A system in a noisy environment transmits 11111 or 00000 when 1 or 0 are transmitted to decrease the probability of error. Suppose the probability that one of the 5 transmitted bits is corrupted from 1 to 0 is 0.3 and the probability that a bit is corrupted from 0 to 1 is 0.1. Given that the probability that the system transmits a 0 or a 1 is equally likely, if 01101 was received what is the probability that a 1 was transmitted.

Answers

Answer 1
Answer:

Answer: The probability that a 1 was transmitted is (0.3)²(0.7)³ which = 0.031

Step-by-step explanation:

The attachment below simply explains how to solve it using Bayer's rule


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The inner and outer Radii of a cylindrical pipe are 5 cm and 4 cm respectively. find the area of cross section of the pipe. 
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A bathtub can hold a maximum of 50 gallons of water. Water can be drained out of the tub at a rate of 2 gallons per minute. If the tub is initially completely filled by a faucet at a rate of 1 gallon per minute, how long will it take to drain the full tub if the drain is opened but the faucet is kept on?

Answers

Answer:

50 minutes

Step-by-step explanation:

Given,

Water can be drained out of the tub at a rate of 2 gallons per minute,

So, the drained water in 1 minute = 2 gallon,

That is, change in 1 minute = -2 gallon

( negative sign shows losing water)

Also, it is filled by a faucet at a rate of 1 gallon per minute,

So, the filled water in 1 minute = 1 gallon,

That is, change in 1 minute = + 1 gallon

( Positive sign shows additional water ),

Thus, total change in 1 minute = -2 + 1 = -1 gallon,

Let x be the time after which the bathtub will be emptied completely,

Total change in x minutes = -x gallon,

Bathtub will be emptied, if,

Initial volume of water + total change in water = 0

50 - x = 0  ( given volume of tub is 50 gallon )

\implies x = 50

Hence, it will take 50 minutes to drain the full tub.

Which equation is y = 2x² – 8x + 9 rewritten in vertex form? A. y = 2(x – 2)² + 9 B. y = 2(x – 2)² + 5 C. y = 2(x – 2)² + 1 D. y = 2(x – 2)² + 17

Answers

The equation y = 2x² – 8x + 9 can be rewritten as y = 2(x – 2)² + 1.To further simplify this equation, you can factor out the 2 from the front to give y = 2(x – 2)(x – 2) + 1. This makes the equation simpler to manipulate and solve for x.

Now, we need to set the equation equal to zero to find the x-intercepts. When y = 0, we have 0 = 2(x – 2)(x – 2) + 1 which can be rewritten as 0 = (x – 2)(x – 2).

To solve this equation, we need to find the roots, or solutions, of the equation. Using the Quadratic Formula, the roots are going to be x = 2 ± √(2² – 4(2)(1)) / 2(2)

This simplifies as x = 2 ± √2 / 4, so our two x-intercepts are x = 0.5 and x = 3.5.

The graph of y = 2(x – 2)² + 1 will have x-intercepts at (0.5, 0) and (3.5, 0). Therefore, the points of intersection of the graph of y = 2(x – 2)² + 1 and the x-axis are (0.5, 0) and (3.5, 0).

Justin can read a textbook at a speed of 40 pages per hour. If he's reading a textbook chapter that has 125 pages, how long will it take Justin to finish his reading

Answers

     3,125
------------
 125   : 40
-120
-------
   250
  -240
  -------
     100
   -   80
  --------
      200
    - 200
      ------
          0
read a Chapter books in 3 1/8 hours
3hours and 7.5minutes125/ 40=3r560/40=1.51.5x5=7.5 mins

For the investment with interest compounded annually, find the final balance using the formula A = P(1 + r)t $5000 for 5 years at 3.2%

A.
$5160.00

B.
$5852.86

C.
$20,037.32

D.
$25,800.00
Question Resources

Answers

B.
$5852.86

Working;
A = P(1 + r)^t
A=5000(1+
(3.2)/(100))^5
A=5852.86

A rectangular playground has an area of 3,392 square meters. if the width of the rectangle is 32 meters.find the lenth

Answers

The length of the rectangle is 106 meters.

Further explanation

A rectangle is a quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, because equiangular means that all of its angles are equal. A rectangle can also be defined as a parallelogram containing a right angle.

Whereas the square metre (or square meter) is the SI derived unit of area thar has a symbol sq.m

Length is describes how long something is, while width is describing how wide an object is. It also defined that length pertains to the longest side of the rectangle while width is the shorter side

A rectangular playground has an area of 3,392 square meters. If the width of the rectangle is 32 meters, find the length.

By dividing area of rectangular playground by the width of the rectangle we get:

Length * Width = Area\nLength = (Area)/(Width)

Length = (3,392 square meters)/(32 meters) = 106 meter

Hope it helps!

Learn more

  1. Learn more about the width brainly.com/question/9312670
  2. Learn more about  the rectangle brainly.com/question/628263
  3. Learn more about A rectangular playground brainly.com/question/11834640

Answer details

Grade: 5

Subject:  math

Chapter:  the length

Keywords:    the rectangle, A rectangular playground, the width, square meters, the length

The length of the rectangle would be 106. What you would do is divide the area into the width because to find the area of a rectangle you would do length times width.
Hope this helps! (:

180 euros to exchange rate 1.2 to the pound

Answers

Your answer is 138.61440

Hope this helps.