help please brainly!!!!!!!!!!!!!

Help Please Brainly!!!!!!!!!!!!!

Answers

Answer 1

The kWh used is the difference between the previous and present meter reading. The kWh used are :

Household A = 138Household B = 525Household C = 333

Obtaining Difference in meter reading

kWh used = Present reading - Previous reading

Household A = 2288 - 2150 = 138

Household B = 7810 - 7285 = 525

Household C = 4938 - 4605 = 333

Therefore, the power consumed in kWh by the three households is 138, 525 and 333 respectively.

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Related Questions

URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS

Answers

The point (2, 5) is a solution to the system of equations: y = x + 2.

Let's test each system of equations:

y = x - 8

2x + y = 7

Substituting x = 2 and y = 5 into the equations:

5 = 2 - 8 (not true)

2(2) + 5 = 7 (not true)

The point (2, 5) is not a solution to this system of equations.

y = x + 2

y = x + 5

y = -1/2 * x + 6

y = 3x - 1

y = 2/3 * x + 6

Substituting x = 2 and y = 5 into the equations:

5 = 2 + 2 (true)

5 = 2 + 5 (not true)

5 = -1/2 * 2 + 6 (not true)

5 = 3 * 2 - 1 (not true)

5 = 2/3 * 2 + 6 (not true)

The point (2, 5) is a solution to the equation y = x + 2.

3y + 6x - 18 = 0

Substituting x = 2 and y = 5 into the equation:

3(5) + 6(2) - 18 = 0

15 + 12 - 18 = 0

27 - 18 = 0

9 = 0 (not true)

The point (2, 5) is not a solution to this equation.

Based on the tests, the point (2, 5) is a solution to the system of equations: y = x + 2.

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Use the information to complete the task.
A store wants to sell 5 kilograms of oranges in one week. The store has sold 12 kilograms of oranges so far. How many more kilograms of
oranges does the store need to sell?
Make an equation to show the number of kilograms of oranges that the store needs to sell. Move numbers and a symbol to the blanks to
make the equation. If there is no whole number, put a 0 in the first box.
-08
0
1
2
5
7

8
711
10

Answers

The equation representing the number of kilograms of oranges that the store needs to sell is: Remaining kilograms = -7 kg.

To determine the number of kilograms of oranges that the store still needs to sell, we can subtract the amount of oranges already sold from the target amount of oranges.

Let's denote the target amount of oranges as T and the amount of oranges already sold as S.

According to the information given, the store wants to sell 5 kilograms of oranges in one week, so T = 5 kg.

The store has already sold 12 kilograms of oranges, so S = 12 kg.

To find the remaining amount of oranges that the store needs to sell, we subtract S from T:

Remaining oranges = T - S

Substituting the values, we have:

Remaining oranges = 5 kg - 12 kg

Calculating the difference, we get:

Remaining oranges = -7 kg

The result is -7 kg, indicating that the store has sold more oranges (12 kg) than the target amount (5 kg). Therefore, the store needs to sell an additional 7 kilograms of oranges to reach its target.

In the equation form, we can write it as:

Remaining kilograms = Target kilograms - Sold kilograms

= 5 kg - 12 kg

= -7 kg

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Question 2 of 20
Lexi wants to open an account where she can access the funds she needs to
pay her rent and other bills any time she wants. Which type of account would
be the best option for Lexi?
OA. A checking account
OB. A certificate of deposit
OC. A savings account
D. A money market account
SUBMIT

Answers

A Checking account will be the best option for lexi.

Given,

Lexi wants to open an account where she can access the funds she needs to pay her rent and other bills any time she wants.

Now,

Checking account:

A checking account offers easy access to your money for your daily transactional needs and helps keep your cash secure. Customers can typically use a debit card or checks to make purchases or pay bills.Standard checking account may be best for some, as it provides easy access to your funds and often has lower minimum balance requirements. Additionally, checking accounts may offer additional features, such as debit cards and online bill pay, that can make banking easier.

