The waiting time W for accessing one record from a computer database is a random variable uniformly distributed between 0 and 20 milliseconds The read time R for moving the information from the disk to the main memory is 5 milliseconds. The random variable X milliseconds is the total access time (waiting time + read time) to get one block of information from the disk. Before performing a certain task, the computer must access 9 different blocks of information from the disk. (Access times for different blocks f one another) The total access time for all the information is a random variable A milliseconds. Compute the following: (a) E[X] = ____________ (b) Var[X] = ____________ (c) E[A] = ____________ (d) σ_A = ____________ Now use the central limit theorem to estimate the following probabilities. (e) P[A> 162] = ____________ (f) P[A < 120] = ____________ To insure that your answers are consistent with the z-table handout, please round z-scores to 2 decimal places. Also, probabilities computed via z-scores should be rounded to 4 decimal places

Answer:

what do u want us to do pls be more clear!

The functions sin and cosine, sometimes known as sin() and cos(), show how a right triangle is shaped. Answer is 8.212°.

The functions sin and cosine, sometimes known as sin() and cos(), show how a right triangle is shaped.

The ratio of the opposite side to the hypotenuse is called sin(), and the ratio of the adjacent side to the hypotenuse is called cos(), when viewed from a vertex with angle.

So, the Pythagorean identity-based formula for sin is sin²x = 1 - cos²x.

Hypotenuse²=base²+perp²

(8)²=(7)²+(perp)²

64=49+(perp)²

64/49=perp²

1.306=perp²

Now taking square root on both sides

Perp=√1.306

Perp=1.142

Sin C=opposite/hypotenuse

Sin =1.142/8

Sin C=0.14285

C=Sin^-1 0.14285

C=8.212°

Answer is 8.212°.

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The solution to the given initial-value problem is y(x) = 3cos(5x) - 5sin(5x).

To solve the given initial-value problem, we start by finding the general solution to the differential equation y'' - 25y = 0. The characteristic equation is obtained by substituting y = e^(rx) into the differential equation, which gives us r^2 - 25 = 0. Solving this quadratic equation, we find two distinct roots: r = 5 and r = -5.

The general solution is then given by y(x) = C1e^(5x) + C2e^(-5x), where C1 and C2 are arbitrary constants. To find the particular solution that satisfies the initial conditions, we substitute y(0) = 3 and y'(0) = -5 into the general solution.

Using y(0) = 3, we have C1 + C2 = 3. Using y'(0) = -5, we have 5C1 - 5C2 = -5. Solving these two equations simultaneously, we find C1 = 3 and C2 = 0.

Therefore, the solution to the initial-value problem is y(x) = 3e^(5x).

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Answer:

60

Step-by-step explanation

Answer:

$60

Step-by-step explanation:

3000 / 50 =60

4020

you're supposed to multiply the length value by 1760

:P

The probability that the number of homicide deaths for a randomly selected day is:

a) 0: 0.18,

b) 1: 0.35,

c) 2: 0.27

The Poisson distribution is used to simulate the likelihood that a certain number of events will occur within a predetermined window of time or space.

In this instance, the Poisson distribution can be used to simulate the number of homicide deaths that occurred in Richmond, Virginia over the course of a year.

The Poisson distribution can be used to determine the likelihood of 0, 1, and 2 homicides happening on any given day.

One homicide occurs on a randomly chosen day with a 0.18 percent chance, one homicide occurs on a randomly chosen day with a 0.35 percent chance, and two homicides occur on a randomly selected day with a 0.27 percent chance.

Complete Question:

In one year, there were 116 homicide deaths in Richmond, Virginia. Using the Poisson distribution, find the probability that the number of homicide deaths for a randomly selected day is:

a) 0

b) 1

c) 2

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A measurable part of a line that consists of two points, called endpoints, and all of the points between them are called Line sigments.

Geometry is a branch of mathematics that deals with how objects can be expressed as relationships of points, lines, planes, surfaces, and dimensions. When we draw lines in geometry, we use an arrow at each end to show that it expands infinitely. A line is a path between two points that can be measured. Since line segments have a defined length, they can form the sides of any polygon. The figure below shows the line AB, where the length of the line AB is related to the distance between its endpoints, A and B. The symbol for the line is named after its two endpoints, e.g.

\( \bar{AB}\)

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A D. simple random sample is a sample in which every member of the population has an equal chance of being chosen.

A. Systematic: In a systematic sample, the population is first ordered or arranged in some systematic way, such as by alphabetical order or numerical sequence. Then, a starting point is randomly selected, and subsequent members are chosen at regular intervals from the ordered list. This method ensures that every member of the population has an equal chance of being selected.

