VWhat is the surface area of this cylinder?

Use ​ ≈ 3. 14 and round your answer to the nearest hundredth. 8 cm
8 cm

square centimeters

The arrival rate is found to be 30 emails per hour and the service rate is calculated to be 45 emails per hour.

It has been mentioned in the question that in every 2 minutes, customers send emails to a help desk of an online retailer, on an average, and the standard deviation of the inter-arrival time is also given to be 2 minutes. The online retailer has three employees for answering those emails.

It takes almost 4 minutes to write a response email to the customer, on average. The standard deviation (SD) of the service times is 2 minutes. This is a g/g/k type queue.

Therefore the arrival rate per hour is given by the following relation:

Arrival rate in 1 hr = No. of minutes in an hr / inter arrival time of email taken in minutes

Given here,

No. of minutes in an hour = 60 minutes

Inter arrival time of the email taken in minutes = 2 minutes

∴ Arrival rate in 1 hr = 60 / 2

                                = 30 emails / hr

Hence the arrival rate is 30 emails per hour.

Now for finding out the service rate we have the following formula:

Service rate = No. of minutes in an hr x No. of employes answering/ average time that is required to write response email

Given here,

No. of minutes in an hr = 60 minutes

No. of employes answering = 3

Average time that for writing response email = 2 minutes

∴ Service rate = 60 * 3 / 4

                       = 45 emails / hr

Hence the service rate is 45 emails per hour.

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Answer:

Step-by-step explanation:

In this scenario, the probability of success, p is 28% = 28/100 = 0.28

Number of samples, n = 160

Probability of failure, q = 1 - p = 1 - 0.28 = 0.72

Mean,µ = np = 0.28 × 160 = 44.8

Standard deviation, σ = √npq = √160 × 0.28 × 0.72 = 5.68

Let x be the random variable representing the number of wood samples from long-leaf pine trees with a fungal disease. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

the probability that you’ll have at least 50 diseased samples to return to your boss is expressed as

P(x ≥ 50) = 1 - P(x < 50)

For P(x < 50)

z = (50 - 44.8)/5.68 = 0.91

Looking at the normal distribution table, the probability corresponding to the z score is 0.819

Therefore,

P(x ≥ 50) = 1 - 0.819 = 0.181

The total length of the reel of thread is 5 meters, which is equal to 500 centimeters. Since Lahon used 300 centimeters of thread, he has 200 centimeters of thread left.

Lahon recently purchased a reel of thread that was 5 meters long. This is equivalent to 500 centimeters. He then used 300 centimeters of the thread for sewing. This leaves him with 200 centimeters of thread remaining. This can be expressed as 2 meters. Thus, Lahon has 2 meters of thread left from the reel of thread that he originally bought. This leftover thread can be used for other sewing projects or kept for future use. It is important to keep track of how much thread has been used and how much is left to ensure that an adequate amount of thread is available for future projects. The total length of the reel of thread is 5 meters, which is equal to 500 centimeters. Since Lahon used 300 centimeters of thread, he has 200 centimeters of thread left.

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The approximate land area of the state of New Jersey is 7,354 to the nearest square mile.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that the most densely populated state in the US was New Jersey. The 2015 population of New Jersey was 8,957,907 people with 1219.1 people per square mile.

Population = 1219.1 people per square mile

The land area of New Jersey is x square miles

Total population = people living in per square mile × total land area

8,957,907  / 1219.1 = x

x = 7,354

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Answer: One newton-meter is equal to 8.8507457676 inch pounds.

Step-by-step explanation:

As a simple example, if you wish to convert 5 newton-meters into inch pounds, you should multiply 5 by 8.8507457676 to give you a total of 44.253728838 inch pounds (or 44.254 rounded to 3 decimal places).

One newton-meter is equal to 8.8507457676 inch pounds.

What is nanometer ?

A nanometer (NM) is a unit of size this is equal to at least one billionth of a meter. it's miles extensively used as a scale for building tiny, complex, and atomic scale computing and digital additives - mainly in nanotechnology

As a simple example, if you wish to convert 5 newton-meters into inch pounds,

you should multiply 5 by 8.8507457676 to give you a total of 44.253728838 inch pounds (or 44.254 rounded to 3 decimal places).

Therefore, One newton-meter is equal to 8.8507457676 inch pounds.

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Answer:

383.54 m

Step-by-step explanation:

The length of the training track running around the field = circumference of the circle formed by the two semicircles + 2(length of the rectangle)

The two semicircles forms a fill circle with diameter (d) = width of rectangle = 61 m

Length of rectangle (L) = 96 m

π = 3.14

The length of the training track running around the field = πd + 2(L)

Substitute the values

The length of the training track running around the field = 3.14*61 + 2(96)

= 191.54 + 192

= 383.54 m

The decimal number 11.6 is to one decimal place, and the closest integers to 11.6 are 11 and 12

The decimal number is given as:

11.6

The above decimal number is between the digits 11 and 12

This means that the closest integers to 11.6 are 11 and 12

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Answer:

34.8 miles

Step-by-step explanation:

First, we know that Area = Length * Width. Let's plug in those values.

