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Kazeer [188]
3 years ago
7

What is the value of X ?

Mathematics
2 answers:
s2008m [1.1K]3 years ago
8 0
x^2+12^2=13^2\\\\ x^2+144=169 \ |-144 \\\\ x^2=25 \\\\ x=\sqrt{25} \\\\ x=5
or
x^2+12^2=13^2\\\\ x=\sqrt{13^2-12^2}=\sqrt{25}=5
Rainbow [258]3 years ago
7 0
X = 5. Using the pythagreom theorem, a²+b²=c², to solve x we put in the numbers into the equation getting a²+12²=13². Then solve for a. a²=25, 5·5=25, a=5 which means x=5.
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μ =2.23

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Step-by-step explanation:

Radio(x)                            weeks                           P(x)

0                                         5                                 5/100 = 0.05

1                                           27                               27/100=0.27

2                                          27                                 27/100 = 0.27

3                                         27                                 27/100 = 0.27  

4                                           9                                    9/100=0.09

5                                             5                                    5/100=0.05

We know that

Mean ,μ

\mu =\sum x.P(x)

μ = 0 x 0.05 + 1 x 0.27 + 2 x 0.27 + 3 x 0.27 + 4 x 0 .09 + 5 x 0.05

μ =2.23

\sigma_x^2= \sum x^2\times P(x)-(\sum x.P(x))^2

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\sigma_x^2= 1.49

\sigma_x= \sqrt{\sigma_x^2}

\sigma_x=1.22

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