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Leona [35]
3 years ago
13

The following table shows the salary of 7 people in an office last year.

Mathematics
1 answer:
kotegsom [21]3 years ago
7 0

Answer:

a.  £24,714.29

b. £16,833.33

Step-by-step explanation:

The calculation of mean income is given below:-

Mean income = Total addition of salaries ÷ Number of workers

= £9,500 + £25,000 + £13,250 + £72,000 + £12,750 + £29,500 + £11,000

= £173,000 ÷ 7

= £24,714.29

Now,

the Mean income excluding Deva's salary:

= Formula of Mean income

= Total addition of salaries excluding Deva salary ÷ Number of workers

= (£9,500 + £25,000 + £13,250 + £12,750 + £29,500 + £11,000) ÷ 6

= £101,000 ÷ 6

= £16,833.33

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Which equation is the inverse of y=2x^2-8
shusha [124]

Step-by-step explanation:

In order to get the inverse of equation, we will interchange the variables and solve for x and y as follows.

             y = 2x^{2} - 8

whereas,  y + 8 = 2x^{2}

    or              x = \sqrt{\frac{y+8}{2}}

Now, on interchanging the variable we will get the equation as follows.

               x = 2y^{2} - 8

               x + 8 = 2y^{2}

                     y = \sqrt{\frac{x+8}{2}}


4 0
3 years ago
Read 2 more answers
Write an algebraic expression for “12 less than the quotient of 12 and a number z.”
algol13

\frac{12}{n}   - 12

4 0
3 years ago
Please work out and explain​
Mekhanik [1.2K]

Answer:

a = 22

b = 31

c = 13

Step-by-step explanation:

The sum is the same in each row, column, and diagonal.

One of the diagonals is already complete.  The sum is:

16 + 25 + 34 = 75

So the first row adds up to 75:

a + 37 + 16 = 75

a = 22

The second row adds up to 75:

19 + 25 + b = 75

b = 31

And the third row adds up to 75:

34 + c + 28 = 75

c = 13

We can check our answer by finding the sum of each column and the other diagonal.

22 + 19 + 34 = 75

37 + 25 + 13 = 75

16 + 31 + 28 = 75

22 + 25 + 28 = 75

3 0
3 years ago
Antoinette solves the linear equation 3(x-3)+2x+9 = 2X+ 2(x-1) using the steps shown below.
taurus [48]

Answer:

Antoinette's error

Option A) She distributed incorrectly.

Step-by-step explanation:

We are given the following information in the question:

Antoinette solves the linear equation

3(x-3)+2x+9 = 2x+ 2(x-1)

Antoinette made mistake in step 1 that is she did not distributed correctly.

If she would have distributed correctly, then she would have got the following solution:

3(x-3)+2x+9 = 2x+ 2(x-1)\\\text{Step 1: }3x-9+2x+9 = 2x + 2x-2\\\text{Step 2: }5x = 4x -1\\\text{Step 3: }5x-4x = -1\\\text{Step 4: }x = -1

Substituting x = -1 in the given equation, we gwt:

3(-1-3)+2(-1)+9 = 2(-1)+ 2(-1-1)\\-12-2+9 = -2-4\\-6=-6\\\text{which is true}

Antoinette's error

Option A) She distributed incorrectly.

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3 years ago
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David is going to invest $330 and leave it in an account for 20 years. Assuming the
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Answer:

$1255.

Step-by-step explanation:

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