Answer:
We want to find:
Here we can use Stirling's approximation, which says that for large values of n, we get:
Because here we are taking the limit when n tends to infinity, we can use this approximation.
Then we get.
Now we can just simplify this, so we get:
And we can rewrite it as:
The important part here is the exponent, as n tends to infinite, the exponent tends to zero.
Thus:
There are 60 players on football team that are not seniors.
Step-by-step explanation:
<u>Method 1:</u>
Given
Total students = 84
Also given that
2 out of 7 are seniors
Which is 2/7
So in order to find the total number of seniors we will multiply the whole number of students to 2/7
So there are 24 seniors on the football team.
Players that are not seniors = 84 - 24 = 60
There are 60 players who are not seniors.
<u>Method 2:</u>
We can divide the total number by 7, to get how many sets of 7 players will be there
= 84/7 = 12
Now,
Multiplying 12 with 2 will give us the number of seniors in football team.
12*2 = 24 seniors
So,
Not seniors =84-24 = 60
Keywords: Percentage, Units
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Answer:
Step-by-step explanation:
A parabola is written in the form
(1)
where:
is the x-coordinate of the vertex of the parabola
is the y-coordinate of the vertex of the parabola
is a scale factor
For the parabola in the problem, we know that the vertex has coordinates (4,-3), so we have:
(2)
From this last equation, we get that (3)
Substituting (2) and (3) into (1) we get the new expression:
(4)
We also know that the parabola contains the point (2,-1), so we can substitute
x = 2
f(x) = -1
Into eq.(4) and find the value of k:
So we also get:
So the equation of the parabola is:
(5)
Now we want to rewrite it in the standard form, i.e. in the form
To do that, we simply rewrite (5) expliciting the various terms, we find: