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Mamont248 [21]
2 years ago
9

You make $443 per week, and have claimed five exemptions. How much money will be withheld from you in a year? For weekly gross i

ncome between 440 to 450 and claiming 5 exemptions, 46 dollars will be withheld each week. a. $2,392 b. $2,288 c. $2,756 d. $2,858
Mathematics
1 answer:
disa [49]2 years ago
3 0

Answer:

Choice A. $2,392 is the correct answer :)

Step-by-step explanation:

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Which congruence theorem can be used to prove △MLQ ≅ △NPQ?<br><br> AAS <br> SSS <br> ASA <br> SAS
storchak [24]
Answer: SSS

Proof:
In ΔMLQ and ΔNPQ,
MQ = NQ (given) S
Since Q is the midpoint of LP, by definition, LQ = QP (S)
LM = PN (given) S

∴ ΔMLQ ≡ ΔNPQ (SSS)
4 0
2 years ago
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Create a set of 5 positive numbers (repeats allowed) that have median 7 and mean 10.
damaskus [11]

Answer:

Step-by-step explanation:

Two cases arise to obtain the median.

Case (1): Sample size (n) is odd

First, arrange the data in ascending order. Then, the median is the middle value and lies at the {\left( {\frac{{n + 1}}{2}} \right)^{{\rm{th}}}} position.

Case (2): Sample size (n) is even

First, arrange the data in ascending order. Then, the median is the mean of the two data values that lie on and positions.

Formula for mean is, where is the sum of all observations and n is the total number of observations.

(1)

Use the below process to create a set of 5 positive numbers (repeats allowed) that have median 7 and mean 10.

1.Select the 5 ordered numbers with middle value 7.

2.Adjust the remaining 4 numbers other than 7 to get mean 10 without changing the order of the numbers.

Based on the process to select the 5 ordered numbers with middle value 7 and change the other ordered numbers to get the mean value 10.

(2)

The product of the mean and the total number of observations is obtained. Then, the sum of four observations is subtracted from the product.

Here, the first four numbers are (5, 6, 7, 8).

The last number by using mean 10 is,

\begin{array}{c}\\\bar x = \frac{{5 + 6 + 7 + 8 + a}}{5}\\\\10 = \frac{{5 + 6 + 7 + 8 + a}}{5}\\\\50 = 26 + a\\\\a = 50 - 26\\=24\end{array}  

The last number is 24.

6 0
2 years ago
#7 Please!<br> ...................<br> ~~~~~~~~~
Rainbow [258]
B is da answer homie
6 0
1 year ago
Which graph represents f(x)=
Leona [35]

Answer:


Step-by-step explanation:


There are 3 graphs

Graph B:

f(x) = 9, -5<x<5

Symmetrical about x =0

To the right of x = 5, Passes through (5,9) and (15,30)

Use two point formula

y-9/(30-9) = x-5/(15-5)  or 21(x-5) = 10(y-9)

21(x-5) = 10(y-9)

because of symmetry about x =0, we get

equation as

f(x) = 2.1(x-5|)+90, for |x|>5

     =9, for |x|<5


Graph C is symmetric about x =-5

Hence the equation has an |x+5| in it

Because both sides straight line, right line passes through (-5,0) and (0,5) and hence right equation is x/-5 +y/5 =1

Or x-y = -5

Or y =x+5

Left side line is y = -x-5

Put together y = f(x) = |x+5| for graph C

iii) GraphD:

Graph D has 3 different lines.  Between 4 and t f(x) = 1

For x<4, Line passes through (3,3) and (4,1)

Using two point formula, y-3/(1-3) = x-3/(4-3)

Or -2x+6 = y-3 or 2x+y =9, for x <=4

For x>=4, line passes through (5,1) and (6,3)

Equation is (y-1)/(3-1) = (x-5)/(6-5) Or 2x-10 =y-1

2x-y =9

Together we can write f(x) as

y = |2x+9|,for x<=4 and x>=5

  = 1, for 4<x<5



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The answer to the algebra question is D
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2 years ago
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