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Gwar [14]
3 years ago
10

John has a box that is in the shape of a cube (i.

Mathematics
1 answer:
Artemon [7]3 years ago
5 0
A box (cube) has all equal edges or sides (s), thus the volume (v) of the cube is:
v =  {s}^{3} \\ 27 \:  {in}^{3} =  {s}^{3}  \\  \sqrt{( {s}^{3}) } =  \sqrt{( {27in}^3)}  \\ s = 3 \: in
So since each side or edge around is 3 in, then the length around the square bottom of the box = 4×3 = 12 in
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4 0
2 years ago
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For what percentage of time has life existed on earth (round to the nearest whole number).
abruzzese [7]
This is the concept of arithmetic. To calculate the percentage of time life has existed we proceed as follows;
According to history:
The age of earth is 4.6 billion years
the age of life is as it appeared from unicellular is 3.8 billion years.
thus the percentage of the above will be:
3.8/4.6 x 100
=0.82609x100
=82.609%

6 0
2 years ago
What is the probability of drawing the compliment of a king or a
inna [77]

Answer:

The probability of drawing the compliment of a king or a  queen from a standard deck of playing cards = 0.846

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Let 'S' be the sample space associated with the drawing of a card

n (S) = 52C₁ = 52

Let E₁ be the event of the card drawn being a king

n( E_{1} ) = 4 _{C_{1} }  = 4

Let E₂ be the event of the card drawn being a queen

n( E_{2} ) = 4 _{C_{1} }  = 4

But E₁ and E₂ are mutually exclusive events

since E₁ U E₂ is the event of drawing a king or a queen

<u><em>step(ii):-</em></u>

The probability  of drawing of a king or a  queen from a standard deck of playing cards

P( E₁ U E₂ ) = P(E₁) +P(E₂)

                 = \frac{4}{52} + \frac{4}{52}

P( E₁ U E₂ ) = \frac{8}{52}

<u><em>step(iii):-</em></u>

The probability of drawing the compliment of a king or a  queen from a standard deck of playing cards

P(E_{1}UE_{2})  ^{-} = 1- P(E_{1} U E_{2} )

P(E_{1}UE_{2})  ^{-} = 1- \frac{8}{52}

P(E_{1}UE_{2})  ^{-} = \frac{52-8}{52} = \frac{44}{52} = 0.846

<u><em>Conclusion</em></u>:-

The probability of drawing the compliment of a king or a  queen from a standard deck of playing cards = 0.846

5 0
3 years ago
Write (1/6) to the 3rd power as a product of the same factor.then find the value
Nutka1998 [239]
1/6*1/6*1/6=1/216
I HOPE THIS HELPS!
8 0
3 years ago
a stack of cards is placed next to a ruler, and the height of stack measured to be 3/4inches. how thick is one card
4vir4ik [10]

Total thickness of the stack of cards = 3/4 inch or 0.75 inch

In a full stack of cards, there are 52 cards.

Hence, the thickness of 52 cards = 0.75 inch.

To find the thickness of one card, we divide the total thickness with the total number of cards.

Thickness of one card = \frac{0.75}{52} = 0.014423 inch

1 inch = 2.54 cm

0.014423 inch is approximately equal to 0.34 cm.

Answer = 0.34 cm

7 0
3 years ago
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