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3 years ago

PLEASEE HELP ANYONE

Mathematics

1 answer:

Dvinal [7]3 years ago

8 0

Probability 1st song is sung by female : 55/100 reduces to 11/20
probability 2nd song is sung by a male : 35/100 reduces to 7/20
probability 3rd song is instrumental : 10/100 reduces to 1/10

probability of all 3 events happening : 11/20 * 7/20 * 1/10 = 77/4000

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) 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

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

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

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

8 0

3 years ago

How would you do this, I am very confused

AfilCa [17]

Triangle has a total of 180 degrees

add up all angles
A+B+C = 3x+5+4x-2+2x+6=180
9x=171
x=19

Plug x values into the A , B and C expressions and you get your answers

7 0

3 years ago

Read 2 more answers

Erstand and Find Simple Probability

anygoal [31]

Answer:

P (not white) = 2/3

Step-by-step explanation:

Probability (not white)

No. of non-white marbles / Total marbles
8 + 14 + 10 / 8 + 16 + 14 + 10
32/48
2/3

3 0

2 years ago

Read 2 more answers

Which expression is equivalent to V-80? -4V5 -4V5i 4V5i 4V5

sattari [20]

Answer:

-4v5

Step-by-step explanation:

just a guess

6 0

3 years ago

Find the number that makes the ratio equivalent to 1:6. 9:__

Anarel [89]

Answer: 54

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Explanation:

The first ratio is 1:6. The jump from 1 to 6 has us multiplying the 1 by 6 to get 6.
1*6 = 6
So we follow the same rule of "multiply by 6" to go from 9 to 54 (9*6 = 54)

Or you can use a proportion to get
1/6 = 9/x
1*x = 6*9 ... cross multiply
x = 54
and we get the same answer

6 0

3 years ago