Suppose that the demand function of a certain good is given as p = 150 - 0,6q, where p is the unit price and q is the number of units produced. The total fixed cost associated with producing the R600 and for each unit produced the company incurs a cost of R9. Determine the level of output g for which the p maximised and corresponding profit. Choose the correct answer: a. q = 110 and profit = R1 500 b.q = 90 and profit = R2 350 c. q = 117,5 and profit = R7 684 d.q = 110 and profit = R2 220

(a) The probability that there are less than 2 accidents occur between 3-7pm is 0.2465.

(b) The probability that the next accident occurred within 30 minutes on both days is 0.1358.

Suppose that accidents occur at a rate of 1 per hour from 3-5pm and 6-7pm, and 4 per hour from 5-6pm as Poisson process.

(a) We have to determine the probability that there are less than 2 accidents occur between 3-7pm.

We may use the Poisson distribution to determine the likelihood that there would be less than two accidents between 3 and 7 pm.

The total of the rates for each individual hour represents the rate of accidents during this time period, which is

= 1 + 1 + 4 + 1

= 7 accidents per hours

So the Poisson variable λ = 7

So the probability that there are less than 2 accidents occur between 3-7pm is:

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

P(X < 2) = \(e^{-7}\) × (7^0/0!) + \(e^{-7}\) × (7^1/1!)

After simplifying

P(X < 2) = 0.2465

(b) Suppose that on day 1, there was an accident at 3pm and on day 2, at 5pm, then we have to determine the probability that the next accident occurred within 30 minutes on both days.

Since accidents occur in a Poisson process, we may use the Poisson distribution to determine the likelihood that an accident will occur within the next 30 minutes.

Since there are 4 accidents every hour between 5 and 6 o'clock, the likelihood that one will happen in the next 30 minutes is:

P(X = 1) = \(e^{-1}\) × (1^1 / 1!)

P(X = 1) = 0.3679

The likelihood that the following event will occur within 30 minutes on both days would thus be

= 0.3679 × 0.3679

= 0.1358

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The volume of a right circular cone is given by the formula: V = (1/3)πr²h, Where, r is the radius of the base, h is the height of the cone. So the volume of the right circular cone is approximately 120.4 cubic feet (rounded to the nearest tenth).

Given: Height (h) = 2.7 ft, Diameter of base = 14.4 ft, Radius (r) of the base = (14.4/2) = 7.2 ft

Now, using the formula, we can find the volume of the right circular cone as follows:

V = (1/3)πr²h= (1/3) × π × (7.2²) × 2.7≈ 120.4 cubic feet

Therefore, the volume of the right circular cone is approximately 120.4 cubic feet (rounded to the nearest tenth).Answer: 120.4

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—The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.

The measure of an inscribed angle is half the measure of the intercepted arc. That is, m∠ABC=12m∠AOC. This leads to the corollary that in a circle any two inscribed angles with the same intercepted arcs are congruent.

Kaylee's hourly wage is $9.56 per hour.

To find Kaylee's hourly wage, we need to divide her total pay by the number of hours she worked:

hourly wage = total pay / number of hours

In this case, Kaylee made $105.16 for 11 hours of work. So her hourly wage would be:

hourly wage = $105.16 / 11 hours

hourly wage = $9.56 per hour (rounded to two decimal places)

Therefore, Kaylee's hourly wage is $9.56 per hour.