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I need help quick plssss

Answers

Answer:

Grapes: 7/15 pound. Cherries: 1/6 pound.

Step-by-step explanation:

The total weight of the fruits is 7/10 of a pound. The weight of the grapes is 2/3 of the total weight. Therefore, the weight of the grapes is 2/3 * 7/10 = 14/30 = 7/15 of a pound. The weight of the cherries is 7/10 - 7/15 = 1/6 of a pound.

What is the shaded area

Answers

Answer:

4,788

Step-by-step explanation:

Do you do college tests on gogle forms?
The shaded area is the total minus the unshaded. The total area is ( 8 * 12 ) * ( 5 * 12 ) or 96 * 60 = 5760. The unshaded area is 27 times 36, which is 972. Note that the picture is not to scale.

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Does the series converge or diverge? If it converges, what is the sum? Show your work.

Answers

Step-by-step explanation:

This is a geometric series where our common ratio is -1/2, and a is -4

Since r is less than -1, this series converges so

The sun is

[tex] \frac{ - 4}{1 + 0.5} [/tex]

[tex] \frac{ - 4}{1.5} = - \frac{8}{3} [/tex]

The sum is -8)3

a circle has a radius of 12 inches. find the area of the sector if its central angle is 60 degrees

Answers

24π cm2
So, area of the sector =60360∘×π×12×12=24π cm2.

El resultado de la operación X= 2/3+4/5+6/7+1/9

Answers

Hola!

2/3 + 4/5 + 6/7 + 1/9
= 6/9 + 4/5 + 6/7 + 1/9

= 7/9 + 4/5 + 6/7

= 7/9 + 28/35 + 30/35

= 7/9 + 58/35

= 245/315 + 522/315

= 767/315

Please help math probabilities! ASAP 20 points and give brainliest!

Answers

Answer:

(1) = 1/3

(2) = 1/2

(3) = .14

Step-by-step explanation:

(1)

two number cubes are rolled:

probability that the first lands on a number less than 5 = 4/6 = 2/3

probability that the second lands on an even number = 3/6 = 1/2

probability for both number cubes = 2/3 * 1/2 = 2/6 = 1/3

(2)

tree diagram:

first coin                  second coin                           third coin

H                               H                                            HHH

                                                                                HHT

                                 T                                             HTH

                                                                                HTT

T                                H                                            THH

                                                                                THT

                                 T                                             TTH

                                                                                 TTT

Theoretical probability of heads coming up exactly 2 times in 3 coin flips

= 4/8 = 1/2

(3)

probability that the first character is a letter = 1/7 = .1428

decimal rounded to the nearest hundredth = .14

Which transformation represents a reflection over the y = × line?
A. (x, y) - (-x, y)
B. (x, y) -+ (-x, -y)
C. (x,y) → (y, x)
D. (x, y) -+ (y, -x)

Answers

The transformation represents a reflection over the y = × line.

A. (x, y) → (-x, y)

A reflection over the y-axis is a transformation that flips a point or shape across the vertical line y = 0.

This means that points on the right side of the y-axis will be reflected to the left side, and vice versa.

Let's examine each option to determine which one represents a reflection over the y-axis.

A. (x, y) → (-x, y):

This transformation reflects the point across the y-axis.

For example, if we have a point (3, 2), after applying this transformation, it becomes (-3, 2).

This represents a reflection over the y-axis.

B. (x, y) → (-x, -y):

This transformation not only reflects the point across the y-axis but also flips it vertically.

For example, if we have a point (3, 2), after applying this transformation, it becomes (-3, -2).

This represents a reflection over the y-axis.

C. (x, y) → (y, x):

This transformation swaps the x and y coordinates of a point, which does not represent a reflection over the y-axis.

Instead, it represents a 90-degree rotation of the point.

D. (x, y) → (y, -x):

This transformation swaps the x and y coordinates of a point and negates the new x-coordinate.

It does not represent a reflection over the y-axis.

Instead, it represents a 90-degree rotation of the point in the counterclockwise direction.

Based on the explanations above, both options A and B represent a reflection over the y-axis.

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Given the circle below with chords OP and QR. Find the length of PS. Round to
the nearest tenth if necessary.
Q
20
39
S
22
R

Answers

The value of segment SP in the circle is 13.4.

Given is a circle with chords OP and QR, intersecting S, where QS = 19, QS = 15 and SR = 17 we need to find the value of SP,

To find the value of SP, we can use the property of intersecting chords in a circle, which states that when two chords intersect inside a circle, the product of the segments of one chord is equal to the product of the segments of the other chord.

In this case, we have two chords OP and QR intersecting at point S. Let's denote the lengths of the segments as follows:

QS = 19

QS = x (where S is the intersection of QR and OP)

SR = 17

SP = y (the segment we want to find)

According to the property mentioned above, we have:

QS × QS = QR × SR

15 × 17 = 19 × SP

SP = 15 × 17 / 19

SP = 13.4

Hence the value of segment SP in the circle is 13.4.

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If the cost of my building is 85,000, my scrap value is 7,500 and the expected life is 31.5 years. What is the depreciation for one month. I'd like the answer and the formula.
205 was not the answer.

Answers

The depreciation for one month is approximately $205.03.

To calculate the depreciation for one month, we can use the straight-line depreciation method. The formula for straight-line depreciation is:

Depreciation per period = (Initial cost - Scrap value) / Expected life

Given that the cost of the building is $85,000, the scrap value is $7,500, and the expected life is 31.5 years, we can plug these values into the formula:

Depreciation per period = ($85,000 - $7,500) / 31.5

Simplifying the equation, we get:

Depreciation per period = $77,500 / 31.5

Dividing $77,500 by 31.5, the depreciation per period is approximately $2,460.32.

To find the depreciation for one month, we need to divide this amount by 12 (since there are 12 months in a year):

Depreciation per month = $2,460.32 / 12

Therefore, the formula for calculating the depreciation for one month using the straight-line method is: Depreciation per month = (Initial cost - Scrap value) / (Expected life in years * 12 months).

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Give one pair of vertical angles and one pair of supplementary angles shown in the figure below.

Answers

Answer:

see explanation

Step-by-step explanation:

vertical angles are angles on the opposite side at a vertex of 2 lines.

1 and 6 , 2 and 5 , 3 and 8 , 4 and 7 are all vertical angles

supplementary angles sum to 180°

adjacent angles on a straight line sum to 180°

1 and 2 , 3 and 4 , 5 and 6 , 7 and 8 are examples of supplementary angles.

1.1.3. How many litres of milk does Lihle need to make 120 cupcakes? (2)​

Answers

Lihle would need 30 liters of milk to make 120 cupcakes.

To determine the amount of milk Lihle needs to make 120 cupcakes, we can calculate the total milk requirement by multiplying the milk quantity per cupcake by the number of cupcakes.

Given that the recipe requires 250 milliliters (ml) of milk per cupcake, we can proceed with the calculation:

Convert milliliters to liters:

Since there are 1,000 milliliters in a liter, we divide 250 ml by 1,000 to get the milk quantity per cupcake in liters, which is 0.25 liters.

Multiply the milk quantity per cupcake by the total number of cupcakes: Multiply 0.25 liters (milk per cupcake) by 120 cupcakes.

0.25 liters/cupcake [tex]\times[/tex] 120 cupcakes = 30 liters.

Therefore, Lihle would need 30 liters of milk to make 120 cupcakes in a US curriculum class.

It's important to note that this calculation assumes the given milk requirement of 250 milliliters per cupcake and does not consider any other ingredients or variations in the recipe.

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The complete question may be like: Assuming that the recipe requires 250 milliliters (ml) of milk per cupcake, how many liters of milk does Lihle need to make 120 cupcakes in a US curriculum class?

What is the radius of a circle of circumference 2,74m​

Answers

Answer:

Step-by-step explanation:

The formula to calculate the circumference of a circle is given by C = 2πr, where C represents the circumference and r represents the radius. Rearranging the formula, we have r = C / (2π).

