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LenKa [72]
4 years ago
5

I REALLY NEED HELP !!! HOW DO YOU DO THIS?

Mathematics
1 answer:
vredina [299]4 years ago
6 0

Answer:


Step-by-step explanation:

a. AB pass thro' (0,3) n (5,0)

so its eqn is (y-3)/(x-0) = (3-0)/(0-5)=-3/5

y=(-3/5)x + 3


b. area of ABC=1/2*base*height

=1/2*3*5=7.5


c. line perpendicular to AB has slope = 1/slope of line AB

= 1/(-3/5)

= -5/3

it passes thro' A (0,3) which is the y-intercept

so its eqn is y = (-5/3)x + 3


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14 rows. Hope this helped :) !

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Round to the nearest whole number 4.56
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5. Because 5 rounds up

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182-y=226 solve for y
weqwewe [10]

Step-by-step explanation:

-y=226-182

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A market surveyor wishes to know how many energy drinks teenagers drink each week. They want to construct a 80% confidence inter
jasenka [17]

Answer:

The 80% confidence interval for the mean

(4.6199 , 4.7801)

Step-by-step explanation:

<u>Explanation</u>:-

Assuming that the population standard deviation for the number of energy drinks consumed each week is 1

Given the Population standard deviation 'σ' = 1

The study found that for a sample of 256 teenagers the mean number of energy drinks consumed per week is 4.7

given sample size 'n' = 256

mean of the sample 'x⁻' = 4.7

<u>confidence interval for the mean</u>

The 80% confidence interval for the mean is determined by

(x^{-} -Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} + Z_{\alpha }\frac{S.D}{\sqrt{n} } )

the z-score of 80% level of significance = 1.282

(4.7 - 1.282\frac{1}{\sqrt{256} } , 4.7 + 1.282\frac{1}{\sqrt{256} } )

(4.7 - 0.0801 , 4.7 +0.0801)

(4.6199 , 4.7801)

<u>Conclusion</u>:-

The 80% confidence interval for the mean

(4.6199 , 4.7801)

7 0
4 years ago
Use Green's Theorem to evaluate the line integral along the given positively oriented curve.
FromTheMoon [43]

Answer:

∫ C ( y + e√x) dx  +  ( 2x + cosy² ) dy = 1/3

Step-by-step explanation: See Annex

Green Theorem establishes:

∫C ( Mdx  +  Ndy )  = ∫∫R ( δN/dx  -  δM/dy ) dA

Then

∫ C ( y + e√x) dx  +  ( 2x + cosy² ) dy

Here

M = 2x  + cosy²           δM/dy  =  1

N = y + e√x                 δN/dx  =  2

δN/dx  -  δM/dy  =  2  -  1   = 1

∫∫(R) dxdy   ∫∫ dxdy

Now integration limits  ( see Annex)

dy  is from   x  = y²    then     y = √x    to  y = x²   and for dx

dx   is from 0   to  1 then

∫ dy    = y | √x   ;   x²      ∫dy    =  x² - √x

And

∫₀¹ ( x² - √x ) dx    =  x³/3  - 2/3 √x |₀¹    =   1/3 - 0

∫ C ( y + e√x) dx  +  ( 2x + cosy² ) dy = 1/3

5 0
3 years ago
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