The circumference of a circular stage is 157 feet. if katie paints the stage at the rate of 400 square feet per hour hownlong would it take, to the nearest hour

To answer this question you will need to use the information about the circumference to find the area.

Solve for the diameter using the circumference formula.
C = pi x d
157 = 3.14 x d
d = 50 feet

Now use the diameter to find the radius (50/2) of 25 feet.

You can now find the area of the stage.

A = pi x r^2
3.14 x 25^2
A = 1962.5 square feet

To find out how many hours it will take to paint divide the tots area by the number of square feet she can paint per hour.

1962.5/400 = 4.9

Katie will take approximately 5 hours to paint the stage.

The sample size is    

Step-by-step explanation:

From the question we are told that

   The margin of error is  E = 4% = 0.04

From the question we are told the confidence level is  95% , hence the level of significance is    

     

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Generally from the normal distribution table the critical value  of   is  

   

Since the sample proportion (point estimate of the population proportion was not give we will assume it to be  )

       

Generally the sample size is mathematically represented as  

   

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