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mrs_skeptik [129]
3 years ago
14

Using the rules for special cases, what is the result of?

Mathematics
2 answers:
Arlecino [84]3 years ago
8 0

Answer:

C) 4x^2 -8x +4[/tex]

Step-by-step explanation:

(-2x+2)^2

we apply (a+b)^2 formula

(a+b)^2 = a^2 + 2ab +b^2

a= -2x  and b= 2

Replace 'a' with -2x  and 'b' with 2

(-2x+2)^2 = (-2x)^2 + 2(-2x)(2) +2^2

(-2x)^2 is 4x^2

(-2x+2)^2 = 4x^2 -8x +4

option C is the answer



lakkis [162]3 years ago
5 0

Answer:

The correct answer is Option C 4x² -8x + 4

Step-by-step explanation:

(a + b)² = a² +  2ab + b²

<u>To find (-2x + 2)²</u>

Here a = -2x and b = 2

(-2x - 2)² = (-2x)² + 2*(-2x)*2 + 2²

(-2x - 2)² = 4x² -8x + 4

Therefore the correct  answer is option C . 4x² -8x + 4

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There are 10 employees in a particular division of a company. Their salaries have a mean of 570,000, a median of $55,000,and a s
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c) $332264.804

Step-by-step explanation:

We are given that there are 10 employees in a particular division of a company and their salaries have a mean of $70,000, a median of $55,000, and a standard deviation of $20,000.

And also the largest number on the list is $100,000 but By accident, this number is changed to $1,000,000.

a) Value of mean after the change in value is given by;

     Original Mean = $70,000

       \frac{\sum X}{n} = $70,000  ⇒ \sum X = 70,000 * 10 = $700,000

   New \sum X after change = $700,000 - $100,000 + $1,000,000 = $1600000

  Therefore, New mean = \frac{1600000}{10} = $160,000 .

b) Median will not get affected as median is the middle most value in the data set and since $1,000,000 is considered to be an outlier so median remain unchanged at $55,000 .

c) Original Variance = 20000^{2} i.e.  20000^{2} = \frac{\sum x^{2} - n*xbar }{n -1}

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    New \sum x^{2} = $3,600,700,000 - 100,000^{2} + 1,000,000^{2} = 9.936007 * 10^{11}  

    New Variance = \frac{new\sum x^{2} - n*new xbar }{n -1} = \frac{9.936007 *10^{11}  - 10*160000 }{10 -1} = 1.103999 * 10^{11}    Therefore, standard deviation after change = \sqrt{1.103999 * 10^{11} } = $332264.804 .

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3 years ago
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