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MissTica
3 years ago
12

There are 30 students in a class. Choose the statement that best explains why at least two students have last names that begin w

ith the same letter. Multiple Choice
Using the pigeonhole principle, in any class of 30 students there must be at least two students who have last names that begin with the same letter since there are more than 2 students in the class.
Using the pigeonhole principle, in any class of 30 students there must be exactly two students who have last names that begin with the same letter since there are only 26 letters in the alphabet.
Using the pigeonhole principle, in any class of 30 students there must be at least two students who have last names that begin with the same letter since there are only 26 letters in the alphabet.
Using the pigeonhole principle, in any class of 30 students there must be at least two students who have last names that begin with the same letter since there are more than 2 letters in the alphabet.
Engineering
1 answer:
galben [10]3 years ago
4 0

Answer:

Using the pigeonhole principle, in any class of 30 students there must be at least two students who have last names that begin with the same letter since there are only 26 letters in the alphabet.

Explanation:

The pigeonhole principle states that if k+1 objects are placed in l holes, there must be at-least one hole where more than one objects are placed. So is the case with the first letter of last names of 30 students as there are only 26 unique alphabets in English language.

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ra1l [238]

Answer:

MATLAB CODE:

clc;

clear all;

x=[1 2 3 4]; %Input vector of variable size

[gm,ra,hm]=arm_prop(x) %Main function calling , output values are hm, ra, hm and imput is x

%% Main function

function [gm,ra,hm]=arm_prop(x)

[gm]=geo_mean(x); %Calling Sub function 1

[ra]=rms_avg(x); %Calling Sub function 2

[hm]=har_mean(x); %Calling Sub function 3

 

%Sub function 2 =Rms average

function [gm]=geo_mean(x)    

n=numel(x); %calculating number of elemnts in vector x

temp=1; %Temporary value for multiplying each and every value of x

for i=1:1:n % For loop run for number of elements in x

temp=temp*x(i); %Multliplyng each and every element of x

end

gm=temp^(1/n); % Calculating geometric mean

end

%Sub function 2 =Rms average

function [ra]=rms_avg(x)

temp=0; %Temporary value for adding square of each and every value of x

N=numel(x); %calculating number of elemnts in vector x

for i=1:1:N % For loop run for number of elements in x

temp=temp+x(i)^2; %Adding square of each and every element of x

end

ra=(temp/N)^(1/2); % Calculating Rms average

end

%Sub function 3 =Harmonic mean

function [hm]=har_mean(x)

temp=0; %Temporary value for adding reciprocal of each and every value of x

N=numel(x); %calculating number of elemnts in vector x

for i=1:1:N % For loop run for number of elements in x

temp=temp+(1/x(i)); %Adding sreciprocal of each and every element of x

end

hm=N/temp; % Halculating Harmonic mean

end

end

Results:

gm =

2.2134

ra =

2.7386

hm =

1.9200

Here in one main function. 3 sub functions are written. Every sub function returns one output. As all 3 sub functions are inside main function, main function returns 3 output values gm, ra, hm.

Explanation:

3 0
4 years ago
Which of the following statements is not necessarily true for a well-arranged floor plan?
lorasvet [3.4K]

A well arranged floor plan is one that optimises the given floor area. Floor plans are useful to help design furniture layout, wiring systems, and much more. Option B is the answer, since it does not meet the standard of a plan

<h3>What is a Floor Plan?</h3>

A floor plan is a scaled diagram of a room or building viewed from above. The floor plan may depict an entire building, one floor of a building, or a single room. It may also include measurements, furniture, appliances, or anything else necessary to the purpose of the plan.

<h3>Other properties of a floor plan are:</h3>
  1. Maximize the property
  2. Utilize space effectively
  3. Accessibility
  4. Flexibility
  5. Functionality
  6. Maximize the use of light
  7. Attention to size
  8. Fitting to your lifestyle

Learn more:

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4 0
3 years ago
if two or more resistors are connected in parallel, the total resistance is _ than any single resistor
Andreas93 [3]
Parallel Resistor Equation
If the two resistances or impedances in parallel are equal and of the same value, then the total or equivalent resistance, RT is equal to half the value of one resistor. That is equal to R/2 and for three equal resistors in parallel, R/3, etc.
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3 years ago
A company, which makes forging die wants to improve their steel parts and they contacted you because they heard you know a techn
ruslelena [56]

Answer:

a

Hardness Test

b

The available hardness test are

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  • knoop test
  • scratch test
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I would suggest Rockwell test because

  • It has good accuracy
  • In this test loads can be applied in 2 stages hence better results are obtained
  • it saves time because it testing are faster

c

   Well the following would be the reasons for low hardness value

  • It could be because the steel used has a low percentage of carbon
  • it could also result from the quenching medium used (e.g water , brine solution e.t.c)

d

In order to solve this problem here are the following ways

  • When selecting steel the ones with a carbon percentage 0.3% to 0.8% should be selected
  • When quenching the quenching medium should be brine solution  

Explanation:

The reason why the answer to question is hardness test is because the heat treatment was carried out to obtain hardness so if it is great then the heat treatment is good

7 0
3 years ago
If a sky diver decides to jump off a jet in Arkansas
andrew-mc [135]

Answer:

The answer to this question can be defined as follows:

Explanation:

The sky driver began his sky journey from Arkansas, drove across the Tennessee River then landed in North Carolina. He returned to both the north in the very same direction. He began with NC, traveled through Tennessee, eventually lands in Arkansas. But North Carolina has been in the third state on which skydiver was traveling over, and It's also more than 700 miles from Arkansas to the NC.

6 0
3 years ago
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