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Kamila [148]
3 years ago
7

3x+y/z=2 solve for x

Mathematics
1 answer:
svetlana [45]3 years ago
6 0
<span>(3x+y)/z = 2

Get rid of the z first.

3x + y = 2z

Then the y.

3x = 2z - y

Then divide both sides by 3 to isolate x.

x = 2/3z - 1/3y</span>
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Life rating in Greece. Greece has faced a severe economic crisis since the end of 2009. A Gallup poll surveyed 1,000 randomly sa
elena-s [515]

Answer:

a

        The population parameter of interest is the true proportion of Greek who are suffering

    While the point estimate of this parameter is  proportion of those that would rate their lives poorly enough to be considered "suffering". which is 25%  

b

   The condition  is met

c

   The  95% confidence interval is   0.223 <  p  < 0.277

d

      If the confidence level is increased which will in turn reduce the level of significance but increase the critical value(Z_{\frac{\alpha }{2} }) and this will increase the margin of error( deduced from  the formula for margin of error i.e  E \ \alpha \  Z_{\frac{\alpha }{2} } ) which will make the confidence interval wider

e

  Looking at the formula for margin of error if the we see that if the  sample size is increased the margin of error will reduce making the  confidence level narrower

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  1000

     The  population proportion is  \r p  = 0.25

     

Considering question a

   The population parameter of interest is the true proportion of Greek who are suffering

    While the point estimate of this parameter is  proportion of those that would rate their lives poorly enough to be considered "suffering". which is 25%  

Considering question b

The condition for constructing a confidence interval is

        n *  \r p >  5\  and  \   n(1 - \r p ) >5

So  

        1000 *  0.25 > 5 \  and \  1000 * (1-0.25 ) > 5

         250  > 5 \  and \  750> 5

Hence the condition  is met

Considering question c

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

          \alpha  =  100 - 95    

          \alpha  =  5 \%

          \alpha  =  0.05

Next we obtain the critical value of \frac{\alpha }{2} from the normal distribution table, the value is  

              Z_{\frac{\alpha }{2} }  =  1.96        

Generally the margin of error is mathematically represented as

         E =  Z_\frac{ \alpha }{2}  *  \sqrt{ \frac{\r p (1 - \r p ) }{n} }

substituting values

         E =  1.96  *  \sqrt{ \frac{ 0.25 (1 - 0.25 ) }{ 1000} }

         E =  0.027

The  95% confidence interval is mathematically represented as

            \r p  - E  <  p  <  \r p  + E

substituting values  

           0.25 -  0.027  <  p  < 0.25 + 0.027

substituting values

           0.223 <  p  < 0.277

considering d

  If the confidence level is increased which will in turn reduce the level of significance but increase the critical value(Z_{\frac{\alpha }{2} }) and this will increase the margin of error( deduced from  the formula for margin of error i.e  E \ \alpha \  Z_{\frac{\alpha }{2} } ) which will make the confidence interval wider

considering e

     Looking at the formula for margin of error if the we see that if the  sample size is increased the margin of error will reduce making the  confidence level narrower

   

5 0
3 years ago
Which expression has the same value as –y^–4?
MrMuchimi
Answer is b

–y^–4 = – 1/y^4

hope that helps
8 0
3 years ago
Read 2 more answers
Dividing the sum of 3 7/8 and 2 11/16 by 5/8 yields which value?
Vladimir [108]
3 7/8 + 2 11/16= 6 9/16
5 0
3 years ago
Mike's car broke down 5 miles from the auto shop. If he can push his car 1,056 feet per hour, how many hours will it take him to
Alinara [238K]

Answer:

It'll take 25 hours to get to the auto shop

Step-by-step explanation:

Given

Distance = 5 miles

Speed =1056 feet per hour

Required

How long will it take to the auto shop

This can be solved using Speed's formula;

Speed = \frac{Distance}{Time}

Substitute values for Speed and Distance

\frac{1056 ft}{hr} = \frac{5 miles}{Time}

1 mile = 5280 feet;

So:

\frac{1056 ft}{hr} = \frac{5 * 5280 ft}{Time}

\frac{1056 ft}{hr} = \frac{26400ft}{Time}

Cross Multiply

Time * 1056ft = 26400ft * hr

Divide both sides by 1056ft

Time * \frac{1056ft}{1056ft} = \frac{26400ft * hr}{1056ft}

Time = \frac{26400ft * hr}{1056ft}

Time = 25hr

<em>Hence, it'll take 25 hours to get to the auto shop</em>

3 0
3 years ago
Is it right ????????
Korolek [52]

Answer:

yeah

Step-by-step explanation:

6 0
3 years ago
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