Write a function $\verb#most_common_letter(string)#$ that determines the most commonly occurring letter in the input string. (If more than one letter is tied, it doesn't matter which one you return.) You should consider upper and lower case as the same letter. For example, $\verb#most_common_letter('This is a test of the function I have written')#$ should return 't', because 't' occurs 7 times, more than any other letter -- it occurs once as 'T' and 6 times as 't'.
Answers
Answer:
I am writing a Python program:
def most_common_letter (string): #function that takes a string as argument and returns the most commonly occurring letter in string
string = string.lower() # converts the string into lower case
inp_string="".join(string.split()) #splits the string in to a list and joins the elements of the list
maximum = 0 #sets the value of maximum to 0
letter = "" #stores the most commonly occurring letter
length = len(inp_string) #returns the length of the input string
counter = 0 #counts the occurrences of the letter in the string
for i in range(0, length): # iterates through the length of string
j = 0 #initializes j to 0
char = inp_string[i] # holds letter of input string at index position i
while length > 0: # iterates until the length of string exceeds 0
if (char == inp_string[j]): # if letter in char is equal to letter at index j of the string
counter += 1 #adds 1 to the count
j += 1 #increments j by 1
length -= 1 #decrements value of length by 1
if (maximum <= counter): #if maximum value is less than counter
maximum = counter #sets the maximum number of occurrences of a letter to maximum
letter = char #sets the most occuring letter in string to letter
return letter #returns the most commonly occurring letter in the input string
#in order to check if the function works properly use following statement
print(most_common_letter("This is a test of the function I have written")) #calls most_common_letter method by passing a string to it
Step-by-step explanation:
The program works as follows:
I will explain this with the help of an example. Suppose the string is:
string = "hello worLd"
first this string is converted to lowercase using lower() method. So the string becomes:
string = "hello world"
Next the string is split into a list using split() method. The string becomes:
['hello', 'world']
Then using join() this string is joined together on the basis of "" empty space
So the string becomes
helloworld
This string is assigned to the inp_string variable. Hence
inp_string = "helloworld"
The value of maximum is initialized to 0 and variable letter is also declared
which holds the most commonly occurring letter in the inp_string
len function is used to get the length of the inp_string
counter is initializes to 0. This counts the number of times the letter occurs in a string
The for loop iterates through the inp_string
Inside the loop the statement char = inp_string[i] sets the letter at the i-th index of inp_string to char.
i is initialized to 0 so inp_string[i] is inp_string[0] which is the first element of the string i.e. "h".
The program control then moves to the while loop. As length>0 so the program moves to the body of while loop which has an if statement: if (char == inp_string[j]):
This checks if the letter stored in char is equal to the letter at j-th index of the string. Now as j is initialized to 0. So
if (char == inp_string[0]): this evaluates to true and value of counter is incremented to 1. Next value of j also incremented to 1 and length of string is decremented to 1 Hence
counter = 1
j = 1
length = 9
Next if (maximum <= counter): condition checks if value of maximum is less than or equal to counter. It is true because maximum=0 and counter =1
So maximum = counter assigns counter value to maximum and letter = char assigns char to letter which was initially empty.
maximum = 1
letter = 'h'
At occurrence each iteration each letter in a string is counted and the letter that occurs the most in the string is returned by the function. For the above example hello world, letter l appears 3 times in the string and it is the most commonly occurring letter in the input string. So letter "l" is returned by this function. Hence the output of this program is l.
Related Questions
6.14 - (9 + 802 =
!!!
Answers
Evaluate each expression if a =2, b = -3 and c = -1 and d =4. 5bc
Answers
Answer:
15
Step-by-step explanation:
5bc = 5(-3)(-1) = -15(-1) = 15
If 2^x=5, what is 2^3x-4
Answers
Answer:
121
Step-by-step explanation:
2^3x - 4 = (2^x )^3 - 4 = 125 - 4 = 121
[tex]\implies\tt 2^x = 5 [/tex]
[tex]\implies\tt \Big( 2^x \Big)^3 - 4 [/tex]
[tex]\implies\tt 125 - 4 [/tex]
[tex]\huge\implies\tt 121 [/tex]
What is 12/2? Answer for 10 points!!!
Answers
Answer:
6
Step-by-step explanation:
12/2=6/1=6
Answer:
6
Step-by-step explanation:
(4x + 2y]³ -(4x-2y)³
Answers
Answer:
answer is attached
Five more than three times a number q in algebraic expression
Answers
Answer:
3q + 5
Step-by-step explanation:
Three times a number q is 3q, and 5 more than that is 3q + 5.
please help me!!!!!
