Answer:
Step-by-step explanation:
Let the side of the square base be x
h be the height of the box
Volume V = x²h
13500 = x²h
h = 13500/x² ..... 1
Surface area = x² + 2xh + 2xh
Surface area S = x² + 4xh ...... 2
Substitute 1 into 2;
From 2; S = x² + 4xh
S = x² + 4x(13500/x²)
S = x² + 54000/x
To minimize the amount of material used; dS/dx = 0
dS/dx = 2x - 54000/x²
0 = 2x - 54000/x²
0 = 2x³ - 54000
2x³ = 54000
x³ = 27000
x = ∛27000
x = 30cm
Since V = x²h
13500 = 30²h
h = 13500/900
h = 15cm
Hence the dimensions of the box that minimize the amount of material used is 30cm by 30cm by 15cm
28/42 ÷2
14/21 ÷2
2/3
28/42 in simplest form is = 2/3
Answer:
Yes ,0.3434434443 is a rational number.
Answer:
a)The ratio of the odds of exposure among cases and controls equal to 5.3
Step-by-step explanation:
Correct option is:
The ratio of the odds of exposure among cases and controls equal to 5.3
Solution:
Odds for cases=0.9/0.1=9
Odds for controls=0.63/0.37=1.703
Odds ratio=9/1.703=5.3
Hence the correct option is a)The ratio of the odds of exposure among cases and controls equal to 5.3
Answer:
Step-by-step explanation:
Even if I don't know the options I can give all the option that will be right for expending this. Just look at each step and see which one is one of the options.
