For solving this question we will use the relationship between the range of data and the spread of data. The relationship is that "Higher the Range of the Data, Higher is the Spread and lower the range of the data then lower is the spread".
So, keeping in mind this definition let us proceed and check each option and measure their range.
We know that Range is measured as
Range=(Highest Value of the Data)-(Lowest Value of the Data)
a. 13.7-3.1=10.6
b. 423.6-1.3=422.3
c. 38.4-7.2=31.2
d. 231.4-5.5=225.9
As we can see Option b. has the largest range and as range is a measure of spread then option b is the distribution which has the largest spread.
The equation for a line that passes through the point of (3, 9) and has a slope of 2 in slope intercept form is y=2x+3
Answer: The number of different ways she could arrange the carpet squares is 36!.
Step-by-step explanation:
We know that , the number of ways to arrange n things = n!
Given that , Your teacher has 36 carpet squares.
i.e. The total number of carpet squares = 36
If she needs to make a new arrangement for the reading carpet.
Then, the total number of arrangement of carpet squares would be 36!.
Hence , the number of different ways she could arrange the carpet squares is 36!
Answer:
Yes, the price the school pays each year in entrance fees is proportional to the number of students entering the zoo
Step-by-step explanation:
Relationships between two variables is proportional if their ratios are equivalent.
In 2010, the school paid $1,260 for 84 students to enter the zoo.
Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo = 
In 2011, the school paid $1,050 for 70 students to enter the zoo.
Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo = 
In 2012, the school paid $1,395 for 93 students to enter the zoo.
Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo = 
As
,
the price the school pays each year in entrance fees is proportional to the number of students entering the zoo.