Answers
Answer: see proof below
Step-by-step explanation:
Use the Sum & Difference Identity: tan (A - B) = (tanA - tanB)/(1 + tanA tanB)
Use the Half-Angle Identity: tan (A/2) = (1 - cosA)/(sinA)
Use the Unit Circle to evaluate tan (π/4) = 1
Use Pythagorean Identity: cos²A + sin²A = 1
Proof LHS → RHS
[tex]\text{Given:}\qquad \qquad \qquad\dfrac{2\tan\bigg(\dfrac{\pi}{4}-\dfrac{A}{2}\bigg)}{1+\tan^2\bigg(\dfrac{\pi}{4}-\dfrac{A}{2}\bigg)}[/tex]
[tex]\text{Difference Identity:}\qquad \dfrac{2 \bigg( \frac{\tan\frac{\pi}{4}-\tan\frac{A}{2}}{1+\tan\frac{\pi}{4}\cdot \tan\frac{A}{2}}\bigg)}{1+ \bigg( \frac{\tan\frac{\pi}{4}-\tan\frac{A}{2}}{1+\tan\frac{\pi}{4}\cdot \tan\frac{A}{2}}\bigg)^2}[/tex]
[tex]\text{Substitute:}\qquad \qquad \dfrac{2 \bigg( \frac{1-\tan\frac{A}{2}}{1+\tan\frac{A}{2}}\bigg)}{1+ \bigg( \frac{1-\tan\frac{A}{2}}{1+\tan\frac{A}{2}}\bigg)^2}[/tex]
[tex]\text{Simplify:}\qquad \qquad \qquad \dfrac{1-\tan^2\frac{A}{2}}{1+\tan^2\frac{A}{2}}[/tex]
[tex]\text{Half-Angle Identity:}\qquad \quad \dfrac{1-(\frac{1-\cos A}{\sin A})^2}{1+(\frac{1-\cos A}{\sin A})^2}[/tex]
[tex]\text{Simplify:}\qquad \qquad \dfrac{\sin^2 A-1+2\cos A-\cos^2 A}{\sin^2 A+1-2\cos A+\cos^2 A}[/tex]
[tex]\text{Pythagorean Identity:}\qquad \qquad \dfrac{1-\cos^2 A-1+2\cos A}{2-2\cos A}[/tex]
[tex]\text{Simplify:}\qquad \qquad \qquad \dfrac{2\cos A-2\cos^2 A}{2(1-\cos A)}\\\\.\qquad \qquad \qquad \qquad =\dfrac{2\cos A(1-\cos A)}{2(1-\cos A)}[/tex]
= cos A
LHS = RHS: cos A = cos A [tex]\checkmark[/tex]
Please solve, m +5=-m-2-5m+7?
Answers
Answer:
[tex]\Huge \boxed{m=0}[/tex]
Step-by-step explanation:
[tex]m +5=-m-2-5m+7[/tex]
Adding m and 5m to both sides of the equation.
[tex]m +5+m+5m= -m-2-5m+7+m+5m[/tex]
Subtracting 5 from both sides of the equation.
[tex]m +5+m+5m-5=-2+7-5[/tex]
Combining like terms and simplifying.
[tex]7m=0[/tex]
Dividing both sides of the equation by 7.
[tex]m=0[/tex]
Answer:
m = 0
Step-by-step explanation:
m + 5 = - m - 2 -5m + 7
m + 5 = -m - 5m - 2 + 7
m + 5 = -6m + 5 (combine like terms)
m = 0
Simplify: (x^-3/y) (x/y)^-1
Answers
Answer:
x(5)/(6)y(1)/(2)
Step-by-step explanation:
Hoped I helped
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The number that is 40% more than five more than a number a.
Answers
Answer:
7
Step-by-step explanation:
5×0.4 = 2
2 + 5 = 7
The number a would be 7 which is 40% more than five more than a number a.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given the number that is 40% more than five more than a number a.
We need to find the unknown number a.
So, 40 % = 0.4
Let find the first part that is; "the number that is 40% more than five"
5 × 0.4 = 2
Now, five more than a number a.
2 + 5 = a
a = 7
Therefore, the number a would be 7 which is 40% more than five more than a number a.
