Show that if there are 30 students in a class, then at least two have last names that begin with the same letter.

Answers

Answer 1
using Pigeonhole Principle we have ceiling (30/26) = 2.

Related Questions

Which is a factor that could interrupt the progress of succession?

Answers

Answer:

Natural disturbances such as wind, fire, and disease interrupt succession. Human disturbances such as harvest also interrupt succession.)

Setting the temperature of a home from a smartphone app is an example of what new technology?

Question 2 options:

Machine learning


Autonomous devices


The Internet of Things


Cloud computing

Answers

Setting the temperature of a home from a smartphone app is an example of the Internet of Things.

What does the 'Internet of Things' mean?

The Internet of things is a term used to describe how software, sensors, etc, can be connected by means of the internet to exchange information.

In this case, the thermostat can be connected to the cell phone to change information and set a predetermined configuration.

Wi-Fi-based thermostats can be used to set a temperature even if a person is away from his/her home.

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A person buying a personal computer system is offered a choice of three models of the basic unit, two models of keyboard, and two models of printer. how many distinct systems can be purchased?

Answers

The number of distinct computer systems that this person can purchase is equal to twelve (12).

Given the following data:

Number of basic units = 3 models.Number of keyboard = 2 models.Number of printers = 2 models.

How to calculate the number of distinct systems.

In order to determine the number of distinct computer systems that this person can purchase, we would use a mathematical model referred to as combination.

Mathematically, combination is given by this mathematical equation:

[tex]_nC_r = \frac{n!}{r!(n-r)!}[/tex]

Where:

n is the number of items.r is the number of times of choosing items.

Substituting the given parameters into the formula, we have;

³C₁ × ²C₁ × ²C₁ = 3 × 2 × 2

Distinct systems = 12.

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1. click here to access an interactive simulation where you will explore the transfer and transformations of different types of energy that you have learned about in this lesson. 2. click the systems box, and then select the energy symbols box. this will allow you to see the movement of energy and its type in the system. 3. under the bike the person is riding, drag the blue rectangle to the right to start the system. 4. the chemical energy in the person's body is transformed into when they peddle the bike, causing the generator to rotate. some energy in the bike wheel is lost to . the generator produces electricity, which heats the water, causing it to produce thermal energy in the form of steam. when the person's chemical energy runs out, how do you replenish it? 5. change the initial energy source to sun, the intermediate energy source to the solar panel, and the final energy source to the windmill. in this system, is produced from the sun and transformed into electricity in the solar panel. both of these types of energy are considered forms of . the result of this system is that the windmill produces mechanical energy. 6. try a few more scenarios, choosing different initial, intermediate, and final energy sources. observe places where energy is transformed and lost. creating systems with the least amount of energy is important in engineering design.

Answers

In question four (4), The chemical energy in the person's body is transformed into   mechanical energy

What is Transformation of Energy?

Energy transformation, is known to be the process whereby energy is to another type.

Note that energy is regarded as the amount of power that is needed to carry out any kind of work (such as Lifting a book), etc.

Other answers are:

When they peddle the bike, causing the generator to rotate. Some energy in the bike wheel is lost to  thermal energy.

When the person's chemical energy runs out, you can replenish it by feeding the person food.

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Answer:

4. Mechanical Energy,

Thermal Energy,

By Feeding Them Food

5. Light Energy, Electromagnetic Energy

Explanation:

The shape of mercury can be approximated by a sphere with a diameter of 4880 kilometers. find the surface area and the volume of mercury. for surface area, round your answer to the nearest tenth of a million. for volume, round your answer to the nearest tenth of a billion.

Answers

The surface area and the volume of mercury whose shape can be approximated by a sphere is 7.5ˣ10⁷ squared km and 6.1ˣ10¹⁰ cubed km respectively.

What is of volume of sphere?

Volume of sphere is the amount of quantity, which is obtained by the it in the 3 dimensional space.

The volume of the sphere can be given as,

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

The surface area of a sphere  can be calculated with the following formula,

[tex]A_s=4\pi r^2[/tex]

Here, (r) is the radius of the sphere.

