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DedPeter [7]
3 years ago
9

Find the length of the missing leg in the following triangle

Mathematics
1 answer:
maxonik [38]3 years ago
3 0

Answer:

9

Step-by-step explanation:

a² +b²=c²

a²+40²=41²

a²=41²-40²

a²= 81

\sqrt{ {a}^{2} }  =  \sqrt{81}

a=9

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A local service agency hires you to estimate the average annual income of all 700 families living in a four square block section
Digiron [165]

Answer:

The true estimate of  the average annual income of all 700 families living in a four square block section lies within the 92% confidence interval below

   34854.3  <  \mu < 35 745.7

Step-by-step explanation:

From the question we are told that

    The  sample size is  n =  50  

    The sample mean is \= x = \$ 35300

     The population standard deviation is  \sigma =  \$ 1800

From the question we are told the confidence level is  92% , hence the level of significance is    

      \alpha = (100 - 92 ) \%

=>   \alpha = 0.08

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.751

Generally the margin of error is mathematically represented as  

      E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

=>   E = 1.751  *  \frac{1800 }{\sqrt{50} }

=>   E =  445.7

Generally 92% confidence interval is mathematically represented as  

      \= x -E <  \mu <  \=x  +E

=> 35 300 -445.7 <  \mu < 35 300 + 445.7

=> 34854.3  <  \mu < 35 745.7

So the true estimate of  the average annual income of all 700 families living in a four square block section lies within the 92% confidence interval

3 0
3 years ago
Here are the monthly charges for jo’s Mobile phone. Monthly charge £16,150 free minutes,then 13p per minute,150 free texts,then
zhuklara [117]

Answer:

16,652

Step-by-step explanation:

5 0
4 years ago
3600/40 what is it Evaluate
Elden [556K]
Just put it in a calculator, it’s 3600 divided by 40
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Select the best answer.<br><br> tan x tan x/2=
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Tan 2 x-2 tan x=0
Tan x (tan x-2 ) =0
A tan x=0 —> x=0 and x =K π
B tan x=2 —> x=63.43 +k180 deg

4 0
3 years ago
Which problems will have two decimal places in the product? Mark all that apply.
SashulF [63]

Answer:4.8 times 2

Step-by-step explanation:

5 0
3 years ago
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