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monitta
3 years ago
14

Allison can complete a sales route by herself in 6 hours. working with an associate, she completes the route in 4 hours. How lon

g would it take her associate to complete the route by herself?
Mathematics
2 answers:
coldgirl [10]3 years ago
6 0

Answer:

Allison associate takes 12 hours to complete the route.

Explanation :

Number of hours taken by Allison to complete a sales = 6 hours

Number of hours taken by Allison and her associate together = 4 hours

We need to find the number of hours taken by her associate.

Let time taken by here associate be x hours

Further Explanation:

Unit of work done by Allison = \dfrac{1}{6}  

Unit of work done by Allison and here associate together = \dfrac{1}{4}  

Unit of work done by here associate = \dfrac{1}{x}  

\dfrac{1}{4}=\dfrac{1}{6}+\dfrac{1}{x}\\\\\dfrac{1}{x}=\dfrac{1}{4}-\dfrac{1}{6}\\\\\dfrac{1}{x}=\dfrac{3-2}{12}\\\\\dfrac{1}{x}=\dfrac{1}{12}  

x=12 hours.

Learn more:

brainly.com/question/12791734  (Answered by Johanrusli)

Keywords:

Time and work, unit of work, man work time

allsm [11]3 years ago
4 0
We know that
if <span>Allison can complete a sales route by herself in 6 hours
then
100% of the sales route---------------> 6 hours
x%--------------------------> 1 hour
x=100/6-----> x=16.67%/hour


Allison </span><span>working with an associate, she completes the route in 4 hours
</span>then 
100%------------------> 4 hours
x%----------------> 1 hour
x=100/4-----> x=25%

An associate in 1 hour complete-------> 25%-16.67%----> 8.33%
then
 an associate complete in 1 hour--------> 8.33%
 x hour--------------------------> 100%
x=100/8.33-----> x=12 hours

the answer is
12 hours

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Listed below is data on profit and market capitalization for a sample of 15 different firms in U.S. Profit is the y variable and
MissTica

Answer:

Step-by-step explanation:

Hello!

You have two study variables:

Dependent variable

Y: Profit of the firm in the U.S.

Independent variable

X: Market capitalization of the firm

a.

See the scatterplot in the attachment.

Looking at the graphic it seems that there is a positive regression between the profit and the market capitalization, meaning that every time the market capitalization of the firm increases, the profit of this firm also increases. But not all the "firms" adjust linearly, so I wouldn't expect the regression to be powerful.

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Where the parameters of the model are α and β, these two parameters are to be estimated to estimate the regression equation. The estimator for α is a and the estimator for β is b:

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I'll use a statistic software to calculate the estimated regression equation:

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c.

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I hope this helps!

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