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Lera25 [3.4K]
3 years ago
9

A political analyst predicts Mr. Smith will only get 122 votes for mayor. If Mr. Smith only gets 57 votes, what is the political

analyst's percent error? Round your answer to the nearest tenth of a percent.
Mathematics
1 answer:
Deffense [45]3 years ago
6 0

The percent error is 53.3 %

<em><u>Solution:</u></em>

<em><u>The formula for percent error is given as:</u></em>

Percent\ Error = \frac{\text{  l Experimental value - theoretical value l }}{\text{Theoretical value}} \times 100

From given,

A political analyst predicts Mr. Smith will only get 122 votes for mayor

Mr. Smith only gets 57 votes

Therefore,

Theoretical = 122

Experimental = 57

Thus we get,

\text{Percent Error } = \frac{ | 57-122 | }{122} \times 100\\\\\text{Percent Error } = \frac{65}{122} \times 100\\\\\text{Percent Error } = 0.5327 \times 100\\\\\text{Percent Error } = 53.28 \approx 53.3

Thus percent error is 53.3 %

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Answer:

The answer is

<h2>\sqrt{85}</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

<h3>d =  \sqrt{( {x1 - x2})^{2}  +  ({y1 - y2})^{2} }  \\</h3>

where

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From the question the points are

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The distance between them is

<h3>|CT|  =  \sqrt{ ({0 + 6})^{2}  +  ({4 + 3})^{2} }  \\  =  \sqrt{ {6}^{2} +  {7}^{2}  }  \\  =  \sqrt{36 + 49}</h3>

We have the final answer as

<h3>\sqrt{85}</h3>

Hope this helps you

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Help!!!! Question is attached in photo
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ANSWER

\tan( \alpha )  +  \tan( \beta )

EXPLANATION

The given identity is

\frac{  \sin( \alpha  +  \beta ) }{ \cos( \alpha ) \cos( \beta )  }

We expand the numerator to get:

= \frac{  \sin\alpha  \cos\beta  + \sin\beta  \cos \alpha }{ \cos( \alpha ) \cos( \beta )  }

Split the numerator to obtain:

= \frac{  \sin\alpha  \cos\beta }{ \cos( \alpha ) \cos( \beta )  }  + \frac{ \sin\beta  \cos \alpha }{ \cos( \alpha ) \cos( \beta )  }

Cancel the common factors:

= \frac{  \sin\alpha }{ \cos( \alpha )  }  + \frac{ \sin\beta  }{ \cos( \beta )  }

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