Answer:
10, 11, 12
Step-by-step explanation:
Hi there!
Let <em>x</em> be equal to the smallest integer.
Let <em>x</em>+1 and <em>x</em>+2 be equal to the consecutive integers.
We're given that:
⇒ smallest integer + 2 × middle integer = 20 + largest integer
Construct an equation:

Combine like terms:

Therefore, the smallest integer is 10.
This makes the consecutive integers 11 and 12.
I hope this helps!
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
Answer:
Step-by-step explanation:
Sorry
If the two ends of this triangular right prism are equilateral triangles. The surface area of the prism is 74cm.
<h3>Surface area</h3>
Using this formula
A=bh+L(S1+S2+S3)
Where:
L=5cm
b=4cm
h=3.5cm
S1=4cm
S2=4cm
S3=4cm
Let plug in the formula
A=4(3.5)+5(4+4+4)
A=14+5(12)
A=14+60
A=74 cm
Therefore the surface area of the prism is 74cm.
Learn more about surface area here:brainly.com/question/16519513
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