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Answer:

5

Step-by-step explanation:

10% of 80 = 8

80 - 8 = 72

if they are 10% off, the contact lenses will cost $72

Answer:

x=2.6

Step-by-step explanation:

We can use the Pythagorean theorem to find the third side

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

3^2 + x^2 = 4^2  where x is the unknown side

9 + x^2 = 16

Subtract 9 from each side

x^2 = 16-9

x^2 = 7

Take the square root of each side

sqrt(x^2) = sqrt(7)

x =2.645751311

Rounding to the nearest tenth

x = 2.6

Answer:

2.65

Step-by-step explanation:

take the length of the third side as x

so,take Pythagoras theorem

4^2=3^2+x^2

16=9+x^2

x^2=16-9

x^2=7

x=√7

x=2.645

x=2.65

Answer:

it will take 6men to work in 12days

it takes 6men to work in 13hours it will now take 7men to work 13

it will take 6 hours to travel at 80miles

it will take 6 men to complete the same work at 1 hour

it will take 9 men to mow a large piece of lawn in 8 hour

it will travel 50 miles is 7 hour

Answer:

\(\frac{7}{8}\)

Step-by-step explanation:

you first need to change the mixed number to an improper fraction

\(\frac{13}{8}-\frac{3}{4}\)

then multiply the second fraction by 2 so that the denominator is the same in both fractions

\(\frac{13}{8} -\frac{6}{8}\)

\(\frac{7}{8}\)

The implementation of the `power` method that is called in a Java code snippet depends on the object being referred to when the method is called. In the given code snippet, the implementation of the `power` method called is provided by the `NaturalNumber2Override` class.

Based on the given code snippet, the implementation of the `power` method that will be called is the one provided by the `NaturalNumber2Override` class.

This is because the `j` variable is declared as type `NaturalNumber`, but it actually refers to an instance of the `NaturalNumber2Override` class. When a method is called on an object, Java looks for the implementation of that method in the class of the object being referred to, and if it's not found, in the parent classes or interfaces. In this case, the `NaturalNumber2Override` class overrides the `power` method of its parent class `NaturalNumber2`, so its implementation of the `power` method will be called.

Therefore, the answer is (c) NaturalNumber2Override.

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The y-coordinate for the solution to the system of equations is -3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations. The intersection of two lines represents the system of equations' solution.

Given system of equations are,

6x + 11y = -3

4x + y = 17

To solve these equations, we must first remove x or y terms.

To do this we must make the removing term's coefficients the same.

In this case, let's remove y.

We are multiplying the second equation by 11. Then,

6x + 11y = -3

44x + 11y = 187

Now we will subtract the second equation from the first.

- 38x  = -190

x = 5

Now to find y, substitute x in any one of the equations.

6 * 5 + 11y = -3

11y = -33

y = -3

Hence the y-coordinate for the solution to the system of equations is -3.

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Answer:

I get 4\(\sqrt{5}\) which is not a choice.

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin36=h/75

h=75sin36

h=44.08ft

The length of DC is 210 ft. So, option C. DC = 21 ft is correct. Given, AB = 42 ft To find: DC We know that in a rectangle, opposite sides are equal and parallel.

 Hence, AB = CD in a rectangle ABCD,AB = CD = 42 ft .

We need to find DC Applying Pythagoras Theorem in right angled triangle ADC,AC² = AD² + DC² (where AC is diagonal and AD is one of the sides of rectangle ABCD).

We know that, AB = CD = 42 ft Also, ABCD is a rectangle.

Therefore, angle A = angle C = 90°So,AC = diagonal of rectangle = BD in right angled triangle

ABD,AB² + AD² = BD²(42)² + AD² = BD² ....

(1)In right angled triangle ADC,AC² = AD² + DC²

Substituting the value of AC from equation

(1) above,(42)² + AD² = BD²AD² = BD² - (42)²Also,AD = AB = 42 ft (As ABCD is a rectangle)

Hence,AD² = 42² = 1764 sq.

ft.BD² = (42)² + AD² = (42)² + (42)²= 2 (42)²= 2 × 1764= 3528 sq. ft.

Now,AC² = BD² (as AC = BD)AC = BD = √3528 = 6 × 42 = 6AB

Therefore, DC = AC - AD = 6AB - AB = 5AB = 5 × 42 = 210 ft.

