The heights, in cm, of 50 students are recorded and used to draw the cumulative frequency graph shown below.
50
40
30
Cumulative frequency
Use the graph to estimate the number of
these students with a height above 150 cm.
20
students
10
0
120
130
160
170
140 150
Height (cm)

15

Step-by-step explanation:

The number of students with height above 150cm can be deduced from the cumulative frequency graph as follows :

The sum total of the frequency distribution is 50

Obtain from the cumulative frequency axis the reading where 150 on the x - axis intersects the frequency curve ; from the graph this is 35(thia figure represents the total number of students whose height is 150 cm and below)

Hence, for students taller than 150 cm, their number will be:

Total number of students - 35

50 - 35 = 15 students

13 students

To find the estimate number, draw a line from the x, which would be the height (150) up to where it meets the line, then draw across to the y axis, the amount above that line is the number of students who are taller than 150cm

hope this helped :)

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

yes

step-by-step explanation:

yes