B. Probability: The term "probability sample" is a general concept that encompasses various sampling methods. It refers to any sample in which each member of the population has a known nonzero probability of being selected. Probability sampling methods include simple random sampling, stratified sampling, cluster sampling, and systematic sampling.

C. Stratified: In stratified sampling, the population is divided into distinct subgroups or strata based on specific characteristics or attributes. Then, a random sample is taken from each stratum in proportion to its representation in the overall population. This method ensures that the sample is representative of the population across different subgroups or strata.

D. Simple random: A simple random sample is a sampling method where each member of the population has an equal and independent chance of being selected. It involves selecting individuals randomly and without any specific pattern or grouping. This method ensures that each member of the population has an equal probability of being chosen, leading to unbiased estimates and generalizability to the larger population.

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The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

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Answer:

Step-by-step explanation:

The report highlights that organization is able to maintained  the manufacturing average of 3% increase in single and multi-factor productivity.

Single factor productivity (SFP) =Ratio of output to a single input

Multi-factor productivity (MFP) = Ratio of output to a combination of inputs.

Here,

Inputs are labour, resin, capital, and energy

Output are units produced.

Last year,

SFP = Units produced / Labour hours

      = 2000 / 300

      = 6.67 units per hour

MFP

= Units produced / (Labour hours + Resin kilograms + Capital investment + Energy watts)

= 2000 / (300 + 50 + (0.01 x 10000) + (3000 x 0.50))

= 1.026 units per input

This year,

SFP = Units produced / Labour hours

      = 2000 / 275

      = 7.27 units per hour

MFP

= Units produced / (Labour hours + Resin kilograms + Capital investment + Energy watts)

= 2000 / (275 + 45 + (0.01 x 10000) + (2850 x 0.50))

= 1.084 units per input

For organization is maintaining the manufacturing average of 3% increase in productivity,

Compare the percentage change in SFP and MFP from last year to this year,

Percentage change in SFP

= ((7.27 - 6.67) / 6.67) x 100

= 8.99%

Percentage change in MFP

= ((1.084 - 1.026) / 1.026) x 100

= 5.65%

Therefore, the organization is maintaining the manufacturing average of 3% increase in single and multi-factor productivity, as both SFP and MFP have increased by more than 3%.

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The above question is incomplete, the complete question is:

Nike in one of its operation has recently noted increase in costs and therefore have been aiming towards improving efficiency. The operation manager Cedric Masuku is interested in determining the productivity of his organization and would like to know if his organization is maintaining the manufacturing average of 3% increase in single and multi-factor productivity. Compile a report highlighting if this is being achieved, use the the relevant calculations. He has the following data representing a month from last year and equivalent month this year

Last now

units produced 2000 2000

Labour (Hours 300 275

Resin (Kilograms) 50 45

Capital invested (rands) R10000 R10000

Energy (watts) 3000 2850

The costs have been determined to be as follows

Labour R10 per hour

Resin R5 per Kilogram

Capital 1% per month of investment

Energy R0.50 per watt

In an assignment problem, each resource can perform only one task. The assignment problem is a linear programming problem that seeks to minimize the cost of assigning tasks to available resources.

An assignment problem is a combinatorial optimization problem in which a group of jobs must be assigned to a group of workers while minimizing the total cost of completing the jobs. This type of problem is solved using linear programming. In addition, there is a one-to-one matching between the set of jobs and the set of workers. The goal of an assignment problem is to find the optimal or best possible pairing of jobs to workers.To obtain the best possible solution, an optimal assignment algorithm can be utilized. There are four basic methods to solve the assignment problem: the Hungarian method, the matrix reduction method, the branch-and-bound method, and the Auction algorithm.

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Answer:

25.2 miles per gallon

Step-by-step explanation:

\(\frac{31.5}{1.25}\)

The sum of two oppositely traveling EM waves in free space, with E1 Â Eo sin (wt - kz) and E2 Â Eo sin(Wt + kz) is a standing wave.

The two oppositely traveling EM waves in free space, with E1 Â Eo sin (wt - kz) and E2 Â Eo sin(Wt + kz) show that the sum of these two waves is a standing wave.

The two waves interfere to create a wave that doesn't appear to be moving. The standing wave is represented by E Â 2E0 cos(kz) sin(wt), where E0 is the maximum amplitude of the electric field and k is the wave number.

To find the magnetic field associated with each traveling wave, Maxwell's version of Ampere's Law can be used.The magnetic field associated with each wave is given by

B = µoE / c  where µo is the permeability of free space and c is the speed of light in a vacuum.

