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soldi70 [24.7K]
3 years ago
9

Marco earns $36.50 per hour show that the relationship between the amount he earns and the number of hours he works is proportio

nal write an equation for the relationship
Mathematics
1 answer:
Korolek [52]3 years ago
3 0

To establish this equation we first need to assign some variables.

Let us assign x as the number of hours he has worked

and assign y as the total amount of money that he has earned

Therefore the equation y=36.50x is the equation that correctly represents how much money he makes regardless of how many hours he works.  Just plug in how many hours you want for x and then solve the equation and you will get how much money he makes in x amount of hours.  This is also proportional because for every hour that he works he gets the same salary of 36.50.  It is proportional because no matter how many hours he works the salary will go up the same amount for each extra hour he works.  The proportion is 36.50 dollars per hour worked.

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What expressions are equivalent to (a^2-16)(a+4)
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[(a)^2-(4^2)](a+4)

Step-by-step explanation:

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3 0
3 years ago
A poll asked 1057 American adults if they believe there was a conspiracy in the assassination of President Kennedy, and found th
AVprozaik [17]

Answer:

The 95% confidence interval of the proportion of Americans who believe in the conspiracy is  0.551<  p <  0.610

Step-by-step explanation:

From the question we are told that

   The sample size is  n =1057

   The number that believe there was a conspiracy is  k = 614

Generally the sample proportion is mathematically represented as

      \^ p =  \frac{614}{1057 }

=>   \^ p = 0.5809

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

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

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

=>   E = 1.96 * \sqrt{\frac{0.5809 (1- 0.5809)}{1057} }    

=>   E = 0.02975  

Generally 95% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>    0.5809 - 0.02975<  p <  0.5809 + 0.02975

=>    0.551<  p <  0.610

4 0
3 years ago
What is 5.8×10^6 seconds in minutes?
Wewaii [24]

Answer:

<u>9.66 x 10⁴ minutes</u>

Step-by-step explanation:

To convert seconds into minutes, simply divide by 60.

=> 5.8 x 10⁶ / 60

=> 580 x 10⁴ / 60

=> 29 x 10⁴ / 3

=> <u>9.66 x 10⁴ minutes</u>

3 0
2 years ago
Read 2 more answers
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