Answer: A. 0.75 ounces
B. y-40|<0.75, which is the required absolute equation.
Step-by-step explanation:
A. Tolerance = Difference between minimum or maximum value and average value.
Here, minimum value = 39.25 ounces
maximum value = 40.75 ounces
Average = 40 ounces of sand.
Tolerance = 40.75-40= 0.75 ounces
or Tolerance = 40- 39.25= 0.75 ounces
B. Let y = the amount of sand in ounces , that the company Sandy shores allows in the large bottle.
39.25 < y < 40.75
⇒ 40-0.75 < y < 40+0.75
⇒ -0.75 < y -40< +0.75 [subtract 40 from all sides]
⇒ |y-40|<0.75, which is the required absolute equation.
For example, length of a wire(l) lies between 2 and 4
So, 2< l < 4
⇒3-1 < l < 3+1
⇒ |l-3|<1