Therefore, the magnetic field associated with each traveling wave is given by

B1 = µoE1 / c  and B2 = µoE2 / c.

The Poynting vector for each traveling wave is given by

S = E x B µo. Therefore, the Poynting vector for the two waves is given by S1 = E1 x B1 µo  and S2 = E2 x B2 µo .

The time-average value of the Poynting vector is given by (1 / 2) E0² µo. The direction of the Poynting vector is perpendicular to the direction of propagation of the wave, and it represents the rate at which energy is transported by the wave.

The total magnetic field associated with the standing wave is given byB = B1 + B2. Substituting the expressions for B1 and B2 yields

B = µo / c (E1 - E2).

The Poynting vector for the standing wave is given by S = E x B µo.

Substituting the expressions for E and B yields

S = (2E0 sin(kz))² µo / 4c = E0² µo sin²(kz) / c.

The time-average value of the Poynting vector is (1 / 2) E0² µo, which is the same as that of the individual waves

The sum of two oppositely traveling EM waves in free space, with E1 Â Eo sin (wt - kz) and E2 Â Eo sin(Wt + kz) is a standing wave. Maxwell's version of Ampere's Law is used to find the magnetic field associated with each traveling wave. The Poynting vector for each traveling wave is found, and the time average value for each is determined. The total magnetic field associated with the standing wave is calculated. Finally, the Poynting vector for the standing wave is found, and the time average value is determined.

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Answer:

Parallel slope: 2

Perpendicular slope: -1/2

Step-by-step explanation:

For a parallel line, the slope are the same.  The slope is the number before the x.

For perpendicular slopes, you turn the slope upside down and take the opposite sign.

The mean value of the radius (r) at which you would find the electron, given the H atom wave function is 100(r), is 0.

The wave function of an electron in the hydrogen atom, denoted by Ψ, describes the probability distribution of finding the electron at different positions around the nucleus. In this case, the given wave function is 100(r), where r represents the radius.

To calculate the mean value of the radius, we need to evaluate the integral of r multiplied by the absolute square of the wave function, integrated over all possible values of r. However, the wave function 100(r) does not provide a valid description of the hydrogen atom's electron distribution. The wave function should be normalized, meaning that the integral of the absolute square of the wave function over all space should equal 1. In this case, the given wave function lacks normalization.

Since the wave function is not properly normalized, we cannot accurately calculate the mean value of the radius. Without normalization, the probability distribution described by the wave function does not provide meaningful information about the electron's position.

In summary, based on the given wave function, the mean value of the radius cannot be determined without proper normalization of the wave function. A properly normalized wave function is necessary to obtain accurate information about the electron's position.

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Answer:

1/4

Step-by-step explanation:

use 2 points from the graph (-4,5) and (0,6) and  put them in the distance equation.

(y2-y1)

----------

(x2-x1)

6-5

-------

0-(-4)

1/4

Answer: D I think

Step-by-step explanation:

Answer:

(8,3),(8,3),(-8,-3),(-8,-3)

Step-by-step explanation:

A function is defined as a relation in which each domain element (x-value) is paired with exactly one range element (y-value).

This means that each value we input for x must have only one possible output. If the same x-value yields more than one y-value, it is not a function.

The correct answer, as shown above, meets the criteria of a function, as each x-value is shown to produce exactly one y-value. In this set of ordered pairs, if x=8, then y=3, and if x=-8, then x=-3.

In the other sets of ordered pairs, however, one x-value has more than one possible y-value. Let's use the first set as an example:

(5,1),(5,2),(5,3),(5,4)

Inputting 5 as x produces four different y values; there is no one y value for the x-value. y could equal 1, 2, 3, or 4.

The assumption which is not true for multiple linear regression is that there will be a multi-collinearity effect. What is multiple linear regression? Multiple linear regression is a regression method where the response variable is dependent on more than one independent variable. Multiple linear regression is an extension of linear regression, where one response variable is dependent on one independent variable. It helps to determine the nature of the relationship between dependent variables and independent variables in the form of linear equations. It is used to find out the relationship between variables and make predictions based on that relationship. Assumptions of multiple linear regression1. Linearity, It is assumed that the relationship between the independent variables and dependent variables is linear. This implies that as the value of the independent variable changes, the change in the dependent variable is constant.2. Independence, There should be independence among the observations. This implies that there should not be any relationship between the residuals of the observations.3. Homoscedasticity implies that the variance of residuals should remain constant across all levels of the independent variable.4. Multicollinearity, It is the condition where the independent variables are highly correlated with each other. If there is perfect collinearity, it will not be possible to obtain the estimates of regression coefficients.5. Normality, The residuals should follow a normal distribution with mean zero and constant variance. The residuals should be normally distributed and centered on zero. The assumptions that are true for multiple linear regression are: The independent variables are not correlated. The residuals are normally distributed. The relationship between dependent and independent variables is linear. The assumption which is not true for multiple linear regression is that there will be a multi-collinearity effect. Hence, the correct option is D) There will be a multi-collinearity effect.

