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Vilka [71]
3 years ago
6

Will Brown who pays weekly union dues of $3.00 earns $289 per week his federal income tax a$39.13 and his Rica tax is 6.2% he pa

ys a 4% state income tax a$15.00 annual city tax and 2% of his pay to the retirement fund what's his net income for the week he pays the city tax?
Mathematics
1 answer:
igomit [66]3 years ago
5 0
His  net income for the weeks he pays the city tax is$192.48

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If n = 6, then the value of n 2 is 12.<br> true or false
Vesna [10]
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3 years ago
15 degrees in 2 hours.
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Suppose the scores on an exam are normally distributed with a mean μ = 75 points, and standard deviation σ = 8 points.
Artyom0805 [142]

Answer:

P(X>69)=P(\frac{X-\mu}{\sigma}>\frac{69-\mu}{\sigma})=P(Z>\frac{69-75}{8})=P(Z>-0.75)

And we can find this probability on this way:

P(Z>-0.75)=1-P(Z

Step-by-step explanation:

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".  

Solution to the problm

Let X the random variable that represent the scores on an exam of a population, and for this case we know the distribution for X is given by:

X \sim N(75,8)  

Where \mu=75 and \sigma=8

We are interested on this probability

P(X>69)

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>69)=P(\frac{X-\mu}{\sigma}>\frac{69-\mu}{\sigma})=P(Z>\frac{69-75}{8})=P(Z>-0.75)

And we can find this probability on this way:

P(Z>-0.75)=1-P(Z

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