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Vlad1618 [11]
2 years ago
3

A simple linear regression was used to predict the score y on a final exam from the score x on the first exam. The slope of the

least squares regression line is 0.75. The standard error of the slope is 0.11 and then sample size is 200. To test the null hypothesis that the slop is zero versus the one-sided alternative that the slope is positive, we use the statistic t =
Mathematics
1 answer:
Gala2k [10]2 years ago
7 0

Answer:

is the answer 259

Step-by-step explanation:

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6x+12
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-12/6
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Evaluate sin(Arcos(-9/√145)).
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Use the fact that \sin x = \sqrt{1-\cos^2 x} to solve it.

\sin(\arccos(-\frac{9}{\sqrt{145}}))=\sqrt{1-\cos^2(\arccos(-\frac{9}{\sqrt{145}}))} =\\= \sqrt{1-(-\frac{9}{\sqrt{145}})^2}=\frac{8}{\sqrt{145}}

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Evaluate ∫SF⃗ ⋅dA⃗ , where F⃗ =(bx/a)i⃗ +(ay/b)j⃗ and S is the elliptic cylinder oriented away from the z-axis, and given by x2/
Norma-Jean [14]

Answer:

Therefore surface integral is \pi(a^2+b^2)c-0-0=\pi(a^2+b^2)c.

Step-by-step explanation:

Given function is,

\vec{F}=\frac{bx}{a}\uvec{i}+\frac{ay}{b}\uvec{j}

To find,

\int\int_{S}\vec{F}dS  

where S=A=surfece of elliptic cylinder we have to apply Divergence theorem so that,

\int\int_{S}\vec{F}dS

=\int\int\int_V\nabla.\vec{F}dV

=\int\int\int_V(\frac{b}{a}+\frac{a}{b})dV  

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=\frac{a^2+b^2}{ab}\times \textit{Volume of the elliptic cylinder}

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  • If unit vector \cap{n} directed in positive (outward) direction then z=c and,

\int\int_{S_1}\vex{F}.dS_1=\int\int_{S_1} . dA      

=\int\int_{S_1}.dA=0

  • If unit vector \cap{n} directed in negative (inward) direction then z=-c and,

\int\int_{S_2}\vex{F}.dS_2=\int\int_{S_2}. -dA      

=\int\int_{S_2}. -dA=0

Therefore surface integral without unit vector of the surface is,

\pi(a^2+b^2)c-0-0=\pi(a^2+b^2)c

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The table shows ordered pairs of the function . What is the value of y when ? A 2-column table with 6 rows. The first column is
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I think it b on edg.

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