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Dima020 [189]
3 years ago
8

A pyramid is placed inside a prism as shown. The pyramid has the same base area, B, as the prism but half the height, h, of the

prism. Which expression gives the volume of the pyramid?
Mathematics
1 answer:
klemol [59]3 years ago
4 0
The general formula of a pyramid with any base is 1/3 bh where b is the area of the base and h is the height. In this case, the height of the pyramid is said to be twice the height of the prism, h. Hence the area becomes 1/3 b*2h or equal to option A. 2/3 
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Answer:

a. The Venn diagram is explained in the attached word file.

0.61                                    

b. Not independent

Step-by-step explanation:

a. The hypothetical 1000 table for given situation is

                                          Adult(A)        Not Adult (not A)        Total

Travel outside (T)                 610                170                               780

Not Travel outside (not T) 110                110                               220

Total                                 720                280                               1000

P(Adult and travel outside)=P(A and T)=610/1000=0.61

b. Multiplication rule for independent events is

P(A and B)=P(A)*P(B)

P(A and T)=0.61

P(A)*P(T)=0.72*0.78=0.56

As P(A and T) is not equal to P(A)*P(T), so event "being an adult" and "travel outside" are not independent.

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4 0
3 years ago
The complement of an angle is five times the measure of the angle itself find the angle
VladimirAG [237]
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Step-by-step explanation:

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Answer:

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