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alina1380 [7]
2 years ago
6

The odds against an event E occurring are 12 to 3. What is the probability of E occurring

Mathematics
2 answers:
madam [21]2 years ago
6 0
The answer is "12:3." The odds of it happening is 12 to 3.The <span>is the measure of the likelihood that an event will occur. 

Hope this helps!</span>
crimeas [40]2 years ago
4 0
To solve this problem you must apply the proccedire shown above:

 1. You have that t<span>he odds against an event E occurring are 12 to 3. Therefore, you have:

 total outcomes=12+3=15

  2. Then, you have that the probability </span><span>of the event E occurring</span> is:

 1-12/15=1/5

 The answer is: 1/5
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Question:
aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

so

Let

z ----> the scale factor

\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}

The scale factor is equal to

z=\frac{CB}{C'B'}

substitute

z=\frac{4}{8}

simplify

z=\frac{1}{2}

Part B) What is the ratio of the areas (small to large)?

<em>Area of the small triangle</em>

A=\frac{1}{2}(2)(4)=4\ units^2

<em>Area of the large triangle</em>

A=\frac{1}{2}(4)(8)=16\ units^2

ratio of the areas (small to large)

ratio=\frac{4}{16}=\frac{1}{4}

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

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