The shape of mercury can be approximated by a sphere with a diameter of 4880 kilometers. The radius of it is the half of the diameter. Thus,

[tex]r=\dfrac{4880}{2}\\r=2440[/tex]

Thus, the surface area of it is,

[tex]A_s=4\pi (2440)^2\\A_s\approx7.5\times10^7\rm \; km^2[/tex]

The volume of the mercury is,

[tex]V=\dfrac{4}{3}\pi r^3\\V=\dfrac{4}{3}\pi (2440)^3\\V\approx6.1\times10^{10}\rm\; km^3[/tex]

Thus, the surface area and the volume of mercury whose shape can be approximated by a sphere is 7.5ˣ10⁷ squared km and 6.1ˣ10¹⁰ cubed km respectively.

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You _______ see stop signs on limited access highways.

Answers

Answer: You can expect to see no stop signs or traffic lights on limited access high way.

Explanation: Limited access roads have various name such as expressway, access highway. In case of limited access highway there is no stop signs or traffic lights.

Is the chemical process plants go through in order to make their own food.

Answers

Photosynthesis because it allows the plant to produce sugars from sunlight.

Answer:

Your answer is photosynthesis.

Explanation:

Photosynthesis is the process when plants use the sun's sunlight to convert it to chemical energy. They store the chemical energy somewhere and use it later. Then, plants use that same chemical energy to make their food in order to grow.

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Sketch the solid whose volume is given by the iterated integral.

Answers

A sketch of the solid whose volume is given by the iterated integral is shown in the image attached below.

How to calculate an integral?

In this exercise, you're required to sketch the solid whose volume is given by the iterated integral below. Thus, we would first of all evaluate the integral so as to get a unit value.

Given the following integral:

∫¹₀∫₀¹(4 - x - 2y)dxdy

Integrating x with respect to y, we have:

∫¹₀∫₀¹(4 - x - 2y)dxdy = ∫¹₀[(4 - (1/2)- 2y)]dy

∫¹₀∫₀¹(4 - x - 2y)dxdy = 4y - (y/2) - (2y²/2)|¹₀

Evaluating the integral, we have:

∫¹₀∫₀¹(4 - x - 2y)dxdy = 4(1) - (1/2) - (2(1)²/2)

∫¹₀∫₀¹(4 - x - 2y)dxdy = 4 - 1/2 - 1

∫¹₀∫₀¹(4 - x - 2y)dxdy = 5/2

In conclusion, a sketch of the solid whose volume is given by the iterated integral is shown in the image attached below.

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A media organization is interested in reporting election results in a congressional election prior to the final tally of votes which will not occur until later in the evening. the organization randomly selects several polling places across the district asking voters whom they voted for. the type of poll being used in this scenario is known as

Answers

The name which is given to this type of poll which is being described in this scenario is  an exit poll

How does the vote organization work?

In this scenario where a media organization asks people who they voted for, as a result of this, we can see that the type of poll which was used in this described scenario above is known as an exit poll because it is used to get the poll of the voters just after they have left the polling stations.

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What is the measure of ∠x? round your final answer to the nearest tenth, if necessary. 12.6º 21.8º 62.8º 82.2°

Answers

Using sine law, the measure of angle x in the triangle XYZ to the nearest tenth of degree is 82.2 degrees.

How to use sine law?

Sine law formula for triangle can be represented as follows:

ZY / sin X  = XY / sin Z

Therefore,

ZY = 38 cm

∠X  = ?

XY = 22 cm

∠Z = 35 degrees.

Hence,

38 / sin X = 22 / sin 35°

cross multiply

38 sin 35° = 22 sin X

38 × 0.57357643635 = 22 sin X

21.7959045813 = 22 sin X

divide both sides by 22

sin X = 21.7959045813 / 22

sin X = 0.99072293551

X = sin⁻¹ 0.99072293551

X = 82.1894927728

X = 82.2°

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Answer:

The answer is 82.2°.

Explanation:

Verified by correct test results.

