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zubka84 [21]
2 years ago
15

Expand 2(q+3) please

Mathematics
2 answers:
Crank2 years ago
6 0

Answer:

  2q +6

Step-by-step explanation:

The distributive property is used for this purpose. The factor outside parentheses (2) multiplies each of the terms inside parentheses (q, 3).

  2(q +3) = 2·q +2·3 = 2q +6

_____

<em>Additional comment</em>

It might help to think of the parentheses as a "bag" containing one "q" and 3 tokens. The number outside parentheses tells you how many "bags" you have. Expanding the expression is equivalent to dumping out the bags and describing the total contents:

  2(q +3) = (q +3) +(q +3) . . . . multiplication is the same as repeated addition

  = (q +q) +(3 +3)

  = 2q +6

Y_Kistochka [10]2 years ago
5 0

Answer:

  • 2q + 6

Step-by-step explanation:

<u>Expand the expression with the help of distributive property.</u>

  • 2(q + 3)
  • => (2 x q) + (2 x 3)
  • => 2q + 6

Hence, the expanded expression is 2q + 6.

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a population has a mean of 25 median of 24 and mode of 26 the standard deviation is 5 the value for the
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Complete Question

A population has a mean of 25, a median of 24, and a mode of 26. The standard deviation is 5. The value of the 16th percentile is _______. The range for the middle 3 standard deviation is _______.

Answer:

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The range for the middle 3 standard deviation is  10 \to 40

Step-by-step explanation:

From the question we are told that

     The  mean is  \mu  =  25

     The  median is  m  =  24

     The  mode is  n =  26

     The  standard deviation is  \sigma  =  5

Generally the 16th percentile is mathematically represented as

  P(x)= P(\frac{X  -  \mu }{ \sigma }   \le \frac{x- 25 }{5} ) = 0.16[/teGenerally  [tex]\frac{X -  \mu}{\sigma }  =  Z(The  \  standardized \  value \ of  \ X  )

So

       P(x) =  P(Z \le \frac{ x -  25}{5} ) =  0.16

Now from the normal distribution table  the z-score of  0.16 is  

      z =  -1

       P(x) =  P(Z \le \frac{ x -  25}{5} ) =  P(Z \le -1 )

=>  \frac{x- 25}{5}  =  -1

=>    x- 25  =  -5

=>      x =  25-5

=>       x = 20

The range for the middle 3 standard deviation is mathematically represented

        \mu  -  3\sigma \to \mu + 3\sigma

        25 -  3(5 ) \to 25 +  3(5 )

         10 \to 40

 

   

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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