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Ne4ueva [31]
2 years ago
14

If your earned income for 2021 will be $84,686, Calculate what you will pay

Mathematics
1 answer:
Svetach [21]2 years ago
7 0

Answer:

5250.53 social security, 1227.95 Medicare

Step-by-step explanation:

84686x.062=5250.53 in social security

84686x.0145=1227.95 in Medicare

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Expand and simplify (x-7)(x+3)
velikii [3]
X(x+3)-7(x+3)
x2+3x-7x-21
x^2-4x-21
7 0
3 years ago
Read 2 more answers
Find a solution to the following system of equations. –5x + y = –5 –4x + 2y = 2
Arte-miy333 [17]
-5x + y = -5.....multiply by -2
-4x + 2y = 2
---------------
10x - 2y = 10 (result of multiplying by -2)
-4x + 2y = 2
-----------------add
6x = 12
x = 12/6
x = 2

-5x + y = -5
-5(2) + y = -5
-10 + y = -5
y = -5 + 10
y = 5

solution is (2,5)

8 0
3 years ago
Wires manufactured for use in a computer system are specified to have resistances between 0.11 and 0.13 ohms. The actual measure
Marina CMI [18]

Answer:

a) P(0.11

And we can find this probability with this difference and with the normal standard table or excel:

P(-1.11

b) P(0.11 < \bar X < 0.13)

And we can use the z score defined by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And using the limits we got:

z = \frac{0.11-0.12}{\frac{0.009}{\sqrt{4}}}= -2.22

z = \frac{0.13-0.12}{\frac{0.009}{\sqrt{4}}}= 2.22

And we want to find this probability:

P(-2.22< 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".  

Part a

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

X \sim N(0.12,0.009)  

Where \mu=0.12 and \sigma=0.009

We are interested on this probability

P(0.11

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(0.11

And we can find this probability with this difference and with the normal standard table or excel:

P(-1.11

Part b

We select a sample size of n =4. And since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we want this probability:

P(0.11 < \bar X < 0.13)

And we can use the z score defined by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And using the limits we got:

z = \frac{0.11-0.12}{\frac{0.009}{\sqrt{4}}}= -2.22

z = \frac{0.13-0.12}{\frac{0.009}{\sqrt{4}}}= 2.22

And we want to find this probability:

P(-2.22< Z

4 0
3 years ago
Read 2 more answers
During a sale, everything in the store was ⅕ off the ticketed price. What percent of an item's original price should you expect
tiny-mole [99]
You would pay 80% of the original price because 1/5 is 20% and you would subtract 20 from 100 to get 80 as your answer 

Hope this Helps :3
4 0
3 years ago
D - 8 divided by 5 = -4 d =
elena55 [62]
D = 0.32


d - 8 / 5 = -4d

d - 1.6 = -4d
d + 4d = 1.6
5d = 1.6
d = 0.32

This is an exact question in my math textbook. It should be correct.
6 0
2 years ago
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