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Strike441 [17]
2 years ago
5

There are 50 roses in a tray. There is at least 1 red rose among any 24 randomly selected roses, and there is 1 white rose among

any 28
randomly selected roses. How many white roses are there? QUICK PLS
Mathematics
1 answer:
VMariaS [17]2 years ago
8 0

So probability of red rose is 1/24

Probability of white rose is 1/28

TOTAL roses= 50

  • P(A)=(1/24)
  • P(B)=1/28=0.035
  • P(AUB)=1/50

P(A$\cap$ B)=1/24+1/28-1/50

  • 175+150-84/4200
  • 241/4200=0.057

So Probability of white is

  • 0.057-0.035
  • 0.022
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Find the volume of the region between the planes x plus y plus 2 z equals 2 and 4 x plus 4 y plus z equals 8 in the first octant
Alex787 [66]

Find the intercepts for both planes.

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

x=y=0\implies 2z=2\implies z=1\implies(0,0,1)

Plane 2, 4<em>x</em> + 4<em>y</em> + <em>z</em> = 8:

y=z=0\implies4x=8\implies x=2\implies(2,0,0)

x=z=0\implies4y=8\impliesy=2\implies(0,2,0)

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Both planes share the same <em>x</em>- and <em>y</em>-intercepts, but the second plane's <em>z</em>-intercept is higher, so Plane 2 acts as the roof of the bounded region.

Meanwhile, in the (<em>x</em>, <em>y</em>)-plane where <em>z</em> = 0, we see the bounded region projects down to the triangle in the first quadrant with legs <em>x</em> = 0, <em>y</em> = 0, and <em>x</em> + <em>y</em> = 2, or <em>y</em> = 2 - <em>x</em>.

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=\displaystyle\int_0^2\left(7-7x+\frac74 x^2\right)\,\mathrm dx=\boxed{\frac{14}3}

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3 years ago
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Answer:

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jeka57 [31]

Answer:

See attachment

Step-by-step explanation:

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The graph is shown in the attachment.

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