Answer:
The best way to know weather the formula y=x⁴-4x³+3x² is growing or not, is by graphing it.
As you can see in the attached picture:
- For -inf<x< 0 the graph decreases.
- For 0<x<0.634 the graph is growing
- For 0,634<x<2.366 the graph decreases
- For 2.366<x<+inf the graph is growing.
Therefore, the polynomial grows in the intervals stated before.
Answer:
a) A student travelling to school on public transport: 15/52 or 0.231
b) A student walking to school: 16/52 or 0.308
c) A student not cycling to school: 43/52 or 0.827
Step-by-step explanation:
Total people = 52
Travel Method Frequency
Public Transport 12
Car 15
Cycle 9
Walk 16
Find the relative frequency of.
The formula used will be: ![Relative\:Frequency=\frac{Given\: Frequency}{Size\: of\: sample \:space}](https://tex.z-dn.net/?f=Relative%5C%3AFrequency%3D%5Cfrac%7BGiven%5C%3A%20Frequency%7D%7BSize%5C%3A%20of%5C%3A%20sample%20%5C%3Aspace%7D)
a) A student travelling to school on public transport:
Given Frequency: 12
Size of sample space: 52
Apply formula: ![Relative\:Frequency=\frac{Given\: Frequency}{Size\: of\: sample \:space}](https://tex.z-dn.net/?f=Relative%5C%3AFrequency%3D%5Cfrac%7BGiven%5C%3A%20Frequency%7D%7BSize%5C%3A%20of%5C%3A%20sample%20%5C%3Aspace%7D)
Fraction = 12/52
Decimal = 0.231
b) A student walking to school
Given Frequency: 16
Size of sample space. 52
Apply formula: ![Relative\:Frequency=\frac{Given\: Frequency}{Size\: of\: sample \:space}](https://tex.z-dn.net/?f=Relative%5C%3AFrequency%3D%5Cfrac%7BGiven%5C%3A%20Frequency%7D%7BSize%5C%3A%20of%5C%3A%20sample%20%5C%3Aspace%7D)
Fraction = 16/52
Decimal = 0.308
c) A student not cycling to school.
We will consider all students except those who cycle.
12+15+16 = 43
Given Frequency: 43
Size of sample space. 52
Apply formula: ![Relative\:Frequency=\frac{Given\: Frequency}{Size\: of\: sample \:space}](https://tex.z-dn.net/?f=Relative%5C%3AFrequency%3D%5Cfrac%7BGiven%5C%3A%20Frequency%7D%7BSize%5C%3A%20of%5C%3A%20sample%20%5C%3Aspace%7D)
Fraction = 43/52
Decimal = 0.827
Okie I'll follow U Sarangheo