Learn more about the unitary method;
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In 2003, the population of an African country was about 19.5 million people, which is 2 million more than 5 times the population in 1950. Enter and solve an equation to find the approximate population p (in millions) in 1950.
Answers
Answer:
[tex]P = 3.5\ million[/tex]
Step-by-step explanation:
Given
Represent 1950 Population with P and 2003 Population with Q
[tex]Q = 19.5\ million[/tex]
Required
Determine the value of P
From the question; we have that
[tex]Q = 2\ million + 5 * P[/tex]
Substitute 19.5 million for Q
[tex]19.5\ million = 2\ million + 5 * P[/tex]
Subtract 2 million from both sides
[tex]19.5\ million - 2\ million= 2\ million - 2\ million + 5 * P[/tex]
[tex]19.5\ million - 2\ million= 5 * P[/tex]
[tex]17.5\ million = 5 * P[/tex]
Divide both sides by 5
[tex]\frac{17.5\ million}{5} = \frac{5 * P}{5}[/tex]
[tex]\frac{17.5\ million}{5} = P[/tex]
[tex]3.5\ million = P[/tex]
[tex]P = 3.5\ million[/tex]
Hence, the 1950 population is 3.5 million
What is the constant of proportionality (unit rate) for the following equation:a = 156 · n
Answers
Answer:
156
Step-by-step explanation:
n times the constant of proportionality = a
so n will always 156 times greater
In the figure the solid path indicates the usual path of a taxi cab. Unfortunately there was construction and the taxi cab had to take the dotted route. If each tick mark represents one mile, how much longer was the detour than the regular route
Answers
Answer:
A) 2 miles
Step-by-step explanation:
2) In the figure the solid path indicates the usual path of a taxi cab. Unfortunately, there was construction and the taxi cab had to take the dotted route. If each tick mark represents one mile, how much longer was the detour than the regular route?
A) 2 miles
B) 3 miles
C) 5 miles
D) 11 miles
Round 548.8 to the nearest thousand.
Answers
Answer:
The answer is 1,000
I'm confused on simplifying radicals.
Answers
Answer: 4 or [tex]\sqrt{4 * 4}[/tex]
To find the square root of a number, remember that there will be two factors that are the same that will give you the product.
Lets start from 1:
1 x 1 = 1
2 x 2 = 4
3 x 3 = 9
4 x 4 = 16
As you can see, 4 x 4 is 16. To make sure I'm correct, remember that a square roots consists two identical factors.
4 and 4 are the same numbers.
Therefore, [tex]\sqrt{16}[/tex] = 4
It can also be written as [tex]\sqrt{4 * 4}[/tex]
Answer:
the answer is 4
Step-by-step explanation:
I use a calulator but if you dont have one then the way to do square roots is find a number say 4 and put it to the 2 power and it equaks 16 (4^2)=16. I cant really explain much more
Can someone please help solve this and show me the formula of how to do it?
Answers
Answer:
f=2.93cm
Step-by-step explanation:
SOH CAH TOA [the length you are finding is adjacent to the angle and opposite to right angle is the hypotenuse, therefore use cosine]
cos(43°)=f/4
[times 4x on both sides it cancels on the left]
4cos(43°)=f
2.93=f
Two lines extend from point S to create a right angle. The vertical line extends from point S through point R. The horizontal line extends right from point S through point T. A third line extends right and up from point S through point U. Which is the endpoint of a ray? point R point S point T point U
Answers
Answer:
Option R
Step-by-step explanation:
The point S is the end point of ray.
What is line?
A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it.
According to the given information,
A ray's endpoint is a single point that denotes the conclusion of a line segment. In this instance, only one of the three lines that extend from point S contains a ray's terminus.
We must comprehend a ray's qualities in order to establish which location is the endpoint of a ray.
A ray originates at a single place and travels in one direction indefinitely. The beginning of the line segment is the endpoint of a ray.
We can see from the provided lines that the vertical line runs from point S via point R. Since it doesn't go on forever in one direction, this is not a ray example.
Similar to the vertical line,
The horizontal line also extends from point S through point T,
But it does not go on forever.
The third line is a ray because it is infinitely long in one direction and extends right and up from point S via point U.
Therefore, point S, the beginning of the line, is the endpoint of this ray.
Learn more about the equation of line visit:
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! 25 points ! a) 68 is what percent of 80? b) 88.83 is 423% of what? c) 36.8% of what number is 28.52? d) What number is 95% of 40? Thankyou!
