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Vika [28.1K]
2 years ago
8

Please help and show work​

Mathematics
1 answer:
Nimfa-mama [501]2 years ago
6 0

Answer:

a ratio of cats to dogs is 5:3 so the total of that ratio is 8 so for every 8 animals there are 5 cats so 5/8*104=65

b. ratio of dogs to cats is 3:5 so 3 of every animal is a dog so 3/8*104 =39

and 39+65=104 as a final check = 104

this also proves that dogs are better than cats

Step-by-step explanation:

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A chemist examines 15 geological samples for potassium chloride concentration. The mean potassium chloride concentration for the
NikAS [45]

Answer:

0.376-2.145\frac{0.0012}{\sqrt{15}}=0.375    

0.376+2.145\frac{0.0012}{\sqrt{15}}=0.377    

And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter

Step-by-step explanation:

Data provided

\bar X=0.376 represent the sample mean for the chloride concentration

\mu population mean (variable of interest)

s=0.0012 represent the sample standard deviation

n=15 represent the sample size  

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)

Since we need to find the critical value first we need to begin finding the degreed of freedom

df=n-1=15-1=14

The Confidence is 0.95 or 95%, the significance would be \alpha=0.05 and \alpha/2 =0.025, and the critical value for this case with a t distribution with 14 degrees of freedom is t_{\alpha/2}=2.145

And the confidence interval is:

0.376-2.145\frac{0.0012}{\sqrt{15}}=0.375    

0.376+2.145\frac{0.0012}{\sqrt{15}}=0.377    

And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter

7 0
3 years ago
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