2. Let A = 2 2 -2 1 21 -2 1 2 3 (a) (8 points) Find the LU decomposition of A. (b) (7 points) Use it to solve 3 Az 5 =

Answer:

.khSv/LHGV?LAJDg"Oza/lhoAUFDB?AKDUFGK

Step-by-step explanation:

LQHEGPiqlahb:ilsDYHLBiyqgAeiylfhv zlsfiv lolololol lamo laom

Subtracting their times, it is found that Rob was faster than Jeff by 0.53 seconds.

Rob ran in less time, so he was faster. To find by how much, we find the absolute value of the difference of their times, thus:

\(|4.95 - 5.48| = |-0.53| = 0.53\)

Rob was faster than Jeff by 0.53 seconds.

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Answer:

3

Step-by-step explanation:

Answer:

This is basically just 2*2 = 4 - 1 = 3

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

3 1/2 = 7/2

4 2/3 = 14/3

7/2 / 14/3 = 7/2 * 3/14 = 1/2 * 3/2 = 3/4

\(Answer\rightarrow\large\boxed{\frac{3}{4} }\ or\ 0.75\)

Step-by-step explanation:

what is 3 1/2 ÷ 4 2/3?

\(\rightarrow3 \frac{1}{2}/4\frac{2}{3}\)

\(\rightarrow\frac{7}{2} /\frac{14}{3}\)

\(\rightarrow\frac{7}{2} \times\frac{3}{14}\)

\(\rightarrow\frac{21}{28}\)

\(\rightarrow\large\boxed{\frac{3}{4} }\ or\ 0.75\)

\((x - 5)(x + 7) = 3 x + 21\)

\((x - 5)(x + 7) = 3(x + 7)\)

\((x - 5)(x + 7) - 3(x + 7) = 0 \\ \)

\((x + 7)(x - 5 - 3) = 0\)

\((x + 7)(x - 8) = 0\)

\(x + 7 = 0 \\ x = - 7\)

Or

\(x - 8 = 0 \\ x = 8\)

Answer:

The correct answer is 351.

Step-by-step explanation:

We will use order of operations to solve this problem. Recall that order of operations, AKA PEMDAS, states we should simplify numeric expressions in the following order:

Parentheses

Exponents

Multiplication/Division (ordered left to right)

Addition/Subtraction (ordered left to right)

Begin by evaluating the parentheses:

\(2+7^3+4(9-6)^2\div6\\2+7^3+4(3)^2\div6\)

Simplify the exponents:

\(2+7^3+4(3)^2\div6\\2+343+4(9)\div6\)

Multiply:

\(2+343+4(9)\div6\\2+343+36\div6\)

Divide:

\(2+343+36\div6\\2+343+6\)

Add:

\(2+343+6\\345+6\\351\)

Markov analysis is used for analyzing the performance and reliability of complex systems, while replacement charts are used for optimizing the replacement timing of deteriorating assets.

Markov Analysis:

Markov analysis is a probabilistic model that is used to predict the future state of a system based on its current state.

It involves the use of Markov chains to model the transitions between different states of a system over time.

Markov analysis is commonly used when the equipment or system under consideration can be in multiple states with varying probabilities of transition.

It is suitable for analyzing systems that have a continuous or non-repairable nature, such as complex machinery, infrastructure, or systems with multiple failure modes.

The primary objective of Markov analysis is to assess the reliability, availability, and performance of the system and make decisions regarding maintenance, replacement, or repair strategies.

Replacement Chart:

A replacement chart, also known as a replacement model or replacement policy, is a decision-making tool used to determine the optimal time to replace a piece of equipment or system.

It involves comparing the costs associated with continuing to use the existing equipment (including maintenance and repair costs) with the costs of replacing it.

The replacement chart provides a visual representation of the costs over time and helps identify the point at which replacement becomes more cost-effective than continued use.

Replacement charts are commonly used for assets that are subject to wear and tear, aging, or deterioration over time, such as vehicles, machinery, or equipment with a defined lifespan.

The primary objective of a replacement chart is to minimize costs associated with the asset's life cycle by optimizing the replacement timing.

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Answer:

The expression for the amount of wallpaper needed is \(20b^{2}- 2d\)

Step-by-step explanation:

The necessary dimensions of the living room we need are the length and the height. We will not be needing the width because we will not be covering the floors with any wallpaper.

We will now assign variables to represent the surface areas of some features of the rooms.

Let the length of one wall of the living room be = l cm

Let the breadth of one wall of the living room be = b cm

Let the surface area of the doors be = d \(cm^{2}\)

From the problem, we know that  l = 5b

The area to be covered on one wall of the living room will be = length X breadth.

l X b

recall l = 5b

\(5b \times b = 5b^{2}\)

this is the area to be covered on one wall.

