Answer:
The number of 3 million 3,000,000.
R = 2m + 10, r is rita m is milan
The maximum and minimum percent of students who write their notes with a pencil are 22% and 25%, respectively
<h3>Survey</h3>
The survey results given as:
--- the proportion of students reported that they wrote their notes with a pencil
![Accuracy = 3\%](https://tex.z-dn.net/?f=Accuracy%20%3D%203%5C%25)
<h3>Range</h3>
The range is then calculated as:
![Range = Pencil \pm Accuracy](https://tex.z-dn.net/?f=Range%20%3D%20Pencil%20%5Cpm%20Accuracy)
<h3>Minimum</h3>
So, we have:
![Minimum = Pencil - Accuracy](https://tex.z-dn.net/?f=Minimum%20%3D%20Pencil%20-%20Accuracy)
This gives
![Minimum = 25\% - 3\%](https://tex.z-dn.net/?f=Minimum%20%3D%2025%5C%25%20-%203%5C%25)
![Minimum = 22\%](https://tex.z-dn.net/?f=Minimum%20%3D%2022%5C%25)
<h3>Maximum</h3>
Also, we have:
![Maximum = Pencil + Accuracy](https://tex.z-dn.net/?f=Maximum%20%3D%20Pencil%20%2B%20Accuracy)
This gives
![Maximum = 25\%+ 3\%](https://tex.z-dn.net/?f=Maximum%20%3D%2025%5C%25%2B%203%5C%25)
![Maximum = 28\%](https://tex.z-dn.net/?f=Maximum%20%3D%2028%5C%25)
Hence, the maximum and minimum percent of students who write their notes with a pencil are 22% and 25%, respectively
Read more about range at:
brainly.com/question/17025675
The function <em>position</em> of the particle is s(t) = (1 / 12) · t⁴ + (7 / 6) · t³ + 3 · t² + (63 / 4) · t.
<h3>What are the parametric equations for the motion of a particle?</h3>
By mechanical physics we know that the function <em>velocity</em> is the integral of function <em>acceleration</em> and the function <em>position</em> is the integral of function <em>velocity</em>. Hence, we need to integrate twice to obtain the function <em>position</em> of the particle:
Velocity
v(t) = ∫ t² dt - 7 ∫ t dt + 6 ∫ dt
v(t) = (1 / 3) · t³ - (7 / 2) · t² + 6 · t + C₁
Position
s(t) = (1 / 3) ∫ t³ dt - (7 / 2) ∫ t² dt + 6 ∫ t dt + C₁ ∫ dt
s(t) = (1 / 12) · t⁴ + (7 / 6) · t³ + 3 · t² + C₁ · t + C₂
Now we find the values of the <em>integration</em> constants by solving the following system of <em>linear</em> equations:
0 = C₂
63 / 4 = C₁ + C₂
The solution of the system is C₁ = 63 / 4 and C₂ = 0. The function <em>position</em> of the particle is s(t) = (1 / 12) · t⁴ + (7 / 6) · t³ + 3 · t² + (63 / 4) · t.
To learn more on parametric equations: brainly.com/question/9056657
#SPJ1