Answer:
The dimension of the larger bin is x and the smaller bin is .
Step-by-step explanation:
Let the dimension of the larger bin is x.
It is given that the dimension of the smaller bin can be found by dilating the dimension of the larger bin by a scale factor of 0.75
In order to find the dimension of the smaller bin multiply the dimension of the larger bin by 0.75
Hence, the dimension of the larger bin is x and the smaller bin is .
The value of
Step-by-step explanation:
Given: The function
Using this formula, we need to find the value of
Hence, we need to substitute by
to find the value of
Multiplying the term by
, we get,
Adding the constant term,
Thus, the value of 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 %.
