1- Consider the Gaussian sample distribution f(m)=√2² 1 20² e is the optimal quantization level corresponding to the interval [0, [infinity]]? for -00 ≤ m ≤00. What (10 marks)
Answers
The optimal quantization level corresponding to the interval [0, ∞) is 0.
Gaussian sample distribution\(f(m) = √(2/π) * 1/20² * e^(-m²/20²)\). We need to find the optimal quantization level corresponding to the interval [0, ∞).
Optimal quantization level:
The optimal quantization level is a level where distortion is minimized. The formula for distortion is given by\(d^2 = E[(x - y)^2]\), where x is the original signal and y is the quantized signal.
So, the task here is to minimize the distortion for the given Gaussian sample distribution.
Let's first calculate E[x]:
Given that Gaussian sample distribution f(m) = √(2/π) * 1/20² * e^(-m²/20²).
So,\(E[x] = ∫_{-∞}^{∞} xf(m) dx= ∫_{-∞}^{∞} x * √(2/π) * 1/20² * e^(-m²/20²) dx= 0\)
Hence, E[x] = 0
Now, \(E[x^2] is given by E[x^2] = ∫_{-∞}^{∞} x^2 f(m) dx= ∫_{-∞}^{∞} x^2 * √(2/π) * 1/20² * e^(-m²/20²) dx= 20²/π\)
Hence,\(E[x^2] = 400/π\)
We know that the optimal quantization level Q = E[x]. So, Q = 0
Also, \(σ^2 = E[x^2] - Q^2= 20²/π - 0^2= 400/π\)
Hence, σ^2 = 400/π
Now, ∆ = 2σ/L where\(L = ∞ - 0 = ∞= 2σ/∞= 0\)
Hence, the optimal quantization level corresponding to the interval\([0, ∞)\) is 0.
Therefore, the correct answer is option A.
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1- Consider the Gaussian sample distribution f(m)=√2² 1 20² e is the optimal quantization level corresponding to the interval [0, ∞]? for -00 ≤ m ≤00. What (10 marks)
Related Questions
Order the steps needed to factor - 12a^3b^2 + 18a^2b
Answers
Answer:
12a^3b^2+18a^2b
Step-by-step explanation:
12 3b2+182b
Is this a parallelogram
Answers
Answer:
Yes because the first pare, the one line's are equal to eachother and the second pare, the two lines are equal to eachother
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
because each side is two equal triangles.
Mr. Sen wants to treat a group of friends either to the movies or to a hockey game for his birthday. Both the theater and the hockey team offer group pricing, as shown in the table. Which offers the lesser price per person, the movies or the hockey game? Explain.
Answers
Answer:
there's no numbers to answer this question
Step-by-step explanation:
I apologize but all the information and table is gone there is no way to answer this for you
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
Answers
The two equations that have the same solution as 2.3p - 10.1 = 6.5p - 4 - 0.01p are: 2.3p - 10.1 = 6.49p - 4 and 2.3p - 14.1 = 6.4p - 4.
What is equality property?The addition feature of equality was employed in the aforementioned case to isolate the p word. According to this characteristic, an equation is still valid if the same amount is added to both sides of it. To isolate the p component on one side of the equation 2.3p - 10.1 = 6.49p - 4 in the previous issue, we added 4 to both sides of the equation.
For the given set of equations we can rewrite them as follows:
2.3p - 10.1 = 6.5p - 4 - 0.01p
-10.1 = 4.19p - 4
p = 1.66
The similar solution is obtained for the equation 2.3p - 14.1 = 6.4p - 4.
Hence, the two equations that have the same solution as 2.3p - 10.1 = 6.5p - 4 - 0.01p are: 2.3p - 10.1 = 6.49p - 4 and 2.3p - 14.1 = 6.4p - 4
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Austin graphed the linear function below using a table of values. Which of the following coordinates were included in the table of values? Select all that apply.
