Answer:
Cos(2115°) =1/√2
Sin(2115°) = -1/√2
Step-by-step explanation:
We have to find the values of Cos (2115°) and Sin (2115°).
Now, 2115° can be written as (23×90°+ 45°).
Therefore, the angle 2115° lies in the 4th quadrant where Cos values are positive and Sin values are negative.
Hence, Cos (2115°) = Cos(23×90° +45°) =Sin 45° {Since 23 is an odd number, so the CosФ sign will be changed to SinФ} =1/√2 (Answer)
Again, Sin (2115°) = Sin(23×90° +45°) = -Cos 45° {Since 23 is an odd number, so the SinФ sign will be changed to CosФ} = -1/√2 (Answer)
Now, the required reference angle is 45°. (Answer)
Just list the factors of 24. Those are the possible numbers of students that can be in each row.
1,2,3,4,6,8,12,24 are the possible row sizes.
Answer:
Line D
Step-by-step explanation:
- The line of best fit should be the one where majority of the points in the scatterplot lay near it
- Line D is the line of best fit for this scatter plot
Answer: The median, because the data distribution is skewed to the left
EXPLANATION
Given the box plot with the following parameters:
Minimum value at 11
First Quartile, Q1 at 22.5
Median at 34.5
Third Quartile, Q3 at 36
Maximum value at 37.5
First, we notice that the data distribution is skewed to the left because the median (34.5) is closer to the third quartile (36) than to the first quartile
(22.5).
Furthermore, we know that the mean provides a better description of the center when the data distribution is symmetrical while the median provides a better description of the center when the data distribution is skewed.
Therefore, we conclude that for the given box plot, the median will provide a better description of the center because the data distribution is skewed to the left.
