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Oksi-84 [34.3K]
2 years ago
4

In a town there are on average 2.3 children in a family and a randomly chosen child has on average 1.6 siblings. Determine the v

ariance of the number of children in a randomly chosen family.
Mathematics
1 answer:
maksim [4K]2 years ago
6 0

Answer:

0.69

Step-by-step explanation:

Variance is the bounce size of a random variable, that is, its mathematical expectation. Standard deviation is also measured by the unit of random price. Variance is represented by the square of this unit.

Please find the solution on the attached file.

Download docx
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All students are classified as either full-time or part-time. Kenneth conducted a survey in which he collected data on the perce
Crank

Answer:

A

Step-by-step explanation:

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2 years ago
Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from​ B, a distance o
g100num [7]

Answer:

The value  is  k =109.6 \ miles

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

   The distance from city A to B is   AB =  467.3 miles

   The bearing from B to  C is  \theta_{BC} =  N 28.7E

   The bearing from B to  A is  \theta_{BA} =  N 60.7E

   The  bearing from A to  B is   \theta_{AB} =  S60.7W

    The  bearing from A to  C is   \theta_{AC} =  S79.1W

Generally from the diagram

     \theta_A  =  180 - 60.7 -79.1

=>  \theta_A  =  40.2 ^o

Also

     \theta_B  =  32^o

and  

      \theta_C  =  180 - (\theta_A  +\theta_B )

=>   \theta_C  =  180 - (40.2  + 32 )

=>   \theta_C  =  107.8 ^o

Generally according to Sine Rule

     \frac{BC}{sin (\theta_A)}  = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}

=>   \frac{BC}{sin (40.2)}  = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}    

So

     \frac{BC}{sin (40.2)}  = \frac{467.3 }{sin (107.8)}

=>  BC = 316.8 \ miles

Also  

    \frac{CA}{sin (32)} =  \frac{467.3 }{sin (107.8)}

    CA = 260 .1 \ miles

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct​ flight is mathematically represented as

      k = [CA +BC]  - AB

=>     k = [260 .1 +316.8]- 467.3

=>  k =109.6 \ miles

4 0
2 years ago
A bag contains 4 tan socks and 7 grey socks. emily reaches into the bag and randomly selects two socks without replacement. what
Y_Kistochka [10]
Tan socks = 4
Grey socks = 7
Total number of socks = 4+7 = 11 socks
Probability of picking a tan sock then grey sock:
P(T)*P(G) = (4/11)*(7/10) = 14/54

Probability of picking a Grey sock then Tan sock
P(G)*P(T) = (7/11)*(4/10) = 14/55

Probability of two different colored socks
P(T&G)+P(G&T) = (14/55)+(14/55) = 28/55
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Grace is 7 years older than Elena. Grace is also 15 years old.
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The 3rd one is the answer
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