Worldwide Oil Transport Incorporated is considering hiring a small oil spill response team to follow one of their ships from Alaska to China. The oil spill response team would cost 50 thousand dollars but would save an estimated 2500 thousand dollars in the event of an oil spill. The ship is estimated to have a 1% percent chance of generating an oil spill. Find the expected value of hiring the oil spill response team

The total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

Given:

Court lines are 50 mm wide.

Court paint covers 7 m² per litre of paint.

The centre circle is a complete circle, so the circumference is given by the formula: Circumference = 2πr

Radius of the entire circle = 9 m / 2 = 4.5 m

Radius of the centre circle = 4.5 m - 0.05 m (converted 50 mm to meters) = 4.45 m

Circumference of the centre circle = 2π(4.45 m) = 27.94 m

Next, let's calculate the circumference of the semicircles:

The semicircles are half circles, so the circumference is given by the formula: Circumference = πr

The radius (r) of the semicircles is the same as the radius of the entire circle, which is 4.5 m.

Circumference of a semicircle = π(4.5 m) = 14.14 m

Total length = Circumference of the centre circle + 2 x Circumference of a semicircle

Total length = 27.94 m + 2(14.14 m)

Total length = 56.22 m

Therefore, the total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

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Answer:

hope this help you a lot

have a great day

Answer:

402,352

Step-by-step explanation:

The mathematical representation of the phrase four hundred two thousand, three hundred fifty-two miles last year is 4.02352 × 10⁵.

The number system is a way to represent or express numbers.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

The standard form is scientific notation of any number and given as exponents of 10 and only needs to be one place before the decimal.

For example 5.6987 × 10⁵.

In the given phrase making digits as 402352

The scientific notation of this is 4.02352 × 10⁵.

Hence "The mathematical representation of the phrase four hundred two thousand, three hundred fifty-two miles last year is 4.02352 × 10⁵".

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Using the t-distribution, the 96% confidence interval is given as follows:

(18.96, 21.04).

The confidence interval is:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which:

The critical value, using a t-distribution calculator, for a two-tailed 96% confidence interval, with 100 - 1 = 99 df, is t = 2.0812.

The parameters are given as follows:

\(\overline{x} = 20, s = 5, n = 100\)

Hence the bounds of the interval are:

\(\overline{x} - t\frac{s}{\sqrt{n}} = 20 - 2.0812\frac{5}{\sqrt{100}} = 18.96\)

\(\overline{x} + t\frac{s}{\sqrt{n}} = 20 + 2.0812\frac{5}{\sqrt{100}} = 21.04\)

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Answer:

D.3/20

Step-by-step explanation:

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

Geometry encompasses various topics such as angles, lines, triangles, circles, polygons, and more.

Whether you need help with a specific theorem, a geometric proof, or solving a particular problem, feel free to describe the problem or provide any relevant information.

You can also ask general questions about geometry concepts or seek clarification on any topic you find challenging. Remember to provide all the necessary details, such as given information, diagrams, or specific requirements of the problem, to help me understand and assist you better.

Geometry often involves visual representation, so if you can provide any diagrams or illustrations related to your question, it would be helpful. However, if you can only describe the problem or concept in words, that's perfectly fine too.

Rest assured that I'll do my best to provide clear explanations, step-by-step solutions, and any additional information or insights to help you understand and solve your geometry problem.

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Answer:

See below.

Step-by-step explanation:

1) Piece lengths are:

=> 4 cm

=> 8 cm

=> 16 cm

2) Meters of curtain in bundles are :

=> 120 m

=> 300 m

=> 420 m

\(\bold{\huge{\underline{ Solution 1 }}}\)

Let the given ratios be 1x, 2x and 4x

According to the question,

\(\sf{ x + 2x + 4x = 28}\)

\(\sf{ 7x = 28}\)

\(\sf{ x = }{\sf{\dfrac{28}{7}}}\)

\(\sf{ x = }{\sf{\cancel{\dfrac{28}{7}}}}\)

\(\bold{ x = 4}\)

Thus, The value of x is 4

Length of first piece = 4 cm

Length of second piece

\(\sf{ = 2}{\sf{\times{4}}}\)

\(\bold{ = 8\: cm }\)

Length of third piece

\(\sf{ = 4}{\sf{\times{4}}}\)

\(\bold{ = 16 \:cm }\)

Hence, The length of each piece of board is 4 cm , 8cm and 16cm .

