Volume
of a rectangular box = length x width x height<span>
From the problem statement,
length = 60 - 2x
width = 10 - 2x
height = x</span>
<span>
where x is the height of the box or the side of the equal squares from each
corner and turning up the sides
V = (60-2x) (10-2x) (x)
V = (60 - 2x) (10x - 2x^2)
V = 600x - 120x^2 -20x^2 + 4x^3
V = 4x^3 - 100x^2 + 600x
To maximize the volume, we differentiate the expression of the volume and
equate it to zero.
V = </span>4x^3 - 100x^2 + 600x<span>
dV/dx = 12x^2 - 200x + 600
12x^2 - 200x + 600 = 0</span>
<span>x^2 - 50/3x + 50 = 0
Solving for x,
x1 = 12.74 ; Volume = -315.56 (cannot be negative)
x2 = 3.92 ;
Volume = 1056.31So, the answer would be that the maximum volume would be 1056.31 cm^3.</span><span>
</span>
The coding of the statistic is used to make it easier to work with the large sunshine data set
- The mean of the sunshine is 3.05

- The standard deviation is approximately <u>18.184</u>
<u />
Reason:
The given parameters are;
The sample size, n = 3.
∑x = 947
Sample corrected sum of squares, Sₓₓ = 33,065.37
The mean and standard deviation = Required
Solution:

The mean of the daily total sunshine is therefore;



- The mean ≈ 3.05

Alternatively
,
The mean of the daily total sunshine,
≈3.05

Therefore;

Therefore;
The standard deviation,
≈ <u>18.184</u>
Learn more about coding of statistic data here:
brainly.com/question/14837870
Answer:
4 1/4
Step-by-step explanation:
the additive inverse is a number that when you add it with the number you already had, makes 0
-2 is the additive inverse of 2
so 4 1/4 is the inverse of -4 1/4
The Prichard family drinks 3.5 gallons in a week.
I think it’s 6/8. Really sorry if I’m wrong.