Answer:
The 12 children selected in Mrs. Smith's kindergarten class.
Step-by-step explanation:
A sample is a representative part of a population on which a research is carried out.
The study In Mrs Smith's class was to find out the number of hours the children in Kindergarten Sleep in a day. Out of the total number of students, 12 were selected for observation. The 12 childen selected is therefore a sample of the class.
Answer: a) 92 yards, b) 29.29 yards and 672.99 sq. yd.
Step-by-step explanation:
Since we have given that
Area of square pen = 529 sq. yd
Let the length of each side be 'a'.
As we know the formula for "Area":

So, the perimeter of the square pen is given by

So, perimeter of square pen = Perimeter of round pen

So, the diameter of round pen is 
And the area of round pen is

Hence, a) 92 yards, b) 29.29 yards and 672.99 sq. yd.
Answer:
204
Step-by-step explanation:
Plug it into a calculator
or
20 multiplied by -4.25 then subtracted by 16 times -4.25 squared.
We have these system of inequalities:

In this way, we have two straight lines that can be solved as follows:

This two lines has been plotted in the Figure below and the region of the inequality is indicated in gray color. Therefore, each point in this region satisfies the system of inequalities. To illustrate this, let's take a point within the gray region, say (0, 0):

Answer:
35
Step-by-step explanation:
If the median of data (arranged in ascending order) 31,33,35,x,x+10,48,48,50 is 40,then find value of x.
Solution:
The median of a data is the middle number after the numbers from the data have been arranged either from least to greatest or from greatest to least. For an even number of data, the median is the average of the middle two numbers.
The data arranged in ascending order is:
31,33,35,x,x+10,48,48,50
SInce the data has an even number (8), the median is the average of the middle two numbers.
Median = average of x and x + 10
[x + (x + 10)] / 2 = median
[x + (x + 10)] / 2 = 40
x + x + 10 = 80
2x + 10 = 80
2x = 70
x = 70/2
x = 35