IQR = 6
First locate the median at the centre of the data arranged in ascending order. Then locate the lower and upper quartiles
and
located at the centre of the data to the left and right of the median.
Note that if any of the above are not whole values then they are the average of the values either side of the centre.
rearrange data in ascending order
15 16 ↓17 17 18 21 22 ↓23 25
↑
= 18
=
= 16.5
=
= 22.5
IQR = -
= 22.5 - 16.5 = 6
Thulani goes to both the library and the market for 5 more times during the year.
Step-by-step explanation:
Thulani goes to the library every 7 days. He goes to the market every 4 days.
We have to calculate the Least Common Multiple (LCM) to analyze the next common day on which he will go to both places.
The factors of 7 are: 1 x 7
The factors of 4 are: 2 x 2
Therefore, the LCM would be = 1 x 7 x 2 x 2
LCM = 28
LCM indicates that Thulani will go to both places on every 28th day.
To calculate the number of times (n) he will go to both places on same day. We can use the formula mentioned below:'
Here frequency represents the LCM = 28.
The number of days are:
August: 30 (we are excluding 1st August)
September: 30
October: 31
November: 30
December: 31
Total = 152
By putting the values in formula, we get
n = 5.42
As, the number of times can only be a whole number. Therefore, Thulani goes to both the library and the market for 5 more times during the year.
Learn more:
The following links have more information
Keywords: LCM, same day
#learnwithBrainly
Answer:
Step-by-step explanation:
slopes and equations:
find the equation thur ( 6,1 ) and (-2,-3)
find the slope m
m = (y2-y1) / (x2-x1 )
m = (-3 - 1) / (-2 -6)
m = -4 / -8
m = 1/2
now use the point-slope formula with our known slope
y-y1 = m(x-x1)
y-1 = 1/2(x-6)
y - 1 = 1/2x -3
y = 1/2x -3 +1
y = x -2
Find the equation parallel to y = 3x + 6 and thur (0,1)
Parallel means the same slope, the slope is 3 for the equation above.
use the slope-intercept formula again with the point given and the slope 3
y-1 = 3(x -0)
y - 1 = 3x
y = 3x +1
Find the equations perpendicular to 2x + y = 8 and the same y intercept as 4y = x + 3.
put both equations into proper form
y = -2x +6
y = x +
perpendicular means reciprocal slope and change the sign, the 2nd equation has an intercept of , so
y = 1/2x +
there you go Amanda :)