Answer:
2x + 3y ≥ 5
Step-by-step explanation:
See the graph attached.
The bold straight line passes through the points (1,1) and (4,-1).
Therefore, the equation of the straight line will be
⇒ 3(y + 1) = - 2(x - 4)
⇒ 3y + 3 = - 2x + 8
⇒ 2x + 3y = 5 ............. (1)
Now, the shaded region i.e. the solution to the inequality does not include the origin(0,0).
So, putting x = 0 and y = 0 in the equation (1) we get, 0 < 5
Therefore, the inequality equation is 2x + 3y ≥ 5 (Answer)
Answer:
a) 320 students
b) 25 students
Step-by-step explanation:
Number of 18-years old in the survey:
(We add all frequency points for each line)
0 + 30 + 20 + 60 + 70 + 40 + 60 + 40 + 0 = 320 students
Number of 18 year old spending between 25 and 35 minutes: 40 + 65 = 105
Number of 12 year old spending between 25 and 35 minutes: 30 + 50 = 80
105 - 80 = 25 students
Click on the second choice, the 3x one
0 = 230 - 45x
Add 45x to both sides
45x = 230
Divide both sides by 45
x = 230 / 45
Simplify
x = 46 / 9
The solution represents the x intercept, which is where the graph intersects the x axis.
Answer:
Mean number of holidays taken =26.6
Step-by-step explanation:
To find the mean,
We use Σfx/Σf
Σfx =150+234+189+84+0+60
=717
Σf= 6+9+7+3+0+2
=27
Σfx/Σf= 717/27
26.6