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Iterative is used when the equations cannot be solved simply.

The given value is put in the equation to solve.

Walter estimation is incorrect.

No, both 3. 61^2 and 3. 62^2 are greater than 13.

First he checks that is 13 between 3.61 and 3.62.

But suppose he cannot because he wants to use iteration.

Suppose he squares both the numbers 3.61 and 3.62 to determine if 13 is between the two numbers.

3.61² = 13.0321  and

3.62² =13.1044

We see that when both the numbers are squared then the answer in each case is greater than 13.

Therefore 13 cannot lie as both numbers are greater than 13.

Hence 13 does not lie between 3.61 and 3.62

From the given choices the best choice is  No, both 3. 61^2 and 3. 62^2 are greater than 13.

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Answer:

Step-by-step explanation:

By the Pythagorean Theorem

\(c^2=a^2+b^2\\ \\ c^2=60^2+32^2\\ \\ c^2=4624\\ \\ x=\sqrt{4624}\\ \\ x=68\)

To determine the factors that should be included in the function to satisfy the given conditions, we need to analyze the end behavior of the function. An end behavior refers to the behavior of a function's graph as x approaches positive or negative infinity.

1. Increasing as x approaches negative infinity: This indicates that the graph should rise as we move to the left. This is associated with an odd-degree function with a positive leading coefficient. An example of such a function is f(x) = x^3.

2. Decreasing as x approaches positive infinity: This also indicates that the graph should fall as we move to the right. This is consistent with an odd-degree function with a positive leading coefficient, like f(x) = x^3.

To ensure that the function meets both conditions, we should include a term with an odd exponent and a positive coefficient. This will make the function increase as x approaches negative infinity and decrease as x approaches positive infinity. Some examples include x^3, 5x^5, and 7x^7.

In conclusion, include a term with an odd exponent and a positive coefficient to satisfy the given conditions. This will result in the graph of the function rising to the left (as x approaches negative infinity) and falling to the right (as x approaches positive infinity).

Which factor should be included in the function below so that the graph of the function is increasing as x approaches negative infinity and decreasing as x approaches positive infinity? Select all that apply.

f(x)=(x+4)(x−5)

-0.8

-3x

(x+5)

-(2x+1)

(3x^2+5)

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Answer:

with what nothing here to help you with. so is there an actual question you need help with?

The option is B. Emerson is painting the outside of a cube for a math project. he knows the area of each face is 145 square inches.

the place is the quantity that expresses the quantity of vicinity on the plane or on a curved floor. The area of a plane vicinity or aircraft location refers to the area of a shape or planar lamina, while surface location refers to the region of an open floor or the boundary of a three-dimensional object. the place can be understood as the quantity of material with a given thickness that might be necessary to fashion a model of the shape, or the amount of paint essential to cowl the surface with a single coat. it's by far the 2-dimensional analog of the period of a curve (a one-dimensional concept) or the volume of a stable (a three-dimensional idea).

The region of a form can be measured by using comparing the form to squares of a set size. within the global system of devices (SI), the standard unit of the region is the rectangular meter (written as m²), which is the place of a rectangular whose aspects are one meter long. A shape with an area of 3 square meters might have an equal area to 3 such squares. In mathematics, the unit square is defined to have area one, and the place of some other form or floor is a dimensionless real number.

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Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

To determine when tan(theta) is undefined on the unit circle, we need to remember the definition of the tangent function.
Tangent is defined as the ratio of the sine and cosine of an angle. Specifically, tan(theta) = sin(theta)/cos(theta).

Now, we know that cosine can never be equal to zero on the unit circle, since it represents the x-coordinate of a point on the circle and the circle never crosses the x-axis. Therefore, the only way for tan(theta) to be undefined is if the cosine of theta is equal to zero.
There are two values of theta on the unit circle where cosine is equal to zero: pi/2 and 3pi/2.

At theta = pi/2, we have cos(pi/2) = 0, which means that tan(pi/2) = sin(pi/2)/cos(pi/2) is undefined.
Similarly, at theta = 3pi/2, we have cos(3pi/2) = 0, which means that tan(3pi/2) = sin(3pi/2)/cos(3pi/2) is also undefined.
Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

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Answer: D, reciprocal parent function

Step-by-step explanation: