(1) A statistics professor was teaching students about using matrices to rep-resent statistical data.. He gave the student an example matrix P. He defined a matrix Q as Q = P2. Students were then asked to consider a matrix R = PQ. Students were informed that matrix R satisfied the following property: {rii = 0, Vi , V}. A student named B claimed that he can find the 2 largest eigenvalues of matrix P. Another student named C replied that he can find the smallest eigenvalue of P. A third student named D replied that the largest eigenvalues of P is 3. Which student is telling the truth. Prove or disprove each of the three claims
(2) M works as a data scientist at an oil company. He is in charge of designing fast algorithms for understanding geological survey data. M came across a data matrix A = Ik of size kx k. Here k > 21. His manager asked him to study 2 matrices Cl = A - B and C2 = (A+ B)^-1 where B € R^kxk.
It is also known that B+B^T = Okxk• The manager wants him to derive some properties of the matrix D = C1C2. (a) The manager claimed that he can find the sum of absolute value of eigenvalues of D from the given information. M thinks this is not possible. (b) M daimed that he can find the determinant of the matrix D easily from the given information. To this Manager replied that M's claim is wrong. (c) The manager also claimed that he can find the Frobenius norm of the matrix D with given information. To this M replied that its impossible to find the Frobenius norm but the matrix 1-norm can be found easily with the given properties. Who is telling the truth. Prove or disprove each of the state-ments

No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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Answer:

72

Step-by-step explanation:

Answer: The length of the edge of the crate is 3 feet.

Step-by-step explanation:

The formula of the volume of a cube is the cube of edge length.

The volume of the cube (V) = (edge)³ ...................................(1)

In the given question volume is 27 cubic feet.

So, V = 27 cubic feet

Now we replace the Volume with the edge using equation (1)

i.e. (edge)³ = 27

or we can say that the cube root of the edge is equal to 27

i.e. edge = ∛27

which is equal to 3

hence, edge = 3 feet

To calculate the cube root write prime factors of 27 and group them in groups of three

i.e. ∛27 = ∛(3×3×3) = ∛ (3)³ = 3

1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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The expression for his total earnings can be derived by multiplying the number of tutoring hours by the tutoring rate and adding it to the product of the number of waiter hours and the waiter rate.

Let's assume the hourly rate for Ravi's tutoring job is "t" dollars and the hourly rate for his waiter job is "w" dollars.

Since Ravi worked as a tutor for "x" hours this month, he earned a total of x * t dollars from his tutoring job.

Similarly, as he worked as a waiter for 1 hour each day this month, he earned a total of 1 * w dollars from his waiter job.

To calculate the combined total dollar amount he earned this month, we can express it as x * t + 1 * w, which represents the earnings from his tutoring job plus the earnings from his waiter job.

This expression provides the total dollar amount Ravi earned based on the given hourly rates and the number of tutoring hours.

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Answer:

±2

Step-by-step explanation:

This is a biquadratic equation, we must turn it into a quadratic one first before we solve it. So, let's say that x⁴ = y², therefore

\(y = \sqrt{x} \)

and we turn it into the following quadratic equation:

y² - y - 2 = 0

then we solve it the way we solve a normal quadratic equations and find the roots:

D = 1 + 8 = 9

y1,2 = 1 ± 3 = 4, -2

\( \sqrt{x} = y\)

We cannot find the square root of -2, so the solutions are only -2 and 2(because square root of 4 is equal to ±2)

Answer:

Original price = $60

Step-by-step explanation:

Given:

Sales price of shoes = $45

Discount rate = 25%

Find:

Original price

Computation:

Original price = Sales price of shoes[1/(1-Discount rate)]

Original price = 45[1/(1-25%)]

Original price = 45[1/(1-0.25)]

Original price = 45[1/(0.75)]

Original price = $60

Answer:

Step-by-step explanation:

$60

Answer:

10:35

Step-by-step explanation:

Answer:

1000 / 10 = 100 strikes per second. Now, multiply by 12 to find the number of strikes that occurred. 100 * 12 = 1200 strikes in 12 seconds. Part B: Divide the number of seconds to the number of lightning strikes to find the average rate. 10 / 1000 = 0.1 seconds per strike. Now, multiply by 7250 to find the number of seconds that passed.

