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ANEK [815]
2 years ago
10

Solve for x: −2x + 5 < 7 x > −1 x < −1 x > −6 x < −6

Mathematics
2 answers:
AysviL [449]2 years ago
7 0

- 2x + 5 < 7

- 2x  < 7 - 5

- 2x < 2

- x <  \frac{2}{2}

- x < 1

x <  - 1

So, Answer is <em><u>"</u></em><em><u> </u></em><em><u>x<</u></em><em><u> </u></em><em><u>-</u></em><em><u>1</u></em><em><u>"</u></em>

<em>Hope</em><em> it</em><em> helps</em><em> you</em><em>.</em><em>.</em><em>.</em>

<em>A</em><em>nswered </em><em>by </em><em>Benjemin</em><em> ☺️</em>

<em>✅</em>

mars1129 [50]2 years ago
5 0

hopefully this helps :)

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kicyunya [14]

Answer:

The  probability is  P(14 <  X  <  20 ) =  0.5354  

Step-by-step explanation:

From the question we are told that

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Given that there are two possible outcomes and that this outcomes are independent of each other then we can say the Recent census data follows a Binomial distribution

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Now the mean is evaluated as

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The standard deviation is mathematically evaluated as

     \sigma  =  \sqrt{n * \r p  *  \r q }

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Given the n is large  then we can use normal approximation to evaluate the probability as follows  

     P(14 <  X  <  20 ) =  P( \frac{ 14 -  17.75}{3.90}

Now applying continuity correction

      P(14 <  X  <  20 ) =  P( \frac{ 13.5 -  17.75}{3.90}  < \frac{  X  - \mu }{\sigma } < \frac{ 19.5 -  17.75}{3.90}   )

Generally  

    \frac{  X  - \mu }{\sigma }  =  Z  ( The  \ standardized \ value  \  of  X )

    P(14 <  X  <  20 ) =  P( \frac{ 13.5 -  17.75}{3.90}  < Z< \frac{ 19.5 -  17.75}{3.90}   )

     P(14 <  X  <  20 ) =  P( -1.0897   < Z<  0.449 }   )

    P(14 <  X  <  20 ) =   P( Z<  0.449   ) - P(Z  <   -1.0897)

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         P( Z<  0.449   ) =  0.67328

         P(Z  <   -1.0897)  = 0.13792

 P(14 <  X  <  20 ) =   0.67328 -  0.13792    

  P(14 <  X  <  20 ) =  0.5354  

     

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motikmotik

Answer:

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