Based on the results, the comparison of the overall performance of the portfolios, from best to worst, is: from "Portfolio 1, Portfolio 2, Portfolio 3". Therefore, the Option C is correct.
We have,
To calculate the weighted mean of the RORs for each portfolio, we need to multiply each ROR by its corresponding investment amount, sum the products, and divide by the total investment amount:
Weighted mean ROR for Portfolio 1:
= ((3.9% x $1,250) + (1.7% x $575) + (10.6% x $895) + (-3.2% x $800) + (8.1% x $1,775)) / ($1,250 + $575 + $895 + $800 + $1,775)
= 5.12%
Weighted mean ROR for Portfolio 2:
= ((3.9% x $950) + (1.7% x $2,025) + (10.6% x $1,185) + (-3.2% x $445) + (8.1% x $625)) / ($950 + $2,025 + $1,185 + $445 + $625)
= 0.04464053537
= 4.46%
Weighted mean ROR for Portfolio 3:
= ((3.9% x $900) + (1.7% x $2,350) + (10.6% x $310) + (-3.2% x $1,600) + (8.1% x $2,780)) / ($900 + $2,350 + $310 + $1,600 + $2,780)
= 0.03550251889
= 3.55%
Based on the results, the comparison of the overall performance of the portfolios, from best to worst, is: from "Portfolio 1, Portfolio 2, Portfolio 3". Therefore, the Option C is correct.
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complete question:
Calculate the weighted mean of the RORs for each portfolio. Based on the results, which list shows a comparison of the overall performance of the portfolios, from best to worst?
A)Portfolio 1, Portfolio 3, Portfolio 2
B) Portfolio 2, Portfolio 3, Portfolio 1
C) Portfolio 1, Portfolio 2, Portfolio 3
D) Portfolio 3, Portfolio 2, Portfolio 1
The area of the triangle is 20cm² and the width is 10cm.What is the height of the triangle? Can someone explain it To me step By step?
Answer:
4
Step-by-step explanation:
The formula of an area of a triangle is:
area = height × width ÷ 2
We can put in the values of the area and width first.
20 = height × 10 ÷ 2
20 = height × 5
Shift the (×5) to the left-hand side of the equation, making it (÷5).
20 ÷ 5 = height
height = 4
Answer:
A=1/2b×h
we have,
b=10 cm
A=20cm2
1/2b×h=20cm2
1/210×h=20
5h=20
h=4cm
The area of a rectangle 12x^2 + 32x square units. If the width can be represented by 3x + 8, write an expression to represent the length of the rectangle.
Answer:
Step-by-step explanation:
The area of a rectangle is length time width.
A=LW
In this case,
A=32x^2+12
W=4x
Solve for L
L=A/W
Substitute
L=(32x^2+12)/4x
L=(8x^2+3)/x
A parabola has focus (5,7) and directrix y=0(the X-axis). Write an equation that says point (x,y) is on the
parabola.
Answer:
Step-by-step explanation:
focus of the parabola is (2,0) and directrix is x=-2. Here,a=2.So, Equation becomes, y2=4∗2x⇒y2=8x, which is the required equation of parabola.
The equation of a parabola with the given focus and directrix is x²-10x+74=14y.
What is an equation of a parabola?A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line
Given that, a parabola has focus (5,7) and directrix y=0.
When the focus (h, k) of a parabola and the equation of the directrix y = c are given, the equation of the parabola is given by (x-h)²+k²-c²=2(k-c)y
Here, y=c=0
Now, (x-5)²+7²-0²=2(7-0)y
x²-10x+25+49=14y
x²-10x+74=14y
Therefore, the equation of a parabola is x²-10x+74=14y.
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Use the following probability distribution to answer the following questions Pa) 0:14 0.1 16 18 5 0.09 0.67 Calculate the mean, Varance, and standard deviation of the distribution You may round your answers to two decimal places, il necessary What is the expected value of the distribution
The expected value of the distribution is 1.98.
