what are the portfolio weights for a portfolio that has 135 shares of stock a that sell for $84 per share and 110 shares of stock b that sell for $82 per share? (do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.1616.) portfolio weight stock a % stock b %

The probability of a randomly selected student completing the test in 45 minutes or less is 15.87%.

The probability of a randomly selected student completing the test in 95 minutes or less is 84.13%.

Using the standard normal distribution to standardize the values:

z = (x - μ) / σ

where:

For 45 minutes or less:

z = (45 - 70) / 25

z = -1

Using a calculator, we can find that the probability of a z-score less than or equal to -1 is approximately 0.1587.

For 95 minutes:

z = (95 - 70) / 25

z = 1

Using a calculator, the probability of a z-score less than or equal to 1 is approximately 0.8413.

Learn more about normal distribution at: https://brainly.com/question/4079902

#SPJ1

Answer:

1.25

Step-by-step explanation:

1.25 you divide 5/4

1.  The simultaneous solution of the given equations is X=12/5 and Y=4/5

2.1)The combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.

2)The combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.

To find the simultaneous solution of the given equations 4X+3Y=12 and 2X+4Y=8, we can use the method of elimination, also known as the addition method. Multiplying the second equation by 2, we get 4X+8Y=16.

Now, we can subtract the first equation from the second equation: 4X+8Y - (4X+3Y) = 8Y - 3Y = 5Y and 16 - 12 = 4. Thus, 5Y=4 or Y = 4/5.

Substituting this value of Y in any of the two equations, we can find the value of X. Let's substitute this value of Y in the first equation: 4X+3(4/5)=12 or 4X

= 12 - (12/5)

= (60-12)/5

= 48/5.

Thus, X = 12/5. Hence, the simultaneous solution of the given equations is X=12/5 and Y=4/5.2. To find the optimal values of X and Y that will maximize the objective function Z=$10X+$50Y, we need to use the method of linear programming.

First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 3X+4Y=12, 2X+5Y=10, X=0, and Y=0.

To find the optimal solution, we need to evaluate the objective function at each of the corner points of the feasible region, and choose the one that gives the maximum value.

Let's denote the corner points as A, B, C, and D, as shown above. The coordinates of these points are: A=(0,3), B=(2,1), C=(5/2,0), and D=(0,0). Now, let's evaluate the objective function Z=$10X+$50Y at each of these points:

Z(A)=$10(0)+$50(3)

=$150, Z(B)

=$10(2)+$50(1)

=$70, Z(C)

=$10(5/2)+$50(0)

=$25, Z(D)

=$10(0)+$50(0)=0.

Thus, we can see that the maximum value of Z is obtained at point A, where X=0 and Y=3. Therefore, the combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.

To find the combination of X and Y that will provide a minimum for the problem Minimize Z=X+5Y subject to: 4X+3Y≥12 and 2X+5Y≥10, we need to use the same method of linear programming as above.

First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 4X+3Y=12, 2X+5Y=10, X=0, and Y=0.

To find the optimal solution, we need to evaluate the objective function Z=X+5Y at each of the corner points of the feasible region, and choose the one that gives the minimum value.

Let's denote the corner points as A, B, C, and D, as shown above.

The coordinates of these points are: A=(3,0), B=(5,1), C=(0,4), and D=(0,0).

Now, let's evaluate the objective function Z=X+5Y at each of these points:

Z(A)=3+5(0)=3,

Z(B)=5+5(1)=10,

Z(C)=0+5(4)=20,

Z(D)=0+5(0)=0.

Thus, we can see that the minimum value of Z is obtained at point A, where X=3 and Y=0. Therefore, the combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.

Know more about   equations  here:

https://brainly.com/question/25976025

#SPJ8

Answer:

First 4 terms are a, 3a, 3^2 a and 3^3 a.

The numbers are:

4, 12, 36, 108.

Step-by-step explanation:

This is a geometric sequence and we can write it as:

a, ar, ar^2, ar^3      <---- the first 4 terms.

Here the common ratio r = 3 and the 4th term is 108 so:

a(3)^3 = 108

So the first term a =  108 / 3^3

= 108/27

= 4.

So the second number = 3*4 = 12  and 3rd is 12*3 = 36.

Answer:

27,000 meters

Step-by-step explanation:

The derivative of y = (5x6 − 3x4 + 2x2 − 1)(4x9 + 3x7 − 5x2 + 4x) is (30x^5 - 12x^3 + 4x)(4x^9 + 3x^7 - 5x^2 + 4x) + (5x^6 - 3x^4 + 2x^2 - 1)(36x^8 + 21x^6 - 10x + 4).

