For maximum area, we take first derivative and then equalize it to zero
<span>A(x) = 27x- x^2 </span>
<span>A'(x) = 27 - 2x </span>
<span>Set that equal to zero and solve for x : </span>
<span>27 - 2x = 0 </span>
<span>27 = 2x ......................... [ added 2x to both sides ] </span>
<span>13.5 = x ........................ [ divided both sides by 2 ] </span>
So the area will be
<span>A = 27(13.5) - (13.5)^2 </span>
<span> = 364.5 - 182.25 </span>
<span> = 182.3 ft^2 </span>
Answer:
Step-by-step explanation:
As the name Karen is chosen 29 out of 111 times,
the experimental probability of the name Karen being chosen = 29/111
As five different names were put into a hat,
the theoretical probability of one name like Karen being chosen = 1/5
If the number of names in the hat were different, the experimental probability will still depend on the outcomes. If it is 29 out of 111 times, then the probability stays the same.
But the theoretical probability will be 1 out of the number of names. So it will change.
3000 would be your answer
Answer:
0.85 < 3
Step-by-step explanation:
Answer:
153
Step-by-step explanation:
ans.
5x=85
x =85÷5
=17
9x=17x9
=153