Given probability distribution is, \(X 0 1 2 3 4 5\)
Probability \((P(X)) 0.14 0.1 0.16 0.18 0.05 0.09 0.67(i) \\Mean (μ) \\= ∑xP(X)X P(X)0 0.14 1 0.1 2 0.16 3 0.18 4 0.05 5 0.09μ \\= ∑xP(X) \\= (0 × 0.14) + (1 × 0.1) + (2 × 0.16) + (3 × 0.18) + (4 × 0.05) + (5 × 0.09) \\= 1.98\)
Therefore, the mean is 1.98.
(ii) Variance (σ2) \(= ∑ (x - μ)2P(X)x P(X)x - μP(X)(x - μ)2P(X)0 0 - 1.98 (-1.98)2 0.03842 1 0.1 - 1.98 (-0.98)2 0.08408 2 0.16 - 1.98 (-0.98)2 0.08408 3 0.18 - 1.98 (1.02)2 0.18612 4 0.05 - 1.98 (2.98)2 0.22322 5 0.09 - 1.98 (3.98)2 0.28326 σ2 = ∑ (x - μ)2P(X) \\= 0.03842 + 0.08408 + 0.08408 + 0.18612 + 0.22322 + 0.28326 \\= 0.89918\)
Therefore, the variance is 0.89918.
(iii) Standard deviation
\((σ) = √σ2\\= √0.89918\\= 0.9482(approx)\)
Therefore, the standard deviation is 0.9482 (approx).
(iv) Expected value \(= E(X) \\= ∑xP(X)x P(X)0 0.14 1 0.1 2 0.16 3 0.18 4 0.05 5 0.09E(X) \\= ∑xP(X) \\= (0 × 0.14) + (1 × 0.1) + (2 × 0.16) + (3 × 0.18) + (4 × 0.05) + (5 × 0.09) \\= 1.98\)
Therefore, the expected value of the distribution is 1.98.
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Question 1 of 15
A truck travels along a highway. Its distance from the exit, as a function of time, is modeled by y=-50x+75.
Which statement best describes the function?
OA. The function is linear.
OB. Not enough information is given to decide.
OC. The function is nonlinear.
OD. The function is linear at some points and nonlinear at other points.
PLEASE HELP ME QUICK!!!
The function y = - 50x + 75 is linear. So, the correct option is (A).
Define linear function.The formula for a linear function is f(x) = mx + b, where m and b are real values. Isn't it resembling the slope-intercept form of a line, represented by the equation y = mx + b? Yes, this is the case as the graph of a linear function is a line. Here,
The line has a slope of m and a y-intercept of b.
The independent variable is "x."
The dependent variable is "y" (also known as f(x)).
Consider the equation y = - 50x + 75
Compared to the linear function equation, we get
m = -50
b = 75
So, the function is a linear function with a constant change. The function will be linear at all points.
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5.(MC)
A rectangle has a length of 5/16 inches and a width of 25 inches. Find the area of the rectangle. (2 points)
Answer:
2
Step-by-step explanation:
The area of a triangle is equivalent to its length multiplied by its width.
In this example, one way we can look at this is to make everything in terms of two. First, we know that
\(2^{4} = 16\\\sqrt[5]{2^{4}} = \sqrt[5]{16} \\2^{4 (1/5)} = \sqrt[5]{2^{4}}\)
We can establish that last line because x^((y)^(z)) = x^(y*z), as is stated in exponent rules. Therefore, our area is
\(2^{4/5} * 2^{1/5} = 2^{4/5 + 1/5} = 2^{5/5} = 2^{1} =2\)
27°
15
Solve for b.
40°
b
b = [ ?
Round your final answer
to the nearest tenth.
10.59 is the value of the given side b.
In our case, we know that side A has a length of 15 units and is opposite angle A, which measures 27 degrees.
