Answer:
$20.40
Step-by-step explanation:
Answer:
6) The median is 80
7) The 1st quartile is 60
8) The 3rd quartile is 100
9) The minimum value is 40
10) The maximum value is 110
Step-by-step explanation:
Line up where the points are
Answer:
16,242. 7 cm^3.
Step-by-step explanation:
We need to cut off a square piece at the 4 corners of the cardboard.
Let the length of their edges be x cm.
The volume of the box will be:
V = height * width * length
V = x(100-2x)(40-2x)
V = x(4000 - 200x - 80x + 4x^2)
V = x(4x^2 - 280x + 4000)
V = 4x^3 + - 280x^2 + 4000x
Finding the derivative:
dV / dx = 12x^2 - 560x + 4000 = 0 ( when V is a maxm or minm.)
4(3x^2 - 140x + 1000) = 0
x = 37.86, 8.80.
Looks like x = 8.80 is the right value but we can check this out be looking at the sign of the second derivative:
V" = 24x - 560, when x = 8.8 V" is negative so this is a Maximum for V.
So the maximum volume of the box is when x = 8.8 so we have
V = 8.8(100-2(8.8)(40 - 2(8.8)
= 16,242. 7 cm^3.
Answer:
0.01052
Step-by-step explanation:
It would take me a million years to show you how to solve it but its long division
There is only one change of sign, so there is only one possible positive root.
There are five changes of signs, so there are 5,3 or 1 possible negative roots.
The number of complex roots can be equal to 4,2 or 0 (degree of a polynomial - possible positive roots - possible negative roots)
