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aleksklad [387]
3 years ago
12

Plz help for 60 points

Mathematics
2 answers:
ycow [4]3 years ago
8 0
4. 22 
5. 37
6. 108
7. 494
8. 168
 
I am not sure what seven is since the picture has cropped it out, sorry. Hope this helps! 

Happy learning! - Ann

Brilliant_brown [7]3 years ago
7 0

Answer:

1. 22

2. 37.

and....108 are the answers for this question.

Step-by-step explanation:

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Please solve with explanation (high points)
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So, we know that:

A=\dfrac{1}{2}ab\\P=a+b+c\\a^2+b^2=c^2

We also know that (a+b)^2=a^2+2ab+b^2. We will use that fact to find c in terms of A and P.

A=\dfrac{1}{2}ab\Rightarrow 2ab=4A\\P=a+b+c\Rightarrow a+b=P-c

Therefore:

(P-c)^2=c^2+4A\\P^2-2cP+c^2=c^2+4a\\2cP=P^2-4A\\c=\dfrac{P^2-4A}{2P}

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3 years ago
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A chemist is using 362 milliliters of a solution of acid and water. If 12.1% of the solution is acid, how many milliliters of ac
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Answer:

The answer to your question is 43.8 mL of acid.

Step-by-step explanation:

Data

Total volume = 362 ml

12.1 % is acid

The Volume of acid = ?

Process

1.- Use the rule of three and cross multiplication to solve this problem.

               362 ml ------------------- 100%

                    x       -------------------  12.1 %

                    x = (12.1 x 362) / 100

                    x = 4380.2 / 100

                    x = 43.802 ml

2.- Round your answer to the nearest tenth.

                        43.802   only consider the first decimal

                        43.8 mL

3.- Conclusion

    A 12.1% solution of acid has 43.8 mL of acid.

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Answer: (17.14,\ 22.86)

Step-by-step explanation:

The confidence interval estimate for the population mean is given by :-

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Given : Sample mean: \overline{x}=20

The margin of error for a 98% confidence interval estimate for the population mean using the Student's t-distribution : ME=2.86

Now, the confidence interval estimate for the population mean will be :-

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Hence, the 98% confidence interval estimate for the population mean using the Student's t-distribution =  (17.14,\ 22.86)

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