Step-by-step explanation:

Answer: its D

Step-by-step explanation:

Virtual reality has had the most significant impact on de la Pena's journalism career due to its ability to provide a more immersive and engaging news experience and its potential to reach a wider audience.

The question is about the future of news and the impact of virtual reality on de la Pena's journalism career.

In terms of the most significant impact on de la Pena's career, it can be argued that virtual reality has had the most significant impact. This is because virtual reality has revolutionized the way news is presented and consumed.

Virtual reality allows journalists like de la Pena to immerse their audience in a story by providing a more immersive and engaging experience. By using virtual reality, de la Pena has been able to create powerful and impactful stories that allow the audience to experience events and situations firsthand. This has the potential to create a deeper understanding and empathy among viewers.

Furthermore, virtual reality has also expanded the reach of journalism by allowing audiences from different parts of the world to experience stories that they wouldn't have been able to otherwise. This has the potential to foster a more global perspective and increase awareness of important issues.

Overall, virtual reality has had the most significant impact on de la Pena's journalism career due to its ability to provide a more immersive and engaging news experience and its potential to reach a wider audience.

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Answer:

114

Step-by-step explanation:

You first have to do L x W x H

which will be 9.5 x 4 x 3

that gives you 114

which is the answer 114!!

The y-intercept is approximately 191.15, which is closest to option B) 191.1.

To compute the y-intercept, we need to use the formula of the regression line:

y = a + bx

where a is the y-intercept, b is the slope, x is the independent variable (in this case, x-bar), and y is the predicted value of the dependent variable (in this case, y-bar).

The slope can be computed as:

b = r(sy/sx)

where r is the correlation coefficient, sy is the standard deviation of y, and sx is the standard deviation of x.

Substituting the given values, we get:

b = 0.341(37/12) = 1.05025

Now, we can use the formula of the regression line to find the y-intercept:

y = a + bx

251 = a + 1.05025(57)

a = 191.08875

Therefore, the y-intercept is approximately 191.1, which is answer choice B).
To compute the y-intercept, we will first need to find the slope (b) of the regression line using the given correlation coefficient (r), standard deviations (sx and sy), and means (x-bar and y-bar). Then, we will use the point-slope form of a linear equation to find the y-intercept.

Step 1: Calculate the slope (b)
b = r * (sy/sx)
b = 0.341 * (37/12)
b ≈ 1.05

Step 2: Use the point-slope form to find the y-intercept
y - y-bar = b * (x - x-bar)

Plug in the values for x-bar, y-bar, and b:
y - 251 = 1.05 * (x - 57)

Since we want the y-intercept, we will set x to 0:
y - 251 = 1.05 * (0 - 57)

Solve for y:
y - 251 = 1.05 * (-57)
y - 251 ≈ -59.85
y ≈ 251 - 59.85
y ≈ 191.15

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Answer:

ANSWER IS PROVIDED BELOW

hope this helps and good luck on your assignment

The HUF/GBP exchange rate is 0.00315 or 1 GBP = 317.46 HUF (rounded to two decimal places). To find the HUF/GBP exchange rates, we need to first convert HUF to GBP using the given exchange rates.1 EUR = 317 HUF and 1 EUR = 1.0 GBP.

We can use these exchange rates to find the HUF/GBP exchange rate as follows:

HUF/GBP = (HUF/EUR) / (GBP/EUR)

To find HUF/EUR, we can use the first exchange rate:

HUF/EUR = 1 / 317

To find GBP/EUR, we can take the reciprocal of the second exchange rate:

GBP/EUR = 1 / 1.0

Therefore, HUF/GBP = (HUF/EUR) / (GBP/EUR)

= (1/317) / (1/1.0)

= 0.00315 GBP/HUF

So, the HUF/GBP exchange rate is 0.00315 or 1 GBP = 317.46 HUF (rounded to two decimal places).

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The value of x is in the solution set of the inequality 9(2x + 1) < 9x – 18 is -4.

