A percentage is a way to describe a part of a whole. The relative change from last year to this year is 3.7%.
<h3>What are Percentages?</h3>
A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
28.6% of city employees ride the bus to work, therefore, the final value is 28.6. While Last year, 29.7% of city employees rode the bus to work, therefore, the initial value is 29.7.
Since relative change means change with respect to some value. Thus, the relative value with respect to last year is,
Relative value = (29.7-28.6)/29.7 = 0.037 = 3.7%
Hence, the relative change from last year to this year is 3.7%.
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The surface area of the three dimensional solid is 72 square centimeters and its three dimensional diagram is attached.
Step-by-step explanation:
The given is,
Detailed view or net diagram of the three dimensional diagram.
Step:1
Three dimensional diagram of the given net diagram is attached.
From the three dimensional diagram given net diagram is rectangular prism.
Step:2
From the three dimensional diagram
Formula for surface area of the rectangular prism,
..............................(1)
Where, w - Width
l - Length
h - Height
From the attachment,
l = 6 cm
w = 2 cm
h = 3 cm
Equation (1) becomes,
= 2 ( 12 + 18 + 6 )
= 2 ( 36 )
A = 72 squared centimeters
( or )
From the net diagram,
Surface area, A = ((6×3)+(2×3)+(2×6)+(2×3)+(3×6)+(2×6))
= 18 + 6 + 12 + 6 + 18 + 12
= 72
Surface area, A = 72 squared centimeters
Result:
The surface area of the three dimensional solid is 72 square centimeters and its three dimensional diagram is attached.
There are 5 letters in the word "prime"
Imagine we had 5 slots to fill. They are empty initially.
Slot 1 has 5 choices to pick from
Once we pick a letter, we have 4 choices left over for slot 2
Slot 3 will have 3 choices
Slot 4 will have 2 choices
Slot 5 will have 1 choice
We have this countdown: 5,4,3,2,1
which multiplies out to 5*4*3*2*1 = 120
There are 120 unique ways to arrange the letters. Order matters. Because order matters, this is a permutation.