J.P. Morgan Asset Management publishes information about financial investments. Over the past 10 years, the expected return for the S&P 500 was 5.04% with a standard deviation of 19.45% and the expected return over that same period for a core bonds fund was 5.78% with a standard deviation of 2.13%.† The publication also reported that the correlation between the S&P 500 and core bonds is −0.32.J.P. Morgan Asset Management also reported that the expected return for real estate investment trusts (REITs) was 13.07% with a standard deviation of 23.17%. The correlation between the S&P 500 and REITs is 0.74 and the correlation between core bonds and REITs is −0.04. (Past performance is no guarantee of future results.)You are considering portfolio investments that are composed of an S&P 500 index fund and REITs as well as portfolio investments composed of a core bonds fund and REITs.1. Using the information provided, determine the covariance between the S&P 500 and REITs and between core bonds and REITs. 2. Construct a portfolio that is 50% invested in an S&P 500 fund and 50% invested in REITs. In percentage terms, what are the expected return and standard deviation for such a portfolio? 3. Construct a portfolio that is 50% invested in a core bonds fund and 50% invested in REITs. In percentage terms, what are the expected return and standard deviation for such a portfolio? 4. Construct a portfolio that is 80% invested in a core bonds fund and 20% invested in REITs. In percentage terms, what are the expected return and standard deviation for such a portfolio?

Answer:

The factors of 9 include: 1, 3, 9

Step-by-step explanation:

Answer:

the factor of 9​: 1, 3, 9

multiples: 18

If A is an invertible matrix, then ATA is also invertible. This is because the determinant of ATA is the product of the determinants of AT and A, and since A is invertible, its determinant is not equal to zero. Therefore, the determinant of ATA is also not equal to zero, which means that ATA is invertible.

1. If A is invertible, then det(A) ≠ 0.
2. The determinant of ATA is equal to the product of the determinants of AT and A, i.e. det(ATA) = det(AT) * det(A).
3. Since A is invertible, det(A) ≠ 0, and det(AT) = det(A), we have det(ATA) = det(A) * det(A) ≠ 0.
4. Therefore, ATA is also invertible.

In conclusion, if A is an invertible matrix, then ATA is also invertible.

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To calculate the total charge within the cylinder with dimensions r=1.5 and h=3, we use the potential function V = 5r + 4 cos Ø in cylindrical coordinates.

The total charge can be obtained by integrating the charge density over the volume of the cylinder.

The potential V within the cylinder is given by V = 5r + 4 cos Ø, where r represents the radial distance from the axis of the cylinder and Ø represents the angle in the cylindrical coordinate system. To calculate the total charge within the cylinder, we need to integrate the charge density over its volume.

The charge density ρ can be related to the potential by ρ = -∇²V, where ∇² is the Laplacian operator. In cylindrical coordinates, the Laplacian operator takes the form:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز + ∂²/∂z²

Since the potential function V does not depend on the z coordinate, the Laplacian reduces to:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز

Applying this operator to the potential function V, we find:

∇²V = (1/r) ∂/∂r (r ∂V/∂r) + (1/r²) ∂²V/∂ز

To find the charge density, we substitute this expression into ρ = -∇²V:

ρ = -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز

To calculate the total charge, we integrate the charge density ρ over the volume of the cylinder:

Q = ∫∫∫ ρ dV = ∫∫∫ -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز dV

The integration is performed over the cylindrical coordinates r, Ø, and z, with appropriate limits. Evaluating this integral will give us the total charge within the cylinder.

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Based on the provided question, it seems like you are asking about the most efficient evaluation method, either by hand or using a computer. To determine which method is the most suitable, you need to consider the complexity of the evaluation process and the number of alternatives.

Using a computer is generally faster and more accurate when dealing with large datasets or complex calculations. On the other hand, evaluating by hand may be more suitable for smaller datasets or simpler calculations. It can provide a more hands-on approach, allowing for a deeper understanding of the evaluation process. However, this method is generally more time-consuming and prone to human error.

To select the most appropriate evaluation method, consider the complexity of the task and the available resources. If the evaluation involves a large amount of data or complex calculations, using a computer would likely be the most efficient choice. However, if the task is relatively simple or involves a smaller dataset, evaluating by hand may suffice. In conclusion, the choice between evaluating by hand or using a computer depends on the complexity of the task and the available resources. Consider these factors to determine the most suitable method.

