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JulijaS [17]
3 years ago
15

Assume the situations are proportional. Use the unit rate to write an equation, then solve.

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
5 0
The car would be 17 gallons of gas, because the unit rate is 34 miles per gallon. Divide 578 by 34, and there you go! You'll get 17, which is the gallons. You, my friend, have just solved for x.
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Can someone answer this please<br> Questions 19 and 21
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3 0
2 years ago
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

 

4 0
3 years ago
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