Answer:
Step-by-step explanation:
Let the actual width of belt be x
we are given that the ideal width of safety belt strap is 5 cm
So, Difference between actual and ideal = (x-5)cm
We are also given that An actual width can vary by at most 0.35 cm.
So, The difference between actual and ideal width should be less than or equal to 0.35 cm
So,
We know
and
and
and
So,
Hence the range of acceptable widths is
Answer:
The percent of the area under the density curve where is more that 3 is 25 %.
Step-by-step explanation:
Since the density curve is a linear function, the area under the curve can be calculated by the geometric formula for a triangle, defined by the following expression:
(1)
Where:
- Area, in square units.
- Base of the triangle, in units.
- Height of the triangle, in units.
The percent of the area is the ratio of triangle areas under the density curve multiplied by 100 per cent, that is:
The percent of the area under the density curve where is more that 3 is 25 %.