Suppose that X and Y are the sampled values of two different audio signals. The mean and variance of an audio signal are uninteresting: the mean tells you the bias voltage of the microphone, and the variance tells you the signal loudness. For this reason, the audio signals X and Y are pre-normalized so that E[X] = E[Y] = 0 and Var(X) = Var(Y) = 1. An audio signal Z is said to be "spiky" if P{|Z| > 302} > 0.01, i.e., one-in-hundred samples has a large amplitude. (a) Suppose that X is a uniformly distributed random variable, scaled so that it has zero mean and unit variance. (1) What is P{|X|> ox}? (2) What is P{[X] > 30x}? (3) Is X spiky? Be sure to consider both positive and negative values of X. (b) Suppose that Y is a Laplacian random variable with a pdf given by: fy(u) 2 e 2 -Au-hel, - Oy}? (2) What is P{İY| > 30y}? (3) Is Y spiky? Be sure to consider both positive and negative values of Y.

The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

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Answer:

29 feet in length, 5 feet in width and 12 feet in height

Step-by-step explanation:

We have that for the volume of a quadrangular prism is:

V = l * w * h

Ie length times width times height

In this case, the height is determined by the squares that you put in each corner, taking into account that a square has all the same sides, the height is 12 inches. h = 12

they tell us that the length is 24 inches more than the width, that is, l = 24 + w

replacing we have:

1740 = (24 + w) * w * 12

1740 = 12 * w ^ 2 + 288 * w

12 * w ^ 2 + 288 * w - 1740 = 0

if we calculate the root, we have w = 5 or w = -29

only works when w = 5

Thus:

l = 24 + 5

l = 29

which means that the dimensions are:

29 feet in length, 5 feet in width and 12 feet in height

29 feet in length, 5 feet in width and 12 feet in height

The volume of a quadrangular prism is:

\(V = l \times w \times h\)

The length is 24 inches more than the width,

So l = 24 + w

Now

\(1740 = (24 + w) \times w \times 12\\\\1740 = 12 \times w ^ 2 + 288 \times w\\\\12 \times w ^ 2 + 288 \times w - 1740 = 0\)

if we calculate the root, we have w = 5 or w = -29

only works when w = 5

So,

l = 24 + 5

l = 29

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The Texas Bill of Rights differs from the U.S. Bill of Rights in several aspects. Firstly, it is a separate document from the Texas Constitution. Secondly, it does not specifically list protections for individuals accused of committing a crime. Thirdly, the Texas Bill of Rights is shorter than the federal Bill of Rights, consisting of only three protections. Lastly, it grants rights and protections that are not present in the U.S. Bill of Rights.

The Texas Bill of Rights is an independent document that stands apart from the Texas Constitution. It outlines the fundamental rights and protections afforded to individuals in the state of Texas. Unlike the U.S. Bill of Rights, which includes specific protections for those accused of committing a crime, the Texas Bill of Rights does not list such provisions. It is relatively concise compared to the federal Bill of Rights, focusing on three key protections. Additionally, the Texas Bill of Rights may include rights and safeguards that go beyond what is covered in the U.S. Bill of Rights, reflecting the unique legal framework and history of Texas.

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Answer:

The answer is a functun only hope this helps

Step-by-step explanation:

Answer:

both a relation and a function

Step-by-step explanation:

Pspears993 got the right answer

Answer:

I need some more detail on character can you remember?

Step-by-step explanation:

Answer:

i think it is The Goldfinch

Step-by-step explanation:

pretty sure that is right...

Answer: (-8, -4)

Step-by-step explanation:

The definition and explanation of an equation are given below with an example.

in mathematics, an equation is defined as an expression that expresses equality between 2 quantities or expressions. We use equations quite a lot in our daily lives whenever we have to equate two quantities and find out how they are equal. These are used in all branches of science because of the huge purpose they serve.

in simple words it tells what we have on the Left-Hand Side of the "=" sign is the same as what we have on the right-hand side of the statement. Some examples of equations are-

E²=m²c⁴+p²c²

x²+3x-1=0

70 oranges= 7 oranges × 10 oranges

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Answer: reflection over x-axis, 3 units up

Step-by-step explanation:

In regression analysis, the variable that is used to explain the change in the outcome of an experiment, or some natural process, is called independent variable

It is a branch of mathematics that deals with the occurrence of a random event.

The variable that is used to explain the change in the outcome of an experiment or some natural process in regression analysis is called the independent variable or predictor variable.

This variable is used to predict or explain the values of the dependent variable, which is the outcome variable being studied.

In other words, the independent variable is the variable that is manipulated or controlled by the experimenter or researcher, and its effect on the dependent variable is measured.

Hence, in regression analysis, the variable that is used to explain the change in the outcome of an experiment, or some natural process, is called independent variable

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The solution is, Dependent variable.

A variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. The letters x, y, and z are common generic symbols used for variables.

The outcome variable (usually Y) in a regression analysis is called the

c) dependent variable

as, we know,

If there are two variables and there is a linear correlation between them we try to find the regression line by using least squares method.

X the variable which is input or which is first found out is called independent variable.

The outcome variable is the dependent variable

Dummy variable is one which takes only values 0 or 1 depending on whether not present or present.

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Answer:

n^2 + 3.

Step-by-step explanation:

4 7 12 19

Differences are 3 5 7   so this a quadratic sequence.

2nd difference = 2 2

So the first part of the expression is n^2

Terms:  4  7  12  19

n^2       1    4   9  16

Difference = 3 3 3 3 3

So the answer is n^2 + 3.

Answer: 1.  w=-30%

              2.   c=361

Step-by-step explanation: 1.    15+15=30       2.      a looks the same size as c so c is 361 or same as a

Answer:

20h + 2g

Step-by-step explanation:

8+12=20

-6+8=2

Answer : 20h + 2g

Just combine like terms

(8h + 12h) + (-6g + 8g)

20h + 2g

Answer:

112 miles

Step-by-step explanation:

1 inch is the distance on the map but in reality it represents 8 miles. if there are 14 inches and there is 8 miles per inch, use 14×8 to find the answer, producing 112.

An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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Answer:

5y + 7

Step-by-step explanation:

Given:

Seeds planted in one garden = y vegetable seeds

Seeds planted in another garden =  4y + 7 vegetable seeds

To Find:

The number of seeds Val is going to plant = ?

Solution:

Let the total number of seeds that Val is going to plant be x.

Then

x =  number of seeds planted in garden one +  number of seeds planted in the other garden

Now substitute the values, we get

x = y + (4y+7)

x = 5y + 7

Answer:

1/8 as a fraction

Step-by-step explanation:

Answer: mixed number:0 1/8 or just 1/8

Step-by-step explanation:

The expression that can be used to find profit is 20x – 50 and that profit when 75 pairs of jeans are sold is 1,450.

Let R represents the revenue function and C represents the cost function, the two functions can be stated correctly as follows:

R = 2x^2+17x−175

C = 2x^2−3x−125

Let P represents the expression that can be used to find profit, we therefore have:

P = R – C

P = 2x^2+17x−175 – (2x^2−3x−125)

P = 2x^2+17x−175 – 2x^2 + 3x + 125

P = 2x^2 – 2x^2 + 17x + 3x – 175 + 125

P = 20x – 50

The profit when 75 pairs of jeans are sold can therefore be calculated as follows:

P = (20 * 75) – 50

P = 1,450

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Answer:

−q+48.929073

Step-by-step explanation:

Let's simplify step-by-step.

4/5 ((20)(2.718282)−5q)−19

(−27q+(−18)(2.718282))

Distribute:

=(4/5)((20)(2.718282))+(4/5)(−5q)+3q+5.436564

=43.492509+−4q+3q+5.436564

Combine Like Terms:

=43.492509+−4q+3q+5.436564

=(−4q+3q)+(43.492509+5.436564)

=−q+48.929073

The length of the side included between the angles A = 30° and B = 80° is :

AC = 11.2 centimeters.