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Answer:

false

Step-by-step explanation:

it's false negative

The combined velocity of the 6000 kg railroad car moving at 5 m/s and the 4000 kg stationary car immediately after the collision, found using the principle of conservation of linear momentum is 3 m/s

The principle of conservation of linear momentum states that the total momentum before and after a collision is the same in the absence of an external force acting on the objects that collide.

The mass of the railroad car, m₁ = 6,000 kg

The speed At which the railroad car is moving, v₁ = 5 m/s

Mass of the stationary car, m₂ = 4,000 kg

v₂ = 0 (the car is stationary)

The mode of motion after the collision = Couple (move) together

The combined velocity can be found using the principle of conservation of linear momentum as follows;

m₁·v₁ + m₂·v₂ = (m₁ + m₂)·v₃
6000 × 5 + 4000 × 0 = (6000 + 4000) × v₃

\(v_3 = \dfrac{6000 \times 5 }{6000 + 4000} = 3\)

The combined velocity of the cars immediately after impact, v₃ = 3 m/s

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Answer:

It's 12/5 . When u divide the BC by AB ie. tanC becomes 12/5 .......Try it hope it helps!

Answer:

see explanation

Step-by-step explanation:

tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{24}{10}\) = \(\frac{12}{5}\)

Answer:

20

Step-by-step explanation:

Triangle inequality says that the third side can only be 18-3...15, that is bigger than 15.

And 18+3... 21, that is smaller than 21.

If the third side is 21, the 18 and the 3 will just lay right on top of the 21 and not make a triangle. So it has to be 20 in order to be a whole number.

Prejudice is not directed towards things, but towards people or groups of people

In general, prejudice is an attitude or belief about a group of people, based on their perceived characteristics or traits. Therefore, strictly speaking, prejudice is not directed towards things, but towards people or groups of people.

However, people can sometimes use language that suggests they are prejudiced against things.

For example, someone might say they hate a certain type of music or cuisine, and use derogatory language to describe it. While this might not be strictly prejudice against a person or group of people, it can still reflect negative attitudes or stereotypes towards the culture or people associated with that thing.

It's important to note that prejudice, discrimination, and bias can manifest in many different forms, and it's not always directed towards people in a direct and explicit manner.

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The Coase theorem is an economic theory that states that in the absence of transaction costs, the allocation of resources and the distribution of wealth will be efficient regardless of how property rights are assigned.

In this context, the theorem reminds us that efficiency is all about maximizing total welfare, rather than focusing solely on the allocation of resources or the distribution of wealth. When transaction costs are low or non-existent, parties can negotiate with each other to reach mutually beneficial agreements that maximize their combined welfare. This means that ownership of property or resources is less important than the ability of parties to freely negotiate with one another.

For example, imagine two neighboring farms: one produces apples and the other produces honey. If the apple farmer's use of pesticides harms the bee population and reduces the honey farmer's production, the honey farmer could demand compensation from the apple farmer. If transaction costs are low, the two farmers could negotiate a solution that is mutually beneficial, such as the apple farmer paying for the honey farmer to relocate their bees to a safer area. In this scenario, the assignment of property rights is not as important as the ability of the two parties to negotiate and reach an agreement that maximizes their total welfare.

Overall, the Coase theorem highlights the importance of considering the broader impacts of economic decisions and recognizing that efficiency depends on maximizing the overall benefits to all parties involved, rather than just focusing on individual outcomes.

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It cost 2 dollers each.

Answer:

see explanation

Step-by-step explanation:

the centroid is where the medians intersect.

On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint.

(3)

GF = \(\frac{1}{2}\) CG = \(\frac{1}{2}\) × 14 = 7

CF = CG + GF = 14 + 7 = 21

(4)

GD = \(\frac{1}{3}\)  AD = \(\frac{1}{3}\) × 45 = 15

AG = 2 × GD = 2 × 15 = 30

(5)

GE = 2 × BG , that is

9x = 2(3x + 6) = 6x + 12 ( subtract 6x from both sides )

3x = 12 ( divide both sides by 3 )

x = 4

All the values that are possible here are (1, 36) (4,9) (9,4), and (36,1).

