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Talja [164]
3 years ago
9

Jack's gross weekly pay is $498. He has $52 withheld from each paycheck for federal income

Mathematics
1 answer:
maks197457 [2]3 years ago
5 0

Answer:

A. 56.78 B. 389.22

Step-by-step explanation:

A.Social security: 498x.062=30.88

  medicare: 498x.0145=7.22

  state tax: 498x.025=12.45

  local tax:  498x.0125=6.23

  total of above = 56.78

B. Total taxes above (56.78) + federal withheld (52) = total taxes 108.78

total pay 498 - total taxes 108.78 = 389.22

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Which of the following is not a way to determine if a relation is a function?
Dima020 [189]

D. Determine if the relations’ graph forms a line.

Step-by-step explanation:

A function is a relation if the input values lead to only one output value.The input values, normally x values make up the domain, where as the output values form the domain.A function is a relation where the input values are associated with a single output.The vertical test is used to determine if a curve is a function.The line graph should only hit a single point on the curve.

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2 years ago
Ayush and sumit take two different routes to school. Ayush's route is 1km 2hm long while sumit route is 2hm 30dam long while rou
emmasim [6.3K]

Answer:

Ayush's route is 0.7 km or 700m longer than Sumit route.

Step-by-step explanation:

Ayush's route is 1km 2hm long while sumit route is 2hm 30dam.

We know that,

1 km = 10 hm

1 dam = 0.1 hm

Using these conversions we get

Ayush's route = 1km 2hm = (1×10) hm + 2 hm = 12 hm

Sumit route = 2hm 30dam = 2 hm + (30×0.1) hm = 2 hm + 3 hm = 5 hm

Ayush's route is longer.

Difference = 12 hm - 5 hm = 7 hm = 0.7 km            [1 km = 10 hm]

Hence, Ayush's route is 0.7 km or 700 m longer than Sumit route.

4 0
3 years ago
Read 2 more answers
Solve the equation. Then check your solution. – two-fifths + a = One-fifth a. Three-fifths c. StartFraction 3 Over 10 EndFractio
Helga [31]

Answer:

A . a = 3/5

Step-by-step explanation:

- 2/5 + a = 1/5

Add 2/5 to each side

-2/5 + a + 2/5 = 1/5 + 2/5

a = 3/5

Therefore a = 3/5

If my answer is incorrect, pls correct me!

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6 0
3 years ago
A distance AB is observed repeatedly using the same equipment and procedures, and the results, in meters, are listed below: 67.4
skad [1K]

Answer:

a) \bar X =\frac{67.401+67.400+67.402+67.396+67.406+67.401+67.396+67.401+67.405+67.404}{10}=67.401

b) The sample deviation is calculated from the following formula:

s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And for this case after replace the values and with the sample mean already calculated we got:

s=0.0036

If we assume that the data represent a population then the standard deviation would be given by:

\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}

And then the deviation would be:

\sigma =0.00319

Step-by-step explanation:

For this case we have the following dataset:

67.401, 67.400, 67.402, 67.396, 67.406, 67.401, 67.396, 67.401, 67.405, and 67.404

Part a: Determine the most probable value.

For this case the most probably value would be the sample mean given by this formula:

\bar X =\frac{\sum_{i=1}^n X_i}{n}

And if we replace we got:

\bar X =\frac{67.401+67.400+67.402+67.396+67.406+67.401+67.396+67.401+67.405+67.404}{10}=67.401

Part b: Determine the standard deviation

The sample deviation is calculated from the following formula:

s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And for this case after replace the values and with the sample mean already calculated we got:

s=0.0036

If we assume that the data represent a population then the standard deviation would be given by:

\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}

And then the deviation would be:

\sigma =0.00319

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3 years ago
Identify the graph of the line passing through (0, -3) and (1, 0)
Elena-2011 [213]
Choice B:
The line intersects at both points (0,-3) and (1,0)

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