Surface area of box=1200 cm²
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
= the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>
<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>
by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>
<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000
v=4000</span>
72 square centimeters because
<span>(12×10)−(8×6)</span>
<span>120−48</span>
<span>72</span>
Answer:
Probability of having broken glass = 0.1933
Probability of not having broken glass = 0.8067
Step-by-step explanation:
The Treatment table in the file attached to the given question is written out and completed below;
Treatment
Response Smashed into Hit Control Total
Yes 16 7 6 29
No 34 43 44 121
Total: 50 50 50 150
Using relative frequencies,
the distribution of responses about whether there was broken glass at the accident for the subjects in this study can be computed as follows:
Probability of having broken glass = 
Probability of having broken glass = 0.1933
Probability of not having broken glass = 
Probability of not having broken glass = 0.8067
The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Solving the polynomial using completing the square:
2x² - 4x - 3 = 0
First divide through by 2:
x² - 2x - 3/2 = 0
add 3/2 to both sides:
x² - 2x - 3/2 + 3/2 = 0 + 3/2
x² - 2x = 3/2
add the square of half the coefficient x to both sides:
x² - 2x + 1 = 3/2 + 1
(x - 1)² = 2.5
taking square root:
x - 1 = ±√2.5
x = 1 ± √2.5
The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5
Find out more on equation at: brainly.com/question/2972832
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Answer:
There were 6 guides on Sunday.
Step-by-step explanation:
Same ratio
On Saturday, 120 tourists and 18 guides.
On Sunday, 40 tourists and x guides.
Due to the same ratio:
There were 6 guides on Sunday.
