The data set is
20
32, 34, 36
40, 42, 44, 48
55
65
We can see that each value only shows up one time. Therefore there is no mode. To have a mode, we need to have a value show up more than once, and it must be the most frequent value. For example, the set {1,2,3,3,4} has a mode of 3 since it shows up twice, the most of any value in that set. However we don't have that occur for the data set your teacher gave you.
<h3>Final Answer: There is no mode for this data set</h3>
Well, we could make the number of lawns he mowed as 'L'
In this case, the total money that Gavin makes is 8.5L
Answer:
Step-by-step explanation:
Given
Tile
See attachment for dimension of the floor
Required
Determine the area covered by the carpet
From the attachment, the dimension of the floor is:
Calculate Area
The area of the tiles is:
So, the carpet area is:
To improper number
Take LCM
Use this rule: <em>(x^a)^b = x^ab</em>
3(x + 2)^3/5 + 2 = 27
Subtract 3 from both sides
3(x + 2)^3/5 = 27 - 3
Simplify 27 - 3 to 24
3(x + 2)^3/5 = 24
Divide both sides by 3
(x + 2)^3/5 = 24/3
Simplify 24/3 to 8
(x + 2)^3/5 = 8
Take the cube root of both sides
x + 2 = 3/5√8
Invert and multiply
x + 2 = 8^5/3
Calculate
x + 2 = 2^5
Simplify 2^5 to 32
x + 2 = 32
Subtract 2 from both sides
x = 32 - 2
Simplify 32 - 3 to 30
<u>x = 30</u>
