It is estimated that 0.861 percent of the population is faulty. The sample proportion's standard error is 0.022. A 98% confidence level has an upper bound of 0.910 and a lower bound of 0.812.
What is a proportion?The comparative relationship between two or more things in terms of their size, amount, or number is referred to as a "proportion." Either a ratio or a fraction can be used to express it. The term "proportion" in statistics refers to the division of the total number of events by the frequency of each event.
The formula p = x/n, where p is the estimated proportion of defectives in the population, x is the number of defectives in the sample, and n is the sample size, can be used to determine the estimated proportion of defectives in the population.
When we substitute values, we obtain:
p = 353/410 = 0.861
As a result, the population's estimated defectiveness rate is 0.861.
The formula SE = √(p(1-p)/n), where SE is the standard error and n is the sample size, can be used to get the standard error of the sample percentage.
When we substitute values, we obtain:
SE is equal to√(0.861(1.0.861)/410) = 0.022.
As a result, the sample proportion's standard error is 0.022.
Using the following formula, the upper and lower bounds for a 98% confidence level can be determined:
Lower bound = z*SE - p
Upper bound = z*SE + p
where z is the z-score for a 98% degree of confidence.
We discover that the z-score corresponding to a 98% confidence level is roughly 2.33 using a z-table or calculator.
When we substitute values, we obtain:
Lower bound is equal to 0.861 - 2.33*0.022, or 0.812.
Upper bound is equal to 0.861 + 2.33 * 0.022 = 0.910.
Consequently, the range of a 98% confidence level is as follows:
Maximum: 0.910
Upper limit: 0.812
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It is estimated that 0.861 percent of the population is faulty. The sample proportion's standard error is 0.022. A 98% confidence level has an upper bound of 0.910 and a lower bound of 0.812.
What is a proportion?
The comparative relationship between two or more things in terms of their size, amount, or number is referred to as a "proportion." Either a ratio or a fraction can be used to express it. The term "proportion" in statistics refers to the division of the total number of events by the frequency of each event.
The formula p = x/n, where p is the estimated proportion of defectives in the population, x is the number of defectives in the sample, and n is the sample size, can be used to determine the estimated proportion of defectives in the population.
When we substitute values, we obtain:
p = 353/410 = 0.861
As a result, the population's estimated defectiveness rate is 0.861.
The formula SE = √(p(1-p)/n), where SE is the standard error and n is the sample size, can be used to get the standard error of the sample percentage.
When we substitute values, we obtain:
SE is equal to\(\sqrt{\frac{0.861(1.0.861)}{410)}\)= 0.022.
As a result, the sample proportion's standard error is 0.022.
Using the following formula, the upper and lower bounds for a 98% confidence level can be determined:
Lower bound = z*SE - p
Upper bound = z*SE + p
where z is the z-score for a 98% degree of confidence.
We discover that the z-score corresponding to a 98% confidence level is roughly 2.33 using a z-table or calculator.
When we substitute values, we obtain:
Lower bound is equal to 0.861 - 2.33*0.022, or 0.812.
Upper bound is equal to 0.861 + 2.33 * 0.022 = 0.910.
Consequently, the range of a 98% confidence level is as follows:
Maximum: 0.910
Upper limit: 0.812
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1:
Give examples of two points that you could use to plot the graph of the function
f(x) = (3x³ + 2)/(x2-5).
The two points that could be used to plot the graph of the function (0, -0.4) and (-0.874, 0)
In this question, we have been given a function f(x) = (3x³ + 2)/(x^2-5).
We need to plot the graph of the function.
We find some coordinates of point on the graph of function.
For x = 0,
f(0) = (30³ + 2)/(0^2-5)
f(0) = 2/(-5)
f(0) = -0.4
For f(x) = 0,
0 = (3x³ + 2)/(x^2-5)
(3x³ + 2) = 0
3x³ = -2
x = -0.874
for x = 1,
f(1) = (3(1)³ + 2)/(1^2-5)
f(1) = 5/(1 - 5)
f(1) = 5/(-4)
f(1) = -1.25
The graph of function f(x) = (3x³ + 2)/(x2-5) is as shown below.
Therefore, the two points that could be used to plot the graph of the function (0, -0.4) and (-0.874, 0)
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Use a number line to round the number 573 to the nearest 10.
Answer: The answer is 570.
Step-by-step explanation:
So, if you know what numbers are, when you round, this question is easy. If you take a number line and put 570 on the left side and 580 on the right side, and 575 in the middle, you almost got it. Since the number we want to round is 573, we put it in the middle of 570 and 575. And since the number is closer to 570 than 580, the answer is 570. Your welcome!
12
Select the correct answer.
The scatter plot represents the purchase prices and selling prices of X-ray machines made by five different manufacturers. Which of the following
points show errors of prediction or residuals?
OA.
OB.
O C.
O D.
Points (14, 25) and (15, 25)
Points (15, 25) and (18, 26)
Points (14, 25) and (16, 25)
Points (12, 24) and (18, 26)
Estimated Selling Price (in $1,000)
26.5
26-
25.5
25
24.5
24
23.5
10
11
12 13 14 15 16 17 18 19 20
Purchase Price (in $1,000)
The points on the scatter plot show the different predictions. The straight line drawn is called the line of regression.
Errors in prediction for each point can be determined by drawing a vertical line from the point to the line of regression. As seen in the image, all of the prediction points are found on the line except for points (14,25) and (16,25). Therefore, these points contain errors in prediction.