1,280.64 = x * 36.8 (I put the variable "x" there since we don't know what it is)

Now, solve for x (we want to have x by itself, so divide both sides by 36.8)

34.8 = x

Now that we know that the width of it is 34.8 miles, let's check our work.

34.8 * 36.8 = 1,260.64

This equation IS true, so:

The width of the rectangle is 34.8 miles. Hope this helps!

y=2x-3

y=2x+3

Since the both expressions 2x-3 and 2x+3 are equal to y, set them equal to each other forming an equation in x.

2x-3=2x+3

Cancel equal terms on both sides of the equation

-3=3

The statement is false for any value of x and y , so there is no solution

Answer:

The value of x would be 3.

Step-by-step explanation:

3³ = 27.

Answer:

3³

Step-by-step explanation:

3 × 3 = 9

9 × 3 = 27

good luck, i hope this helps :)

Answer:  \(\frac{28}{27}\) or \(1\frac{1}{27}\)

Step-by-step explanation:

\(\frac{7}{9} /\frac{6}{8} = \frac{7}{9}(\frac{8}{6})\)

\(\frac{7}{9} (\frac{8}{6} ) = \frac{28}{27}\)

\(\frac{28}{27} = 1 \frac{1}{27}\)

Answer: The cost equation is:

C(x) = $25 + $55*x

Step-by-step explanation:

I suppose that you want to find the equation for this situation.

We know that the price is $60 per hour, plus a single deposit of $25.

Then if Alicia rents the ski for x hours, the cost will be:

C(x) = $25 + $60*x

But she also has a discount of $5 per hour, then if she uses the coupon the total cost for x hours will be:

C(x) = $25 +  $60*x - $5*x

C(x) = $25 + $55*x

Answer:

B and D

Step-by-step explanation:

3/4 = a/36

4a = 36*3 = 108

a = 108/4 (which is answer choice D) = 27 (which is answer choice B)

The point C shows the 13 miles in the given graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given that On Friday, Leo walked 13 miles.

We have to find the points from A-E which shows this to complete the line graph.

According to the given graph, the point C shows the distance which is 13 miles of friday.

Hence, the point C shows the 13 miles in the given graph.

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The potato is in the air for approx. 1.0625 seconds.

The actual cost of manufacturing 24 coffee makers is $1,755.67.

a. To find the time that a potato is in the air, use the quadratic equation formula where a=-16,

b=34, and

c=42. `

t = (-b ± sqrt(b²-4ac))/2a`.

Let's start by finding the discriminant first. `b²-4ac = (34)²-4(-16)(42)

= 1156`.

Substitute the values of a, b, and c into the quadratic formula.

t = (-34 ± sqrt(1156))/-32

= (-34 ± 34)/-32`.

There are two solutions to the quadratic equation. Thus, we need to check if there are any negative values for time.

t = (-34 + 34)/-32

= 0.

t = (-34 - 34)/-32

= 1.0625`.

Therefore, the potato is in the air for 1.0625 seconds.

b. To find the actual cost of manufacturing 24 coffee makers, substitute x=24 into the cost function

C(x) = 155 + 66x + x²/36`.

C(24) = 155 + 66(24) + 24²/36

= 155 + 1584 + 16.67`. `

C(24) = 1755.67`.

Therefore, the actual cost of manufacturing 24 coffee makers is $1,755.67.

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To estimate whether Latisha buys more or less than 4 ounces of spices, we can round the given amounts to the nearest whole number.

Two-fifths ounce is about 0.4 ounce.

One and one-fifth ounces is about 1.2 ounces.

One and one-tenth ounces is about 1.1 ounces.

Adding these rounded amounts gives:

0.4 + 1.2 + 1.1 = 2.7 ounces

Since 2.7 ounces is less than 4 ounces, we can conclude that Latisha buys less than 4 ounces of spices to make one batch of Spice Parisienne.

Answer:

141.2° , supplementary angles always equal to sum of 180, therefore subtract 38.8 frkm 180 and you will have other angles measure.

Main Answer: A normalized binary number typically consists of three parts:

Supporting Question and Answer:

What is a sign bit in a normalized binary number?

The sign bit is the leftmost bit of a normalized binary number and indicates whether the number is positive or negative .A value of 0 indicates a positive number, while a value of 1 indicates a negative number.

Body of the Solution: A normalized binary number typically consists of  the following three parts:

Final Answer: A normalized binary number typically consists of three parts:

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The Fourier transform of the periodic signal is (1/2j) * [(1/(j(2π - ω))) * \(e^{j(2\pi -w)t+j\pi /4}\) - (1/(j(2π + ω))) * \(e^{j(2\pi+w)t-j\pi /4}\)] + C.

To determine the Fourier transform of the periodic signal sin(2πt - π/4), we can use the properties and formulas of Fourier transforms.

The Fourier transform of a periodic signal is represented by a series of discrete frequency components. In this case, the signal is periodic with a fundamental period of T = 1/f, where f is the frequency. Since the signal is in the form of sin(2πt - π/4), the frequency can be identified as f = 1/2π.

