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PilotLPTM [1.2K]
3 years ago
5

A house painter charges $14 per hour for the first 45 hours he works, time and a half for the 10 hours after that, and double ti

me for all hours after that. How much does he earn for a 80-hour week?
Mathematics
1 answer:
Digiron [165]3 years ago
4 0

Answer: $1,540

Step-by-step explanation:

Given the following amount charged by a worker :

First 45 hours = $14 per hour

time and half for the next 10 hours

Double time for all hours after that:

If he worked for 80 hours :

First 45 hours = (45 × $14) = $630

Next 10 hours:

Time and half for 10 hours is equivalent to (10 × 1.5) = 15 hours

(15 × $14) = $210

Double time for all subsequent hours :

80 - (45 + 10) = 80 - 55 = 25

Double time : (2 × 25) = 50 hours

(50 × 14) = $700

Hence, total amount earned :

($630 + $210 + $700)

= $1,540

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Grades on a standardized test are known to have a mean of 1000 for students in the United States. The test is administered to 45
krok68 [10]

Answer:

a

The 95% confidence interval is 1003  <  \mu

b

Yes there is statistically significant evidence that students in Florida perform differently from other students in the United States

Step-by-step explanation:

From the question we are told that

   The population mean is  \mu =  1000

   The sample size is  n =  453

   The sample mean is  \= x  = 1013

    The standard deviation is s =  108

   

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

            \alpha  =  100 - 95

=>         \alpha  =  5\%

=>          \alpha  = 0.05

The critical value  for \frac{\alpha }{2} obtained from the normal distribution table is          

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

Generally the margin of error is mathematically represented as

         E =  Z_{\frac{\alpha }{2} } *  \frac{s}{\sqrt{n} }

=>     E =  1.96 *  \frac{108}{\sqrt{453} }

=>      E = 9.946

Generally the 95% confidence interval is mathematically represented as

           \= x  - E  <  \mu <  \= x + E

=>         1013  - 9.946  <  \mu < 1013  + 9.946

=>         1003  <  \mu

Given that the population mean(1000) is not within the 95% confidence interval for l for the average test score for students in Florida, then it means that there is statistically significant evidence that students in Florida perform differently from other students in the United States

 

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Step-by-step explanation:

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Answer:

x=20

Step-by-step explanation:

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