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Answer:

$0,051667

Step-by-step explanation:

$2.17 / 42 = $0.051667/1spoon

\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ \theta =140 \end{cases}\implies n(140)=180(n-2) \\\\\\ 140n=180n-360\implies 140n+360=180n \\\\\\ 360=40n\implies \cfrac{360}{40}=n\implies 9=n\)

we know that

An equilateral truangle has three equal length sides

so

If triangle ABC is an equilateral triangle

then

AB=BC=AC

so

step 1

Find out the distance AB

The formula to calculate the distance between two points is equal to

we have

A (-4,6)

B (6,6)

substitue in the formula

step 2

Find the distance BC

we have

B (6,6)

C( 1,-3)

substitute the values in the formula

we have that

AB is not equal to BC

therefore

Is not an equilateral triangle

Is not necessary calculate the distance AC

Answer:

the surface area would be 353 in for the pyramid

Step-by-step explanation:

In linear equation, 792, which is the highest possible difference.

What are a definition and an example of a linear equation?

Let m be the digit from 2 to 8.

The larger three digit number will look like 9m1, while the smaller three digit number will look like 1m9.

Assume a three digits number lets say 189.

Then the largest possible three digit number after rearranging above number is 981.

 981 - 189 = 792

Again assume a three digits number lets say 149.

Then the largest possible three digit number after rearranging above number is 941.

 941 - 149 = 792

for m their difference is constant i.e:792, which is the highest possible difference.

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The probability that at most three grafts fail is 0.98 and the probability that at least two grafts fail is 0.1.

To find the probability that at most three grafts fail, we need to find the sum of the probabilities for x = 0, 1, 2, and 3.

Using the given values of f(x), we get:

P(X <= 3) = f(0) + f(1) + f(2) + f(3)

= 0.7 + 0.2 + 0.05 + 0.03

= 0.98

So the probability that at most three grafts fail is 0.98.

To find the probability that at least two grafts fail, we need to find the sum of the probabilities for x = 2, 3, and 4 and subtract it from 1.

Using the given values of f(x), we get:

P(X >= 2) = 1 - (f(0) + f(1)) = 1 - (0.7 + 0.2) = 0.1

So the probability that at least two grafts fail is 0.1

--The question is incomplete, answering to the question below--

"Grafting the uniting of the stem of one plant with the stem or root of another; is widely used commercially to grow the stem of one variety that produces fine fruit on the root system of another variety with hardy root system: Most Florida sweet oranges grow on trees grafted to the root of sour orange variety. The density for X, the number of 'grafts that fail in series of five trials.

For the values of x = 0, 1, 2, 3, and 4 value of f(x) is 0.7, 0.2, 0.05, 0.03, and 0.01 respectively.

Use f(x) to find the probability that at most three grafts fail; that at least two grafts fail."

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Answer:

C. 0.26

Step-by-step explanation:

The volume of the second cone is gotten as; 56π m³

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor.

Volume of cone A = 24π m³

Height of cone A = 6 m

Volume of cone B = B

Height of cone B = 14 m

24π/B = 6/14

Cross multiply to get;

B = (24π * 14)/6

B = 56π m³

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Answer:

D. 40 cm^2

Step-by-step explanation:

The scale factor is a ratio of linear dimensions. The real object's linear dimensions are 2 times the size of the corresponding dimensions in the drawing. For example the length of the object is twice the length of the scale drawing.

The ratio of the areas is the square of the ratio of the linear dimensions.

linear scale factor    1:2

ratio of areas   (1:2)^2 = 1:4

The area of the object is 4 times the area of the scale drawing.

A = 4 * 10 cm^2 = 40 cm^2

The value of the definite integral ∫[a to b] 60te^(-t) dt is -60be^(-b) + 60ae^(-a) - 60e^(-b) + 60e^(-a).

To evaluate the definite integral ∫60te^(-t) dt using integration by parts, we will apply the integration by parts formula:

∫u dv = uv - ∫v du,

where u and v are functions of t, and du and dv are their respective differentials.

Let's assign u = t and dv = 60e^(-t) dt. Then, we can determine du and v:

du = dt (the differential of u)
v = ∫dv = ∫60e^(-t) dt

To find v, we can integrate dv:

∫60e^(-t) dt = -60e^(-t)

Now, we can apply the integration by parts formula:

∫60te^(-t) dt = uv - ∫v du
= t(-60e^(-t)) - ∫(-60e^(-t)) dt
= -60te^(-t) + 60∫e^(-t) dt
= -60te^(-t) - 60e^(-t) + C,

where C is the constant of integration.