Using the product rule of differentiation, we have:

y' = (5x^6 - 3x^4 + 2x^2 - 1)'(4x^9 + 3x^7 - 5x^2 + 4x) + (5x^6 - 3x^4 + 2x^2 - 1)(4x^9 + 3x^7 - 5x^2 + 4x)'

Taking the derivative of the first term using the power rule, we get:

(5x^6 - 3x^4 + 2x^2 - 1)' = 30x^5 - 12x^3 + 4x

Taking the derivative of the second term using the product rule, we get:

(4x^9 + 3x^7 - 5x^2 + 4x)' = 36x^8 + 21x^6 - 10x + 4

Therefore, we have:

y' = (30x^5 - 12x^3 + 4x)(4x^9 + 3x^7 - 5x^2 + 4x) + (5x^6 - 3x^4 + 2x^2 - 1)(36x^8 + 21x^6 - 10x + 4)

To learn more about derivative here:

https://brainly.com/question/25324584

#SPJ4

Answer:

Step-by-step explanation:

Given:

Work:

Hence, the solution to the expression with x = 4.5 is 60.

Hoped this helped.

\(BrainiacUser1357\)

1. I based my decision on allocating points to maximize my own score, while also considering the potential benefits of contributing to the group fund.

2. The best outcome for me would be allocating the minimum points required to the GIVE account, while putting the majority in the KEEP account. This would ensure I receive the most points for myself.

3. The best outcome for the group would be if both participants maximized their contributions to the GIVE account. This would create the largest group fund, resulting in the most redistributed points and highest average score.

4. There are parallels with risk management strategies. Individuals may act in their own self-interest, but a larger group benefit could be achieved if more participants contributed to "group" risk management strategies like vaccination, safety protocols, insurance policies, etc. However, some individuals may free ride on others' contributions while benefiting from the overall results. Incentivizing group participation can help align individual and group interests.

Answer: It is false, the diameter is not 16 m.

Step-by-step explanation:

P 4m are 8 m are 32 m away. The diameter= 32 m.

(I hope its rights!!!)

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

a) When the number of chirps per minute, c = 110, then the outdoor temperature is 67.5°F.

b) If outdoor temperature is, f at least 55° F, then 60 chirps we can expect to hear in a minute at that temperature.

c) The graph for linear function, f = (1/4)c + 40, is present above.

d) The cofficient of linear function/ equation represents the slope of linear equation.

A function is a relationship that exists between two variables, where one variable depends on the other.

The linear equation is f = (1/4)c + 40 ----(1)

where, c--> the number of chirps per minute, that the tree cricket makes is linearly dependent on f.

f--> the temperature in Fahrenheit.

a) When number of chirps per minute,c = 110. We have to determine the outdoor temperature in degrees Fahrenheit. Substitute the value c = 110 in equation (1),

=> f = 1/4×110 + 40

=> f = 27.5 + 40

=> f = 67.5

So, required value is 67.5° F.

b) The outdoor temperature is, f at least 55° F, i.e., f = 55° F

Substitute f value in equation (1),

=> 55 = (1/4)c + 40

=> 55 - 40 = (1/4)c

=> (1/4)c = 15

=> c = 4× 15

=> c = 60

c) On the coordinate plane, graph that represents the relationship between the number of chirps, c and the temperature, f is attached in above figure.

d) The cofficient 1/4 in linear equation represents the slope of equation, df/dc that is change in outdoor temperature (°F) per crickets chirp in minutes. Hence, the required cofficient represents slope.

For more information about linear function, visit :

https://brainly.com/question/2248255

#SPJ4

Complete question:

In places where there are crickets, the outdoor temperature can be predicted by the rate at which crickets chirp. One equation that models the relationship between chirps and outdoor temperature is f = (1/4)c + 40, where c is the number of chirps per minute and f is the temperature in degrees Fahrenheit.

a). Suppose 110 chirps are heard in a minute. According to this model, what is the outdoor temperature?

b) The equation is only a good model of the relationship when the outdoor temperature is at least 55∘F. (Below that temperature, crickets aren't around or inclined to chirp.) How many chirps can we expect to hear in a minute at that temperature?

c) On the coordinate plane, draw a graph that represents the relationship between the number of chirps and the temperature.

d) Explain the cofficient 1/4 in equation tells us about relationship.

Answer:

t ≤ 4x + 10

Step-by-step explanation:

The amount of money that Josh spends on rides is the variable T, found in the problem. Josh wants to spend AT MOST t. That means he can spend as little as he wants, but he can't ride too many times so that the cost goes over T. Therefore, it has to be less than. But, it can also be equal to, as he can ride exactly many rides up to T,  it just can't go over it.

Next, the cost to get into the fair is ten dollars, meaning if he goes on only one ride, that will cost him 4 dollars, but actually will have cost him 14 dollars because of the entrance fee. So, no matter how many rides he goes on, there is always the entrance fee added on.

Finally, the cost for each ride is 4 dollars per ride or 4 times x with x being the number of rides he goes on.

So, for our answer, we have t ≤ 4x + 10!

To best collect a sample of books from the 13,000 titles at the bookstore, Miguel should use a cluster sampling method.

The best sampling method Miguel should use is a cluster sample.

A cluster sample involves dividing the population into clusters or groups and randomly selecting entire clusters to include in the sample.

In this situation, Miguel could divide the bookstore's titles into clusters, such as by genre or shelf location, and randomly select clusters to sample books from.

his method would help ensure representation from different areas of the bookstore and provide a diverse sample of books.

Learn more about sampling methods at: https://brainly.com/question/24466382

#SPJ4

On solving the provided question, we can say that equation is  z = x-u/p => z = 300-348/80 = 0.65, The z score for a per - day expense of $400 is 0.65

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

The z score for a $400 per day charge is 0.65, but around 84.13% of hotels cost more than $268.

The z score is used to calculate how many standard deviations above or below the mean the raw score is. Giving the z score are:

equation is

z = x-u/p

u = mean, x = raw score, p standard deviation

z = 300-348/80 = 0.65

The z score for a per - day expense of $400 is 0.65

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

I think it’s -5

Mr. McMahon expected a semi-annual probability of default of 35.7% on the bond.

How to solve?

To solve this problem, we can use the formula for the present value of a bond:

PV = (C/r) ×[1 - 1/(1+r)²n] + F/(1+r)²n

where PV is the present value of the bond, C is the semi-annual coupon payment, r is the semi-annual yield rate, n is the number of semi-annual periods, and F is the face value or redemption value of the bond.

We know that Mr. McMahon paid $880 for a $1000 bond, so the present value of the bond is PV = $880. The redemption value of the bond is F = $1000, and the yield rate that he desired was r = 8% per year, compounded semi-annually. Therefore, the semi-annual yield rate is:

i = 0.08/2 = 0.04

We can use the formula to solve for the number of semi-annual periods:

PV = (C/i) ×[1 - 1/(1+i)²n] + F/(1+i)²n

$880 = ($45/i) ×[1 - 1/(1+0.04)²(220)] + $1000/(1+0.04)²(220)

Solving for i gives:

i = 0.0517 or approximately 5.17%

This is the semi-annual yield rate that Mr. McMahon actually received on the bond. To find the semi-annual probability of default that he expected, we can use the formula for the expected yield rate of a bond:

yield = (1 - probability of default) ×(yield rate on the bond) + (probability of default) ×(recovery rate)

where the recovery rate is the percentage of the face value that would be recovered in the event of default.

Assuming that the recovery rate is zero (meaning that in the event of default, Mr. McMahon would receive nothing), we can solve for the probability of default:

0.08 = (1 - p) ×0.0517 + p ×0

Solving for p gives:

p = 0.357 or approximately 35.7%

Therefore, Mr. McMahon expected a semi-annual probability of default of 35.7% on the bond.

To know more about Compound Interest related question visit:

https://brainly.com/question/14295570

#SPJ1

Answer:

282.5 hours

Step-by-step explanation:

14 books needs 113 hours

35 books needs x hours

x=(35×113)/14 = 3955/14 = 282.5 hours

Answer:

3 1/5

Step-by-step explanation:

k12 quiz 1.13

Recall the following identities:

sin²(x) = (1 - cos(2x))/2

cos²(x) = (1 + cos(2x))/2

Then

sin²(π/8) = (1 - cos(π/4))/2 = (1 - 1/√2)/2

cos⁴(3π/8) = (cos²(3π/8))² = ((1 + cos(3π/4))/2)² = ((1 - 1/√2)/2)²

and so

sin²(π/8) - cos⁴(3π/8) = (1 - 1/√2)/2 - ((1 - 1/√2)/2)²

… = (1 - 1/√2)/2 • (1 - (1 - 1/√2)/2)

… = (2 - √2)/4 • (1 - (2 - √2)/4)

… = (2 - √2)/16 • (4 - 2 + √2)

… = (2 - √2)(2 + √2)/16

… = (4 - 2)/16

… = 1/8

Please attached a diagram drawn with MS Word based on the question parameters, and from a diagram from a similar question.