The Fourier transform of sin(2πt - π/4) can be calculated using the formula:

F(ω) = ∫[f(t) * \(e^{-jwt}\)] dt,

where F(ω) is the Fourier transform of the signal, ω is the angular frequency, f(t) is the periodic signal, and j is the imaginary unit.

Substituting the given signal sin(2πt - π/4) into the formula, we have:

F(ω) = ∫[sin(2πt - π/4) * \(e^{-jwt}\)] dt.

To solve this integral, we can apply Euler's formula to rewrite the sine function in terms of complex exponentials:

sin(2πt - π/4) = (1/2j) * [\(e^{j(2\pi t-\pi /4)}\) - \(e^{-j(2\pi t-\pi /4)}\)].

Now, we can substitute this expression into the integral:

F(ω) = ∫[(1/2j) * [\(e^{j(2\pi t-\pi /4)}\) - \(e^{-j(2\pi t-\pi /4)}\)] * \(e^{-jwt}\)] dt.

Simplifying the expression inside the integral, we have:

F(ω) = (1/2j) * ∫[\(e^{j(2\pi t-\pi /4)-jwt}\) - \(e^{-j(2\pi t-\pi /4)+jwt}\)] dt.

Expanding the exponentials and combining terms, we get:

F(ω) = (1/2j) * ∫[\(e^{j(2\pi-w)t+j\pi /4}\) - \(e^{j(2\pi+w)t-j\pi /4}\)] dt.

Now, we can integrate each term separately:

F(ω) = (1/2j) * [(1/(j(2π - ω))) * \(e^{j(2\pi -w)t+j\pi /4}\) - (1/(j(2π + ω))) * \(e^{j(2\pi+w)t-j\pi /4}\)] + C,

where C is the constant of integration.

This expression represents the Fourier transform of the periodic signal sin(2πt - π/4).

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Step-by-step explanation:

I will help you 180 g flour

Answer:

8664

Step-by-step explanation:

8664-87=8664 this is the answer

The fixed pay of Henry for each week is 20 and The commission for each sale of the cycle is 8.5. If Henry's made 12 sales in one week and earned 122, In another week he made 8 sales and made 88.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given:

Henry's made 12 sales in one week and earned 122,

In another week he made 8 sales and made 88,

Write the equation of the above statement as shown below,

12p + x = 122

8p + x = 88

Here, x is the fixed price Henry get and the p is the commission price on each cycle,

Solve the above equations by elimination method,

p = 8.5,

x = 88 - 8 × 8.5,

x = 88 - 68 = 20

Thus, commission price = 8.5 per cycle and x = 20 fixed salary each week.

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The complete question is: Henry's part-time job at a bicycle store pays him a fixed each week, plus the commission on each bicycle he sells. He made 12 sales in one week and earned 122, and in another week he made 8 sales and made 88. Calculate the fixed salary for each week and the commission on each cycle.

Answer:

Step-by-step explanation:

i don't see a statement but use 7 i guess

Therefore , the solution of the given problem of trigonometry comes out to be we can find the sides of triangle by trigonometry ratios.

The area of mathematics known as trigonometry explores the correlation between square side length and As a result of the combination of astronomy and geometry studies, the field initially emerged inside the Nineteenth century, most likely there in third century BC. Precise methods of mathematics cover a number of geometric equations and possible applications to calculations.

Here,

To find the all sides of a triangle

By using trigonometry ,

We can:

Apply the law of sines or trigonometry to find the right triangle side lengths: a = c × sin(α) or

a = c × cos(β)

b = c × sin(β) or

b = c × cos(α)

Therefore , the solution of the given problem of trigonometry comes out to be we can find the sides of triangle by trigonometry ratios.

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Answer:

2

Step-by-step explanation:

You would use PEMDAS( parentheses exponents multiply adding subtracting) (1/2)4.

^

o.5×4

^

2

The item which is closest in size to one mole of gas at STP is C) A microwave

A mole is the quantity of matter contained in a body.

We know that at STP the volume of gas occupied by one mole of a gas at STP is 22.4 dm³.

Now, we have 4 items.

Let us assume that each item is a cube. Also, since 22.4 dm³ is the volume of the cube, its length is

L = ∛22.4 dm³

=  ∛(22.4 × 10³) cm³

= 28.2 cm

So, ithe item that is comparable to this length is the microwave.

So, the item is C. A microwave

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Answer:

200 minutes / 3 hours & 20 minutes.

Step-by-step explanation:

This is quite simple.

First, since we know that Lola takes two 20 minute breaks at work each day, let's multiply 20 and 2.

20 × 2 = 40

This means she is on break for a total of 40 minutes each day.

Finally, let's take that 40 and multiply it by 5.

40 × 5 = 200

This means she spend 200 minutes (3 hours & 20 mins) on break each week.

Answer:

A = ± \(\sqrt{\frac{q+3g}{b^2} }\)

Step-by-step explanation:

Given

b²A² - 3g = q ( add 3g to both sides )

b²A² = q + 3g ( divide both sides by b² )

A² = \(\frac{q+3g}{b^2}\) ( take the square root of both sides )

A = ± \(\sqrt{\frac{q+3g}{b^2} }\)