Since we are evaluating a definite integral, we can now substitute the limits of integration into the antiderivative expression and compute the result. Let's assume the limits are a and b:

∫[a to b] 60te^(-t) dt = [-60te^(-t) - 60e^(-t)] evaluated from a to b
= (-60be^(-b) - 60e^(-b)) - (-60ae^(-a) - 60e^(-a))
= -60be^(-b) + 60ae^(-a) - 60e^(-b) + 60e^(-a).

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Answer:

You would end at (3, 3).

Explanation:

You would plot your first mark at 3 on a typical xy graph because the first number in ()'s is always x (horizontal line).

Second, because your second mark is y (vertical line), you would plot -2 on the vertical axis.

Your y plot would be 5 more than -2 because you're traveling up five units, giving you (3, 3).

The Michelson-Morley experiment was conducted in 1887 to detect the existence of the luminiferous ether, which was thought to be the medium through which light traveled.

Here is the procedure for the Michelson-Morley experiment:

1. Set up a light source, a half-silvered mirror, two mirrors, and two detectors in a square configuration.

2. Split the light beam using the half-silvered mirror so that one beam goes to one mirror and the other beam goes to the other mirror.

3. Reflect the beams back to the half-silvered mirror and combine them to produce an interference pattern.

4. Rotate the entire apparatus by 90 degrees and repeat the measurement.

5. Compare the interference patterns from the two orientations.

If there is a luminiferous ether, the speed of light should be faster in the direction of the ether flow and slower in the perpendicular direction. This should produce a difference in the interference patterns.

However, the Michelson-Morley experiment showed that there was no difference in the interference patterns, indicating that the luminiferous ether did not exist.

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Total ways to select the books are 24 and   this can be solved using simple permutation and combination.

What is permutation and combination?

By selecting some things from a group and making subsets, permutation and combination area unit 2 approaches to represent a bunch of objects. It outlines the various configurations for a selected set of information. Permutations area unit the choice of information or objects from a group, whereas mixtures area unit the order during which they're painted.

Main Body:

a) 1. First book can be at any of 4 places

   2. Second book can be on any of leftover 3 places

   3. Similarly third book on 2 and forth on 1 place

total : 4*3*2*1 = 24 ways .

other way we have formula 4!/1! =24

b) There are n! ways to choose an order for the books. Once chosen this           order, we have to place k−1 bars between the books to determine where   ends a shelf and begins the next one. This is like rearrange a set of n    books and k−1 bars, and there are (n+k−1, C,n) ways to do this.

⇒(12+4-1 C 4)

⇒¹⁵C₄

⇒7560 ways

hence total no. of ways = 7560.

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The inequality to determine how much more money he needs to save so he can buy the shoes is x ≥ $45

Let x be the amount of money Jordan still needs to save to buy the shoes.

The total cost of the shoes is $75, and Jordan has already saved $30. Therefore, the amount of money he still needs to save is:

x = $75 - $30

Simplifying the right side:

x = $45

So, the inequality that represents how much more money Jordan needs to save is:

x ≥ $45

This means that Jordan needs to save at least $45 more to be able to buy the shoes.

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The probability for green sedan and purple truck can be obtained as  1/3 and 1/6 respectively.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

The probability can be found by looking at the diagram as,

P(Sedan) = 2/3

And,  P(Truck) = 1/3

P(green) = 1/2

P(purple) = 1/2

(a) The probability of green sedan is given as,

P(green sedan) = P(Green) × P(Sedan)

⇒ 1/2 × 2/3 = 1/3

(b) The probability of purple truck is given as,

P(purple truck) = P(purple) × P(truck)

⇒ 1/2 × 1/3 = 1/6

Hence, the required probabilities by spinning are given as 1/3 and 1/6 respectively.

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The perimeter of the figure is equivalent to 8x + 8

The given diagram is a composite figure. The perimeter of the figure is the sum of all the sides.

Taking the sum of all the sides

Sum = 3x - 2 + (x + 6) + (x + 5) + x + (x + 2) + (x - 3)

Sum = (3x + x + x + x + x + x) - 2 + 6 + 5 + 2 - 3

Sum = 8x + 4 + 7 - 3

Sum = 8x + 8

Hence the sum of the perimeter of the figure is 8x + 8

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Answer:

35 x 30 X 27 x 30 is equal to your answer

T A can be seen as a linear transformation from R^2 to R^3.

