Median and IQR are the appropriate measure for the center and spread of the given data set. (Option B and C)
<u>Step-by-step explanation:</u>
Usually the center and spread can be measured by various means, Among them Median and Inter Quartile Range are the best known appropriate methods.
Median:
Median is the better measure of a center, since it is the middle value and it is not affected by any outliers and it is also better than the mean value to measure the center.
Inter Quartile Range (IQR):
Inter Quartile Range (IQR) is better to measure the spread, since the outliers mislead and the utmost items will show maximum standard deviation.
So to measure Spread and center, we can use the following,
- spread - IQR
- center - median
Answer:
Because 3 and 2 are vertical angles
Step-by-step explanation:
Vertical angles are always equal or congruent
212.5 miles because Gavin drives 85 miles on 10 gallons therefore 85/10=8.5 miles per gallon X 25 gallons=212.5
Answer:
Only C is a function
Step-by-step explanation:
To test whether a graph is a function you use the vertical line test.
If you can place a vertical line anywhere on the plane (in the domain of the "function" to be tested) and it intersects the curve at more than one point, the curve is not a function.
We see with A, wherever we put the vertical line it intersects twice.
With B, it intersects infinitely many times.
C is a function because wherever we put the vertical line, it only intersects once.
D is a function because it intersects twice providing we do not put it on the "tip" of the parabola.
The mathematical reasoning behind this is that a function must be well-defined, that is it must send every x-value to one specific y-value. There can be no confusion about where the function's input is going. If you look at graph B and I ask you what is f(3)? Is it 1? 2? 3? ... Who knows, it's not well-defined and so it's not a function. However if I ask you about C, whichever input value for x I give you, you can tell me to which y-value it gets mapped/sent to.
The maximum value attained by the function will be 4
4 = 4cos(2x - π)
cos(2x - π) = 1
2x - π = 0
x = (nπ)/2
From x = 0 to x = 2π, n = 1, 2, etc
The equation will yield +4 for odd values of n and -4 for even values of n
