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Goryan [66]
3 years ago
12

During math class, Laura stated that the two cylinders shown below have the same volume. Jean interrupted Laura and argued that

the volumes of the two cylinders are different. Their
eacher explained that Laura was correct.

Mathematics
1 answer:
maria [59]3 years ago
5 0

Answer:

3rd option

Step-by-step explanation:

Cavalieri's principle states that two figures which have the same height and  same cross-sectional area have the same volume

the height of the cylinders are both 42

the diameter of both figures is 24 as the diameter of the second cylinder = 12 x 2 = 24

the radius of the cylinders are both equal to 12

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

thus the volumes should be equal

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Answer:

a^2 - b^2

Step-by-step explanation:

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3. a^2 - b^2

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3 years ago
These data represent the volumes in cubic yards of the largest dams in the united states and in South America. Construct a boxpl
Vsevolod [243]

Answer:

Check it below

Step-by-step explanation:

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3 years ago
P(A)* P(B)≠ p(AnB)<br><br> Why does it contain a not equal to sign
RoseWind [281]

Answer:

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Step-by-step explanation:

Conditional probability is the probability of one event occurring  with some relationship to one or more other events

.

P(A|D) is called the "Conditional Probability" of A given D

P(D|A) is called the "Conditional Probability" of D given A

The formula for conditional probability of P(A|D) = P(D∩A)/P(D)

The formula for conditional probability of P(D|A) = P(A∩D)/P(A)

The table

              ↓         ↓       ↓

           :  C     :   D    : Total

→ A      :  6     :    2    :   8

→ B      :  1      :    8    :   9

→Total :  7     :    10  :  17

∵ P(A|D) = P(D∩A)/P(D)

∵ P(D∩A) = 2 ⇒ the common of D and A

- P(D) means total of column D

∵ P(D) = 10

∴ P(A|D) =

∵ P(D|A) = P(A∩D)/P(A)

∵ P(A∩D) = 2 ⇒ the common of A and D

- P(A) means total of row A

∵ P(A) = 8

∴ P(D|A) =

∵ P(A|D) =

∵ P(D|A) =

∵   ≠  

∴ P(A|D) and P(D|A) from the table above are not equal

Step-by-step explanation:

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