A white-noise process X(t) with autocorrelation function RX(T) = (σ^2)∂(T) is passed through a linear system whose impulse response h(t) is given by h(t) = (e^-αt)u(t). We want to find the mean value µx of the output, the cross-correlation function Rxy(T), the output autocorrelation function Ry(t), and the variance of the output σ^2y. µx = 0

Answer:

Convergent

Step-by-step explanation:

One method to determine if  \(\displaystyle \sum^\infty_{k=1}ke^{-k^2}\)is convergent or divergent is the Integral Test.

Suppose that the function we use is \(f(x)=xe^{-x^2}\). Over the interval \([1,\infty)\), the function is always positive and continuous, but we also need to make sure it is decreasing before we can proceed with the Integral Test.

The derivative of this function is \(f'(x) = e^{-x^2}(1-2x^2)\), so our critical points will be \(\displaystyle x=\pm\frac{1}{\sqrt{2}}\), but we can drop the negative critical point as we are starting at \(k=1\). Using some test points, we can see that the function increases on the interval \(\bigr[0,\frac{1}{\sqrt{2}}\bigr]\) and decreases on the interval \(\bigr[\frac{1}{\sqrt{2}},\infty\bigr)\). Since the function will eventually decrease, we can go ahead with the Integral Test:

\(\displaystyle \int_{{\,1}}^{{\,\infty }}{{x{{{e}}^{ - {x^2}}}\,dx}} & = \mathop {\lim }\limits_{t \to \infty } \int_{{\,1}}^{{\,t}}{{x{{{e}}^{ - {x^2}}}\,dx}}\hspace{0.5in}u = - {x^2}\\ & = \mathop {\lim }\limits_{t \to \infty } \left. {\left( { - \frac{1}{2}{{{e}}^{ - {x^2}}}} \right)} \right|_1^t\\ & = \mathop {\lim }\limits_{t \to \infty } \left( {-\frac{1}{2}{{e}}^{ - {t^2}}-\biggr(-\frac{1}{2e}\biggr)}} \right) = \frac{1}{2e}\)

Therefore, since the integral is convergent, the series must also be convergent by the Integral Test.

Answer:

One interview, with 6 minutes spare.

Step-by-step explanation:

27/21 is 1 with a remainder of 6

Answer:

Option B is the best way to write the underlined parts of sentences 2 and 3.

Sentence 2: They have a special finish that helps.

Sentence 3: The finish helps the swimmer glide through the water.

Option B provides a clear and concise way to connect the two sentences and convey the idea that the special finish of the swimsuits helps the swimmer glide through the water. It avoids any ambiguity or redundancy in the language.

Knowledge workers use specialized information systems, called kwss, to create information in their area of expertise. The statement is:  b. true

Knowledge workers, such as researchers, analysts, and professionals in various fields, rely on specialized information systems to perform their tasks efficiently. These systems, often referred to as kwss (knowledge work support systems), are designed to facilitate the creation, organization, and dissemination of information within a specific domain or area of expertise.

For example, a scientist may utilize a specialized information system to store and analyze research data, collaborate with colleagues, and publish findings. Similarly, a financial analyst may rely on a kwss to access market data, perform complex calculations, and generate reports.

These specialized information systems typically offer features tailored to the needs of knowledge workers, such as advanced search capabilities, data visualization tools, collaboration functionalities, and workflow management options. They enable knowledge workers to access relevant information quickly, organize and structure their work, and ultimately create valuable insights and solutions in their respective fields.

In summary, knowledge workers do indeed utilize specialized information systems, known as kwss, to support their work and enhance their productivity and effectiveness in generating information within their area of expertise.

To know more about specialized information systems refer here:

https://brainly.com/question/33615838#

#SPJ11

Answer:

The percentage of IQs that would be over 80 is 68%.

Step-by-step explanation:

The percentage of IQs that would be over 80 is 68%.

This is because 68% of the population falls within one standard deviation of the mean on a normal distribution. In this case, the mean is 100 and the standard deviation is 16, so 68% of the population has an IQ between 84 and 116.

The remaining 32% of the population falls outside of one standard deviation of the mean. 16% of the population has an IQ below 84 and 16% of the population has an IQ above 116.

The mean is represented by the dotted line in the center of the graph. The standard deviation is represented by the two dotted lines on either side of the mean. The shaded area represents the 68% of the population that has an IQ between 84 and 116.