For the four walls, we would have \(4 \times 5b^{2}= 20b^{2}\)

Let us remember that the living room has two doors each covering a surface area of \(d cm^{2}\) we will have to subtract these out since hey won't be covered.

\(20b^{2}- 2d\)

Therefore, the expression for the amount of wallpaper needed is \(20b^{2}- 2d\)

We are expected to find the volume of the item which contains a cylinder and a cone = The volume of the item is 108 in³

The volume of a cylinder = πr²h

π = 3

r =/2 = 4 in/2 = 2 in

h = 8 in

The volume of a cylinder = πr²h

= 3 × (2 in)² × 8 in

= 3 × 4 in² × 8 in

= 96 in³

The volume of a cone = πr²h/3

= (3 × (2 in)² × 3 in)/3

= (3 × 4 in² × 3 in)/3

= 36 in³/3

= 12 in³

The volume of the item can be found by adding the volume of the cylinder and the volume of the cone

Total volume = Volume of a cylinder + Volume of a cone

= 96 in³ + 12 in³

= 108 in³

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Answer: 11

Step-by-step explanation:

Let the 5 numbers be x,x+1,x+2,x+3 and x+4.

Therefore,

x + x+1 + x+2 + x+3 + x+4 = 65

5x + 10 = 65

5x = 65 - 10

5x = 55

x = 55/5

x = 11

Therefore, the 5 numbers are 11, 12, 13, 14 and 15.

The first number is 11

Answer:

B. ΔRMS ≅ ΔRQS by AAS

I just took the test :)

Answer:B

Step-by-step explanation:just took the test

Answer:

15/x-2

Step-by-step explanation:

Cant attach the photo but you use a division table

Answer:

norway

Step-by-step explanation:

The coefficient associated with CHILD is not significantly different from zero, since its p-value is greater than 0.10. The p-value for the CHILD coefficient is 0.208, which is greater than 0.10.

This means that we cannot reject the null hypothesis that the coefficient is equal to zero. Therefore, we cannot conclude that the coefficient is significantly different from zero.

The estimated value of the CHILD coefficient is -0.045, which means that a unit increase in the number of children per capita is associated with a decrease in GDP growth per capita by 0.045%. However, since the p-value is greater than 0.10, we cannot be confident that this decrease is real.

In other words, the data does not provide enough evidence to conclude that the number of children per capita has a significant impact on GDP growth per capita.

Here is a table of the p-values for the estimated coefficients:

Coefficient p-value

   BB         0.0004

 CHILD        0.208

As you can see, the p-value for the CHILD coefficient is much larger than the p-value for the BB coefficient. This means that there is much less evidence to suggest that the CHILD coefficient is significantly different from zero.

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Through the given equation the simplification of (4x-6)-(5x+1) is = -x -7.

An illustration of distributive property:

When you multiply a value by a sum, the distributive property of multiplication over addition is used. Say you wish to multiply 5 by the product of 10 plus 3. When two terms are similar, we often sum the two amounts before multiplying by 5. However, the property states that you should first multiply each addend by 5.

The expression provided is:

(4x-6)-(5x+1)

Using the distributive property, expand the brackets to get:

4x-6- 5x-1

Organize the terms to get,

4x- 5x -1 -6

combine similar phrases to simplify to obtain;

-x -7

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Ann has failed to meet the condition called the "success-failure" condition.

In order to construct a confidence interval for the proportion (p), the sample must have at least 10 successes (planning to travel outside the state) and 10 failures (not planning to travel outside the state). In her sample of 29 students, she found 12 planning to travel (successes) and 17 not planning to travel (failures). Both numbers satisfy the success-failure condition, so she can construct the confidence interval for the proportion of students planning to travel outside the state during the coming summer.

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Answer:

C: The sample must be a random sample from the population

Step-by-step explanation:

took the test on edge

She will be able to make the recipe approximately 4 times with 500g of butter. Each recipe requires 125g of butter, so dividing 500g by 125g gives a result of 4.

Since the recipe requires 125g of butter and she buys 500g, dividing the total amount of butter (500g) by the required amount per recipe (125g) gives the number of times she can make the recipe (4).

Sure! To calculate the number of times Kaylin can make the recipe with 500g of butter, we need to divide the total amount of butter she has by the amount of butter required per recipe.

The recipe calls for 125 grams of butter. If Kaylin buys 500 grams of butter, we divide 500 by 125: 500g / 125g = 4.

So, she will be able to make the recipe approximately 4 times with 500g of butter. Each time she makes the recipe, she will use 125g of butter, and since she has 500g in total, she can repeat the process 4 times.

