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prohojiy [21]
3 years ago
10

-6 - 3(2x + 4) = 18what’s the answer

Mathematics
1 answer:
Brrunno [24]3 years ago
7 0

Answer:

x=-6

Step-by-step explanation:

-6-3\left(2x+4\right)=18

Add 6 to both sides:

-6-3\left(2x+4\right)+6=18+6

-3\left(2x+4\right)=24

Divide both sides by -3:

\frac{-3\left(2x+4\right)}{-3}=\frac{24}{-3}

2x+4=-8

Subtract 4 from both sides:

2x+4-4=-8-4

2x=-12

Divide both sides by 2:

\frac{2x}{2}=\frac{-12}{2}

x=-6

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gogolik [260]

Using it's concept, the standard deviation for the given data-set is of 8.22.

<h3>What are the mean and the standard deviation of a data-set?</h3>

  • The mean of a data-set is given by the <u>sum of all values in the data-set, divided by the number of values</u>.
  • The standard deviation of a data-set is given by the square root of the <u>sum of the differences squared between each observation and the mean, divided by the number of values</u>.

The mean for this problem is:

M = (17 + 26 + 28 + 9 + 30 + 29 + 6 + 21 + 23)/9 = 21

Hence the standard deviation is:

S = \sqrt{\frac{(17-21)^2 + (26-21)^2 + (28-21)^2 + \cdots + (21-21)^2 + (23-21)^2}{9}} = 8.22

More can be learned about the standard deviation of a data-set at brainly.com/question/12180602

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Step-by-step explanation:

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4 years ago
twice the number of donuts was only 6 less than 24 times the number of cream puffs. 10 times the number of cream puffs was only
Karolina [17]

donuts and cream puffs were  45 & 4 respectively !

<u>Step-by-step explanation:</u>

Here we have , twice the number of donuts was only 6 less than 24 times the number of cream puffs. 10 times the number of cream puffs was only 5 less than the number of donuts   We need to find how many donuts and cream puffs were there . Let's find out:

Let number of donuts and cream puffs are x & y respectively ! So ,

  • twice the number of donuts was only 6 less than 24 times the number of cream puffs

According to this statement equation is :

⇒ 2x=24y-6

⇒ x=12y-3            ................(1)

  • 10 times the number of cream puffs was only 5 less than the number of donuts

According to this statement equation is :

⇒ 10y= x-5

⇒ x=10y+5               ................(2)

Equation (1) & (2) :

⇒ 12y-3=10y+5

⇒ 2y=8

⇒ y=4

Putting  y=4 in  x=12y-3  :

⇒ x = 12(4)-3

⇒ x = 45

Therefore , donuts and cream puffs were  45 & 4 respectively !

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