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Ksenya-84 [330]
3 years ago
9

Solve the system of linear equations by elimination. 2x+5y=16 3x−5y=−1 Get (x,y)

Mathematics
2 answers:
mamaluj [8]3 years ago
7 0

Answer:

(3,2)

Step-by-step explanation:

2x+5y=16

3x-5y=-1

Subtract 2x from the first equation

5y=16-2x

Substitute the given value of 5y into the equation

3x-(5y)=16

3x-(16-2x)=-1

Solve for x

3x-(16-2x)=-1

3x-16+2x=-1

5x-16=-1

5x=15

x=3

Substitute the given value of x into the equation

3x-5y=-1

3*3-5y=-1

Solve

3*3-5y=-1

9-5y=-1

-5y=-10

y=2

Mariulka [41]3 years ago
3 0
Answer: (3,2)
hope this helps you out .
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a political candidate has asked you to conduct a poll to determine what percentage of people support her. if the candidate only
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Answer:

The  sample needed is  n  =150

Step-by-step explanation:

From the question we are told that

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Given that the confidence level is  95% the level of significance is mathematically represented as

          \alpha  =  1 -  0.95

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Next we obtain the critical value of  \frac{\alpha }{2} from the z-table , the value is Z_{\frac{\alpha }{2} } =  1.96

The reason we are obtaining critical value of    \frac{\alpha }{2} instead of    \alpha is because  

\alpha represents the area under the normal curve where the confidence level interval (   1-\alpha ) did not cover which include both the left and right tail while  

\frac{\alpha }{2} is just the area of one tail which what we required to calculate the margin of error

The sample size is mathematically represented as    

            n  =  [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \r p[1-\r p]

Here \r  p is sample proportion of people that supported her and we will assume this to be 50% =  0.5

So

            n  = [\frac{1.96}{ 0.08} ]^2 *  [0.5 (1- 0.5)]

           n  =150

           

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