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jasenka [17]
3 years ago
11

Help taking a quiz

Mathematics
1 answer:
olasank [31]3 years ago
6 0

Answer that is hard wow

Step-by-step explanation:

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Quantitative noninvasive techniques are needed for routinely assessing symptoms of peripheral neuropathies, such as carpal tunne
Marizza181 [45]

Answer

test statistic t =  -2.27    

P-value p- value  =  0.0198

Step-by-step explanation:

From the question we are told that

     The  first  sample  size is  n_1  = 5

     The first  sample mean is  \= x_1  =  1.76 \ mm

     The first  standard is  s_1   =  0.55

     The second is sample \ size\ is\  n_2 =  11

     The second sample mean is  \= x_2   = 2.56

     The second standard deviation is  \sigma =  0.84

      The level of significance is \alpha  =  0.01

The  null hypothesis is H_o :  \mu_1 - \mu_2 = 0

The  alternative hypothesis is  H_a: \mu_1 - \mu_2 <  0

Generally the test statistics is mathematically represented as

           t =  \frac{ (\= x _1 - \= x_2) - ( \mu_1 - \mu_2)}{ \sqrt{\frac{s_1 ^2 }{ n_1 }  + \frac{s_1 ^2 }{ n_1 }  } }

=>        t =  \frac{ (1.76 - 2.56 ) - 0 }{ \sqrt{\frac{0.55^2 }{ 5 }  + \frac{0.84^2 }{11 }  } }

=>        t =  -2.27      

Generally degree of freedom is mathematically represented as

          df  = n_1 + n_2 - 2

=>       df  = 5 + 11 - 2

=>       df  = 14

From the student t distribution table the probability value to the left that corresponds to t =  -2.27  at a degree of freedom of  df  = 14 is  

        p- value  =  0.0198

           

         

6 0
3 years ago
Martha biked 55 miles per day and Enrico biked 145 miles every 3 days. After 6 days, which statement correctly compares the numb
masha68 [24]

Answer:

After 6 days Martha biked 330 miles, while Enrico biked 290 miles.

Step-by-step explanation:

i. Martha bikes 55 miles per day.

So that after 6 days, Martha would have covered;

55 miles x 6 = 330 miles

After 6 days, Martha would have biked 330 miles.

ii. Enrico bikes 145 miles every 3 days.

Then after 6 days, Enrico would have covered;

\frac{6 days}{3 days} x 145 miles

= 2 x 145 miles

= 290 miles

After 6 days, Enrico would have biked 290 miles.

After 6 days Martha biked 330 miles, while Enrico biked 290 miles.

7 0
3 years ago
Evaluate the expression without using a calculator.<br> In1/e^7
Sati [7]

Answer:

-7

Step-by-step explanation:

ln(\frac{1}{e^7})\\=ln(e^{-7})\\  =-7ln(e)\\=-7

8 0
3 years ago
Autumn bought a square frame for her desk that has an area of 361 square units.
iogann1982 [59]
Answer: P=4a=4·361=1444
5 0
3 years ago
G verify that the divergence theorem is true for the vector field f on the region
Alenkasestr [34]
\mathbf f(x,y,z)=\langle z,y,x\rangle\implies\nabla\cdot\mathbf f=\dfrac{\partial z}{\partial x}+\dfrac{\partial y}{\partial y}+\dfrac{\partial x}{\partial z}=0+1+0=1

Converting to spherical coordinates, we have

\displaystyle\iiint_E\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV=\int_{\varphi=0}^{\varphi=\pi}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=0}^{\rho=6}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=288\pi

On the other hand, we can parameterize the boundary of E by

\mathbf s(u,v)=\langle6\cos u\sin v,6\sin u\sin v,6\cos v\rangle

with 0\le u\le2\pi and 0\le v\le\pi. Now, consider the surface element

\mathrm d\mathbf S=\mathbf n\,\mathrm dS=\dfrac{\mathbf s_v\times\mathbf s_u}{\|\mathbf s_v\times\mathbf s_u\|}\|\mathbf s_v\times\mathbf s_u\|\,\mathrm du\,\mathrm dv
\mathrm d\mathbf S=\mathbf s_v\times\mathbf s_u\,\mathrm du\,\mathrm dv
\mathrm d\mathbf S=36\langle\cos u\sin^2v,\sin u\sin^2v,\sin v\cos v\rangle\,\mathrm du\,\mathrm dv

So we have the surface integral - which the divergence theorem says the above triple integral is equal to -

\displaystyle\iint_{\partial E}\mathbf f\cdot\mathrm d\mathbf S=36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}\mathbf f(x(u,v),y(u,v),z(u,v))\cdot(\mathbf s_v\times\mathbf s_u)\,\mathrm du\,\mathrm dv
=\displaystyle36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}(12\cos u\cos v\sin^2v+6\sin^2u\sin^3v)\,\mathrm du\,\mathrm dv=288\pi

as required.
3 0
4 years ago
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