Option D:
k = –2
Solution:
Let y = f(x).
<u>Direct variation:</u>
A relationship between two variables in which one is a constant multiple of the other.
<em>y varies constantly means that y = kx.</em>
The constant .
Substitute x = –1 and y = 2 from the table.
Substitute x = 2 and y = –4 from the table.
Substitute x = 5 and y = –10 from the table.
Therefore k = –2.
Option D is the correct answer.
One decimeter equals 10 centimeters. So 3 decimeters equals 30 centimeters. They are equal.
The answers are 0 and 2
This can be found by looking at the x axis and finding every point where the line crosses
Answer:
The test to be used is <em>paired t-test</em>.
Step-by-step explanation:
The dependent <em>t</em>-test (also known as the paired t-test or paired-samples t-test) compares the two means of associated groups to conclude if there is a statistically significant difference between the two means.
We use the paired <em>t</em>-test if we have two measurements on the same item, person or thing. We should also use this test if we have two items that are being measured with a unique condition.
For instance, an experimenter tests the effect of a medicine on a group of patients before and after giving the doses.
The assumptions made to perform a paired <em>t</em>-test are:
- The data are not discreet
.
- The data i.e., the difference, follows a normal distribution
.
- Each individual from the whole population has a same possibility of being selected.
In this case, a random sample of 30 students were selected.
Each student was asked to memorize two different lists of 20 words within 10 minutes, once with music and once without music.
The mean difference in the number of words recalled in both the sets (1: with music, 2: without music) was recorded.
The experiment performed was a matched pair experiment and a paired <em>t</em>-test would be used to perform the analysis to determine whether listening to music while studying hinder students’ learning.
In general, in polar coordinates (r, ω) = (-r, ω+π), because when you add π radians to an angle you are turning 180 degrees and then need to change the sign of the radius to preserve the original point.
Then (-5, π/4) = (5 , π/4 + π) = (5, 5π/4)
Answer: (5, 5π/4)