Answer:
Vertical stretching by a factor of 12, followed by upward translation of 2 units.
Step-by-step explanation:
Let's assume you're starting with f(x), the parent function.
Multiplying f(x) by 12 will stretch the graph vertically by a factor of 12. A point (1,1) on the graph of f(x) will re-appear as (1,12) after this vertical stretching. Once you've done that, translate the entire graph upward by 2 units.
Answer:
Option D. c = 45 will be the answer.
Step-by-step explanation:
In the figure attached there are two similar parallelograms PARL and WXYZ.
In which AP = 15, PL = 40, WZ = 120 and WX = c
By the property of similarity, corresponding sides of the given parallelograms will be in the same ratio.


c =
[By cross multiplication]
c = 45
Therefore, Option D. c = 45 will be the answer.
Answer:
either 2^8/3^8 or 256/6561
Step-by-step explanation:
looked it up on Symbolab
Using the concept of probability and the arrangements formula, there is a
0.002 = 0.2% probability that the first 8 people in line are teachers.
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- A probability is the <u>number of desired outcomes divided by the number of total outcomes.</u>
- The order in which they are positioned is important, and all people will be positioned, and thus, the arrangements formula is used to find the number of outcomes.
The number of possible arrangements from a set of n elements is given by:

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The desired outcomes are:
- First 8 people are teachers, in <u>8! possible ways.</u>
- Last 4 are students, in <u>4! possible ways.</u>
Thus, 
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For the total outcomes, <u>number of arrangements of 12 people</u>, thus:

The probability is:

0.002 = 0.2% probability that the first 8 people in line are teachers.
A similar problem is given at brainly.com/question/24650047
Z-m=z+bx
z-m-z=z+bx-z
-m=bx
bx=-m
bx/b=-m/b; b=0
x=-m/b; b=0