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kolbaska11 [484]
2 years ago
3

Use the table of motor vehicle deaths below to answer the questions.

Mathematics
1 answer:
IceJOKER [234]2 years ago
5 0
The death per capita is given by the number of MV deaths divided by the total population.

For Illinois, given that the number of MV deaths is 911 and the total population is 12.4 million,

thus, the Death per Capita is given by 911 / 12.4 million = 0.000073 and
the scientific notation of the Death per Capita is 7.3 x 10^-5.


For Ohio, given that the number of MV deaths is 1021 and the total population is 11.35 million,

thus, the Death per Capita is given by 1021 / 11.35 million = 0.000090 and
the scientific notation of the Death per Capita is 9.0 x 10^-5.


For Michigan, given that the number of MV deaths is 871 and the total population is 9.9 million,

thus, the Death per Capita is given by 871 / 9.9 million = 0.000088 and
the scientific notation of the Death per Capita is 8.8 x 10^-5.


For Alaska, given that the number of MV deaths is 64 and the total population is 0.63 million,

thus, the Death per Capita is given by 64 / 0.63 million = 0.000102 and
the scientific notation of the Death per Capita is 1.02 x 10^-4.
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yan [13]
Hi, as the elipce has a center at the origion and tha major distance is the axis

\frac{x^2}{a^2} + \frac{y^2}{b^2}  = 1

But, 

c = 12        Distance of focus

a = 13   ->  Major distance

b = ?  -> 

But, 

\\ b^2 + c^2 = a^2
 \\ 
 \\ b^2 + 12^2 = 13^2
 \\ 
 \\ b^2 + 144 = 169
 \\ 
 \\ b^2 = 169 - 144
 \\ 
 \\ b^2 = 25
 \\ 
 \\ b =  \sqrt{5} 
 \\ 
 \\ b = 5



Then,


\\  \frac{x^2}{(13)^2} +  \frac{y^2}{(5)^2} = 1
 \\ 
 \\ or
 \\ 
 \\  \frac{x^2}{169} +  \frac{y^2}{25} = 1
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Answer:

See solution solved accordingly

Step-by-step explanation:

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Paul is purchasing a dehumidifier for $162.75, including tax. He gives the sales clerk 1 fifty-dollar bill, 4 twenty-dollar bill
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Answer: Paul should receive $2.25 as a change from the cashier.

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Crop researchers plant 15 plots with a new variety of corn. The yields in bushels per acre are: 138.0 139.1 113.0 132.5 140.7 10
son4ous [18]
There is a relationship between confidence interval and standard deviation:
\theta=\overline{x} \pm \frac{z\sigma}{\sqrt{n}}
Where \overline{x} is the mean, \sigma is standard deviation, and n is number of data points.
Every confidence interval has associated z value. This can be found online.
We need to find the standard deviation first: 
\sigma=\sqrt{\frac{\sum(x-\overline{x})^2}{n}
When we do all the calculations we find that:
\overline{x}=123.8\\ \sigma=11.84
Now we can find confidence intervals:
($90\%,z=1.645): \theta=123.8 \pm \frac{1.645\cdot 11.84}{\sqrt{15}}=123.8 \pm5.0\\($95\%,z=1.960): \theta=123.8 \pm \frac{1.960\cdot 11.84}{\sqrt{15}}=123.8 \pm 5.99\\ ($99\%,z=2.576): \theta=123.8 \pm \frac{2.576\cdot 11.84}{\sqrt{15}}=123.8 \pm 7.87\\
We can see that as confidence interval increases so does the error margin. Z values accociated with each confidence intreval also get bigger as confidence interval increases.
Here is the link to the spreadsheet with standard deviation calculation:
https://docs.google.com/spreadsheets/d/1pnsJIrM_lmQKAGRJvduiHzjg9mYvLgpsCqCoGYvR5Us/edit?usp=sharing
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