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Lana71 [14]
3 years ago
10

LaTonya works two full-time jobs while attending college. She works 12 hours per week as a work - study student at the college a

nd is paid once a month. After taxes, her net pay is $289. On her second job, LaTonya works 16 hours each week,and is paid $7.25 per hour. Deductions from her weekly paycheck total $22.10. LaTonya's husband works full-time and is paid every two weeks. His take home pay after taxes is $1,108. What is the total household income they use in creating a budget for the next six months?
Mathematics
1 answer:
Pepsi [2]3 years ago
6 0
For LaTonya's first job she makes $289 a month, for the next 6 months that would be a total of $1734. For her second job she makes $93.90 ((16*7.25)-22.10) a week, for the next 26 weeks (6 months) that's a total of $2441.40. Her husband makes $1108 every two weeks, for the next 13 pay cycles (26 weeks or 6 months) that's a total of $14,404. All of these add up to $18,579.40 or $4096.57/month
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Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

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Where \mu=1.5 and \sigma=0.8

We are interested on this probability

P(1

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(1

And we can find this probability on this way:

P(-0.625

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-0.625

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We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability on this way:

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