\(\bold{\huge{\underline{ Solution 2 }}}\)

Let the given ratios be 2x, 5x and 7x

According to the question,

\(\sf{ 2x + 5x + 7x = 840}\)

\(\sf{ 14x = 840}\)

\(\sf{ x = }{\sf{\dfrac{840}{14}}}\)

\(\sf{ x = }{\sf{\cancel{\dfrac{840}{14}}}}\)

\(\bold{ x = 60}\)

Thus, The value of x is 60

Length of the first bundle of curtains

\(\sf{ = 2}{\sf{\times{60}}}\)

\(\bold{ = 120\: m }\)

Length of the second bundle of curtains

\(\sf{ = 5}{\sf{\times{60}}}\)

\(\bold{ = 300\ : m }\)

Length of the third bundle of curtains

\(\sf{ = 7 }{\sf{\times{60}}}\)

\(\bold{ = 420\: m }\)

Hence, The length of each bundle of curtains is 120m, 300 m and 420 m

the two planes will be at the same altitude of approximately 5675.48 feet after 49.45 seconds.

A plane is a flat two-dimensional surface that extends infinitely in all directions. In geometry, a plane is defined as a surface that is completely flat and has no thickness. It is often represented as a coordinate system with two perpendicular axes, usually labeled as the x-axis and y-axis.

Assuming that the two planes maintain their rates of ascent, we can use the following equations to determine when the planes will be at the same altitude:

altitude of plane A = 4000 + 33.5t

altitude of plane B = 3146 + 50.75t

where t represents time in seconds.

To find the time at which the two planes will be at the same altitude, we can set the two equations equal to each other and solve for t:

4000 + 33.5t = 3146 + 50.75tSubtracting 3146 from both sides, we get:

854 + 33.5t = 50.75t

Subtracting 33.5t from both sides, we get:

854 = 17.25t

Dividing both sides by 17.25, we get:

t = 49.45 seconds

Therefore, it will take approximately 49.45 seconds for the two planes to be at the same altitude. To find the altitude at which they will meet, we can substitute this value of t into either equation. Using the equation for plane A, we get:

altitude of plane A = 4000 + 33.5(49.45) = 5645.08 feet

Using the equation for plane B, we get:

altitude of plane B = 3146 + 50.75(49.45) = 5675.48 feet

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Answer:

He should make 960. Each lawnmower is worth 80.

Answer:

(x + i) (x - i)

Step-by-step explanation:

The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.

To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.

We can rewrite x^2 + 1 as:

x^2 + 1 = x^2 - (-1)

Now, we can use the difference of squares formula to factor x^2 - (-1):

x^2 - (-1) = (x + i)(x - i)

Therefore, the factored form of x^2 + 1 is:

(x + i)(x - i)

The rules that are functions on an appropriate domain are A and D, and other solutions are shown below

Given that

g(x) = 4x² + x + 7

For g(-2), we substitute -2 for x in g(x) = 4x² + x + 7

So, we have

g(-2) = 4(-2)² + (-2) + 7

Evaluate

g(-2) = 21

Here, we have

A(t) = 3- 2t² + 4^t.

To calculate A(2) - A(1), we calculate A(2) and A(1) and then subtract the values

So, we have

A(2) = 3 - 2(2)² + 4² = 11

A(1) = 3 - 2(1)² + 4¹ = 5

So, we have

A(2) - A(1) = 11 - 5

A(2) - A(1) = 6

Here, we have

g(x) = 3(x - 6)² + 1

The vertex above is

vertex = (6, 1)

Because the leading coefficient (a) is greater than 0

i.e. a = 3, then the vertex is a minimum

So, the range is y ≥ 1

Here, we have the following definition

a ♡ b = (a + b)/2.

This means that

(5 ♡ 7) ♡ 11 = (5 + 7)/2 ♡ 11

(5 ♡ 7) ♡ 11 = 6 ♡ 11

So, we have

(5 ♡ 7) ♡ 11 = (6 + 11)/2

(5 ♡ 7) ♡ 11 = 8.5

The rules that are functions on an appropriate domain are A and D.

Rules B, C, E, and F are not functions on an appropriate domain

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Complete question

Let g(x) = 4x^2 + x + 7. Find g(-2)

Let A(t) = 3- 2t^2 + 4^t. Find A(2) - A(1).

Let g(x) = 3(x - 6)^2 + 1. Find the range of g. Write your answer in interval notation.

Define the operation ♡ so that a ♡ b = (a + b)/2.

Find the value of (5 ♡ 7) ♡ 11

Which of these rules are functions on an appropriate domain?

Select all that apply.

A inputs a real number, subtracts 100, then outputs the square root of the result if it is real.

B inputs a date, then outputs the name of a person born on that date.

C inputs a real number x, then outputs a real number y that is less than 1/1000 larger than x

D inputs a real number x, then outputs the result of the calculation (x^2-1)/(x-1)(x+1)

E inputs a real number x, then a coin is flipped. If the coin flips heads, the output is x+2. If the coin flips tails, the output is x+3.

F inputs a person, then outputs their birth date.

When viewed through the magnifying glass, the termite appears to be approximately 1.58 mm in length.

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→ r represents the original cost of the repair.

→ 0.07r represents the tax.

