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My name is Ann [436]
3 years ago
12

Maria is setting up a 20gal salt water fish tank. That needs to have a salt content of 3.5% . if she has water with 2.5% salt an

d water with 3.7% salt. How many gallons of water with 3.7% salt content must she use????
Mathematics
1 answer:
Natalka [10]3 years ago
3 0
X + y = 20   ---> x = 20 - y

2.5x + 3.7y = (3.5)(20) = 70

--> 2.5(20-y) + 3.7y = 70

--> 50 -2.5y +3.7y = 70

--> 1.2y = 20

--->  y = 16.66

Answer: 16.66 gallons
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Answer: a) 453  b) 1537

Step-by-step explanation:

As per given , we have

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Critical value for 95% confidence interval : z_{\alpha/2}=1.96

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Required sample size :-

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.08(1-0.08)(\dfrac{1.96}{0.025})^2\\\\=452.386816\approx453

The minimum sample size is 453 U.S. adults.

b) Since the prior estimate of population proportion is not available , so we take p= 0.5

Required sample size :-

n=0.5(1-0.5)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.96}{0.025})^2\\\\=1536.64\approx1537

The minimum sample size is 1537 U.S. adults.

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4 years ago
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In order to know the answer for this one, let us analyze the whole problem.
Given that the store already lose $100 stolen by the guy, this guy also bought a merchandise worth 70$, and gets a change of $30. The merchandise was paid, but still, the store lost $100, and then an additional $30, for giving it back to the guy. So the total lost of the store would be $130. Hope this answer helps.
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