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aleksklad [387]
3 years ago
7

A watch company is developing packaging for its new watch. The designer uses hexagons with a base area of 25 in squared and rect

angles with a length of 10 in to create a prototype for the new package. What is the volume of the prototype?
How do I set this up?
Mathematics
2 answers:
WARRIOR [948]3 years ago
7 0

Answer:

The volume of the prototype is V=250\ in^{3}

Step-by-step explanation:

we know that

The volume of a hexagonal prism is equal to

V=BH

where

B is the area of the hexagonal base

H is the length of the rectangular face

we have

B=25\ in^{2}

H=10\ in

substitute

V=(25)(10)

V=250\ in^{3}

AlexFokin [52]3 years ago
7 0

Answer:

Volume of the prototype is 250 in.³

Step-by-step explanation:

Given:

Base area of the watch packaging case = 25 in.²

Length of the rectangle on the side = 10 in.

To find: Volume of the packaging prototype.

Prototype of the packaging of the watch is in shape of prism whose base is a hexagon and sides are in shape of rectangle.

So, Volume of the prism = Base Area × Height

Thus, Volume of the Prototype = 25 × 10

                                                   = 250 in.³

Therefore, Volume of the prototype is 250 in.³

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

Answer:

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

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:

4 0
2 years ago
Read 2 more answers
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