Using the sine rule, we can write:
b/sin(27°) = 15/sin(40°)
To find the value of b, we can rearrange the equation:
b = (15 * sin(27°)) / sin(40°)
evaluate the trigonometric functions and calculate b:
b ≈ 10.59
Therefore, using the sine rule of the triangle, we find that the value of side b is approximately 10.59 units.
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x^3+x^2-10x+8 divided by x+4
please also explain the steps
Answer:
Step-by-step explanation:
Okay, so assuming you have set up your division problem, you first have to find a value that will set x = to x^3. This value is x^2. So, put that above the division symbol. Next, multiply (x +4) by x^2. Then, subtract that answer from x^3 + x^2. You should get -3x^2 - 10x. Then, find a value to get x to -x^2. This value is -3x. So, put that above the division symbol. Multiply (x + 4) by -3x. Then, subtract that value from -3x^2 - 10x. You should get 2x + 8 as your answer. Now find a value to get x to 2x. 2 should work. So, put that above the division symbol. Multiply (x +4) by 2. When subtract your answer from 2x + 8 you get 0. Therefore, the answer is x^2 - 3x +2. Hope this helps!!
Each if the 24 students in Mr. Macons class flipped 3 coins. How many students would you expect to get 3 heads.
Solution
\(n=24\)The probability of getting 3 heads from 3 coins is
\(p=\frac{1}{8}\)The expected value will be
\(\begin{gathered} E(X)=24\times\frac{1}{8} \\ \\ E(X)=3 \end{gathered}\)The answer is 3 students
Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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-10b + 5 = 7b + 5 .
ANSWER ASAP
Show step by step on paper please.
Answer:
your answer should be b= 17
5(2t -3) - 7.5t = 0.5 (12-t) Show your work
Answer:7
Step-by-step explanation:
Can write it as
10t -15 - 7.5t = 6 - 0.5t
2.5t -15 = 6 - 0.5
3t - 15= 6
3t = 21
t= 7
What is the slope of the line that passes through the points (−2,−4) and)(3,−9)? Write your answer in simplest form.
Answer:
The slope is -1
Step-by-step explanation:
Formula for finding slope: \(\frac{rise}{run} = \frac{y2 - y1}{x2-x1}\)
we got the points:
(−2,−4) and)(3,−9)
let's plug them in.
[-9-(-4)] / [3-(-2)] =
-5 / 5 = -1
I need to answer the question
The area of the shape is 331km²
What is area of shape ?The area of shape is the space enclosed within the perimeter or the boundary of a given shape. Area is measured in units².
The shape above can be divided into 4 shapes.
The area of the first triangle = 1/2 bh
= 1/2 × 14 × 21
= 7× 21
= 147km²
The area of the first rectangle = l× b
= 14 × 5
= 70km²
The area of the second triangle = 1/2 bh
= 1/2 × 10× 18
= 10× 9
= 90km²
area of the second rectangle = l × b
= 4 × 6
= 24 km²
area of the shape = 147+90+70+24 = 331km²
Therefore the area of the shape is 331km²
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Is y = 3 the solution to
3y + 10 = -5y – 14
Answer:
No, the solution is -3.
Step-by-step explanation:
3y+10=-5y-14
We move all terms to the left:
3y+10-(-5y-14)=0
We get rid of parentheses
3y+5y+14+10=0
We add all the numbers together, and all the variables
8y+24=0
We move all terms containing y to the left, all other terms to the right
8y=-24
y=-24/8
y=-3
Answer:
y = - 3
Step-by-step explanation:
3y + 10 = - 5y - 14 ( add 5y to both sides )
8y + 10 = - 14 ( subtract 10 from both sides )
8y = - 24 ( divide both sides by 8 )
y = - 3
Given limit of f (x) = negative 4 as x approaches c and limit of g (x) = one-fifth as x approaches c. what is limit of left-bracket startfraction g (x) over f (x) endfraction right-bracket as x approaches c?
