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o-na [289]
2 years ago
10

For hayabusa Brainly

%7D%20%20%3D%20..." id="TexFormula1" title=" \frac{1}{3} \times \frac{2}{3} = ..." alt=" \frac{1}{3} \times \frac{2}{3} = ..." align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
VLD [36.1K]2 years ago
8 0
<h2>>> Answer </h2>

_______

\:

\frac{1}{3}  \times  \frac{2}{3}  = ...

=  \frac{1 \times 2}{3 \times 3}

=  \bold{ \frac{2}{9}}

.

note :

Saya dapet warn nanti awas yah kamu _-

ipn [44]2 years ago
7 0
2/9


Mark brainliest please


Hope this helps you
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Fast Food and Gas Stations Forty percent of all Americans who travel by car look for gas stations and food outlets that are clos
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Answer:

a

mean \mu =  10 variance \sigma^2  = 6

b

The binomial random variable x fall into this interval ranges from

     - 5  to  5

c

P(6 \le x \le 14) =  0.8969  

Step-by-step explanation:

From the question we are told that

  The sample size is  n  =  25

   The  percentage that look for gas stations and food outlets that are close to or visible from the highway is  p =  0.40

Generally the mean is mathematically represented as

       \mu  =  n *  p

=>     \mu  =  0.40 * 25

=>    \mu =  10

The variance is mathematically represented as

      \sigma^2  =  np(1- p )

=>   \sigma^2  =  25 * 0.40(1- 0.40 )

=>    \sigma^2  = 6

The  standard deviation is mathematically evaluated as

     \sigma  =  \sqrt{\sigma^2}

     \sigma  =  \sqrt{6}

    \sigma  = 2.45

The  interval is evaluated as

       p\pm  2 \sigma

=>   p -  2 \sigma\ \ \ , \ \ \  p + 2\sigma

=>   0.40 -  2 *2.45\ \ \ , \ \ \  0.40 + 2* 2.45

=>   -4.5\ \ \ , \ \ \ 5.3

The binomial random variable x fall into this interval ranges from

     - 5  to  5

Generally

    P(6 \le x \le 14) =  P(\frac{ x -  \mu }{\sigma }  \le  \frac{14 - 10}{{2.45}} ]-P[  \frac{ x -  \mu }{\sigma }   \le \frac{6 - 10}{2.45 } ]

     P(6 \le x \le 14) =  P(Z  \le 1.63 ]-P[ Z  \le -1.63 ]

     P(6 \le x \le 14) =  [1- P(Z  > 1.63 ]] -[1- P[ Z  > -1.63 ]]      

From the z-table  

                 P(Z  > 1.63 ) = 0.051551

And

                P(Z  >- 1.63 ) =0.94845

=>        P(6 \le x \le 14) =  [1-0.051551] -[1-0.94845]      

=>        P(6 \le x \le 14) =  0.8969  

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