Substituting the given circumference of 2.74 m into the formula, we get:

r = 2.74 m / (2π) ≈ 0.4367 m

Therefore, the radius of a circle with a circumference of 2.74 m is approximately 0.4367 meters.

Helppp meee Pleaseee

Answers

Answer:

4

Step-by-step explanation:

I like to use the FOIL method! I've attached a quick picture of how it works below, but basically you multiply the first terms. Next, multiply the outside/outer terms. Then, multiply the inside/inner terms. Lastly, you multiply the last terms.

In this question, the binomial is (x + 2)².

You can expand this to be (x + 2)(x + 2).

When you expand it using the FOIL method, you get x times x, which is .

Next, the outside/outer terms are x and 2, which is 2x.

Then, you multiply the inside/inner terms 2 and x, which is 2x.

Last, you multiply the last terms, which are 2 and 2, which is 4.

When you put them together, it looks like this:

x² + 2x + 2x + 4.

You can simplify this to x² + 4x + 4.

So your answer is 4.

53000 divided by ? = 53

Answers

Answer:

1000

Step-by-step explanation:

53*1000-53000 so it is correct answer

Hello!

[tex]\underline{\Large \textbf{Formula:}}\\\\\sf ~a\div~b=c\\\\b = \dfrac{a}{c} \\\\\\\underline{\Large \textbf{Application:}}\\\\ 53000~ \div~x~=~53\\\\x = \dfrac{5300}{53} \\\\x = 100\\\\\\\underline{\Large \textbf{Explanation:}}\\\\\\sf ~a\div~b=c\\\\\sf ~a\div~b~\times~b=c~\times~b\\\\a = c~\times~b\\\\a ~\div~c= c~\times~b~\div~c\\\\b = \dfrac{a}{c}\\\\\\\underline{\Large \textbf{Answer:}}\\\\\boxed{\Large \textbf{the number is 100}}[/tex]

according to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570what was the number of number of female population

Answers

According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.

To find the wide variety of girl population, we will subtract the quantity of male population from the full population.

Total population = 88,51,84,692

Number of male = 45,40,34,570

Number of female = Total population - Number of male

= 88,51,84,692 - 45,40,34,570

= 43,11,50,122

Therefore, the number of female population is 43,11,50,122.

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You will need ____ ml of the 90%

Answers

The required volume of 90% alcohol mixture required to prepare the 40% alcohol solution is 33.33mL

Proportion of mixture

Volume of 30% mixture = 300mL

Volume of 90% mixture = y

Percentage of alcohol solution needed = 40%

300(0.3) + y(0.9) = 40%

300(0.3) + 0.9y = 0.4(300)

90 + 0.9y = 120

Collect like terms

0.9y = 120 - 90

0.9y = 30

Divide both sides by 0.9 to isolate y

y = 30/0.9

y = 33.33 mL

Therefore, the volume of 90mL alcohol solution required to make the 40% alcohol mixture is 33.33mL.

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Brothers Jason and Neil go out for pizza. Jason chooses a rectangular piece of pizza measuring 10 cm by 15 cm. Neil’s piece will be cut from a circular pizza with diameter 30 cm. Neil wants his piece to be the same size as Jason’s. What angle should be made at the centre of the pizza?

Answers

The angle at the center of the circular pizza should be approximately 240.01° to make Neil's piece the same size as Jason's rectangular piece.

To determine the angle that should be made at the center of the circular pizza to obtain a piece the same size as Jason's rectangular piece, we need to compare the areas of the two shapes.

The area of Jason's rectangular piece is given by length times width, which is 10 cm × 15 cm = 150 cm².

The area of Neil's circular piece is given by the formula for the area of a circle, which is π times the square of the radius (A = πr²). Since the diameter is 30 cm, the radius is half of that, which is 15 cm. Thus, the area of Neil's piece is π × (15 cm)² =225π cm².

