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defon
3 years ago
8

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:

<u>P (not white) = 2/3</u>

Step-by-step explanation:

<u>Probability (not white)</u>

  • No. of non-white marbles / Total marbles
  • 8 + 14 + 10 / 8 + 16 + 14 + 10
  • 32/48
  • <u>2/3</u>
3 0
2 years ago
Read 2 more answers
Which expression is equivalent to V-80?<br> -4V5<br> -4V5i<br> 4V5i<br> 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.<br> 9:__
Anarel [89]
Answer: 54

-------------------------------------------------------------------

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
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