Let width and length be x and y respectively.
Perimeter (32in) =2x+2y=> 16=x+y => y=16-x
Area, A = xy = x(16-x) = 16x-x^2
The function to maximize is area: A=16 x-x^2
For maximum area, the first derivative of A =0 => A'=16-2x =0
Solving for x: 16-2x=0 =>2x=16 => x=8 in
And therefore, y=16-8 = 8 in
Answer:
43
Step-by-step explanation:
Order of Operations first
30 - 9 / 3 + 8 x 2
30 - 3 + 16
27+16
43
Answer:
an = 2 + n
Step-by-step explanation:
The differences between terms are all 1. The first term is 3. The general form of the general term is ...
an = a1 + d(n -1)
Filling in a1 = 3 and d = 1, we have ...
an = 3 + n - 1
an = 2 + n . . . . . . simplify
Answer: 0.923
Step-by-step explanation:
Let A be the event an Internet user posts photos that they have taken themselves, and B be the event an Internet user posts videos that they have taken themselves.
Pew Research Center finds that
P(A)=0.52 P(b)=0.26, and P(A or B)=0.54.
To find : P(A|B)
Since , 
i.e. 
Now, using conditional probability formula ,
Hence, the conditional probability that an Internet user posts photos that they have taken themselves, given that they post videos that they have taken themselves = 0.923
Answer:
5 /36
Step-by-step explanation:
Sample space :
Number of faces^number of dice = 6^2 = 36
Sum of 8 on a roll of 2 dies :
Probability = required outcome / Total possible outcomes
Required outcome = number of times a sum of 8 is obtained on a roll of 2 dies = 5
Total possible outcomes = sample space = 36
P(obtaining a sum of 8) = 5 /36
