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r-ruslan [8.4K]
3 years ago
8

A rain barrel collects 440 gallons of water for every

Mathematics
1 answer:
Andrej [43]3 years ago
7 0
308? It seems to be at .7 if an inch so I divided 440 by 10 which was 44, then I multiplied 44 and 7 and I got 308
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A 20-gallon container is filled halfway with a mixture that is $90\%$ vinegar and $10\%$ water. How many gallons of water must b
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Answer:

5 gallons of water must be added.

10 gallons to start with

adding 'x' gallons of water      final volume = 10 + x

.9 (10) = amount of vinegar

.1(10) = amount of water

amount of vinegar before and after water addition is constant

.9(10) = .6(10+x)  

9 = 6 + .6x

3 = .6x

x = 5 gallons of water to be added

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4 years ago
A random sample of 130 students is chosen from a population of 4,500 students. The mean IQ in the sample is 120, with a standard
barxatty [35]

Answer:

120-2.614\frac{5}{\sqrt{130}}=118.85    

120+2.614\frac{5}{\sqrt{130}}=121.15    

Step-by-step explanation:

Information given

\bar X= 120 represent the sample mean

\mu population mean (variable of interest)

s=5 represent the sample standard deviation

n=130 represent the sample size  

For this case we can't set a margin of error just with a % since they not specify 1.13% respect to something for this case we can omit this value

Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The degrees of freedom are given by:

df=n-1=130-1=129

The Confidence level is 0.99 or 99%, the significance would be \alpha=0.01 and \alpha/2 =0.005, and the critical value would be t_{\alpha/2}=2.614

And replacing we got:

120-2.614\frac{5}{\sqrt{130}}=118.85    

120+2.614\frac{5}{\sqrt{130}}=121.15    

3 0
3 years ago
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