Answers
Step-by-step explanation:
Let the number to be found be x
a).68 is what percent of 80 is written as
[tex] \frac{x}{100} \times 80 = 68[/tex]
Multiply both sides by 100
We have
80x = 6800
Divide both sides by 80
we have the answer as
x = 85
Therefore the percentage is 85%b).Let the number be x
88.83 is 423% of what is written as
[tex] \frac{423}{100} x = 88.83[/tex]
Multiply through by 100
We have
423x = 8883
Divide both sides by 423
We have the answer as
x = 21
The number is 21c).Let the number be x
36.8% of what number is 28.52 is written as
[tex] \frac{36.8}{100} x = 28.52[/tex]
Multiply through 100
We have
36.8x = 2852
Divide both sides by 36.8
We have the answer as
x = 77.5
The number is 77.5d).What number is 95% of 40 is written as
[tex] \frac{95}{100} \times 40[/tex]
We have the final answer as
38Hope this helps you
13x-7+7x-13=180 whats the answer?
Answers
Answer:
x=10
Step-by-step explanation:
13x-7+7x-13=180
Combine like terms
20x-20 = 180
Add 20 to each side
20x -20+20 = 180+20
20x=200
Divide by 20
20x/20 = 200/20
x = 10
Answer:x=10
Step-by-step explanation:
1.add the number
2.add the same term to bothe sides of the equation
3.simplify
4.divide bothe side of the equation by the same term
5.simplify
**50 Points Possible** I NEED URGENT HELP
please provide a graph
Answers
Answer:
See below.
Step-by-step explanation:
1)
For Ben's social media post, we are told that it was initially shared to only 2 people. However, each of those shares it with 3 people. In other words, Ben's post triples every day. This means that the rate of growth is 3. Thus, Ben's post as an exponential function is:
[tex]f(x)=2(3)^x[/tex]
The 2 represents the initial amount at day 0, and the 3 represents the rate at which the post grows each day.
2)
Similarly, Carter's post was originally sent to 10 people. However, each of the 10 shares it with two others. Therefore, it doubles each day. Thus, the rate is 2. So, Carter's exponential function is:
[tex]f(x)=10(2)^x[/tex]
The 10 represents the initial amount while the 2 represents the rate.
3)
I've use Desmos to graph the functions. Refer to the picture attached. Red is Amber, blue is Ben, and green is Carter.
4)
To find out the number of shares each student's post will receive on day 3 and day 10, simply plug the numbers into the functions. Therefore:
For Amber:
Day 3:
[tex]f(3)=3(4)^3=192[/tex]
Day 10:
[tex]f(10)=3(4)^{10}=3,145,728[/tex]
For Ben:
Day 3:
[tex]f(3)=2(3)^3=54[/tex]
Day 10:
[tex]f(10)=2(3)^{10}=118,098[/tex]
And for Carter:
Day 3:
[tex]f(3)=10(2)^3=80[/tex]
Day 10:
[tex]f(10)=10(2)^{10}=10,240[/tex]
5)
Amber's new graph of:
[tex]f(x)=3(4)^x+45[/tex]
will be a shifted version of her original graph. The new graph will be shifted upwards by 45 units. However, since the 45 is not affected by the x in any way, the change will be minuscule. For instance, her number of shares on day 10 of the old graph is 3,145,728. Even with the additional 45, it will just be: 3,145,773. With enough days, the additional number becomes trivial.
6)
On the 10th day, Amber's post was shared almost 3 million times, while Ben's was shared "only" 118,098 times and Carter's with 10,240. Undoubtedly, Amber's post was the fastest.
7)
If you want to most shares as possible, choose Amber with fewer friends initially but more shares. This is because the exponential potential of a number even just a bit higher is insane. For instance, 3^10 (Ben's rate at 10th day) is only 59,049 while Amber's rate will be 4^10 which is 1,048,576. Amber's number is almost 18 times higher than Ben's. Even if Ben's initial number was say 1,000 or even 1,000,000, Amber would catch up rather quickly. Therefore, the rate is the quintessential part of an exponential growth function.
Answer:
Here is the slope:
[tex]y = zy + dsince m = 0c = 9[/tex]
Hope this helps
2²•1/2⁵•2⁵•1/2²??????
Please help
Answers
Answer: 1
Step-by-step explanation:
You just simplify each number by the square and then you multiply all of them!!