To find the range and codomain of the matrix transformation T A, we need to first determine the matrix T A . The matrix T A is obtained by multiplying the input vector x by A:

T A (x) = A x

Therefore, T A can be seen as a linear transformation from R^2 to R^3.

To determine the range of T A , we need to find all possible outputs of T A (x) for all possible inputs x. Since T A is a linear transformation, its range is simply the span of the columns of A. Therefore, we can find the range by computing the reduced row echelon form of A and finding the pivot columns:

A =  (\left[\begin{array}{cc}1 & 2 \ 1 & -2 \ 0 & 1\end{array}\right]) ~ (\left[\begin{array}{cc}1 & 0 \ 0 & 1 \ 0 & 0\end{array}\right])

The pivot columns are the first two columns of the identity matrix, so the range of T A is spanned by the first two columns of A. Therefore, the range of T A is the plane in R^3 spanned by the vectors [1, 1, 0] and [2, -2, 1].

To find the codomain of T A , we need to determine the dimension of the space that T A maps to. Since T A is a linear transformation from R^2 to R^3, its codomain is R^3.

If the functions were not linear, it would not make sense to talk about their range or codomain in this way. The concepts of range and codomain are meaningful only for linear transformations.

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Answer:

Step-by-step explanation:

Answer:

answer is below

Step-by-step explanation:

x - 2y = 12

First step is to solve for y, so

\(x - 2y = 12\)

Then, subtract x on both sides to isolate the variable, y.

\(-2y = -x + 12\)

Divide both sides by -2

\(y = \frac{1}{2}x - 6\)

------------------------------------------------------------------------------------------------------

The domain is {-3,-1,0,2,5}

Domain is the set of x values

Range is the set of y values

We are given the domain x, we need to find out the y values using the equation: \(y= \frac{1}{2}x - 6\)

\(y = \frac{1}{2}(-3) -6 = \frac{-15}{2} = -7.5\\\\y = \frac{1}{2}(-1) -6 = \frac{-13}{2} = -6.5\\\\y = \frac{1}{2}(0) -6 = -6\\\\y = \frac{1}{2}(2) -6 = -5\\\\\\y = \frac{1}{2}(5) -6 = -\frac{7}{2} = - 3.5\)

therefore,

when x is -3: y = -7.5

when x is -1: y = -6.5

when x is 0: y = -6

when x is 2: y = -5

when x is 5: y = -3.5

Range is {-7.5, -6.5, -6 , -5, -3.5}

hope this helps and is right :)

p.s. i really need brainliest

Answer:

  b²√(30b)

Step-by-step explanation:

The number 30 has factors 2, 3, 5, so there are no squares.

The square root of the 5th power of b is b^(5/2) = (b^2)(b^(1/2)). That is, the square of b^2 can be removed.

  \(\sqrt{30b^5}=\sqrt{b^4\cdot30b}=\boxed{b^2\sqrt{30b}}\)

Answer:

The answer is $2.14 per pound of apples.

Step-by-step explanation:

7.29/3.4= roughly 2.14.

Answer:

is 24.786

Step-by-step explanation:

multiply the numbers and that's how you get your answer and I use my calculator so I know the answer is 24.786

Answer:

3r^6

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

The probability of drawing three aces in a row without replacement is  0.00018 from a deck of 52 cards.

We know that probability is defined as the ratio of number of favorable outcomes to the total number of outcomes.

We are given that cards are drawn without replacement, it means counts of cards after drawing a single card will change.

We know very well that in a deck of 52 cards, count of aces is 4.

So,probability of drawing a single ace from 52 cards is =4/52.

Now,after drawing a single ace total number of cards reduce to 51 and number of aces counts reduce to 3

So, probability of drawing a single ace from 51 cards = 3/51

Similarly probability of drawing of single ace from 50 cards is =2/50

So, total probability of drawing of three aces is =(4/52) × (3/51) × (2/50)

or P(E)=(1/13) × (1/17) × (1/25) =1 / 5525 =0.00018

Hence, required probability is 0.00018 .

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Answer:

c: Fugitive Slave Act

Step-by-step explanation:

Search on Google.

Answer:

answer is (A) the Kansas Nebraska Act

Step-by-step explanation: