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Ivanshal [37]
3 years ago
10

Find the missing length

Mathematics
1 answer:
natka813 [3]3 years ago
3 0

Answer:

x = 45

Step-by-step explanation:

Corresponding sides of similar triangles will be in same ratio.

\dfrac{x}{x+18}=\dfrac{20}{28}

Cross multiply

x*28 = 20*(x+18)   {Use distributive method}

28x = 20x + 360

28x - 20x = 360

8x = 360

 x = 360/8

x = 45

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Step-by-step explanation:

We are given the following data below;

          Z                               P(Z)                        Z \times P(Z)

          9                               0.16                           1.44

         12                              0.25                             3

         15                              0.36                           5.4

         18                               0.17                           3.06

         21                          <u>    0.06    </u>                 <u>      1.26      </u>  

       Total                       <u>       1        </u>                <u>      14.16      </u>  

Now, the expected value for the random variable Z is given by;

          E(Z) = \sum Z \times P(Z)

                  = (9 \times 0.16) + (12 \times 0.25) +......+(21 \times 0.06)

                  = 14.16.

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4 years ago
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