length <em>f</em>. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is

where
is called the focal length or distance of the focus from the vertex. So from our equation, we can see that the focal length <em>f</em> is

By definition, the length of the latus rectum is four times the focal length so therefore, its value is

Answer:
Call the number we need to find a.
Inequality: (12 + a) ÷ 2 < 27
<=> 12 + a < 54
<=> a < 54 - 12
<=> a < 42