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Sergeu [11.5K]
3 years ago
12

Anyone can find “v” and “u”??

Mathematics
1 answer:
irga5000 [103]3 years ago
7 0

Answer:

v  =  \frac{16}{3} \: \:  and \:  \:  u = \frac{20}{3}

Step-by-step explanation:

In triangle WYZ ,

{u}^{2}  =  {4}^{2}  +  {v}^{2}  = 16 +  {v}^{2}

In traingle WXZ ,

{(3 + v)}^{2}  =  {5}^{2}  +  {u}^{2}

Putting the value of U^2 in above eqn.

=  >  {(3 + v)}^{2}  = 25 + (16 +  {v}^{2} )

=  >  {v}^{2}  + 6v + 9 = 41 +  {v}^{2}

=  >  {v}^{2}  -  {v}^{2}  + 6v = 41 - 9

=  > 6v = 32

=  > v =  \frac{32}{6}  =  \frac{16}{3}

Putting the value of V in eqn. below :-

{u}^{2}  = 16 +  { (\frac{16}{3} )}^{2}

=  >  {u}^{2}  = \frac{256}{9}  + 16

=  >  {u}^{2}  =  \frac{256 + 144}{9}  =  \frac{400}{9}

=  > u =  \sqrt{ \frac{400}{9} }  =  \frac{20}{3}

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The solutions to the questions are given below

a)

sample(n) word length sample mean

1                    5,4,4,2    3.75

2                    3,2,3,6     3.5

3                         5,6,3,3    4.25


b)R =0.75

c)

  • The mean of the sample means will tend to be a better estimate than a single sample mean.
  • The closer the range of the sample means is to 0, the more confident they can be in their estimate.

<h3>What is the students are going to use the sample means to estimate the mean word length in the book.?</h3>

The table below shows sample means in the table.

sample(n) word length sample mean

1                    5,4,4,2    3.75

2                    3,2,3,6     3.5

3                         5,6,3,3    4.25

b)

Generally, the equation for is  mathematically given as

variation in the sample means

R =maximum -minimum

R=4.25-3.5

R =0.75

c)

In conclusion, In most cases, the mean of many samples will provide a more accurate estimate than the mean of a single sample.

They may have a higher level of confidence in their estimate if the range of the sample means is closer to 0 than it is now.

Read more about probability

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