To solve this problem, we need to use the formula for the area of a triangle:
A = (1/2)bh

where A is the area, b is the length of the base, and h is the height.

Let's label the triangle ABC, where angle A = 30° and angle B = 80°. We want to find the length of the side AC, which is the base of the triangle.

First, we need to find the height of the triangle. We can use the sine function to do this:

sin(80°) = h/AC

Rearranging this equation, we get:

h = AC * sin(80°)

Now we can substitute this into the formula for the area of a triangle:

50 = (1/2) * AC * h
50 = (1/2) * AC * (AC * sin(80°))
100 = AC^2 * sin(80°)
AC = sqrt(100/sin(80°))
AC ≈ 11.2 cm

So the length of the side AC is approximately 11.2 centimeters.

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Answer:

Step-by-step explanation:

(D)

Answer:

Step-by-step explanation:

It would be D because it is only providing facts without any additional descriptive words suggesting something

Answer: A-We looked up the Z Score for 1.76 in our Normal Distribution Tables with Z Scores so you don't have to!

First, note that a Z Score of 1.76 means that your statistic is 1.76 standard deviation to the right of the mean on a bell curve. Here is a Bell Curve so you can visualize where 1.76 is on a bell curv

B-The numerical value of 1290 in Chaldean Numerology is: 0. Pythagorean Numerology. The numerical value of 1290 in Pythagorean Numerology is: 0

C-Since 2^10 is the same as 2^5 * 2^5 he was just breaking it down into something easier to calculate to verify that he had the right answer for 2^10 before working the rest of the equation.

Step-by-step explanation:

To use synthetic division to find (x2+3x–5)÷(x+5), we need to set up the division problem as follows:

-5 | 1  3  -5
  |    -5  10
  --------------
    1 -2   5/ (the answer)

Explanation:
The first row of numbers represents the coefficients of the dividend, x2+3x–5, in descending order of degree. The second row represents the divisor, x+5, with only the constant term (-5) written. The numbers in the third row are the intermediate results of the division.

To begin the synthetic division, we bring down the first coefficient (1) from the dividend to the bottom row. Then, we multiply the divisor (-5) by this number and write the result (-5) below the next coefficient (3) of the dividend. We add these two numbers to get -2, which we write in the bottom row.

Next, we multiply the divisor by the new number in the bottom row (-2) and write the result (10) below the last coefficient (-5) of the dividend. We add these two numbers to get 5, which is the remainder. The answer is the quotient in the bottom row, which is x–2 with a remainder of 5. Therefore, (x2+3x–5)÷(x+5) = x–2 + 5/(x+5).

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The manager of a garden shop wants to make a mixture that contains 74% rye grass. The weight of the 60% mixture used in this composition is 30 lb.

Percentage is used to denote a fraction of a hundred.

Suppose q represents the weight of the mix that contains 60% rye grass, then the weight of rye grass in this mix is:

w1 = 60% q = 0.6 q

Mix 2: 70 lb grass seed that contains 80% rye grass. The weight of rye grass in the second mix is:

w1 = 80% x 70 = 56 lb

The final mixture has 74% rye grass. Total weight of rye grass in the final mixture:

weight of rye grass = w1 + w2

                                = 0.6 q + 56

Total weight of the final mixture = (q + 70) lb

74% = 0.74 = (0.6 q + 56) / (q + 70)

0.6 q + 56 = 0.74 (q + 70)

0.74 q - 0.6 q = 56 - 0.74 x 70

0.14 q = 4.2

q = 4.2/0.14 = 30

Hence, the weight of 60% mixture is 30 lb.

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Answer:

hn

Step-by-step explanation:

The vector equation of the line passing through P(4,3) and Q(1,0) is r = (4 + 3t, 3 + 3t), where t is a parameter.