(0,5)
(5,-6)
(3,-2)
(2,2)
Answers
Answer: A B C
Step-by-step explanation:
(27/64) to the power of 2/3
Answers
Step-by-step explanation:
(27/64) to the power of 2/3
(3/4)²
9/16
Hope it helps you
Answer:
9/16
Step-by-step explanation:
What is the area of this triangle in the coordinate plane? 5 units 6 units 7 units 12 units?
Answers
Answer:
6 units
Step-by-step explanation:
Using readings taken from the coordinate upon which the triangle is drawn :
The area of triangle is given as :
Area of triangle = 0.5 * base * height
The base of the triangle = 4 units
The height of the triangle = 3 units
The Area of the triangle is thus :
0.5 * 4 * 3
0.5 * 12
= 6 units
Answer:
The area of the given triangle is 6 units²
A house is bought for 20 000 and sold 24 000. What is the percentage profit
Answers
Answer:
20%
Step-by-step explanation:
Profit = 24000 - 20000 = 4000
\(Profit \: percent = \frac{4000 \times 100}{20000} \\ = \frac{400000}{20000} \\ = 20\%\)
a solid box is 1515 cm by 1010 cm by 88 cm. a new solid is formed by removing a cube 33 cm on a side from each corner of this box. what percent of the original volume is removed?
Answers
9% of the volume of the original volume is removed.
Given that the dimensions of solid box is 15 cm by 10 cm by 8 cm.
So the volume of solid box = 15*10*8 cubic cm = 1200 cubic centimeter
The volume of the cube with side 3 cm = 3*3*3 = 27 cubic centimeter
For each corner one cube so the number of cube is 4
So total volume removed = 4*27 = 108 cubic centimeters
The percent of volume is removed = (108/1200)*100% = 9%
Hence the percentage of volume removed is 9%.
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while on a walk in the country, you pass a field full of horses and geese. after a quick count, you determine there are 33 heads and 102 feet in the field. how many of each animal are there?
Answers
The field is full of 18 horses and 15 geese.
Let's assume that there are x horses and y geese in the field. The number of heads can be represented as x + y = 33. The number of feet can be represented as 4x + 2y = 102.
We can use substitution to solve for one variable in terms of the other. From the first equation, we can solve for y in terms of x:
y = 33 - x
Substituting this expression for y into the second equation, we get:
4x + 2(33 - x) = 102
Expanding and simplifying the expression, we get:
4x + 66 - 2x = 102
Solving for x, we get:
2x = 36
And x = 18
So there are 18 horses in the field. Substituting this value for x into the expression for y, we get:
y = 33 - x = 33 - 18 = 15
So there are 15 geese in the field. Thus, the field is full of 18 horses and 15 geese.
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PLS HELP U WILL GET BRAINLIEST AND 15 POINTS !!!!
Answers
Answer:
BCA and DCA are right angles
Step-by-step explanation:
right angles look like L 's
BCA AND DCA!
Step-by-step explanation:
im good at math
(-6 – 2) × (-1* 1) =
Answers
Answer:
8
Step-by-step explanation:
which of the following corresponds to the predictor variable in simple linear regression?
Answers
In simple linear regression, the predictor variable is the independent variable, which is used to predict the value of the dependent variable. It is also referred to as the explanatory variable, as it is used to explain the variability in the response variable.
For example, in a study that examines the relationship between the hours studied and exam scores, the predictor variable is the number of hours studied, and the dependent variable is the exam score.
The predictor variable is plotted on the x-axis, while the dependent variable is plotted on the y-axis in a scatter plot. The relationship between the predictor and the dependent variable is represented by a straight line, which is determined by the regression equation.
The slope of the line represents the change in the dependent variable for each unit change in the predictor variable.
In summary, the predictor variable is the variable that is used to predict or explain the changes in the dependent variable in simple linear regression.
