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2 years ago

16. A company collected funds for charity from employees. The amount donated by some employees on the first day is as

Mathematics

1 answer:

ivolga24 [154]2 years ago

5 0

Answer: Median is the best measure of central tendency best represents the data.

Value of median= 15

Step-by-step explanation:

The given data : $10, $20, $15, $100, $10, $15, $10.

We observe that the above data has an outlier in it .

$100 is an extremely large value as compare to the other values in the data.

It means the data contains outlier.

Commonly , mean is the best measure of the central tendency.

We know that , when there is an outlier in the data , we prefer Median over Mean to measure the central tenancy of the data.

So for the given data set ,

Median is the best measure of central tendency best represents the data.

To find median , first arrange data in an order , we get

10 , 10 , 10 , 15 , 15 , 20 , 100

Number of data values = 7 (odd)

So Median= Middle-most number= 15

Hence, the median of data = 15

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George has 50,000in wage income ,20,000 in gambling winning .10,000 in alimony income and 5,000 in divided income the amount of

Softa [21]

The amount of George's income that is subject to withholding is <u>$75,000</u>, which excludes the alimony income.

<h3>What is alimony income?</h3>

Alimony income represents the amount received from a spouse or a former spouse under a divorce or separation instrument.

<h3>What are the incomes subject to withholding?</h3>

The incomes subject to withholding include the following:

Regular
Commissions
Vacation pay
Reimbursements
Other expense allowances
Pensions
Bonuses
Dividends
Gambling winnings.

<h3>Data and Calculations:</h3>

Wages income = $50,000

Gambling winning = $20,000

Alimony income = $10,000

Dividend income = $5,000

Income subject to withholding = $75,000 ($20,000 + $20,000 + $5,000)

Thus, George's income that is subject to withholding is <u>$75,000</u>, excluding the alimony income.

Learn more about withholding tax at brainly.com/question/26781826

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6 0

1 year ago

The larger of two numbers is 7 times the smaller number. Three times the larger number is 7 more than 4 times the smaller number

Juliette [100K]

Let the smaller number be x.

Given, the larger number is 7 times the smaller number.

So, the larger number = 7x.

Given, 3 times the larger number is 7 more than 4 times the smaller number.

So we can write the equation as,

$3(7x) = 4(x)+7$

$3(7x) = 4x+7$

$21x = 4x+7$

Now we have to move 4x to the left side by subtracting 4x from both sides.

$21x-4x = 4x-4x+7$

$21x-4x = 7$

$17x = 7$

To get x, we will divide both sides by 17. We will get,

$\frac{17x}{17} = \frac{7}{17}$

$x = \frac{7}{17}$

So the smaller number = $\frac{7}{17}$

The larger number = $7(\frac{7}{17} )$ = $\frac{49}{17}$

So we have got the required numbers.

Smaller number = $\frac{7}{17}$ and larger number = $\frac{49}{17}$ .

4 0

3 years ago

HELP PLEASE!<br>Find the value of x that makes m∥n.

Helen [10]

Answer:

Value of x = 10

4 0

3 years ago

In 2003 there were 1078 JC Penney stores and in 2007 there were 1067 stores.

Tamiku [17]

Answer:

a) $f(s)=\frac{-11}{3}s+\frac{3245}{3}$ $f(1)=1078 stores$ b) 2012, 1049 stores. 2014, 1041 stores. c) Yes it is a downsizing company.

Step-by-step explanation:

s=year | f(s) = number of stores per year

1 | 1078

4| 1067

$m=\frac{1067-1078}{4-1}\Rightarrow m=\frac{-11}{3}\\1078=-\frac{11}{3}*1+b\Rightarrow b=\frac{3245}{3}\\f(s)=\frac{-11}{3}s+\frac{3245}{3}$

s=1 in 2003

$s=1 year =2003\\ Testing\\f(1)=\frac{-11}{3}(1)+\frac{3245}{3}=\frac{3234}{3}=1078\\ f(1)=1078$

b) For 2012, s=9. For 2014, s=11

$\\f(s)=\frac{-11}{3}s+\frac{3245}{3}\\ \\f(9)=\frac{-11}{3}(9)+\frac{3245}{3}\cong1049\\\\f(11)=\frac{-11}{3}(11)+\frac{3245}{3}\cong=1041$

c) In deed. Since the function shows a decreasing amount of JC Penney stores. Maybe this is a downsizing from this company, progressively closing some stores.

4 0

3 years ago

An animal shelter estimates that it costs about $6 per day to care for each dog. If y represents the total cost of caring for a

TEA [102]

Answer:

A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 15, 18. Column 2 is labeled y with entries 6, 9, 12.

Step-by-step explanation:

A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 15, 18. Column 2 is labeled y with entries 6, 9, 12.

7 0

2 years ago