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emmainna [20.7K]
3 years ago
10

Formula to calculate variance​

Mathematics
1 answer:
finlep [7]3 years ago
8 0

Answer:

sample variance

the value of the one observation

the mean value of all observations

the number of observations

Step-by-step explanation:

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mart [117]

5/12 is the simplest form that it can be simplified to.

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4 years ago
) Set up a double integral for calculating the flux of F=3xi+yj+zk through the part of the surface z=−5x−2y+2 above the triangle
Fynjy0 [20]

The surface (call it S) is a triangle with vertices at the points

x=0,y=0\implies z=2\implies(0,0,2)

x=0,y=2\implies z=-2\implies(0,2,-2)

x=2,y=0\implies z=-8\implies(2,0,-8)

Parameterize S by

\vec s(u,v)=(1-v)(2,0,-8)+v\bigg((1-u)(0,2,-2)+u(0,0,2)\bigg)=(2-2v,2v-2uv,-8+6v+4uv)

with 0\le u\le1 and 0\le v\le1. Take the normal vector to S to be

\vec s_v\times\vec s_u=(20v,8v,4v)

Then the flux of \vec F across S is

\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\int_0^1\int_0^1\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_v\times\vec s_u)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^1\int_0^1(6-6v,2v-2uv,-8+6v+4uv)\cdot(20v,8v,4v)\,\mathrm du\,\mathrm dv

=\displaystyle8\int_0^1\int_0^1(11v-10v^2)\,\mathrm du\,\mathrm dv=\boxed{\frac{52}3}

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3 years ago
Three cylinders have bases that are the
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SA: 2pi (r^2)+2pi(r)(h)
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b) 6.5cm
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2pi (3.183)+2pi(1.784)(9.4)=125.366cm^2
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3 years ago
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yKpoI14uk [10]

5*9*10= Surface Area

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3 years ago
Anything will help please
svp [43]

The way that I memorised how to do sin, cos, and tan is by the following: SOH, CAH, TOA

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TOA = Tan is OPPOSITE / ADJACENT

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Sin T = 6 root 2 / 19

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Tan T = 6 root 2 / 17

Repeat the steps for question 6

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for example on question 7, to find the angle x they have given you the hypotenuse and the adjacent side so

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