Answer:

this is a hard question

Step-by-step explanation:

i dont know

Given:

Fraction of cake left = ¾

Let's find the number of 3/16 size portions of the remaining cake he can share with his family.

To find the amount of 3/16 size portions he can share, divide the remainder by 3/16.

Thus, we have;

To divide the fractions, change the division symbol to multiplication and flip the fraction on the right.

We have:

Therefore, he can share 4 portions of 3/16

ANSWER:

4

Answer: Hi!

Sara had 2/3 of a piece of cake. Jasmine had 2/5 of a piece of cake. How much cake did Sarah and Jasmine have in total?

Hope this helps!

Answer:

If Kaylah had 2/5 of a pizza, and Allia had 2/3 of a pizza how much would they eat together?

Answer:

7 is the y-intercept

slope is 2/1

Step-by-step explanation:

The probability that the next chew Mia will remove from the bag will be pineapple is 5/13

Probability is the likelihood or chance that an event will occur

Probability = Expected outcome/Total outcome

If Mia performs the experiment 65 times of removing a chew from the bag, records the result, the total outcome will be 65

If a pineapple chew was selected 25 times. A lemon chew was selected 14 times. A watermelon chew was selected 26 times, the probability that the next chew Mia will remove from the bag will be pineapple is 25/65

Pr(pineapple will be removed) = 25/65 = 5/13

Learn more here: https://brainly.com/question/13604758

The probability that the next chew Mia removes from the bag will be pineapple chew is 5/13.

Since Mia has a bag that contains pineapple chews, lemon chews, and watermelon chews, and she performs an experiment whereby she randomly removes a chew from the bag, records the result, and returns the chew to the bag, and Mia performs the experiment 65 times, in which a pineapple chew was selected 25 times, a lemon chew was selected 14 times. and a watermelon chew was selected 26 times, for express the probability that the next chew Mia removes from the bag will be pineapple chew the following calculation must be performed:

Therefore, the probability that the next chew Mia removes from the bag will be pineapple chew is 5/13.

Learn more in https://brainly.com/question/11034287

Step-by-step explanation:

Step-by-step explanation:

Let V be the volume of the cone.

The student says that, the volume of a cone with a 4-inch diameter is two times the volume of a cone with the same height and a 2-inch radius.

If diameter is 4 inch, radius = 2 inch

Volume of the cone,

\(V=\dfrac{\pi }{3}\times 2^2\times h\\\\V=\dfrac{4\pi h}{3}\) .......(1)

If radius, r = 2 inch

New volume,

\(V=\dfrac{\pi }{3}\times 2^2\times h\\\\V=\dfrac{4\pi h}{3}\) ....(2)

We can see that the volume in both case is same. Hence, the student is correct.

The set of parametric equations are

\(x=\sqrt{t}\)

\(y=\sqrt{3+t\)

A parametric equation uses a parameter, which is an independent variable (often represented by the notation t), and dependent variables, which are expressed as continuous functions of the parameter and are independent of other variables.

Using one or more independent variables known as parameters, a parametric equation defines a set of quantities as functions.

Given the equation:

\(x= \sqrt[]{y^{2}-3 }\)

Let's find a set of parametric equation for the given equation given the parameter:

\(x = \sqrt{t}\)

From the parameter:

\(x = \sqrt{t}\)

Now, substitute \(\sqrt{t}\) for x in the given equation:

\(x=\sqrt{y^2-3} \\\\\sqrt{t} = \sqrt{y^2 - 3} \\\\t=y^2-3\\\\y^2=3+t\\\\y=\sqrt{3+t}\)

Therefore, the set of parametric equations is:

• \(x=\sqrt{t}\)

• \(y=\sqrt{3+t}\)

To know more about parametric equations, visit:

https://brainly.com/question/28537985

#SPJ1

Answer:

BC || AD and AB || CD (given)

∠BCA ≅ ∠DAC 2. As alt.interior angles with parallel lines

∠BAC ≅ ∠DCA 3. As alt.interior angles with parallel lines

AC ≅ AC (identity)

△ABC ≅ △CDA (ASA)

AB = CD (CPCT C)

Answer:

41 minutes

Explanation:

Consider the diagram below:

The angle between the hour and minute hand = 30°+80°=110°

We determine the time she starts below:

She left home at 7:17 AM.

