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Tresset [83]
3 years ago
5

adidas is ready to launch its new shoe line, but needs to determine what color the shoes should be so that customers will actual

ly buy them. Based on shoes sold previously, they can estimate the probability that someone will buy a shoe of a given color. The distribution is shown in the table below
Mathematics
1 answer:
Dmitry [639]3 years ago
7 0

Answer:

Yellow and purple

Step-by-step explanation:

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Evaluate the surface integral. s (x + y + z) ds, s is the parallelogram with parametric equations x = u + v, y = u − v, z = 1 +
Stolb23 [73]
S is given to be parameterized by

\mathbf r(u,v)=\langle x(u,v),y(u,v),z(u,v)\rangle=\langle u+v,u-v,1+2u+v\rangle

with 0\le u\le3 and 0\le v\le2. We have

\mathbf r_u=\langle1,1,2\rangle
\mathbf r_v=\langle1,-1,1\rangle
\mathbf r_u\times\mathbf r_v=\langle3,1,-2\rangle
\left\|\mathbf r_u\times\mathbf r_v\right\|=\sqrt{14}

The surface integral is then

\displaystyle\iint_S(x+y+z)\,\mathrm dS=\iint_S(x(u,v)+y(u,v)+z(u,v))\left\|\mathbf r_u\times\mathbf r_v\right\|\,\mathrm du\,\mathrm dv
=\displaystyle\sqrt{14}\int_{u=0}^{u=3}\int_{v=0}^{v=2}((u+v)+(u-v)+(1+2u+v))\,\mathrm dv\,\mathrm du
=\displaystyle\sqrt{14}\int_{u=0}^{u=3}\int_{v=0}^{v=2}(4u+v+1)\,\mathrm dv\,\mathrm du
=\displaystyle\sqrt{14}\left(8\int_{u=0}^{u=3}u\,\mathrm du+3\int_{v=0}^{v=2}v\,\mathrm dv+6\right)
=\displaystyle\sqrt{14}\left(8\int_{u=0}^{u=3}u\,\mathrm du+3\int_{v=0}^{v=2}v\,\mathrm dv+6\right)
=48\sqrt{14}
4 0
3 years ago
The ratio of two numbers is 3 to 5. Their sum is 136. Find the two numbers. how do I write it into an equation?
kotykmax [81]
3X + 5X = 136
8X = 136
X = 17 
Numbers are 51 and 85
4 0
3 years ago
-2/3f=9.2<br> -1/8n = -2/7 <br> 12/20n = -36/44<br> -64.5g = -25.8 <br> -15/28 = -9/10
user100 [1]

Step-by-step explanation:

-2/3f =9.2

cross multiply

27,6= -2f

divide both sides by 2

f = - 13.8

-1/8n = -2/7

cross multiply

-16 = -7n

divide

n = 2.29

12/20n = -36/44

cross multiply

528 = - 720n

divide

n= -0.733

-64.5g = -25.8

divide both sides by -64.5

g = -0.4

the last one has no variable

5 0
3 years ago
Round 46,750 to the nearest thousand.
Salsk061 [2.6K]

Answer:

47,000

Step-by-step explanation:

6,750 rounds up to 7,000

5 0
2 years ago
Two million three hundred and twenty thousand five hundred and two as a number
dem82 [27]
2,320,502 <=== Two million, three-hundred and twenty thousand five hundred and two
6 0
3 years ago
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