The binomial probability is determined by the formula

Here, we will assume that finding the flaw is the "success" of the trial hence the following given

Finding the probability of one flawed scarf

Finding the probability of no flawed scarves

Finding the probability of more then three flawed scarves
50 times 12 equals 600 minus 520 equals 80 bars left over.
Let
x--------> the length side of the square base of the box
y-------> the height of the box
we know that
The surface area of the box is equal to


so


--------> equation A
the volume of the box is equal to
--------> equation B
Substitute the equation A in the equation B



using a graphing tool
see the attached figure
For 

the point
is a maximum of the function
<u>Find the dimensions of the box </u>

Find the value of y
<u>The dimensions of the box are</u>

<u>The largest possible volume of the box is</u>

He got 30% correct. To get this answer, you would divide 27 ÷ 90 and get 0.3. Then you would convert 0.3 into fraction form, which is 30%.
Use sine, cosine or tangent of your calculator.
e.g. Q.7