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John wants to rent some office space for 8 years. The lease states that the annual rent is $62,000 for the first year and will increase by 4% each additional year of the lease. What will the total rent be for the entire 8-year lease? Round your answer to the nearest hundredth.
Group of answer choices
$496,000.00
$84,851.28
$571,282.03
$515,840.00
Answers
Answer:
The correct answer is $515,840.00
Step-by-step explanation:
Answer:
The total rent for the entire 8-year lease to the nearest hundredth is $84,851.28.
Step-by-step explanation:
The increment is 4% each year.
What is increment?
Increment is the amount or degree by which something changes especially the amount of positive or negative change in the value of one or more of a set of variables.
What is lease?
A lease is a legal, binding contract outlining the terms under which one party agrees to rent property owned by another party.
What is hundredth?
In arithmetic, a hundredth is a single part of something that has been divided equally into a hundred parts.
We use the formula,
\(A=P(1+\frac{R}{100})^{n}\)
\(=62000(1+\frac{4}{100}))^{8} \\=62000(\frac{104}{100})^{8}\\ =84851.28\)
The total rent for the entire 8-year lease to the nearest hundredth is $84851.28.
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2. Solve the following 10/12 - 4/3
Answers
The answer is \(-\frac{1}{2}\)
First you must change the fractions so that they have like denominators.
\(\frac{10}{12} -\frac{16}{12}\)
Then you subtract the fractions.
\(-\frac{6}{12}\)
Finally, you need to simplify the answer.
\(-\frac{1}{2}\)
Calculate the length of the third side of this triangle. 6 cm, 8 cm
Answers
\(c = \sqrt{a2 + b2} \)
6²-- 8²
18--16
2
Hence the third value 2
Step-by-step explanation:
I think this is a helpful for you
with which measurement procedure is the target behavior recorded if it occurs at any point within the scoring interval?
Answers
If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.
Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.
Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.
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Which of the following is another way to express the difference between -5 and 8?
O-5+8
O-5-(-8)
O-5+(-8)
08-5
Answers
What is the experimental probability that Nathan will spin a B?
0.17
0.29
0.3
0.43
Answers
Answer:
0.3
Step-by-step explanation:
There are 3 B's out of 10 options. 3/10 for that
Answer:
p(B)= no of favorable events for B divided by no of total events
=3/10
=0.3
What does 29% levied on labor mean for an excel calculation? Does this mean subtraction or addition due to the labor cost? Please provide an excel formula for the following.
1. Labor cost = $200 before the 29% levied on labor. How do you calculate the final cost including the labor %?
2. Labor cost = 150 before the 29% levied on labor. How do you calculate the final cost including the labor %?
Answers
Levy means that it is the amount of money charged or collected by the government, in this case, it is a 29% levy on labor. A 29% levy on labor refers to an additional 29% charge on the original labor cost.
This is an added cost that should be considered when calculating the final cost of the project. In an excel calculation, the formula would be:= labor cost + (labor cost * 29%)where labor cost refers to the original cost before the 29% levy was added.
To compute the cost, the original labor cost is multiplied by 29%, and the result is added to the original labor cost.Labor cost = $200 before the 29% levied on labor. How do you calculate the final cost including the labor %?Final cost of including the labor% would be:= $200 + ($200 * 29%)= $258 Labor cost = 150 before the 29% levied on labor. Final cost of including the labor% would be:= $150 + ($150 * 29%)= $193.5Therefore, the final cost including labor percentage for the two questions would be $258 and $193.5 respectively.
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a regular-size box of dog treats measures 314 inches by 712 inches by 12 inches. the manufacturer also sells a small-size box that has a volume that is 310 of the volume of the regular-size box.what is the volume of the small-size box of dog treats?
Answers
The volume of the small-size box of dog treats is 8.07235 cubic inches.
Given that a regular-size box of dog treats measures 3.14 inches by 7.12 inches by 1.2 inches.
We are required to calculate the volume of the small-size box of dog treats.