The possible values of and b are (1, 36) (4,9) (9,4), and (36,1).

Given: The LCM of a and b is 36 and HCF is 1

To find: The values of a and b?

Here is the solution:

The two numbers are a and b.

LCM of a and b is 36.

HCF of a and b is 1

We know that,

product of two numbers = LCM * HCF

                                       =       A*B=36*1

i.e                                  =        a, b=36,1

in a similar way:

The all-possible values of and b are (1, 36) (4,9) (9,4), and (36,1).

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We have to pull 9 marbles from the box to label the box correctly.

Given, three boxes with 10 marbles each can be black or white.

1 box has 10 black marbles, 1 box has 10 white marbles, and 1 box has mixed marbles, could be 1:9 or 5:5, 4:6, etc.

also all the boxes are labeled incorrectly.

we have to find the number of marbles we have to pull to correctly determine the proper labelling for the boxes.

as the box contain 10 marbles, and box contains mixed marbles

so, we have to pull 9 marbles to correctly label the box.

as, we have to check the 9 marbles.

Hence, we have to pull 9 marbles from the box to label the box correctly.

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Answer:

Step-by-step explanation:

2+4

X +4

B.

2 4

3 х

WIN WIN

C.

3.2

3x

D.

2 6

3 x

Answer:

First, I would find the unit rate for   people 240 5

people who bike 48 1 . Next, I would

find the number of people who like to bicycle in a group of 360 people and

assume that only people that like to bicycle would own a mountain bike:

5 360 = = 72

1

x

x , . Finally, I would write the ratio 7 mountain bikes = 18 bicyclists= bicyclists 72

x

and

solve for x to see that there should be 28 mountain bikes.

Step-by-step explanation:

Answer:

We get value of y: y = 2

Step-by-step explanation:

The points (3,5) and (2, y) are on a line with a slope of 3. Find y.​

We can find y using formula of finding slope of a line.

The formula is: \(Slope=\frac{y_2-y_1}{x_2-x_1}\)

We have \(x_1=3, y_1=5, x_2=2, y_2=y\) and Slope = 3

Putting values and finding y

\(Slope=\frac{y_2-y_1}{x_2-x_1}\\3=\frac{y-5}{2-3}\\3=\frac{y-5}{-1}\\-1(3)=y-5\\-3=y-5\\y=-3+5\\y=2\)

So, we get value of y: y = 2

Answer:

1) {0,1,4}

Step-by-step explanation:

(x,y)

domain is x

range is y

so in this case the domain is 0,1,4    

Giselle worked as a carpenter for 12 hours and as a blacksmith for 18 hours last week.

Giselle works as both a carpenter and a blacksmith. She earns $20 per hour as a carpenter and $25 per hour as a blacksmith.

Last week, she worked a total of 30 hours and earned $690.

To determine how long she worked as a carpenter and as a blacksmith, we can set up a system of equations.

Let C represent the hours Giselle worked as a carpenter and B represent the hours she worked as a blacksmith.

The equations can be written as:

C + B = 30 (total hours worked)

20C + 25B = 690 (total earnings)

We can solve this system of equations by first isolating C in the first equation:

C = 30 - B

Now, substitute this expression for C in the second equation:

20(30 - B) + 25B = 690

Simplify and solve for B:

600 - 20B + 25B = 690

5B = 90

B = 18

Now, substitute the value of B back into the equation for C: C = 30 - 18 C = 12

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Answer:

91

Step-by-step explanation:

Answer:

so to find the mean, add all the numbers

(ie from 45 to 122) then divide the answer by the number of number you have ( ie count from 45 to 122 which is nine numbers in total)

so your presentation will look like

819/9

which is = 91