Inequality is defined as relationship between non-equal numbers or expressions. The solution set of an inequality is the set of values that satisfies the given inequality.

To determine the solution set of the given inequality, isolate the variable to one side and simplify.

9(2x + 1) < 9x - 18

18x + 9 < 9x - 18

18x - 9x < -18 - 9

9x < -27

x < -3

x = (-∞, -3)

Hence, the solution set of the given inequality is the set of numbers less than -3. Among the given choices, only -4 is less than -3. Therefore, the value of x is -4.

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Answer: -4

Step-by-step explanation: edge2020

Answer:

Step-by-step explanation:

3/2=5d-1/2 ( do cross multiplication )

3*2=2(5d-1)

6=10d-2

6+2=10d

8/10=d

4/5=d

0.8=d

The closing balance for quarter 2 will be £230,450.

To calculate the inflows and outflows for quarter 2,  We se the following formula:

Inflows = inflows quarter 1 + (inflows quarter 1  x increase percentage)

Outflows = outflows quarter 1 + (outflows quarter 1  x increase percentage)

Where inflows quarter 1 and outflows quarter 1 are the inflows and outflows for quarter 1 and increase percentage is the percentage increase anticipated for quarter 2.

First, we can calculate the inflows for quarter 2:

Inflows Q1 = £540,000

Increase in inflows = 7.5%

Inflows Q2 = £540,000 x  (1 + 7.5%) = £584,700

Next, we can calculate the outflows for quarter 2:

Outflows Q1 = £495,000

Increase in outflows = 5%

Outflows Q2 = £495,000 * (1 + 5%) = £519,250

Then, we can calculate the closing balance for quarter 1:

Closing balance Q1 = Opening balance + Inflows Q1 - Outflows Q1 = £20,000 + £540,000 - £495,000 = £65,000

Finally, we can calculate the closing balance for quarter 2:

Closing balance Q2 = Closing balance Q1 + Inflows Q2 - Outflows Q2 = £65,000 + £584,700 - £519,250 = £230,450

So, the closing balance for quarter 2 will be £230,450.

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Answer: 1

Step-by-step explanation:

Bc 1 is match of P

Answer:

p = 5/2

Step-by-step explanation:

The function rule is:

y = -x/2 + 3

Plugging 1 in as x, we have:

y = -1/2 + 3

y = 5/2

Answer:

Please check the explanation.

Step-by-step explanation:

Given the expression

\(V=\sqrt[3]{x-1}+3\)

Determining the domain:

We know that the domain of a function is the set of input values for which the function is defined.

From the given graph, it is clear that the function has no undefined points nor domain constraints.

Therefore, the domain is:

In other words:

\(\mathrm{Domain\:of\:}\:\sqrt[3]{x-1}+3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}\)

Determining the range:

We know that the range of a function is the set of values of the dependent variable for which a function is defined.

It is clear from the graph that the range can be any real number.

i.e. the range is:

{y|y is a real number}

In other words,

\(\mathrm{Range\:of\:}\sqrt[3]{x-1}+3:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}\)

The number of fliers that she has still not broadcasted will be 48 fliers.

Algebra is the study of ideational characters, while logic is the manipulation of all those opinions.

Linda had 90 fliers to post around town. Last week, she posted 1/5 of them. Then the number of fliers staying is given as,

⇒ (1 - 1/5) x 90

⇒ (4/5) x 90

⇒ 72 fliers

This week, she posted 1/3 of the remaining fliers. Then the number of fliers that she has still not broadcasted is given as,

⇒ (1 - 1/3) x 72

⇒ (2/3) x 72

⇒ 48 fliers

The number of fliers that she has still not broadcasted will be 48 fliers.

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Answer:

The answer to the problem is:

(i) The speed of the car at B is -4 ms$^{-1}$.

(ii) The distance AB is 32 meters.

(iii) The time taken for the car to travel from B to C is 10 seconds.