Let's use the below-given information to calculate the volume of the small-size box of dog treats.
The manufacturer also sells a small-size box that has a volume that is 3/10 of the volume of the regular-size box.
Volume of the regular-size box of dog treats is:
Volume of the regular-size box = length x width x height= 3.14 x 7.12 x 1.2 cubic inches
= 26.90784 cubic inches
Volume of the small-size box = (3/10) x (26.90784)cubic inches
= 8.07235 cubic inches
Therefore, the volume of the small-size box of dog treats is 8.07235 cubic inches.
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Use rounding to estimate the product. 4three-fourths • 7Start Fraction 2 over 17 End Fraction A. about 28 B. about 32 C. about 35 D. about 40
Answers
Answer:
I think the answer is D
Step-by-step explanation:
Find the area of a room that has a length of 3x + 1 and a width of 2x + 3.
Answers
Answer:
6x^2+11x+3
Step-by-step explanation:
Area= Length*Width
Area= (3x+1)(2x+3)
Use method FOIL (Front,Out,In,Last)
(3x*2x)+(3x*3)+(2x*1)+(3*1)
= 6x^2+9x+2x+3
Simplify:
6x^2+11x+3
Guys I need help asap what is half of 45
Answers
WILL GIVE YOU EXTRA POINT BY BRAINLIEST (need help asap THANKS)
Answers
Answer:
7: #3. 8: #2
Step-by-step explanation:
in the first question the format is simply (x, y) and because it is a translation, we are basically just moving the point by these numbers, with this information, it is simply moving x to the left(negative) 8 times, and y(up/positive) 4 times. The next question is simply moving the point across the x axis by the same amount that it is above the x axis, so it would be one down from the x-axis' bold line, or in this case moved 2 y-units down. Hope this helps mate :)
you have $90 to buy balloon for your friend party.the balloons cost $18.what are the possible numbers of balloons that you can buy?
Answers
Answer:
The answer would be 5.
Step-by-step explanation:
If you take away 18 from 90 would be 72.
72 - 18 =54
54 - 18 =36
36 - 18 =18
18 - 18 =0
If you count that would equal 5 .
Hope this helps .
Solve the equation 6 - 6x = 5x - 9x -2
Answers
Answer:
x = 4
Step-by-step explanation:
\(6 - 6x = 5x - 9x - 2\\6 - 6x = - 4x - 2\\- 6x -(-4x)=-2-6\\-2x=-8\\x=-8/-2=4\)
x=4
Explanation:
6+2=5x-9x+6x
8=2x
Joe has a bag of mini candy bars. He has 5 Twix, 9 Kit Kats, 12 Reese's, and 7 Almond Joys. What is the probability that Joe randomly chooses a Reese's, eats it, and then chooses an Almond Joy?
P( Reese's ∩ Almond Joy)=
options:
0.08
0.07
0.12
0.36
Answers
The value of probability P( Reese's ∩ Almond Joy) is,
P( Reese's ∩ Almond Joy) = 0.08
Since, The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
We have to given that;
He has 5 Twix, 9 Kit Kats, 12 Reese's, and 7 Almond Joys.
Hence, Total number of things are,
⇒ 5 + 9 + 12 + 7
⇒ 33
So, Probability to choose Reese's are,
P = 12 / 33
And, Probability for choose Almon Joy are,
P = 7 / 33
Thus, We can formulate;
P( Reese's ∩ Almond Joy) = 12/33 x 7/33
P( Reese's ∩ Almond Joy) = 84 / 1089
P( Reese's ∩ Almond Joy) = 0.08
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I have an unanswered question for 50 points right now it's pretty hard but my brother needs help he is almost in tears please I feel so bad for him
Answers
where is the question
Answer:
hi
Step-by-step explanation:
hi
50 ptssss
what is 2+2
Answers
Answer:
4!!!
Step-by-step explanation:
brainliest please?
Answer:
4
Step-by-step explanation:
I hope this helps!