To find the vector equation of the line passing through points P(4,3) and Q(1,0), we need to determine the direction vector of the line and a point on the line.

The direction vector of the line can be obtained by subtracting the coordinates of one point from the coordinates of the other point. In this case, we can subtract the coordinates of point Q from the coordinates of point P to get the direction vector:

Direction vector = PQ = P - Q = (4, 3) - (1, 0) = (4 - 1, 3 - 0) = (3, 3)

Now, let's choose point P(4,3) as a point on the line.

The vector equation of a line passing through a given point P and with a direction vector d can be written as:

r = P + td

where r is the position vector of any point on the line, t is a parameter, and d is the direction vector.

Substituting the values we have:

r = (4, 3) + t(3, 3)

Expanding the equation:

r = (4 + 3t, 3 + 3t)

Therefore, the vector equation of the line passing through P(4,3) and Q(1,0) is r = (4 + 3t, 3 + 3t), where t is a parameter.

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Answer:

These are the equations

Step-by-step explanation:

Gwen's equation =   x + 10y = 30

Tristan's equation=  x + 15y = 40

Keith's equation =  x + 10y = 30

The expressions given in option A and option C on solving will have same value 3/2 or 1.5.

Numeric values can be obtained through the evaluation of numeric expressions, which consist of a mixture of numeric components including variables, numbers or functions, and operators. A blend of arrays and mathematical operators can be present within an expression to derive a numeric solution.

Now solving numerical expressions in the problem (refer to image attached)

A. \(\frac{1}{6} +(\frac{5}{6}+\frac{3}{6} ) = \frac{1+5+3}{6} = \frac{9}{6} =\frac{3}{2} =1.5\)

B. \(\frac{1}{3}+ \frac{5}{3}+ \frac{2}{3} =\frac{1+5+2}{3} =\frac{9}{3} =3\)

C. \(\frac{3}{5} +(\frac{1}{2} +\frac{2}{5} )=\frac{15}{10} =\frac{3}{2} =1.5\)

D. \(2+\frac{1}{2} =\frac{4+1}{2} =\frac{5}{2} =2.5\)

Hence, expressions in option A and option C have same values

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Answer: x = 12 ft

Step-by-step explanation:

let the erect part of the pole be x

the slanted part of the pole will be 25-x

the ground distance = 5

they form a right triangle

apply Pythagoras theorem

5^2+x^2=(25-x)^2

25+x^2=x^2 - 50x + 625

50x=625-25

50x=600

x=600/50

x=12 feet

The length of flagpole is 12 feet.

The square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.

Given:

height of wooden flagpole = 25 foot

let the broken part be x

and the remaining part be 25-x

base = 5 foot.

Apply Pythagoras theorem,

5²+x²=(25-x)²

25+x²=x² - 50x + 625

50x=625-25

50x=600

x=600/50

x=12 feet

Hence, the length pf flagpole is 12 feet.

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Slope of lines 3x - 5y = 2 and 3x + 5y = -2 are m₁ = 3/5 and m₂ = -3/5 respectively.

The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of the line. The net change in the y coordinate is Δy and the net change in the x coordinate is Δx. Therefore, the change in y-coordinate for a change in x-coordinate can be written as

Line slope is a measure of the steepness or direction of a line in the coordinate plane.  

m = Δy/Δx

where,m is the slope

Given,

equations of the line

3x - 5y = 2

Moving 3x to RHS
-5y = -3x + 2

y = (3/5)x - 2/5

comparing with slope intercept equation of the line y = mx + c

slope m₁ = 3/5

Now, equation

3x + 5y = -2

moving 3x to RHS

5y = -3x - 2

y = (-3/5)x - 2

comparing with slope intercept equation of the line y = mx + c

slope m₂ = -3/5

Hence, m₁ = 3/5 and m₂ = -3/5 are slope of lines 3x - 5y = 2 and 3x + 5y = -2 respectively.

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