Step-by-step explanation:

To find the speed of the car at B, we can use the formula $v = v_0 + at$, where $v$ is the final speed, $v_0$ is the initial speed, $a$ is the acceleration, and $t$ is the time. In this case, $v_0 = 20$ ms$^{-1}$, $a = -6$ ms$^{-2}$, and $t = 4$ s. Plugging these values into the formula gives us:

$v = 20 + (-6)(4) = 20 - 24 = -4$ ms$^{-1}$

Thus, the speed of the car at B is -4 ms$^{-1}$.

To find the distance AB, we can use the formula $d = v_0t + \frac{1}{2}at^2$, where $d$ is the distance, $v_0$ is the initial speed, $a$ is the acceleration, and $t$ is the time. In this case, $v_0 = 20$ ms$^{-1}$, $a = -6$ ms$^{-2}$, and $t = 4$ s. Plugging these values into the formula gives us:

$d = (20)(4) + \frac{1}{2}(-6)(4^2) = 80 - 48 = 32$ meters

Thus, the distance AB is 32 meters.

To find the time taken for the car to travel from B to C, we can use the formula $v^2 = v_0^2 + 2ad$, where $v$ is the final speed, $v_0$ is the initial speed, $a$ is the acceleration, and $d$ is the distance. In this case, $v_0 = -4$ ms$^{-1}$, $v = 20$ ms$^{-1}$, $a = 2$ ms$^{-2}$, and $d$ is the distance from B to C. We can find this distance by using the formula for distance and setting $t = 0$, since we're looking for the time it takes the car to travel from B to C, not from A to B:

$d = (20)(0) + \frac{1}{2}(-6)(0^2) = 0 - 0 = 0$ meters

Thus, the distance from B to C is 0 meters. Plugging these values into the formula gives us:

$20^2 = (-4)^2 + 2(2)(0) = 16 + 0 = 16$

We can solve this equation for $t$ to find the time it takes the car to travel from B to C:

$t = \sqrt{\frac{v^2 - v_0^2}{2a}} = \sqrt{\frac{20^2 - (-4)^2}{2(2)}} = \sqrt{\frac{400}{4}} = \sqrt{100} = 10$ seconds

Thus, the time taken for the car to travel from B to C is 10 seconds.

The velocity-time graph for the journey from A to C would have a positive slope from A to B, a negative slope from B to C, and a positive slope from C to the end of the journey.

The statement that should not be included in a summary report about the study is, "This study demonstrates clearly that seat belts save children from injury." Therefore, the correct option is D.

A study of existing records of 27,000 automobile accidents involving children in Michigan found that about 10 percent of children who were wearing a seatbelt were injured and that about 15 percent of children who were not wearing a seatbelt were injured. The statement that "This study demonstrates clearly that seat belts save children from injury" shouldn't be included in a summary report about this study.

It's because the study only presents correlations and doesn't establish causation. The data simply indicated the reason for the accident and if the passengers were wearing a seatbelt or not. Factors like driver behavior, location of the child in the car, and the child’s age could be confounding variables that were not included in the data, and thus may have impacted the findings.

Inferences from this study should only be applied to automobile accidents involving children in Michigan. The child's location in the car, driver behavior, and the child’s age may be confounding variables.

Hence, the correct answer is option D.

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Answer:

Is No Solution

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

The total price (c) would be the cost per pound ( $1.36 ) multiplied by the number of pounds bought (p)

C = 1.36p

Now replace p with the weight bought and calculate total cost:

c = 1.36(10)

c = $13.60

Answer:

C=$13.60

P=10

So, there for 10 Ibs • $1.36 = $13.60

Step-by-step explanation:

1 p= $1.36

10 p= $13.60

True. depending on the circumstances, the dequeue method of our linkedqueue class sometimes throws the queueunderflowexception

The dequeue method of a LinkedQueue class throws a QueueUnderflowException when the queue is empty, and the user attempts to remove an element from it. This is because removing elements from an empty queue is not allowed and violates the basic properties of a queue data structure. Therefore, depending on the circumstances, the dequeue method may throw a QueueUnderflowException to indicate that the operation is invalid.

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Answer:

I think 7

Step-by-step explanation:

By the way I'm a swimmer, and even I could swim 3 laps under 12 minutes. This poor girl is slow...