To make Neil's piece the same size as Jason's, we set up the equation:

150 cm² = 225π cm²

Now we solve for π:

π = 150 cm² / (225 cm²)

π ≈ 0.6667

To find the angle, we use the relationship between angles and the fraction of the circle's circumference they cover. Since π represents the fraction of the circumference, the angle is:

Angle = π × 360° ≈ 0.6667 × 360° ≈ 240.01°

Therefore, the angle at the center of the circular pizza should be approximately 240.01° to make Neil's piece the same size as Jason's rectangular piece.

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() Is the following a statistical question?
) How many legs does an ant have?
yes
No

Answers

Answer:

Yes!

Step-by-step explanation:

A statistical question is a question that can be answered by collecting data that vary

Which expression represents a cube root of 1 + i?
OVE (cos()+ i sin (24))
OVE (cos (37) + i sin (3))
/
O & (cos (4) + i sin (24))
V2 (cos (37) + 1 sin (37))

Answers

Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

[tex]\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)[/tex]

Step-by-step explanation:

The analysis is as attached below.

Question 3 of 10
The estimate obtained from a sample of which of the following sizes would
most likely be closest to the actual parameter value of a population?
K
A. 75
OB. 15
O C. 150
OD. 45

Answers

The sample that would have an estimate that is likely closest to the actual value of the population is C. 150.

Why would this sample be better ?

The size of the sample has a direct impact on the likelihood of obtaining an estimate that closely approximates the actual parameter value of the population.

In this context, a larger sample size, such as the one in option C with a magnitude of 150, is more inclined to yield an estimate that is nearest to the true parameter value. The rationale behind this lies in the fact that a larger sample size mitigates the effects of sampling error, resulting in a more accurate and representative depiction of the entire population. Consequently, the estimate derived from a sample of 150 would be expected to offer a higher level of precision and proximity to the actual parameter value.

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What is the value of the rational expression below when x is equal to 5? 15-x x-10 A. 10 B. -2 C. -10 D. 2​

Answers

The correct answer is B. -2.

To evaluate the rational expression (15-x) / (x-10) when x is equal to 5, we substitute 5 for x in the expression:

(15 - 5) / (5 - 10)

Simplifying further:

(10) / (-5)

The simplified expression is -2.

Therefore, the value of the rational expression when x is equal to 5 is -2.

The correct answer is B. -2.

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Is r = 6 a solution to the inequality below? 10 < r

Answers

Answer:

No

Step-by-step explanation:

10 is not less than 6, so 10 < r when r=6 is not true.

Film cameras allow a limited number of shots per role. How many images can a photographer typically shoot on a roll?
O A 30
OB. 36
OC. 25
O D. 50
OE 20

Answers

Film cameras allow a limited number of shots per role. 36 images can a photographer typically shoot on a roll. Thus, option A is the correct option.

The most cost-effective per shot is the roll, which typically yields 36 exposures. The 35mm format comes in a few different forms. On a roll of 35mm film, half-frame cameras may capture twice as many images at a smaller size.

Rolls of film typically have 24 or 36 exposures. The number of pictures you may take before loading a new roll may be limited as a result. However, some photographers view this as a benefit since it forces them to be more deliberate and exact when creating their images.

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The sum of the reciprocals of two consecutive even integers is 9/40
This can be represented by the equation shown.
1/x +1/x+2 =9/40

Use the rational equation to determine the integers. Show all work.

Answers

Answer:

Only integer solution is x=8

Step-by-step explanation:

[tex]\displaystyle \frac{1}{x}+\frac{1}{x+2}=\frac{9}{40}\\\\\frac{x+2}{x^2+2x}+\frac{x}{x^2+2x}=\frac{9}{40}\\\\\frac{2x+2}{x^2+2x}=\frac{9}{40}\\\\40(2x+2)=9(x^2+2x)\\\\80x+80=9x^2+18x\\\\0=9x^2-62x-80\\\\0=x^2-62x-720\\\\0=(x-72)(x+10)\\\\0=(x-8)(9x+10)\\\\x=8,\,x=-\frac{10}{9}[/tex]

Therefore, the only integer solution is x=8

Find the component form of AB with initial point A(8, -2) and terminal point B(-2, -2).

