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4 years ago

Please answer correctly!!!!!

Mathematics

2 answers:

AnnZ [28]4 years ago

4 0

The top number is 4 and t =1, so you need to replace t with 1, find the answer, then replace t with 2 through 4, then find the sum of all of them:

6^1-1 = 6^0 = 1

6^2-1 = 6^1 = 6

6^3-1 - 6^2 = 36

6^4-1 = 6^3 = 216

Sum = 1 + 6 + 36 + 216 = 259

The answer is B.

VashaNatasha [74]4 years ago

4 0

Answer:

B 259

Step-by-step explanation:

The sum is 4 terms, so we need to add the 4 terms

Term 1: 6 ^ (1-1) = 6^0 = 1

Term 2: 6^ (2-1) = 6^1 = 6

Term 3: 6^ (3-1) = 6^2 = 36

Term 4: 6^ (4-1) = 6^3 =216

The sum is 1+6+36+216 = 259

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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

lara31 [8.8K]

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;

P(K = x) = C(n, k)•p^(k)•(1 - p)^(n - k)

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)

P(x = 10) = 0.0009765625

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

Now, the probability for the different bits is independent, so we can use multiplication rule for independent events which gives;

P(x = 10) = P((x_1) = 1)•P((x_2) = 1)•P((x_3) = 1)••P((x_4) = 1)•P((x_5) = 1)•P((x_6) = 1)•P((x_7) = 1)•P((x_8) = 1)•P((x_9) = 1)•P((x_10) = 1)

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))]

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3 years ago

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hram777 [196]

Answer:

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Step-by-step explanation:

* Lets revise the complex number in Cartesian form and polar form

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- r² = a² + b²

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3 years ago

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garri49 [273]

Answer:

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Step-by-step explanation:

* Lets explain how to solve the problem

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3 years ago