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The following equation could be used to represent a function w:

= w(x)=v(x-7)+7

According to the information provided,

The point of discontinuity of rational functions is at x=7.

When a rational function has a point of discontinuity, it generally occurs when,

q(x) = r(x-a), where x = a

In this case, we must pay attention to the following relationship, which is a combination of a parent rational function and a vertical translation:, (2)

If we know that a=7 and k=7.

The equation which can represent w is as follows,

w(x) = v ( x-7 ) + 7

A rational function can be represented as a polynomial split by another polynomial. Because polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros in the denominator.

Example: x = f(x) (x - 3). The denominator, x = 3, has only one zero. Rational functions are no longer defined when the denominator is zero.

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Answer:

Step-by-step explanation:

A triangle has 180 degrees in total. One of the angles are 145 degrees, so we can subtract and get 35 degrees. Then, it says that the remaining angles are in a ratio 2:3. So, we would have:

\(2x:3x = 35 \\2x+3x = 35\\5x=35\\x=7\)

Now that we know what x is, we can multiply that to our ratio:

\(2\cdot7=14 \text{ degrees for the first angle}\\3\cdot7=21 \text{ degrees for the second angle }\)

Answer: Where is the triangle?

Step-by-step explanation: Brainliest pls:)

Answer: the rectangle is 23 x 41

Step-by-step explanation:

x = length

2x - 5 =  width

A = length x width = (x)(2x-5) = 943

2\(x^{2}\) - 5x - 943 = 0

use quadratic equation to solve for x:

a = 2, b = -5, c = -943

roots are 23, -20.5

x = 23 (length)

2x - 5 = 2(23) - 5 = 46 - 5 = 41 (width)

There are infinitely possible lines that can intersect the graph of a line y = -x, An equation of such line is y = 2x-3, which intersects at (1,-1).

We are given a graph y = -x, the number of lines that can intersect the given but is not perpendicular to it is infinite as,

we know equation of a line is y = mx+b

where, m is the slope of the line

and b is the y - intercept.

For the given equation y = - x, m = -1, b =0.

So,

So,  we will consider a equation with m not equal to 1 and -1, that is y = 2x-3, which has m =2, and b = -3.

Therefore, the line having equation y = 2x +3 , will intersect the graph y = -x at (1,-1)

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To maximize the likelihood function, we take the derivative with respect to θ and set it equal to zero: d/dθ[L(θ|X1,X2,...,Xn)]=−n/θ+(X1+X2+⋯+Xn)/θ2=0.

The MLE for θ in the exponential distribution is simply the sample mean of the observed data.

The exponential distribution is a continuous probability distribution that describes the time between events in a Poisson point process. X1,X2,...,XnX1,X2,...,Xn is a random sample of size n from this distribution, which means that each XiXi is an independent and identically distributed random variable with the same exponential distribution.

The probability density function (pdf) of the exponential distribution is given by f(x:θ)=(1/θ)e−x/θ, where θ is the scale parameter. This means that the probability of observing a value x from the distribution is proportional to e−x/θ, with the constant of proportionality being 1/θ.

To estimate the value of θ based on the observed data, we can use the method of maximum likelihood estimation (MLE). The likelihood function for the sample X1,X2,...,XnX1,X2,...,Xn is given by L(θ|X1,X2,...,Xn)=∏i=1n(1/θ)e−Xi/θ=(1/θ)n e−(X1+X2+⋯+Xn)/θ.

Solving for θ, we get θ=(X1+X2+⋯+Xn)/n, which is the sample mean.

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The value of probability P(A) and P(B) and P(C) is 2/5 and 9/10 and 1/6.

According to the statement

we have given that the an urn contains five balls labeled 1 through 5. And   Three balls are removed from the urn one by one randomly.

And we have to find that the probability of the given conditions.

So, For this purpose, we know that the

On the first given condition

A. Since there is no information on the first draw, this probability simply equals:

P(A)=2/5

Alternatively, you could distinguish between drawing a 4 or 5 in the first turn or not. We can then calculate P(A) as:

P(A) = 2/5*1/4+3/5*2/4

P(A) = 8/20

P(A) = 2/5.

And on the second given condition:

B. The probability of drawing 1 or 2 or both is 1 minus the probability of drawing none:

P(B) = 1−3/5*2/4*1/3

P(B) = 1−1/10

P(B) = 9/10

And the third given condition is :

C. There are (5/3)=10 ways to choose the three numbers, and only one correct way to draw them.

We thus find:

P(C) = (5/3)/5*4*3

P(C) = 10/60

P(C) = 1/6

So, The value of probability P(A) and P(B) and P(C) is 2/5 and 9/10 and 1/6.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

An urn contains five balls labeled 1 through 5. Three balls are removed from the urn one by one randomly, and their numbers recorded in order. No balls are put back in the urn. Assume that all outcomes of the experiment are equally likely.

