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BabaBlast [244]
3 years ago
5

3^4x-5=(1/27) PLEASE HELP I AM IN TEARS

Mathematics
2 answers:
g100num [7]3 years ago
8 0
 x = 136/2187 = 0.062

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 

                     3^4*x-5-(1/27)=0 

<span>Step by step solution :
</span><span>Step  1  :</span> 1 Simplify —— 27 <span>Equation at the end of step  1  :</span><span> 1 (((34) • x) - 5) - —— = 0 27 </span><span>Step  2  :</span>

<span>Equation at the end of step  2  :</span><span> 1 ((34 • x) - 5) - —— = 0 27 </span><span>Step  3  :</span>Rewriting the whole as an Equivalent Fraction :

<span> 3.1 </span>  Subtracting a fraction from a whole 

Rewrite the whole as a fraction using <span> 27 </span> as the denominator :

81x - 5 (81x - 5) • 27 81x - 5 = ——————— = —————————————— 1 27

<span>Equivalent fraction : </span>The fraction thus generated looks different but has the same value as the whole 

<span>Common denominator : </span>The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

<span> 3.2 </span>      Adding up the two equivalent fractions 
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(81x-5) • 27 - (1) 2187x - 136 —————————————————— = ——————————— 27 27 <span>Equation at the end of step  3  :</span> 2187x - 136 ——————————— = 0 27 <span>Step  4  :</span>When a fraction equals zero :<span><span> 4.1 </span>   When a fraction equals zero ...</span>

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the <span>denominator, </span>Tiger multiplys both sides of the equation by the denominator.

Here's how:

2187x-136 ————————— • 27 = 0 • 27 27

Now, on the left hand side, the <span> 27 </span> cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   2187x-136  = 0

Solving a Single Variable Equation :

<span> 4.2 </span>     Solve  :    2187x-136 = 0<span> 

 </span>Add  136  to both sides of the equation :<span> 
 </span>                     2187x = 136 
Divide both sides of the equation by 2187:
                     x = 136/2187 = 0.062 

One solution was found :                  <span> x = 136/2187 = 0.062</span>
Verdich [7]3 years ago
4 0
This is really easy all it is is 3*4x-5
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The manager of a warehouse would like to know how many errors are made when a product’s serial number is read by a bar-code read
Firlakuza [10]

Answer:

The mean and standard deviation changed to 23.5 and 14.62 respectively, based on all 12 samples.

Step-by-step explanation:

We are given that the Six samples are collected of the number of scanning errors: 36, 14, 21, 39, 11, and 2 errors, per 1,000 scans each.

Representing the data in tabular form;

           X                            X - \bar X                            (X - \bar X)^{2}

          36                     36 - 20.5 = 15.5                   240.25

          14                      14 - 20.5 = -6.5                     42.25  

          21                       21 - 20.5 = 0.5                      0.25

          39                      39 - 20.5 = 18.5                   342.25

           11                        11 - 20.5 = -9.5                     90.25

           2                         2 - 20.5 = -18.5               <u>    342.25    </u>

        Total                                                              <u>   1057.5      </u>

Now, the mean of these value is given by;

        Mean, \bar X  =  \frac{\sum X}{n}

                         =  \frac{36+14+21+39+11+2}{6}

                         =  \frac{123}{6}  =  20.5

Standard deviation formula for discrete distribution is given by;

           Standard deviation, \sigma  =  \sqrt{\frac{\sum (X -\bar X)^{2} }{n-1} }

                                                 =  \sqrt{\frac{1057.5 }{6-1} } = 14.54

Now, the manager has six more samples taken:

33, 45, 34, 17, 1, and 29 errors, per 1,000 scans each

So, the modified table would be;

           X                            X - \bar X                            (X - \bar X)^{2}

          36                     36 - 23.5 = 12.5                   156.25

          14                      14 - 23.5 = -9.5                     90.25  

          21                       21 - 23.5 = -2.5                     6.25

          39                      39 - 23.5 = 15.5                   240.25

           11                        11 - 23.5 = -12.5                   156.25

           2                         2 - 23.5 = -21.5                   462.25    

          33                       33 - 23.5 = 9.5                     90.25

         45                        45 - 23.5 = 21.5                   462.25

         34                        34 - 23.5 = 10.5                   110.25

          17                         17 - 23.5 = -6.5                    42.25

           1                           1 - 23.5 = -22.5                   506.25

          29                        29 - 23.5 = 5.5               <u>     30.25      </u>

        Total                                                              <u>      2353      </u>

<u />

Now, the mean of these value is given by;

        Mean, \bar X  =  \frac{\sum X}{n}

                         =  \frac{36+14+21+39+11+2+33+45+34+17+1+29}{12}

                         =  \frac{282}{12}  =  23.5

Standard deviation formula for discrete distribution is given by;

           Standard deviation, \sigma  =  \sqrt{\frac{\sum (X -\bar X)^{2} }{n-1} }

                                                 =  \sqrt{\frac{2353 }{12-1} } = 14.62

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Answer:

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Step-by-step explanation:

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Answer:

3.002 * 10⁵

Step-by-step explanation:

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