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prisoha [69]
3 years ago
8

Given a can with a volume of 42 and a diameter of 4, what is the volume of a cone that fits perfectly inside the can? (Hint: onl

y enter numerals in the answer blank). (2 points)
Mathematics
1 answer:
V125BC [204]3 years ago
8 0

Answer:

              \large\boxed{\large\boxed{14 units^3}}

Explanation:

The<em> cone</em> is said to <em>fit perfectly inside the can</em> when the diameter of the cone and its height are equal to those of the can.

The shape of a can can be considered a cylinder.

The<em> volume of a cone that fits into the can</em> is 1/3 the volume of the can.

Thus, the volume of our cone is (1/3) × 42 unit³ = 14 units³

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PSYCHO15rus [73]
5/8 is the answer to this question

5 0
3 years ago
An experiment consists of ranomly drawing three cards in succession without replacement from a standard deck of 52 cards. Let A
nadya68 [22]

Answer:

0.0045248 ;

0.1312218 ;

0.0001809 ;

0.1659729

Step-by-step explanation:

Number of Kings in deck = 4

Total number of cards in deck = 52

Picking without replacement :

A = King on first draw :

P(A) = 4 / 52

A = King on 2nd draw :

P(B) = 3 / 51

A = King on 3rd draw :

P(C) = 2 / 50

1.) P(A n B) = P(A) * P(B)

P(A n B) = 4/52 * 3/51 = 12 / 2652 = 0.0045248

2.) P(A u B) = P(A) + P(B) - P(AnB)

P(AuB) = 4/52 + 3/51 - 0.0045248 = 0.1312218

3.) P(A ∩ B ∩ C) = P(A) * P(B) * P(C)

P(A ∩ B ∩ C) = 4/52 * 3/51 * 2/50 = 0.0001809

4.) P(A U B U C) =

P(A) + P(B) + P(C) - P(AnB) - P(AnC) - P(BnC) - P(AnBnC)

P(AnC) = P(A) * P(C) = 4/52 * 2/50 = 0.0030769

P(BnC) = P(B) * P(C) = 3/51 * 2/50 = 0.0023529

4/52 + 3/51 + 2/50 - 0.0045248 - 0.0030769 - 0.0023529 + 0.0001809 = 0.1659729

6 0
3 years ago
1/3 times 3/4 times 1/3 as a fraction so basically what is 0.08333333333 as a fraction
SpyIntel [72]

Answer:

mark me brainliest

Step-by-step explanation:

To write 0.08333333333 as a fraction you have to write 0.08333333333 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.08333333333 = 0.08333333333/1 = 0.8333333333/10 = 8.333333333/100 = 83.33333333/1000 = 833.3333333/10000 = 8333.333333/100000 = 83333.33333/1000000 = 833333.3333/10000000 = 8333333.333/100000000 = 83333333.33/1000000000 = 833333333.3/10000000000 = 8333333333/100000000000

And finally we have:

0.08333333333 as a fraction equals 8333333333/100000000000

7 0
2 years ago
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for two functions, a(x) and b(x), a statement is made that a(x) = b(x) at x=2. what is definitely true about x=2
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Answer:

Functions a(x) and b(x) intersect each other at x = 2.

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I think x = -12 , if that’s what the questions asking
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