Answers

The component form of AB with initial point A(8, -2) and terminal point B(-2, -2) is (-10, 0).

To find the component form of vector AB with initial point A(8, -2) and terminal point B(-2, -2), we need to subtract the coordinates of point A from the coordinates of point B.

Let's calculate the components:

The x-component of AB is obtained by subtracting the x-coordinate of point A from the x-coordinate of point B:

x-component = x-coordinate of B - x-coordinate of A

= -2 - 8

= -10

The y-component of AB is obtained by subtracting the y-coordinate of point A from the y-coordinate of point B:

y-component = y-coordinate of B - y-coordinate of A

= -2 - (-2)

= -2 + 2

= 0

In vector notation, we can represent vector AB as AB = (-10, 0), where the x-component represents the horizontal displacement and the y-component represents the vertical displacement from point A to point B.

Geometrically, the vector AB can be visualized as the directed line segment from point A to point B, with a horizontal displacement of -10 units and no vertical displacement (0 units). The negative sign indicates that the direction of AB is from right to left along the x-axis.

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Question
Given the ordered pairs below, determine which are solutions to the inequality x + y > 7.
(8, 7), (-4, 8), (−1, 8), (2, 3), (3, 5)
Enter your answer as a list separated by commas.

Answers

Answer:

(8,7) and ( 3,5)

Step-by-step explanation:

(8, 7):

8 + 7 = 15, which is greater than 7. So, (8, 7) is a solution.

(-4, 8):

-4 + 8 = 4, which is not greater than 7. So, (−4, 8) is not a solution.

(−1, 8):

-1 + 8 = 7, which is not greater than 7. So, (−1, 8) is not a solution.

(2, 3):

2 + 3 = 5, which is not greater than 7. So, (2, 3) is not a solution.

(3, 5):

3 + 5 = 8, which is greater than 7. So, (3, 5) is a solution.

Based on these evaluations, the correct solutions to the inequality x + y > 7 are: (8, 7), (3, 5).

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A dresser has 5 shelves. One shelf has x shirt and four shelves have y shirts. What is the total number of shirt in the dresser?

Answers

The total number of shirts in the dresser is: x+ 4y.

The total number of shirts in the dresser can be calculated by adding the number of shirts on each shelf.

The first shelf has x shirts.

Each of the other four shelves has y shirts.

Therefore, the total number of shirts in the dresser is:

x + y + y + y + y = x + 4y

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Other Questions
A 40 N force is applied to the end of a 60-cm wrench and makes an angle of 30 with the handle of the wrench. What is the magnitude of the torque on a bolt at the other end of the wrench? Inc diagram Let Y have the density N(5,36), let X have the density N(4,25), let X and Y be independent random variables, and define W= X Y. a. Calculate Py> 10). b. Calculate P(-10 0). why is an erlenmeyer flask used for recrystallization as opposed to a beaker Sam and Teresa run a catering business in which they have two major tasks: getting new clients and preparing food for events and parties. It takes Sam 8 hours to prepare the food for an event and 4 hours of effort to get each new client. For Teresa, it takes 25 hours to prepare food for an event and 5 hours to get a new client.In this scenario, who has an absolute advantage in food preparation, and who has a comparative advantage in food preparation.Suppose that initially, Sam and Teresa are splitting both tasks for a large number of events. Then they decide to start shifting some work according to the principle of comparative advantage. In particular, the person with the comparative advantage in food preparation will take over preparing food for one more event by taking the necessary time away from getting more clients, and the other person will use the freed-up time from not preparing food for one event to get more clients. As a result, the total number of events for which food is prepared will remain unchanged, but the number of new clients will increase by___. .3. Level sets can be very strange. Let A be the circle of radius 2 centered at the origin and let B = {(x,y) ER: y = x?}. Construct a polynomial f :R R whose re-level set is AUB and prove that AUB is its level set, attenuated vaccines are generally more effective than subunit vaccines because: Identify and define the factorsassociated with front-line employee resistance and acceptance ofrobotic technologies in the workplace. Describe ONE (1) strategyyou would recommend to increase employ T/F : interestingly, in organizations we find typical stereotypes related to race and gender but not age. Find the vertical asymptotes of the rational function: g(x) x3 - x2 + 5x - 3 4x2 - 1 Arm span is sometimes used when a height measurement is needed but the individual cannot stand on a traditional stadiometer or against a wall due to abnormalities of the back or legs. A statistics student obtained a random sample of ten students and recorded each student's arm span and height. Height (inches) 59.5 69 77 59.5 74.5 63 61.5 67.5 73 69 Arm Span (inches) 62 65.5 76 63 74 66 61 69 70 71 (a) The table has bivariate data. Which variable is the explanatory variable and which is the response? (1 point) (b) Use StatCrunch to obtain a scatter diagram of the data, the correlation coefficient, and the equation of the least-square regression line only. Insert them into your lab report. (3 points) (c) Write a sentence interpreting the correlation coefficient. (2 points) (d) Write a sentence interpreting the slope of the LSR line in the context of the problem. (2 points) (e) Use the LSR line to predict the height of a student with an arm span of 67 inches. (2 points) (f) Identify and interpret the square of the correlation coefficient in the context of the problem. (2 points) Which of the following is true according to Markowitz Portfolio Optimization:I. If two investors hold different risky portfolios, they must have different risk aversions.II. Under normal market conditions, investors with greater risk tolerance hold portfolios with higher expected returns than investors with lower risk tolerance.III. The composition of the optimal risky portfolio could be the same for all investors, but investors would still differ by the compositions of their total complete portfolios.Multiple Choicea) None of (a) through (d) correctly characterizes which statements are trueb) I, II, and IIIc)II and III onlyd)I and II onlye)I and III only Question 6 We have the following student contingency table that illustrates that 200 students have Visa credit cards from BPPR and American Express (AMEX). If you know that the student already has an American Express card, what is the probability that he also has one? BPPR visa? BPPR VISA AMEX TEE NOT 60 [60] 15 65 NOT Or at 0.80 Ob. 0.50 c0 3750 od 0.30 The two main official measures of money in the United States today are ____. The two main official measures of money in the United States ___ really money. a.M1 and M2: are b.M1 and currency: are c.not M2 and M3: ared. not currency and M2: are The table shows the amounts held as the various components of M1 and M2. The value of M1 is exist billion. The value of M2 is exist billion. SUB: BUSINESS SEMINAR1.When there are 2 servers with multiple queues with arrivalrate=2, service rate=3, what is the average waiting time underassumptions of M/M/1?2.When there are 2 servers with what is the only southeast asian country never to be colonized by europe? "(Inflation and interest rates) What would you expect the nominal rate of interest to be if thereal rate is 4.3 percent and the expected inflation rate is 6.8 percent?" The federal government is planning to clean up the Great Pacific Garbage patch. It will cost $2bn in the first year and then $1bn in the following year. The benefits of the clean-up will be greater marine life, valued at $2bn for 3 years after the clean-up. If the discount rate is 40%, should the federal government do this?Yes, because $6bn is bigger than $2bnYes, because the present value of benefits exceeds the present value of costsNo, because the present value of benefits is lower than the present value of costsYes, because clean-up of marine life is always important write a system with two synchsms, each with a 1 sec period. the first synchsm filters glitches on a0, while the second synchsm carries out a light show while a0 is 1. marian received an extra principal payment on the loan her business made to another company. what activity does this exemplify?a. Operating activity b. No activity to record on the statement of cash flows c. Investing activity d. Financing activity Calculate the cash cycle (in days) based on the following information (keep two decimal places).VariableBeginning of the yearEnd of the yearInventory$2100$4000Accounts receivable$4000$3500Accounts payable$1000$1200Net sales over the year is $10000 and costs of goods sold is $7000.