Causes of environmental changes in the period 1900 to present

Answers

Answer:

deforestation, desertification, a decline in air quality, and increased consumption of the world’s supply of fresh water

Explanation:

You have planned purchases of $4,000. You have received orders that total $2,300, and you have ordered merchandise that totals $700. Calculate the open-to-buy amount

Answers

The open-to-buy amount given the total planned purchases, received orders and ordered merchandise is $1,000

How to calculate the open to buy amount?

Total planned purchase = $4,000Received orders = $2,300Ordered merchandise= $700

open-to-buy amount = Total planned purchase - (Received orders + Ordered merchandise)

= 4000 - (2,300 + 700)

= 4000 - 3,000

= 1,000

Therefore,

open-to-buy amount = $1,000

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Every since i read that book on manners, i can't help but notice peoples' awful behavior at the dinner table.

Answers

Answer:

Ever since i read that book on manners, i can't help but notice peoples awful behavior at the dinner table.

Explanation:

change the "every" into ever and "peoples' "  into peoples

A letter is selected at random from the english alphabet

Answers

Answer:

Given that a letters is choosen at random from the english alphabetTotal letters = 26 The probability that choosen a vowel = A, E, I, O, U 

An airplane flies at an altitude of 5 miles toward a point directly over an observer consider and x

Answers

Ava ran at an average speed of 6 miles per hour while Kelly ran at an average speed of 8 miles per hour, both would be 3/4 mile apart after 45/14 minutes

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

From the diagram:

tan(θ) = 5/x

The relationship between the angle θ and the horizontal distance (x) is tan(θ) = 5/x

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Armando is a trained healthcare professional who analyzes oxygen levels of the blood. he performs tests that can show the severity of a patient’s respiratory condition and helps formulate a treatment plan. what kind of respiratory professional is armando?

Answers

Answer:

blood

Explanation:

Geometry worksheet 11.1-11.2 angles and arcs in a circle answer key

Answers

An example of Geometry worksheet  question is "What is the difference between a minor arc and a major arc".

What is an arc?

In Mathematics, the term “arc”  connote a type of circular shape or a curve that merges two endpoints.

The difference between a minor arc and a major arc" is that:

The measure of a minor arc is known to be less than 180°The measure of a major arc is known to be greater than 180°

Conclusively,  through the measurement of the arc, one can know if it is a major or a minor arc.

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Nacl has a delta.hfus = 30.2 kj/mol and a delta.hvap = 171 kj/mol. what mass of nacl releases 452 kj of heat as it changes into a liquid?

Answers

Answer:

D. 155g

Explanation:

Edge?

Which is one advantage of using a reflecting telescope instead of a refracting telescope?

Answers

Answer:

I think that Reflecting telescopes have many advantages over refracting telescopes. Mirrors don't cause chromatic aberration and they are easier and cheaper to build large. The are also easier to mount because the back of the mirror can be used to attach to the mount.

Explanation:

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Which revision exhibits the best word choice for the underlined portion of the sentence? chaos with people losing their jobs lots of people to get fired a drastic increase in unemployment a change in the number of people employed

Answers

The best word choice for the unstable economy is; C. a drastic increase in unemployment.

What is the effect of unstable economy?

The unstable economy was one that resulted in a drastic increase in unemployment which is the underlined portion of the original sentence.

The use of the word "unemployment" rather than the phrase "people to lose their jobs" gives the sentence a more formal tone. That is why the correct answer is a drastic increase in unemployment.

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Answer:

c

Explanation:

Edge 22

Use the sentence to complete the activity. talk to them, and you should tell them the truth. in 1–2 sentences, identify the shift in mood and rewrite the sentence correctly.

Answers

The rewritten form of the sentence is "Tell them the truth when you talk to them".

What is a shift in mood?

A shift in mood is known to be found  a sentence that uses a two or more mood.

An example: Wash your teeth if you want to eat dinner. Note that this sentence began an imperative phrase and then later by a conditional mood as in the case above.