→ (r – 20) represents the discount

Given,

The total cost to repair the watch can be represented by 0.07r + (r – 20), where r represents the original cost of the repair.

Explain what each part of the expression represents in the context of the problem.

Now, According to the question:

Given the following algebraic expression:

0.07r + (r – 20)

In the context of fixing David’s broken watch, the variable r represents the original cost of the repair while 0.07r most likely represents the amount of money charged as tax. Lastly the expression (r – 20) represents the discount on fixing David’s broken watch.

What each part of the expression represents in the context of the problem include the following:

→ r represents the original cost of the repair.

→ 0.07r represents the tax.

→ (r – 20) represents the discount

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Answer:

-1

Step-by-step explanation:

We need to find the value of tan² 70° -sec² 70°​.

We know that,

\(\sec^2\theta-\tan^2\theta=1\) ...(1)

We can write the given expression as :

tan² 70° -sec² 70° = -(-tan² 70° +sec² 70°)

=-(sec² 70°-tan² 70°)

Using identity (1)

=-(1)

= -1

Hence, the value of the given expression is -1.

Answer:

All conjecture postulates and theorems prove a logical argument.

This is my opinion

Step-by-step explanation:

Theorems are the basics of mathematics.

They are verified multiple times in past.

They are certified by all famous mathematicians of world.

Some famous theorems are

Answer:

1.242

Please let me know if I'm wrong!

Answer:

1.242

Step-by-step explanation:

You just multiply them together

Answer:

60

Step-by-step explanation:

So you would have to add the solutions together, 15+10=25. divide by 15.. 15/25 = 0.6. But in order to get a percent, you must multiply by base tens. 0.6x100 = 60%

Answer:

60%

Step-by-step explanation:

To find the percent sugar, take the amount sugar over the total.

15

----------

15+10

15/25 =.6

Change the decimal to percent form.

.6 * 100% = 60%

14.05 at most

If it is saying at least, than it would be in the cooler for longer than it should be and drop below 60.5

If saying more than 14.05, it is basically the same thing where it is inside the cooler for longer than it should be

If saying at most, that means that 14.05 is the max it would be in the cooler and keeps the liquid above 60.5

Answer: im late but here you go

12/2/22

Step-by-step explanation:

In linear equation, The number of customers who will pay by debit card will be 44.

Which equation is linear?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                     Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

16 + 33 + 6 = 55 customers.

That means that the fraction of the customers, who paid by debit card, was

6/55  

In situations like that, when we use historical data and try to predict future behaviour, we use that past experience and extrapolate to a predicted result.

we simply say that we expect the same fraction, 1/30 if customers use credit cards.

for the absolute number of predicted debit  card customers we multiply the predicted number of customers by the expected fraction

400  × 6/55 = 2400  /55  = 43.63 ≈ 44

Therefore the number of customers who will pay by debit card will be 44.

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Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.

When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.

Increased employment opportunities result in more individuals having access to income and improved standards of living.

Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.

Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.

Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.

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The equation that could be used to determine x, the number of purses Paula must sell to pay for the new equipment is;

A. 5.00x - 2.25x = 5000

We are told the materials costs $2.25 per purse.

She sells the materials for $5 each.

If the number of materials she purchased was x, it means that;

Selling price - Cost price = 5.00x - 2.25x

Now, we are told that she wants to invest $5000 for some new equipment. This means that she must realize at least $5000 in profit from the sales she is making of the materials.

Since the formula for profit is;

Profit = Selling Price - Cost Price

Then, we will have;

5.00x - 2.25x = 5000

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Answer:  5.00x - 2.25x = 5000

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

7/8x9/10=63/80

So to compare they need to have the same demoninators

9/10x8/8=72/80

Given: A set of data showing the diameters of gold balls

To Determine: The diameter that is 24th percentile

Solution

Let us determine the position of the 24th percentile

From the given data

Let us arrange the data in ascending order as shown below

Let us arrange according to percentile as shown below

The 24th percentile is between the 20th and 25th percentile shown above

That is

Hence, the 24th percentile is 1.43

a) The account with the largest balance is D. Rent A Truck which is $165.

b) The open account is D. Rent A Truck.

c) Since it takes seven years for negative credit history to be removed from a person's credit report, the year that the late payment at Rent A Truck will be removed is 2016, specifically by the end of February 2016.

A credit report records the borrower's credit history from various sources, including banks, credit card companies, collection agencies, and governments prepared by the following credit reporting bureaus: Equifax, Experian, and TransUnion.

An open account refers to a credit that has not been fully discharged.

Unlike a closed account, the open account remains operational, with debit and credit transactions recorded, including finance charges and credit reports issued from it.

Thus, based on the facts supplied, Rent A Truck is the only open account because the other three have been closed.

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Answer:

16 pages per hour

Step-by-step explanation:

48 ÷ 2 = 16 pages per hour

Answer:

1/36

Step-by-step explanation:

above is the answer