It looks like we're given
\(\displaystyle \lim_{x\to c} f(x) = -4\)
\(\displaystyle \lim_{x\to c} g(x) = \frac15\)
Since the limit of f(x) is finite and non-zero, we have by the quotient rule for limits
\(\displaystyle \lim_{x\to c}\frac{g(x)}{f(x)} = \frac{\displaystyle \lim_{x\to c}g(x)}{\displaystyle \lim_{x\to c} f(x)} = \frac{-4}{\frac15} = \boxed{-20}\)
Answer:
D. -1/20
Step-by-step explanation:
Took the quiz and this was the correct answer
You've got this, you're going to get a great grade on this test.
Each side of a regular hexagon has a length of 2 ft 3 in. Find the perimeter of the regular hexagon
Answer:
gdghdhsxjsjsj
Step-by-step explanation:
jcjcjcjcjjcjcjcjcjc
Answer:
t is a regular hexagon of side 2′. So it can be divided into 6 triangles equal in all respects.The sum of all interior angle of hexagon =(n-2)*180 = (6–2)180 =720 deg. each interior angle =720/6 =120 deg.Side of the triangle divides this angle into two equal halves each = 60 deg.when two base angles of each triangle are 60 and 60 third angle will also become 60 making it as equilateral triangle. N ow the area of hexagon =6*the area of each equilateral triangle of base 2 ft.=6*1/2*2*h. h is the altitude of the triangle=2/2*tan 60 = rt3 =1.732 .NOW area of hexagon =6*1.732 = 10.392 sq.ft
5/16=x/64 what is x.
Answer:
5/16=x/64
Step-by-step explanation:
the x is 1280 that is the answer
Answer:
20 even though its not an answer option?
Step-by-step explanation:
It should be since 16x4=64 5x4=20
A man is three times as old as his son.In ten years time their combined ages will be 68 How old is each person
Answer:
22
Step-by-step explanation:
is 22 because 3 times 22 ut maie us 68
Answer:
Let Dad = Y, Son = X
Mathematically, from your statement:
Y = 3X, and (Y+10) + (X+10) = 68
Solving for X in 2nd equation, X = 48-Y
Insert this into first equation and solve for Y:
Y = 3(48-Y)
Y= 144 - 3Y
4Y = 144
Y = 36
Now, solve for X using either equation. I rearranged the 1st equation for X:
X = Y/3
X = 36/3 = 12
The boy is 12 and the dad is 36
Step-by-step explanation:
Hope this helps u
Crown me as brainliest:)
solve the following quadratic equation expression using quadratic formula 32+28x+3x²
The answer of 32+28x+3x² is (x+3)(3x+4).It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" for the absolute term of f. (x).
What is the quadratic equation known by another name?The quadratic equation is known as a "univariate" equation since there is only one unknown in it. The quadratic equation is a polynomial equation because all of the powers of x that it contains are non-negative integers. Given that the largest power is two, the equation is a second degree polynomial.
To determine quadratic equation, we obtain,
32+28x+3x²=0
x=-28±\(\sqrt{28^{2} -4x3x32}\)/2×3
⇒x=\(\frac{-28±20}{2x3}\)
x=-\(\frac{8}{6}\) =-\(\frac{4}{3}\)
and, x=\(\frac{-48}{6}\)=-8
so, x = -\(\frac{4}{3}\) or -8.
32+28x+3x²= a(x-\(x_{1}\))(x-\(x_{2}\))
⇒32+28x+3x²=(3x+4)(x+8).
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the perimeter of a rectangular field is is 84m.If the width of the rectangle is 6m less than the length,then find the dimensions?please friends help!!!!!!!!
Answer:
24
**Solving Steps**
2 x (2 x X - 6) = 84
4x-12=84
84+12=96
96/4 = 24
Hope it helps.
use the accompanying statcrunch session to obtain a simple random sample of 5 high schools in the city of chicago. loading... click on the icon to view the statcrunch session.