(i) Let A be the event that the second ball drawn is ball 4 or 5. Find P(A).

(ii) Let B be the event that the sample of three balls contains ball 1 or ball 2 or both. Find P(B).

(iii) Let C be the event that the three recorded numbers come in increasing order. Find  P(C).

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We found the polar coordinates of the point of intersection P between two circles C and K. Thus, the polar coordinates of P are r = 2.25 and θ = 1.11.

We have two circles: Circle C centered at the origin with a radius of 3, and Circle K with a diameter whose endpoints are at the origin and (0, 15). Both circles intersect at two points, and we are interested in finding the polar coordinates (r, θ) of the point P of the intersection in the first quadrant.

To find r and θ, we can use the fact that point P lies on both circles. Let's first find the equation of Circle K. Since its diameter has endpoints (0, 0) and (0, 15), its center is at (0, 7.5), and its radius is 7.5.

Now, we can find the point P by solving the system of equations for the two circles. We get \(x^2 + y^2 = 9\) for Circle C, and\(x^2 + (y-7.5)^2 = (7.5)^2\) for Circle K. Solving this system of equations gives us two solutions: P(2.25, 1.11) and P(6.75, 0.39).

Since we are interested in the first quadrant, we choose the solution P(2.25, 1.11), and thus the polar coordinates of P are r = 2.25 and θ = 1.11.

In summary, we found the polar coordinates of the point of intersection P between two circles C and K, given their equations and the constraint that P lies in the first quadrant. We used the fact that P lies on both circles to solve for its coordinates, and chose the appropriate solution in the first quadrant.

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The farming conglomerate will use approximately 36,912.51 megaliters of water 5 years from now.

To calculate the amount of water the farming conglomerate will use 5 years from now, we can use the given information that its water usage increases at a rate of 7% every year.

Let's denote the current water usage as W₀ and the water usage after 5 years as W₅.

We know that W₅ = W₀ * (1 + r)^n, where r is the growth rate (in decimal form) and n is the number of years.

In this case, W₀ = 28,390 megaliters, r = 7% = 0.07, and n = 5.

Substituting these values into the formula, we have:

W₅ = 28,390 * (1 + 0.07)^5

Calculating this expression, we get:

W₅ ≈ 28,390 * (1.07)^5 ≈ 36,912.51 megaliters

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Answer:

12467 x 1209 = 15,072,603

Step-by-step explanation:

You can always use a calculator to check your answers!

If this helped, please give it brainliest!

Answer:

15072603

Step-by-step explanation:

hope this helps :)

The new area of the triangle is still 125, even though the base was doubled and the height was reduced to one-half its original length.

To find the new area of the triangle, we need to use the formula for the area of a triangle, which is:

Area = (1/2) x base x height

We know that the original area of the triangle is 125, so we can set up an equation:

125 = (1/2) x base x height

We also know that the base of the triangle is doubled, so we can replace "base" with "2x base":

125 = (1/2) x 2x base x height

Next, we know that the height is reduced to one-half its original length, so we can replace "height" with "(1/2) x original height":

125 = (1/2) x 2x base x (1/2) x original height

Simplifying the equation, we get:

125 = (1/4) x 2x base x original height

Multiplying both sides by 4, we get:

500 = 2x base x original height

Dividing both sides by 2, we get:

250 = x base x original height

So, the new area of the triangle is:

Area = (1/2) x 2x base x (1/2) x original height

Area = (1/2) x x base x (1/2) x 2 x original height

Area = (1/2) x x base x original height

Area = (1/2) x 250

Area = 125

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The correct answer is A. line. A line is a straight path that extends infinitely in both directions. It has no endpoints and continues indefinitely.

A line is a basic geometric object that is defined by two points or can be represented by a single equation. It is characterized by its straightness and infinite length, extending in both directions without any boundaries or endpoints. A line can be represented by a straight line segment with two distinct points or by an equation such as y = mx + b in a coordinate system.

On the other hand, a plane refers to a two-dimensional flat surface that extends infinitely in all directions. It is not a straight path but rather a flat, continuous surface. A ray, is a part of a line that has one endpoint and extends infinitely in one direction. It is not a straight path that continues indefinitely in both directions like a line.

A triangle is a closed geometric shape with three sides and three angles. It is not a straight path but rather a closed figure formed by connecting three non-collinear points.Therefore ,the correct answer is A.

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