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nadya68 [22]
3 years ago
13

A five-question multiple-choice quiz has five choices for each answer. Use the random number table provided, with 0’s representi

ng incorrect answers and 1’s representing correct answers, to answer the following question: What is the probability of correctly guessing at random exactly five correct answers? Round your answer to the nearest whole number. 45% 5% 15% 75%
Mathematics
1 answer:
ElenaW [278]3 years ago
5 0

Answer:

45%

Step-by-step explanation:

i believe it to be true

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-12 + (-3) • 3 - 8 = 4​
mestny [16]

Answer:- 29

false

Step-by-step explanation:

4 0
4 years ago
A right prism with rhombus bases is shown. The side length of each rhombus is 5 units. The height of the prism is 16 units. The
Papessa [141]
Volume of the prism:
V = B · h, where B stays for the area of the base and h stays for the height of the prism. And we know that d1 = 8, d2 = 6
B = ( d1 · d2 ) / 2 = ( 8 · 6 ) / 2 = 48 / 2 = 24
V = 24 · 16  = 384
Answer:
The volume of the prism is 384 cubic units.

5 0
3 years ago
Read 2 more answers
Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of
tresset_1 [31]

Because I've gone ahead with trying to parameterize S directly and learned the hard way that the resulting integral is large and annoying to work with, I'll propose a less direct approach.

Rather than compute the surface integral over S straight away, let's close off the hemisphere with the disk D of radius 9 centered at the origin and coincident with the plane y=0. Then by the divergence theorem, since the region S\cup D is closed, we have

\displaystyle\iint_{S\cup D}\vec F\cdot\mathrm d\vec S=\iiint_R(\nabla\cdot\vec F)\,\mathrm dV

where R is the interior of S\cup D. \vec F has divergence

\nabla\cdot\vec F(x,y,z)=\dfrac{\partial(xz)}{\partial x}+\dfrac{\partial(x)}{\partial y}+\dfrac{\partial(y)}{\partial z}=z

so the flux over the closed region is

\displaystyle\iiint_Rz\,\mathrm dV=\int_0^\pi\int_0^\pi\int_0^9\rho^3\cos\varphi\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=0

The total flux over the closed surface is equal to the flux over its component surfaces, so we have

\displaystyle\iint_{S\cup D}\vec F\cdot\mathrm d\vec S=\iint_S\vec F\cdot\mathrm d\vec S+\iint_D\vec F\cdot\mathrm d\vec S=0

\implies\boxed{\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=-\iint_D\vec F\cdot\mathrm d\vec S}

Parameterize D by

\vec s(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec k

with 0\le u\le9 and 0\le v\le2\pi. Take the normal vector to D to be

\vec s_u\times\vec s_v=-u\,\vec\jmath

Then the flux of \vec F across S is

\displaystyle\iint_D\vec F\cdot\mathrm d\vec S=\int_0^{2\pi}\int_0^9\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_u\times\vec s_v)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^{2\pi}\int_0^9(u^2\cos v\sin v\,\vec\imath+u\cos v\,\vec\jmath)\cdot(-u\,\vec\jmath)\,\mathrm du\,\mathrm dv

=\displaystyle-\int_0^{2\pi}\int_0^9u^2\cos v\,\mathrm du\,\mathrm dv=0

\implies\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=\boxed{0}

8 0
3 years ago
Carman spent 42$ on 6 hats how much did each hat cost. Its for my sisters elementary school class and i dont even know the awnse
Travka [436]

Answer: 7

Step-by-step explanation:

Step 1: Since it is asking how much each hat costed. We would divide.

             42$ divide 6 = 7$ per hat


8 0
3 years ago
a 3-year lease costs $324 a month and a 2-year lease costs $392 a month for the same car. On the lease signing date Matt Grove m
asambeis [7]
The more expensive plan is the 3 year plan. He should expect to pay 306 a per month with would be 3682 (if I’m right) sorry about the other person I reported their answer
4 0
3 years ago
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