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Andre45 [30]
3 years ago
5

The radii of Earth and Pluto are 6,371 kilometers and 1,161 kilometers, respectively. Approximately how many spheres the size of

Pluto does it take to have the same volume as Earth?
Mathematics
2 answers:
Alenkinab [10]3 years ago
8 0

Answer:

plato is 165.2

Step-by-step explanation:

antoniya [11.8K]3 years ago
4 0
The volume of a sphere is (4/3) (pi) (radius cubed).

The volume of one sphere divided by the volume of another one is

 (4/3) (pi) (radius-A)³ / (4/3) (pi) (radius-B)³

Divide top and bottom by (4/3) (pi) and you have     (radius-A)³ / (radius-B)³
and that's exactly the same as
                                                         ( radius-A / radius-B )  cubed.

I went through all of that to show you that the ratio of the volumes of two spheres
is the cube of the ratio of their radii.

Earth radius = 6,371 km
Pluto radius = 1,161 km

Ratio of their radii = (6,371 km) / (1,161 km)

Ratio of their volumes =  ( 6,371 / 1,161 ) cubed = about <u>165.2</u>

Note: 
I don't like the language of the question where it asks "How many spheres...".
This seems to be asking how many solid cue balls the size of Pluto could be
packed into a shell the size of the Earth, and that's not a simple solution.
The solution I have here is simply the ratio of volumes ... how many Plutos
can fit into a hollow Earth if the Plutos are melted and poured into the shell.
That's a different question, and a lot easier than dealing with solid cue balls.
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A certain virus infects one in every 300 people. A test used to detect the virus in a person is positive 90​% of the time when t
garik1379 [7]

Answer:

a)  P[A/B] = 0,019     or     P[A/B] = 1,9 %

b)  P[A- /B-] = 0,9996       or    P[A- /B-] = 99,96 %

Step-by-step explanation:

Bayes Theorem :

P[A/B]  =  P(A) * P[B/A] / P(B)

The branches of events are as follows

Condition 1        real infection     1/300        and     not infection  299/300

Then

1.-    1/300      299/300

When the test is done   (virus present)  0,9 (+)    0,15 (-)

2.-   299/300

When the test is done  ( no virus )   0,15  (+)     0,85 (-)

Then:

P(A) = event person infected          P(B)  =  person test positive

a) P[A/B]  = P(A) * P[B/A] / P(B)

where   P(A)  = 1/300  =   0,0033   P[B/A] = 0,9    

Then P(A) * P[B/A] =  0,0033*0,9  =  0,00297

P(B)   is    ( 1/300 )*0,9  +  (299/300)*0,15

P(B) = 0,0033*0,9 + 0,9966*0,15    ⇒  P(B) = 0,1524

Finally

P[A/B] =  0,00297 /0,1524

P[A/B] = 0,019     or     P[A/B] = 1,9 %

b) Following sames steps:

P[A- /B-] = (299/300) * 0,85  / (299/300) * 0,85 + (1/300 * 0,1)

P[A- /B-] = 0,8471 /0,8474

P[A- /B-] = 0,9996       or    P[A- /B-] = 99,96 %

6 0
3 years ago
Help picture below problem 11
Elden [556K]

Answer:

B) angle B

Step-by-step explanation:

Since the question is telling you that both the triangles are essentially the same, you just have to look to see which letter of triangle ABC is in the same general place as triangle DEF.

In this case angle B is in the same general spot as angle E, so therefore B is your answer.

Hope this helps you :)

6 0
2 years ago
On a number line is 2.06 or 2.6 farther to the left
mel-nik [20]
2.06 because the lower the number, the further left it will be on a number line
7 0
3 years ago
I need help solving number 17.
melisa1 [442]
Let x = amount of sales (in dollars)

The salary is $400 and there's an additional 0.06x dollars added on to get to the goal of 790. The equation is therefore

<span>400+0.06x = 790
</span>
Let's solve for x

400+0.06x = 790
<span>400+0.06x-400 = 790-400
</span>0.06x = 390
0.06x/0.06 = 390/0.06
x = 6500

The final answer is 6500

This means he must have $6,500 in sales. 
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Answer:

i dont know

Step-by-step explanation:

XD like am i supposed to jknow that?

8 0
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