Atwo-way frequency table is shown below that displays the relationship between age and preferred soft drink. we took a sample of 100 people and recorded the following results:

cola rootbeer dr. fizz total
10–25 years 10 5 20 35
26–40 years 15 10 10 35
41–55 years 20 10 0 30
total 45 25 30 100

what is the probability (rounded to the nearest whole percent) that a randomly selected person is 10 to 25 years old or prefers drinking rootbeer?
60%
55%
10%
5%

AGE                  Cola           Rootbeer       Dr. Fizz       Total
10–25 years       10                  5                    20            35
26–40 years       15                10                    10            35
41–55 years       20                10                      0            30
Total                   45                25                    30           100

Probability that a randomly selected person is 10-25 years old or prefers drinking rootbeer

Probability of 10-25 years old = 35/100 = 35%
Probability of drinking rootbeer = 25/100 = 25%

Probability of 10-25 years or perfers to drinking rootbeer
= 35% + 25% = 60%   1st option

Thus the dimensions to maximize the area is 30 by 60

Step-by-step explanation:

Let x= the length of the side perpendicular to the pen

and 120-2x= length of the side parallel to the shed

Area = x (120-2x) (1)

Area =120x - 2

The formula for the w-value of maximum is: -b/2a, thus our value will be:

-120/(-4) = 30

and substitue x = 30 into (1), we have:  120-2(30) =60

Thus the dimensions to maximize the area is 30 by 60