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3 years ago

13

The probability of choosing a green grape out of the bag that contains red and green grapes without looking is StartFraction 11

over 15 EndFraction. Which term best describes this probability?

2 answers:

Natasha2012 [34]3 years ago

7 0

Answer:

its likely

Step-by-step explanation:

it may be uncertian but there are possibilities

emmainna [20.7K]3 years ago

7 0

Answer:

its likely

Step-by-step explanation:

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Can u guys PLEASE do this question.

natali 33 [55]

$4.5\% \: \: of \: 2000$

$\frac{4.5}{100} \times 2000$

$4.5 \times 20 = 90$

<h2>so Bryce get 90 dollars extra for his sale and his monthly salary is 5000 dollars. Therefore he get 5090 dollars in the last of the month as salary. </h2>

7 0

3 years ago

Let f(x,y,z) = ztan-1(y2) i + z3ln(x2 + 1) j + z k. find the flux of f across the part of the paraboloid x2 + y2 + z = 3 that li

Sophie [7]

Consider the closed region $V$ bounded simultaneously by the paraboloid and plane, jointly denoted $S$ . By the divergence theorem,

$\displaystyle\iint_S\mathbf f(x,y,z)\cdot\mathrm dS=\iiint_V\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV$

And since we have

$\nabla\cdot\mathbf f(x,y,z)=1$

the volume integral will be much easier to compute. Converting to cylindrical coordinates, we have

$\displaystyle\iiint_V\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV=\iiint_V\mathrm dV$
$=\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}\int_{z=2}^{z=3-r^2}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle2\pi\int_{r=0}^{r=1}r(3-r^2-2)\,\mathrm dr$
$=\dfrac\pi2$

Then the integral over the paraboloid would be the difference of the integral over the total surface and the integral over the disk. Denoting the disk by $D$ , we have

$\displaystyle\iint_{S-D}\mathbf f\cdot\mathrm dS=\frac\pi2-\iint_D\mathbf f\cdot\mathrm dS$

Parameterize $D$ by

$\mathbf s(u,v)=u\cos v\,\mathbf i+u\sin v\,\mathbf j+2\,\mathbf k$
$\implies\mathbf s_u\times\mathbf s_v=u\,\mathbf k$

which would give a unit normal vector of $\mathbf k$ . However, the divergence theorem requires that the closed surface $S$ be oriented with outward-pointing normal vectors, which means we should instead use $\mathbf s_v\times\mathbf s_u=-u\,\mathbf k$ .

Now,

$\displaystyle\iint_D\mathbf f\cdot\mathrm dS=\int_{u=0}^{u=1}\int_{v=0}^{v=2\pi}\mathbf f(x(u,v),y(u,v),z(u,v))\cdot(-u\,\mathbf k)\,\mathrm dv\,\mathrm du$
$=\displaystyle-4\pi\int_{u=0}^{u=1}u\,\mathrm du$
$=-2\pi$

So, the flux over the paraboloid alone is

$\displaystyle\iint_{S-D}\mathbf f\cdot\mathrm dS=\frac\pi2-(-2\pi)=\dfrac{5\pi}2$

6 0

3 years ago

What is the opposite of 3.75 on a number line?

vodomira [7]

Answer:

-3.75

Step-by-step explanation:

the opposite changes the sign from positive to negative, so the opposite of 3.75 would be -3.75

5 0

3 years ago

Read 2 more answers

PLEASE HELP ! Suppose another company offers a special

kolezko [41]

The special is cheaper than Bella's price. Then the correct option is B.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Suppose another company offers a special banquet price of $4,000 for 150 people.

Then the special is cheaper than Bella's price.

Then the correct option is B.

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

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2 years ago

A rectangular prism with a volume of 5 cubic units is filled with cubes with side lengths of 1/3

pishuonlain [190]

Step-by-step explanation:The volume of each cube = (side)^3 = (1/3)^3 = 1/27 cubic units

The number of cubes that will fill the prism =

Vol of prism 4

__________ = _____ = 4 * 27 = 108 cubes

Vol of cube (1/27)

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3 years ago

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