Answer:
7,200 words
Step-by-step explanation:
The perimeter of a triangle is the sum of its side lengths.
The perimeter of the triangle is: 
<u>The sides of the triangle are:</u>
Side 1 = (8d - 3) cm
Side 2 = (6d + 2) cm
Side 3 = (7f + 8) cm
The perimeter (P) is calculated as:
P = Side 1 + Side 2 + Side 3
So, we have:

Remove brackets

Collect like terms


Hence, the perimeter of the triangle is: 
Read more about perimeters at:
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Answer:
points closest to zero will give the least change; those farthest away will give the greatest change. Listing the points in order by distance from 0 will put them in order by amount of change.
Step-by-step explanation:
The amount of change is the absolute value of the number on the number line. That value is the (positive) distance from 0. The numbers will most easily be compared if they are all put on one side of zero. For example, -1.75 and 1.75 are the same distance from zero, as are -3.25 and 3.25.
Listing the points in order by distance from 0 will put them in order by amount of change. In order, least change to greatest change, the numbers are ...
-1.75, 2.50, -3.25, -3.50, 4.75
Answer:
Step-by-step explanation:
From the given information:
the mean 
= 2300
Standard deviation = 
Standard deviation (SD) = 214.4761
TO find:
a) 



From the Z-table, since 5.595 is > 3.999

P(x > 3500) = 0.0001
b)
Here, the replacement time for the mean 
= 0.25
Replacement time for the Standard deviation 

For 115 component, the mean time = (115 × 20)+(114×0.25)
= 2300 + 28.5
= 2328.5
Standard deviation = 
= 
= 
= 
= 
= 214.482
Now; the required probability:




From the Z-table, since 8.376 is > 3.999
P(x > 4125) = 1 - 0.9999
P(x > 4125) = 0.0001
Answer:

Step-by-step explanation:
Given
--- scale factor
Required [missing from the question]:
The ratio of width of the model to the original
From the question, we understand that the scale factor is: 2 : 15
The ratio of the width of the model to the original equals the given scale factor i.e.
