What is difference between relative frequency and percentage? a. A relative frequency expressed as a decimal is the same as a percentage.
b. A relative frequency is the same as a percentage expressed as a decimal.
c. A relative frequency is the ratio of two percentages.
d. There is no difference between a relative frequency and a percentage.

b. A relative frequency is the same as a percentage expressed as a decimal.

Step-by-step explanation:

Hello!

The relative frequency is the ratio between the absolute frequency o a certain value/s of the variable and the total of observations of the data set. It indicates the proportion of the distribution that corresponds to said values of the variable.

The percentage is basically the expression of the value of the variable as a fraction of one hundred in relation to the total observations of the data set.

The plain difference between both values is that the relative frequency is expressed in decimal values, multiply it by 100 and you'll obtain the corresponding percentage.

I hope it helps!

x = 125 ft and y = 250/3 ft

Step-by-step explanation:

Let assume that,

x be the length of the northern part of the fence (parallel to the north wall)

y be the length of the western and eastern pieces of the fence

As well as farmer has $4000 to spend hence we can write,

8x + 8y + 4y = 4000

8x + 12y = 4000

Hence we can say that,

from the above equation we can write

We know that area

A=xy.

we can write

equating it 0 we get

Also,

which is less than zero.

we can see that A''(x) is always less than 0 hence using second derivative test we can say that x = 125 is a maximum point.

now, solving for y we get  

Hence we can say that dimensions for the plot that would enclose the most area is,

x = 125 ft and y = 250/3 ft