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Each of the following is a condition necessary for natural selection to occur except

Answers

Answer:

population size is very large population size is very large population size is very large

Explanation:

Population size is very large population size is very large population size is very large.

What is genetic drift?

Genetic drift is a mechanism of evolution in which allele frequencies of population change with generations due to chance (sampling error). Genetic drift occurs in all the populations of non-infinite size, but its effects are the strongest in small populations.

Genetic drift occurs in small populations, where infrequently-occurring alleles faces greater chance of being lost. Once it begins, genetic drift continues until the involved allele is either lost by population or is the only allele present at particular gene locus within the population.

Genetic drift is primarily associated with small breeding populations and mutations are regarded as strong evolutionary mechanism for changing allelic frequencies.

Therefore, Population size is very large population size is very large population size is very large.

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A window is shaped like a parallelogram. The base is 16 inches long. The area is 608 square inches. What is the height of the window? justify your answer by explaining your solution in the space provided

Answers

Area of any parallelogram can be found by the formula Area = base x height. The base and area of the parallelogram is given as 16 inches and 608 square inches. Base and area known we can find the height of the parallelogram

Area = base x height

Or 608=16 x Height

Dividing both sides by 16

Height =38inches

Height of parallelogram is 38 inches.

Based on the sign of the standard cell potential, ????∘cell, classify these reactions as spontaneous or nonspontaneous as written. assume standard conditions. refer to the list of standard reduction potentials.

Answers

For a cell reaction to be sponteanous, the  standard cell potential must be positive.

What is a sponteanous cell reaction?

We define a cell reaction as sponteanous when the value of the standard cell potential is positive. If the standard cell potential is negative then the reaction is not sponteanous.

The question here is incompete but we know that the reactions that are sponteanous will all have a positive  standard cell potential.

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The main subject of this excerpt is about how mad cow disease starts in the brain and can affect humans. how scientists study the brain and detect anger and madness. how prions can cause a barn to become unstable and dangerous. how farmers should protect barns and houses from cows and other livestock.

Answers

The main subject of this excerpt is about how mad cow disease starts in the brain and can affect humans.

What caused the mad cow disease?

The disease was caused by contaminated cattle feed that contains the prion agent that affected the cows and were transferred to the cattle rearers and farmers.

The mad cow disease manifest in human as depression, loss of coordination, dementia etc.

Hence, the main subject of this excerpt is about how mad cow disease starts in the brain and can affect humans.

Therefore, the Option A is correct.

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Which three statements accurately describe the populist party?

Answers

✏Answer ✏

Many farm protest organizations joined the Populist Party in 1892.The Populist Party supported a Free Silver currency policy.Republican voters were drawn to the Populist Party’s platform.The Populist Party wanted more government regulation.

Explanation:

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Which set of conditions best describes the weather at the area of lowest air pressure?

Answers

It overcast skies with strong winds PLATO!!

Which system of equations can be used to find the roots of the equation ?

Answers

Answer:

the root of quadratic equation

Earl's savings account has an apr of 7.3%, calculates interest daily, and pays interest at the end of the month. if during the month of june, his balance was $400 for the first 10 days of the month, $1500 for the next 10 days of the month, and $600 for the last 10 days of the month, how much total interest did earl earn in june?

Answers

Answer:

it’s D. $5.00

Explanation:

Answer:

$5.00

Explanation:

Got it right on the quiz.

If c=3,6 and d=4,8. the coordinate of the point of cd is

Answers

The coordinate of CD is the position of CD

The coordinate of the midpoint of CD is (3.5, 7)

How to determine the coordinate of CD?

The coordinates are given as:

C = (3,6)

D = (4,8)

Next, we calculate the midpoint of CD using the following midpoint formula

CD = 0.5 * (x₁ + x₂, y₁ + y₂)

So, we have:

CD = 0.5 * (3 + 4, 6 + 8)

Evaluate the sum

CD = 0.5 * (7, 14)

Evaluate the product

CD = (3.5, 7)

Hence, the coordinate of the midpoint of CD is (3.5, 7)

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