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stepan [7]
3 years ago
10

A small accounting firm has 4 accountants who each earn

Mathematics
1 answer:
solniwko [45]3 years ago
7 0

Answer:

Both the mean and median will decrease, but the

median will decrease by more than the mean

Step-by-step explanation:

The mean is an expression giving to the average earning of the Accountants.

Average defined is total earnings divided by total Accountants hired.

When they were 4 in number and earned between $50,000 to $60,000.

One can assume the average is the mid range of this number or worked out as [($50,000 x 2) + ($60,000 x 2)] divided by 4

= 220,000 / 4 = $55,000

When the 5th Accountant was hired, because he earns very low compared to the others; the average will decline thus:

= (220,000 + $10,000) divided by 5 = $46,000

Whereas the Median would have fallen sharply from $55,000 to $35,000.

That is; ($60,000 + $10,000)/2 = $35,000

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Why is it important to keep two sides of an equation balanced when solving?
Lady_Fox [76]

Answer:

An important property of equations is one that states that you can add the same quantity to both sides of an equation and still maintain an equivalent equation.  If you think of an equation as being like a balance scale, the quantities on each side of the equation are equal, or balanced.

Step-by-step explanation:

5 0
2 years ago
Help, please. I just need an answer, so if anyone is bored, for the love of god please... ​
Alla [95]

Answer:B & E

Step-by-step explanation:

We can first rearrange the function to isolate y. Then, we can find the slope as the function is in the form y=mx+b.

3x-4y=7\\-4y=-3x+7\\y=\frac{3}{4}x-\frac{7}{4}

Since parallel lines have the same slope, we can put the slope of 3/4 into the point slope form to get the answer.

<em>For reference, the point-slope form is </em>y-y_1=m(x-x_1)

y+2=\frac{3}{4}(x+4)\\y+2=\frac{3}{4}x+3\\y=\frac{3}{4}x+1

The first line is found in option E, so option E is one of the correct options.

We can also move the x to the other side, as two of the 5 options have both variables on the left (B and C).

-\frac{3}{4}x+y=1

If we multiply the whole equation by -4, we can get rid of the fraction.

-4(-\frac{3}{4}x+y)=-4(1)\\3x-4y=-4

Hence, option B is also correct.

7 0
1 year ago
Find the 10th term of an arithmetic sequence if the common difference is 32 and the first term is 2
zaharov [31]

Answer:

290

Step-by-step explanation:

If the first term is 2 and the common difference is 32, then the formula for a(n) is:

a(n) = 2 + 32(n-1).

Thus, the 10th term is a(10) = 2 + 32(10-1)  =  2 + 32(9) = 290

6 0
3 years ago
100/32 can someone help me how much would this be in fraction
kap26 [50]
Your answer would be 3 and 1/8
7 0
2 years ago
In a system of linear equations in two​ variables, if the graphs of the equations are the​ same, the equations are (blank) equat
makkiz [27]

Answer:

Please check the explanation.

Step-by-step explanation:

We know that when a consistent system has infinite solutions, then the graphs of the equations are exactly the same. In other words, these equations are called dependent equations.

All points of dependent equations share the same slope and same y-intercept.

For example,

6x-2y = 18

9x-3y=27

represent the dependent equations.

Writing both equations in slope-intercept form

y=mx+c

where m is the slope and c is the y-intercept

Now

6x-2y=18

2y = 6x-18

Divide both sides by 2

y = 3x - 9

Thus, the slope = 3 and y-intercept = b = -9

now

9x-3y=27

3y = 9x-27

Divide both sides by 3

y = 3x - 9

Thus, the slope = 3 and y-intercept = b = -9

Therefore, both equations have the same slope and y-intercept. Their graphs are the same. Hence, they are called dependent equations.

5 0
2 years ago
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