The length of the rectangle that contains 10 identical squares and has a width of 15 centimeters is 21 centimeters

A square is a quadrilateral that has four sides of the same length and the the four interior angles are each equal to 90°.

Some parts of the question appear missing, please find attached the design of a rectangle based on a similar GCSE question online. The width of the rectangle = 15 cm

The number of squares = 10

The number of squares that make up the width from the drawing = 5

The side length of the square is therefore; 15 cm ÷ 5 = 3 cm

The number of squares that make up the length of the rectangle = 7

The length of the rectangle is therefore, L = 7 × 3 cm = 21 cm

The length of the rectangle = 21 centimeters

Learn more abut the dimensions of regular figures here:

https://brainly.com/question/28107004

#SPJ1

The restriction of the given equation is \(cos^{2}x =cos^{2} x\),  other than 0≤x≤2π.

What is restriction of equation?

Restriction of the equation is the value of domain where the value is limited.

Given,

\(sin^{2} xcos^{2}x +cos^4x =(1-sinx)(1+sinx)\)

taking \(cos^2x\) common, we get

\(cos^2x(sin^2x+cos^2x)=1+sinx-sinx-sin^2x\)

we know

\(sin^2x+cos^2x=1\\cos^2x=1-sin^2x\)

we get,

\(cos^2x=cos^2x\)

and the restriction is 0≤x≤2π.

To know more restriction, visit:

https://brainly.com/question/68084

#SPJ1

Answer:

since , 9^x / 9^3 = 9^5

and since there is a law for exponents that says if the bases of the exponent are equal and divided by each other we subtract the exponents

, so 9^x-3 = 9^5

then x-3 =5 , therefore the final answer will be X= 8 .

Answer:

(0,1/3)

(1,0)

(2,-1/3)

Step-by-step explanation:

The coordinate pair for a point on the given equation 2x + 6y = 2 is (1, 0) and (4, -1).

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The equation of the line is given as

2x + 6y = 2

Let x = 1, then the value of y will be

2 + 6y = 2

       y = 0

Let x = 4, then the value of y will be

8 + 6y = 2

       y = -1

Then the coordinate will be given as (1, 0) and (4, -1).

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

Answer:

It's asking you to write it in the correct order. This means higher power values go first.

Your answer would be A. The first one.

The volume of the pyramid is 3733.33 m³.

Having a square base and four lateral sides, a square pyramid is a type of pyramid in geometry. Having three or more triangular faces that intersect above its base, a pyramid is a particular kind of polyhedron (the apex).

The building is in the shape of a square pyramid.

The base of the building is 20 meters long.

The height of the building is 28  meters.

The volume of the right square pyramid is given as:

V = ( 1/3)a²h

Where a is the base and h is the height.

Now we have,

a = 20 m and h = 28 m

So,

V = ( 1/3 ) × 20 × 20 × 28

V = ( 1/3 ) × ( 20 )² × 28

V = 11200/3

V = 3733.33 m³

Learn more about volume here:

brainly.com/question/12146629

#SPJ9

Answer:

Step-by-step explanation:

Supplementary angles- angles that equal 180

AOC is 44+56

AOC=100

EOB clearly is more than 100 degrees seeing as its wider than AOC so a is not true

Complementary angles- angles that equal 90

AOC is 100 degrees and BOC is 56

thats more than 90 so thats not true either.

Adjacent angles- angles with a common side and vertex and don't overlap. They do not need to have the same measure or add up to anything.

Both EOD and DOC share a vertex, O, and a side, OD, showing they are adjacent making the answer true.

The answer would be C. no, no, yes

The price of a senior citizen ticket is 12 and  the price of a student ticket is 6.

Two or more expressions with an Equal sign is called as Equation.

The first day of ticket sales the school sold 1 senior citizen ticket and 7 student tickets for a total of $54.

x+7y=54

x=54-7y

The school took in $156 on the second day by selling 6 senior citizen tickets and 14 student tickets.

6x+14y=156

6(54-7y)+14y=156

324-42y+14y=156

324-28y=156

Subtract 156 on both sides

168-28y=0

168=28y

y=6

Now x=54-7y

x=54-7(6)=54-42

x=12

Hence,  the price of a senior citizen ticket is 12 and  the price of a student ticket is 6.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1