Answer:
The dimensions of the box are:
Length = 11.53cm
Breadth = 11.53cm
Height = 11.53cm
Step-by-step explanation:
The volume of the box can be calculated with this formula:
The volume of the box = area of square base X height of the box.
We are given that the length of one side of the square base is = x cm, and its height is h cm.
Area of square base = 
The surface area of the box will be minimized if the height of the box, is the same as its length. hence, we can take the height of the box to be x cm also.
In this case, the volume of the box will be 
from this, 
There fore, the box has its length, height, and width all having the same values.
The dimensions of the box are:
Length = 11.53cm
Breadth = 11.53cm
Height = 11.53cm
Answer:
106.67%
Step-by-step explanation:
85% as a fraction is 4/5
25% as a fraction is 3/4
<h2>

/

=

</h2>
Convert 16/15 to a decimal: 1.067
Multiply: 1.067 · 100= 106.67%
Answer:
The z score for bolt of diameter 18.12 mm is 1.20.
Step-by-step explanation:
Let <em>X</em> = diameter of bolts.
It is provided that the random variable <em>X</em> follows a Normal distribution with mean, <em>μ</em> = 18 mm and standard deviation, <em>σ</em> = 0.10 mm.
A <em>z</em>-score is a standardized score, a numerical, that defines how far a data value from the mean.
The distribution of <em>z</em>-scores is defined by the Standard Normal distribution.

The formula to compute the <em>z</em>-score is:

The value of the diameter of a bolt is, <em>x</em> = 18.12 mm.
Compute the <em>z</em>-score for this value as follows:

Thus, the z score for bolt of diameter 18.12 mm is 1.20.