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Marta_Voda [28]
3 years ago
14

What is the standard deviation for the data given: 5, 10, 7, 12, 0, 20, 15, 22, 8, 2

Mathematics
1 answer:
Ahat [919]3 years ago
4 0

Answer:

6

Step-by-step explanation:

becvause youtvgk

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<img src="https://tex.z-dn.net/?f=5x-%20%5Cdfrac%7B%20%5Csqrt%7B%209%20%7B%20x%20%7D%5E%7B%202%20%7D%20-6x%2B1%20%5Cphantom%7B%5
Morgarella [4.7K]

Answer:

=5x+1          or          =5x-1

Step-by-step explanation:

One is given the following equation:

5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}

The problem asks one to simplify the expression, the first step in solving this equation is to factor the equation.  Rewrite the numerator and denominator of the fraction as the product of two expressions. Remember the factoring patterns:

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

=5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}

=5x-\frac{\sqrt{(3x-1)^2}}{-(3x-1)}

Now simplify the numerator. Remember, taking the square root of a squared value is the same as taking the absolute value of the expression,

=5x-\frac{\sqrt{(3x-1)^2}}{1-3x}

=5x-\frac{|3x-1|}{-(3x-1)}

Rewrite the expression without the absolute value sign in the numerator. Remember the general rule for removing the absolute value sign:

|a-b|\\=a -b           or           (-a-b) = b-a

=5x-\frac{|3x-1|}{-(3x-1)}

=5x-\frac{3x-1}{-(3x-1)}          or          =5x-\frac{-(3x-1)}{-(3x-1)}

Simplify both expressions, reduce by canceling out common terms in both the numerator and the denominator,

=5x-\frac{3x-1}{-(3x-1)}          or          =5x-\frac{-(3x-1)}{-(3x-1)}

=5x-(-1)          or          =5x-(1)

Simplify further by rewriting the expression without the parenthesis, remember to distribute the sign outside the parenthesis by the terms inside of the parenthesis; note that negative times negative equals positive.

=5x-(-1)          or          =5x-(1)

=5x+1          or          =5x-1

6 0
3 years ago
Writing expressions word problems
olganol [36]
The equation is:
250 - (120 ÷ x)

I hope this helps! :D

~PutarPotato
4 0
3 years ago
Read 2 more answers
Find the area of triangle ABC. Give your answer correct to 1 decimal place AC=7 Cb=12 a=72 degrees b=59 degrees
Tems11 [23]

Answer:

31.7 cm²

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = \frac{1}{2} absinC

where a, b are the 2 sides given and C the angle between them

∠ C = 180° - (72 + 59)° = 180° - 131° = 49° , thus

A = 0.5 × 12 × 7 × sin49° ≈ 31.7 cm² ( to 1 dec. place )

3 0
3 years ago
Please help step by step!!!
Lesechka [4]

Answer:

-7

Step-by-step explanation:

We first are going to flip the equation around.

So instead of 9 times x = -36 we'll do 36/9. 36/9 = -7.

Also you will kind of know it will be a negative number from the beginning since it's -36.

I don't know if that last part makes any sense, but I hope this helps you!

5 0
3 years ago
Read 2 more answers
7- H ,0 am An average persons heart beats about 103,680 times a day and solve an equation to find about how many times me average
Mrac [35]
103680÷24=4320
4320÷60=72
=72times/minute
8 0
3 years ago
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