Using sampling concepts, one sample of 5 high schools in the city of Chicago is given by:
Brooks, Hyde Park, Young Womens, Marshall, Noble - UIC.
What is the missing information?The problem is incomplete, but researching it on a search engine, it gives us a list of 15 high schools in Chicago, and asks us to take a sample of 5.
What is population and sample?Population: Collection or set of individuals or objects or events whose properties will be studied.Sample: The sample is a subset of the population, and a well chosen sample, that is, a representative sample will contain most of the information about the population parameter. A representative sample means that all groups of the population are inserted into the sample.Hence, from the concepts of sample and populations, the sample of 5 means that we have to select 5 schools from the 15 listed, hence one possible option is given by:
Brooks, Hyde Park, Young Womens, Marshall, Noble - UIC.
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carlos is using a hose to fill a bucket. the path of the water can be represented by the function f(t) where f(t) represents the height of the water in inches and t represents the time in seconds.
Answer:
The function represents the height of the water in the bucket
Step-by-step explanation:
Given
\(f(t) = -t^2 + 4t\)
Required
State what the function represents
From the question, we understand that t represents the time spent while the function illustrates the water level in the bucket.
This implies that f(t) calculates the height of the water in the bucket, given the value of time (t)
Please answer correctly !!!! Will mark brianliest !!!!!!!!
Answer:
(5x+2)(3x-2)
Step-by-step explanation:
15x^2-4x-4
= 15x^2+6x-10x-4
= 3x(5x+2) - 2(5x+2)
= (5x+2)(3x-2)
Answer:
Step-by-step explanation:
I don't say u must have to mark my ans aas brainliest but if it has realy helped u plz don't forget to thank me my friend....
Fifty seven thousand nine hundred and eight
Answer:
Fifty seven thousand nine hundred and eight
57908
HELP PLS Two step equations that equal 11
Answer:
See below
Step-by-step explanation:
I hope this is what you're looking for!
Some examples include:
4x + 5 = 492x - 3 = 197x + 24 = 101What is the probability that a green
car will be chosen out of the
following collection? 12 red cars, 14 blue cars, 11 green
cars, and 20 yellow cars.
Express the answer as a reduced
fraction.
Answer:11/57
Step-by-step explanation:
3
Select the correct answer from the drop-down menu.
Triangle ABC has a perimeter of 40 inches. What is AC?
A
(x+1) in
AC =
18
9
10
27
C
✓in
2x in
(x + 3) in
B
Reset
Next
The length of AC cannot be determined based on the information provided.
The confusion earlier.
Given the information that Triangle ABC has a perimeter of 40 inches, we can proceed to find the length of AC.
Let's assume that AC has a length of x inches.
Since the perimeter of a triangle is the sum of the lengths of its sides, we can set up an equation:
AC + AB + BC = 40
Substituting the values in the equation, we have:
x + AB + BC = 40
Without any additional information or specific lengths for AB and BC, it is not possible to determine the exact value of x or AC.
The lengths of AB and BC could vary, resulting in different values for AC.
the prior haziness.
We can go on to find the length of AC now that we know Triangle ABC has a perimeter of 40 inches.
Assume for the moment that AC is x inches long.
We may create the equation AC + AB + BC = 40 since the perimeter of a triangle is equal to the sum of the lengths of its sides.
With the variables in the equation substituted, we get x + AB + BC = 40.
The exact value of x or AC cannot be calculated in the absence of any more details or precise lengths for AB and BC.
various values for AC might come from various AB and BC lengths.
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Mr.faucet only has $220 left in his bank account until her gets paid friday. But he has a credit card with $3000 limit he can use if mr.fawcett wants to buy a $4000 necklace for his wife ,what will his credit card balance be after the purchase??
HELP
Answer: -1000
Step-by-step explanation:
Rewrite as a single power.
(3^7)^2
Answer:
3^14
Step-by-step explanation:
7x2=14 , we multiply power with each other to get the result