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Nostrana [21]
3 years ago
6

How many liter of 15% weed killer mixture must be added to 5 liters of 10% weedkiller mixture to make 12% weed killer mixture?

Mathematics
1 answer:
finlep [7]3 years ago
4 0

Answer: 3 1/3 liter

Brainliest? <3

let x equal the number of liters of 15% weedkiller.

your equation is .15 * x + .10 * 5 = .12 * (x + 5)

simplify to get .15 * x + .10 * 5 = .12 * x + .12 * 5

simplify further to get .15 * x + .5 = .12 * x + .6

subtract .12 * x from both sides and subtract .5 from both sides and simplify to get .03 * x = .1

divide both sides by .03 to get x = .1 / .03 = 3.333333333 rounded to 9 decimal digits.

you would need 3.333333333 liters of 15% solution to be added to 5 liters of 10% solution to get 8.333333333 liters of 12% solution.

.15 * 3.333333333 = .5

.10 * 5 = .5

.5 + .5 = 1

5 + 3.333333333 = 8.333333333

1 divided by 8.333333333 = .12 which is equal to 12%.

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Complete Question

According to the Bureau of Labor Statistics, citizens remain unemployed for an average of 15.9 weeks before finding their next job (June, 2008). Suppose you want to show that Louisiana has been effective in getting their unemployed back to work sooner. You take a random sample of 50 citizens who were unemployed six months earlier and ask them to report the duration. You find that the average time spent unemployed was 13.4 weeks with a sample standard deviation of the time unemployed is 6.7 weeks.

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1  

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2

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Step-by-step explanation:

From the question we are told that

     The population  mean value for time  citizens remain unemployed is  \mu  =  15.9 \  weeks

     The  sample size is  n =  50

     The  sample standard deviation is  6.7 weeks.

      The  sample mean value for time  citizens remain unemployed is  \mu  =  15.9 \  weeks

       

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      The  alternative hypothesis  H_a  :  \mu < 15.9

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=>     z =  -2.64  

   

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