Next, we determine the time she arrived at school.

This means that she arrived at school at 7:58 AM.

Therefore, the number of minutes she takes to walk to school will be:

It

Answer:

$4.93 cents so round it to $5.00

Step-by-step explanation:

Answer:

160 degrees

Step-by-step explanation:

We can split up the angle into two sections:

One section is the right side which is a right angle so it is 90 degrees. The left side is already given (70 degrees).

So we just add them two together

70+90=160

Answer: m = 4

hope thats right .

Step-by-step explanation:

Answer:

Let

Step-by-step explanation:

Let, (8,12) be (x1 and y1)

(10,20) be (x2 and y2)

We know that,

Slope = y2-y1

-----------.

x2-x1

= 20-12

-----------

10-8

= 8

-------

2

= 4 ans

so, the slope between twoo points is 4

In the subgame perfect equilibrium, Janie should begin by taking three coins.

To determine Janie's optimal move, we need to work backwards from the end of the game. If there is only one coin left on the table, the next player (Jesse) will have to take it and Janie wins. Therefore, Janie's goal is to force the game to end with only one coin remaining.

If Janie takes one or two coins at the beginning, Jesse can always mirror her move and take the remaining coins on his turn, leaving one coin for Janie and guaranteeing his victory. If Janie takes four, five, or six coins, Jesse can simply mirror her move and force Janie to be the one left with one coin.

Janie should take three coins initially. This move forces Jesse into a losing position since he can only take between one and six coins. No matter how many coins Jesse takes, Janie can mirror his move and leave him with one coin on his turn, ensuring her victory in the subgame perfect equilibrium.

Learn more about equilibrium here:

https://brainly.com/question/30694482

#SPJ4

Answer:

There are 2,520 unique permutations.

Step-by-step explanation:

When we have a set of N different elements, the total number of permutations is given by:

P = N! = N*(N - 1)*(N - 2)*...*(2)*(1)

Particularly, if out of these N elements, there are a given element that is repeated K times, then the permutations of these K elements actually do not add new unique permutations, then in that case the total number of unique permutations is:

P = N!/K!

And if we have another element that is repeated L times, then with the same reasoning than above, the total number of unique permutations is:

P = N!/(K!*L!)

Now, we have the set:

{C, E, A, S, E, L, E, S, S}

So we have a set of 9 letters, then:

N = 9

And, the letter S is repeated 3 times

The letter E is repeated 3 times

Then, using the above notation, we can define:

K = 3

L = 3

The total number of permutations is then:

\(P = \frac{9!}{3!*3!} = \frac{9*8*7*6*5*4*3*2*1}{3*2*1*3*2*1} = \frac{9*8*7*6*5*4}{3*2*1} = 2,520\)

So there are 2,520 unique permutations.

Answer:

x≤−9/2 or x>7/4

Step-by-step explanation:

Answer: P ≤ $10

Step-by-step explanation:

You have $18

You want to buy a belt that cost $8, so the money that you have tou buy a pair of jeans is $18 - $8 = $10

This means that we the range of prices P that you can afford is:

P ≤ $10

This means that the price of the jeans can be, at maximum, 10 dollars.

As the side length increases by 1, the area does not increase or decrease by an equal amount.

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface. In general, square units such as square inches, square feet, etc. are used as the standard unit of area.

As shown in the graph, the area values are not constantly increasing or decreasing, at 2 values of side length, area is same, at the side length= 9 inches, there is no area at all..

So,  

As the side length increases by 1, the area does not increase or decrease by an equal amount.

To learn more about the area from the given link

https://brainly.com/question/25292087

#SPJ1

Answer:

The approximate percent would be 25%

Step-by-step explanation:

0.10 > 0.05 is value of p - value of the data .

What does P stand for?

If we use 10% p - value cutoff = 0.10

then as 0.10 > 0.05

reject the null / data is consistent with the alternative hypothesis .

Learn more about P value

brainly.com/question/14790912

#SPJ4

Answer:

Step-by-step explanation:

Negative numbers don't have real square roots since a square is either positive or 0. so it doesn't exist

Answer:

i

Step-by-step explanation:

the square root of  negative one is not real.

It is classed as an imaginary number denoted by  i , that is

\(\sqrt{-1}\) = i