Answer:
- The means for both data sets are equal.
- The range of the number of pages Lionel read is greater than the range of the number of pages Aaron read.
- The range of the number of pages that Lionel read is 75.
Step-by-step explanation:
Given
Lionel
90, 45, 30, 25, 15
Aaron
55, 19, 40, 16, 75
in the first case; For Lionel;
Mean = (90+45+30+25+15
)/5 = 41 and
Range = (90-15)=75
The second case; Aaron
Mean = (55+19+40+16+75)/5 = 41 and
Range = (75-16)= 59
Therefore;
Both data sets have the same mean but different range.
The range of the number of pages Lionel is 75, which is greater than the range of the number of pages Aaron read, which is 59.
I have attached the graph of y = -x + 1.5
The line goes through the points (0,1.5) and (1.5,0)
We need to make a scale between blueprint and actual size. The trick in this question is to understand that the scale for the areas and the scale for the lengths are different.
Scale for area is given in the question as
1 unit on blueprint = 900 units in actual.
As the dining room is given to be rectangular we can find the scale for lengths by taking square root of scale for area.
√1 unit on blueprint = √900 units in actual
Therefore, scale for length= 1:30
Thus, by using the scale we can calculate actual length corresponding to 4 inches on blueprint by multiplying 4 with scale
4 inches×1/30=120inches
Answer = 120 inches
Adding 2x to both sides we get
y = 2x
This is direct variation where the constant is 2.
The answer of the equation is 0
