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Talja [164]
2 years ago
10

The sum of the series 5(1/2)^i is x/1024 Then x =

Mathematics
2 answers:
Tatiana [17]2 years ago
8 0
I just got this question. I think the answer is 5.
Oksanka [162]2 years ago
7 0

Answer:

The value x is 10240.

Step-by-step explanation:

The sum of the series 5(1/2)^i is x/1024.

The sum of an infinite series a_n=ar^n is

Sum=\frac{a}{1-r}

The given series is

a_i=5(\frac{1}{2})^i

Here, a=5,r=\frac{1}{2}.

The sum of given series is  

Sum=\frac{5}{1-\frac{1}{2}}

\frac{x}{1024}=\frac{5}{\frac{1}{2}}

\frac{x}{1024}=10

x=10240

Therefore value x is 10240.

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A project’s critical path is composed of activities A (variance .33), B (variance .67), C (variance .33), and D (variance .17).
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Answer:

The standard deviation on the critical path = 0.834

Step-by-step explanation:

Variance of activity A (V_{1}) = 0.33

Variance of activity B (V_{2}) = 0.67

Variance of activity C (V_{3}) = 0.33

Variance of activity D (V_{4}) = 0.17

Thus the standard deviation on the critical path (\alpha ^{2}) = V_{1} ^{2} + V^2_{2} +  V^2_{3} + V^2_{4}

                                                                             \alpha ^{2}  = 0.33^{2} + 0.67^{2} + 0.33^{2} + 0.17^{2}

                                                                             \alpha ^{2} = 0.6956

                                                                             \alpha = 0.834

The standard deviation on the critical path = 0.834

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2 years ago
A gas stove that normally sells for $749 is on sale at a 30% discount. What is the sale price of the gas stove
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Usually, the closer to the core of the Earth, the older the fossils. However, in this image, the oldest fossil is closer to the surface.

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Answer:

(1). y = x ~ Exp (1/3).

(2). Check attachment.

(3). EY = 3(1 - e^-2).

(4). Var[y] = 3(1 - e^-2) (1 -3 (1 - e^-2)) - 36e^-2.

Step-by-step explanation:

Kindly check the attachment to aid in understanding the solution to the question.

So, from the question, we given the following parameters or information or data;

(A). The probability in which attempt to establish a video call via some social media app may fail with = 0.1.

(B). " If connection is established and if no connection failure occurs thereafter, then the duration of a typical video call in minutes is an exponential random variable X with E[X] = 3. "

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(1). Hence, for FY(y) = y = x ~ Exp (1/3) for the condition that zero is equal to y = x < 6.

(2). Check attachment.

(3). EY = 3(1 - e^-2).

(4). Var[y] = 3(1 - e^-2) (1 -3 (1 - e^-2)) - 36e^-2.

The condition to follow in order to solve this question is that y = 0 if x ≤ 0, y = x if 0 ≤ x ≤ 6 and y = 6 if x ≥ 6.

8 0
2 years ago
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