Let x represent side opposite to highway and y represent other two opposite sides as shown in the diagram.
The perimeter of the parking lot will be sum of 3 sides that is 
.
We have been given that the plan is to use 440 feet of fencing to fence off the other three sides. This means that perimeter of 3 sides is 440.
We know that area of rectangle is length times width, so area of parking lot will be 
Upon substituting value of x, we will get:
Now we will find the derivative of area function as:
Let us find critical point by equating derivative to 0.
Now we will substitute this value is equation to solve for x as:
Therefore, the dimensions of 220 feet by 110 feet will enclose the maximum area.
Let the numbers be 2x and 3x.
<u>According to the Question</u>,
⇒ 2x + 3x = 45
⇒ 5x = 45
⇒ x = 45/5
⇒ x = 9
<u>Now finding the values of both the number,</u>
⇒ 2x = 2 × 9
= 18
⇒ 3x = 3 × 9
= 27
<u>Hence, the value of both the number is 18 and 27 respectively.</u>
Probability someone chosen at random will not have brown hair = 1/6
<h3>Probability of two variables</h3>
The number of girls = 15
The number of boys = 15
The total number of children = 15 + 15 = 30
Probability that someone chosen at random will have a brown hair, P(Brown hair) = 5/6
P(Brown hair) + P(Not Brown hair) = 1
5/6 + P(Not brown hair) = 1
P(not brown hair) = 1 - 5/6
P(not brown hair) = 1/6
Therefore, if someone is chosen at random, probability that they will not have brown hair = 1/6
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