Answer:
Two sample t test
Step-by-step explanation:
in this question We have two samples. So we have to use the two sample t test based on the fact that we have 2 sets of sample sizes and We want to arrive at the conclusion that a difference exists in the academic performance between two course section.
This explanation above goes with The purpose of the two sample t test, which is to know if the difference existing between two populations are significant statistically.
The <em>trigonometric</em> function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.
<h3>How to derive a sinusoidal expression</h3>
In this problem we need to find a <em>sinusoidal</em> expression that models the curve seen in the picture. The most typical <em>sinusoidal</em> model is described below:
f(x) = a · sin (b · x + c) + d (1)
Where:
- a - Amplitude
- b - Angular frequency
- c - Angular phase
- d - Vertical midpoint
Now we proceed to find the value of each variable:
Amplitude
a = - 2 - (-6.5)
a = 4.5
Angular frequency
b = 2π / T, where T is the period.
0.25 · T = 4 - 3
T = 4
b = 2π / 4
b = π / 2
Midpoint
d = - 6.5
Angular phase
- 2 = 4.5 · sin (π · 4/2 + c) - 6.5
4.5 = 4.5 · sin (π · 4/2 + c)
1 = sin (2π + c)
π = 2π + c
c = - π
The <em>trigonometric</em> function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.
To learn more on trigonometric functions: brainly.com/question/15706158
#SPJ1
{1,3,5,7,9} {6,7,8,9,10}
The union of these two sets is
{1,3,5,6,7,8,9,10}
There are 8 numbers here out of the 10 possible.
So the answer for this question is 8/10 or 4/5.
12.5 kilometers per liter