If n denotes a number to the left of 0 on the number line such that the square of n is less than \small \frac{1}{100}, then the reciprocal of n must be
Answers
Answer:
The reciprocal of n must be less than 10.
Step-by-step explanation:
It can be inferred from the question given that n is not a negative number.
But,
[tex](n)^{2}[/tex] < [tex]\frac{1}{100}[/tex]
Find the square root of both sides,
n < [tex]\sqrt{\frac{1}{100} }[/tex]
⇒ n < [tex]\frac{1}{10}[/tex]
n < 0.1
The reciprocal of n can be estimated as;
[tex](n)^{-1}[/tex] < [tex](\frac{1}{10}) ^{-1}[/tex]
[tex]\frac{1}{n}[/tex] < 10
The reciprocal of n is less than 10.
A plant measures 6cm two weeks into an experiment and then measures 12cm four weeks after that. Write the equation of the line describe this situation if x=weeks and y=centimeters
Answers
Answer:
y = 3x
Step-by-step explanation:
Use rise over run (y2 - y1) / (x2 - x1) to find the slope
(12 - 6) / (4 - 2)
6/2
= 3
The plant will be 0 cm at 0 weeks, since 3(0) = 0
So, the equation will be y = 3x
the lcd for fractions 1/3 3/4 and 8/9 is
Answers
Answer:
the answer is /36
Step-by-step explanation:
3 goes into 36
4 goes into 36
9 goes into 36
The length of a side of a square field is 48m.Find the cost of ploughing the field at the rate of rs 25/m and cost of fencing the field at the rate of rs 18/m
Answers
Answer: rs 4800, rs 3456
Step-by-step explanation:j
given data:
length of a sid = 48m
cost of ploughing the field = rs 25/m
cost of fencing the field = rs 18/m
solution:
we know a square has four equal sides. so total length of the field is
= m ( 48 + 48 +48 + 48 )
= 192m
cost of ploughing the field
= 192m * rs 25
= rs 4800
cos of fencing the field
= 192m * rs 18
= rs 3456
Find the area of the triangle ABC A(-6,2) B(3,2) c(-2,6) D (-2,2)
Answers
Answer:
18 square units.
Step-by-step explanation:
Area of the triangle = ½*AB*CD
First of all, find the length of AB and CD using the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
A(-6, 2) => (x1, y1)
B(3, 2) => (x2, y2)
[tex] AB = \sqrt{(3 -(-6))^2 + (2 - 2)^2} [/tex]
[tex] AB = \sqrt{(9)^2 + (0)^2} = \sqrt{81} = 9 [/tex]
[tex] CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
C(-2, 6) => (x1, y1)
D(-2, 2) => (x2, y2)
[tex] CD = \sqrt{(-2 -(-2))^2 + (2 - 6)^2} [/tex]
[tex] CD = \sqrt{(0)^2 + (-4)^2} = \sqrt{16} = 4 [/tex]
AB = 9
CD = 4
Area of rectangle = ½*AB*CD = ½*9*4 = 9*2 = 18 square units.
Answer:
18
Step-by-step explanation:
A fountain was marked up 170% from an original cost of $1000. Last Friday ,Bernie bought the fountain and paid and additional 13% in sales tax.what was his total cost?
Answers
Answer:
$ 3051
Step-by-step explanation:
Original cost = $ 1000
Marked up Price = Original cost + 170% of 1000
= 1000 + 1.7 * 1000
= 1000 + 1700
= $ 2700
Sales tax = 13% of 2700
= 0.13 * 2700
= 351
Total cost paid by Bernie = 2700 + 351 = $ 3051
HeLLLPPP PLEASE IM BEGGING YOU
Answers
Answer:
4.625
Step-by-step explanation:
5/8 = 0.625
To find 5/8, simply divide it.
So 4 and 5/8
= 4.625
The sum of all the integers from 1000 and 10000 inclusive is y. Which expression represents the sum of all integer from 1003 to 10000 included?
Answers
Answer:
Step-by-step explanation:
What's missing from the original condition.
1000
1001
1002
=====
3003
So the answer is y - 3003
Convert the following decimal to a fraction. Be sure to simplify your fraction, .19 repeated
Answers
Answer:
0.19 = 19/100
Step-by-step explanation:
Rewrite the decimal number as a fraction with 1 in the denominator
0.19=0.191
Multiply to remove 2 decimal placesy 102 = 100
0.19/1 × 100/100 = 19100
Conclusion
0.19=19100