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3 years ago

Jim is twice Sharon's age together their ages add up to 27. how old is each person?

Mathematics

2 answers:

Georgia [21]3 years ago

7 0

Answer:

Jim is 18. Sharon is 9.

Step-by-step explanation:

9+9=18

18+9=27

shusha [124]3 years ago

4 0

Answer:

Jim is 18, Sharon is 9.

Step-by-step explanation:

Sharon has to be 9. Two times 9 is 18, then add 9 to it for sharons age, and you get 27. hope this helps :)

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3 years ago

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3 years ago

To find the standard deviation of the diameter of wooden dowels, the manufacturer measures 19 randomly selected dowels and find

loris [4]

Answer:

Option D - $[0.12$

Step-by-step explanation:

Given : The manufacturer measures 19 randomly selected dowels and finds the standard deviation of the sample to be s=0.16.

To find : The 95% confidence interval for the population standard deviation sigma?

Solution :

Number of sample n=19

The degree of freedom is Df=n-1=19-1=18

The standard deviation of the sample is s=0.16

Applying chi-square table to find critical value,

Upper critical value of $\chi^2$ is $UC=\chi(\frac{0.05}{2},18) = 31.5264$

Lower critical value of $\chi^2$ is

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Lower limit of the 95% confidence interval for the population variance

$L=\frac{(df)\times (s^2)}{UC}$

$L=\frac{18\times (0.16^2)}{31.5264}$

$L=\frac{18\times0.0256}{31.5264}$

$L=\frac{0.4608}{31.5264}$

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Upper limit of the 95% confidence interval for the population variance

$U=\frac{(df)\times(s^2)}{LC}$

$U=\frac{18\times (0.16^2)}{8.2307}$

$U=\frac{18\times0.0256}{8.2307}$

$U=\frac{0.4608}{8.2307}$

$U=0.0559$

So, The 95% confidence interval for the population variance is [0.0146, 0.0560]

Now, The 95% confidence interval for the population standard deviation is

$[\sqrt{0.0146}$

$[0.1208$

or $[0.12$

Therefore, Option D is correct.

The 95% confidence interval for the population standard deviation is $[0.12$

6 0

2 years ago

Jim is twice Sharon's age together their ages add up to 27. how old is each person?​

Jim is twice Sharon's age together their ages add up to 27. how old is each person?