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zimovet [89]
3 years ago
12

Two cones have the same radii but one has a height four times larger than the other. How many small cones would be needed in ord

er to have the same volume as the larger cone?
4


8


16


64
Mathematics
1 answer:
hram777 [196]3 years ago
3 0
Since the radius is the same but the height changes, the volume would change by the multiple of the height.
 In this case the volume of the larger cone would be 4 times as large as the smaller cone so you would need 4 small cones
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If x = y + z and x + y =6 and x = 10, then z = _____?
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X+y=6
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Find the probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if:a) a
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Answer:

A) 0.0009765625

B) 0.0060466176

C) 2.7756 x 10^(-17)

Step-by-step explanation:

A) This problem follows a binomial distribution. The number of successes among a fixed number of trials is; n = 10

If a 0 bit and 1 bit are equally likely, then the probability to select in 1 bit is; p = 1/2 = 0.5

Now the definition of binomial probability is given by;

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Now, we want the definition of this probability at k = 10.

Thus;

P(x = 10) = C(10,10)•0.5^(10)•(1 - 0.5)^(10 - 10)

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B) here we are given that p = 0.6 while n remains 10 and k = 10

Thus;

P(x = 10) = C(10,10)•0.6^(10)•(1 - 0.6)^(10 - 10)

P(x=10) = 0.0060466176

C) we are given that;

P((x_i) = 1) = 1/(2^(i))

Where i = 1,2,3.....,n

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This gives;

P(x = 10) = [1/(2^(1))]•[1/(2^(2))]•[1/(2^(3))]•[1/(2^(4))]....•[1/(2^(10))]

This gives;

P(x = 10) = [1/(2^(55))]

P(x = 10) = 2.7756 x 10^(-17)

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3 years ago
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Answer:

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Step-by-step explanation:

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