The graph that represent this data using the points is added as an attachment
From the question, we have the following parameters that can be used in our computation:
The x and y values
Where
x = stars
y = price
To determine the graph that represent the data, we enter the x and y values in a graphing tool to create the graph
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A person cycles from their home to a library which is 8 kilometers away. It takes them 20 minutes to reach the library. They stay there for 30 minutes to read, and then walk to their friend's home which is 4 kilometers from the library and reach there in 20 minutes. Which graph best represents this situation?
It’s cAnswer:
Step-by-step explanation:
it’s right
The graph that represents the situation is added as an attachment
How to determine the graph of the situationFrom the question, we have the following parameters that can be used in our computation:
Library = 8 kilometers for 20 minutesTime at rest = 30 minutesFriend = 4 kilometers for 20 minutesThis means that the graph would be represented using a distance/time graph
Such that the distance would be on the y-axis and the time would be on the x-axis
See attachment for the graph
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Help please asap no links please
So the new coordinates of point C are (1, 2), and the image of Triangle ABC is congruent to the original triangle.
What is triangle?A triangle is a closed, two-dimensional geometric figure with three straight sides and three angles. It is one of the basic shapes in geometry and can be classified based on the length of its sides or the size of its angles. A triangle with all sides of equal length is called an equilateral triangle, while a triangle with two sides of equal length is called an isosceles triangle. A triangle with no sides of equal length is called a scalene triangle. Triangles can also be classified based on the size of their angles, with an acute triangle having all angles less than 90 degrees, a right triangle having one angle equal to 90 degrees, and an obtuse triangle having one angle greater than 90 degrees.
Here,
To find the new coordinates of point C after the rotation and translation, we need to perform each transformation separately and then combine them.
Rotation:
To rotate a point 180° counterclockwise about the origin, we switch the sign of both coordinates. Therefore, the new coordinates of point C after the rotation are (-3, -2).
Translation:
To translate a point to the right 4 and up 4, we add 4 to the x-coordinate and 4 to the y-coordinate. Therefore, the new coordinates of point C after the translation are (1, 2).
To determine if the image of Triangle ABC is similar or congruent to the original triangle, we need to compare the corresponding sides and angles of both triangles.
Since we performed a rotation of 180°, all the angles in the image triangle are congruent to the corresponding angles in the original triangle. Additionally, since we performed a translation, the sides of the image triangle are congruent to the corresponding sides of the original triangle. Therefore, the image triangle is congruent to the original triangle.
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jenny had 20 makers her sis gave her a few she has 84 now how many did she have befor
Jenny started with 20 markers
her sister gave her 64
Answer:
64
Step-by-step explanation:
64 because 20 to 84 is 64
64+20=84
84-64=20 so it is 64
Cherise deposits $450 into a bank account that earns 3% simple interest per year.
What is the total amount in the account after four years?
PLZ ANSWER ASAP
Answer:
$504
Step-by-step explanation:
The total amount in the account after four years 504
What is simple interest ?
The interest on a loan or principal amount can be easily calculated using simple interest. Simple interest is a notion that is employed across a wide range of industries, including banking, finance, automobiles, and more. When you pay back a loan, the monthly interest is deducted first, and any remaining funds are applied to the principle.
The formula for simple interest helps you find the interest amount if the principal amount, rate of interest and time periods are given.
Simple interest formula is given as:
SI = \(\frac{PRT}{100}\)
Where SI = simple interest
P = principal
R = interest rate (in percentage)
T = time duration (in years)
In order to calculate the total amount, the following formula is used:
Amount (A) = Principal (P) + Interest (I)
Where,
Amount (A) is the total money paid back at the end of the time period for which it was borrowed.
The total amount formula in case of simple interest can also be written as:
A = P(1 + RT)
Here,
A = Total amount after the given time period
P = Principal amount or the initial loan amount
R = Rate of interest (per annum)
T = Time (in years)
Given,
P = 450
R = 3%
T = 4
Formulate and substitute: 450+ 450RT
Calculate the product or quotient: 450 X (1+0.12)
Calculate the sum or difference: 450 X 1.12
Calculate the product or quotient: 504
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Solve for x and graph the solution on the number line below.
The solution of the inequality is 8 ≥ x or x > 10. The graph of the solution is attached
How to solve for x and graph the solution on the number line?An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.
Solving for x:
11≥ 2x - 5 or 2x - 5 > 15
Collect like terms:
11 + 5 ≥ 2x or 2x > 15 + 5
16 ≥ 2x or 2x > 20
8 ≥ x or x > 10
Note: 8 ≥ x can also be written as x ≤ 8
We can combine the two as follow:
Inequality notation: 8 ≥ x > 10
The graph of the solution is attached
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find the slope of the line passing through the points (-3,7) and (-3,-8)
Answer:
-15/0= Undefined
Step-by-step explanation:
y2-y1/x2-x1
Answer:
1/2
Step-by-step explanation:
because i did this before
Write the following rational expression in lowest term
Given rational expression is
\(\frac{t^2-4}{6t-12}\)Factor the numerator and denominator first.
\(\begin{gathered} t^2-4=t^2-2^2 \\ =(t+2)(t-2) \end{gathered}\)Factor the denominator 6t-12:
\(\begin{gathered} 6t-12=6t-6\cdot2 \\ =6(t-2) \end{gathered}\)So,
\(\begin{gathered} \frac{t^2-4}{6t-12}=\frac{(t+2)(t-2)}{6(t-2)} \\ =\frac{t+2}{6} \end{gathered}\)Therefore, the given expression in lowest form is
\(\frac{t+2}{6}\)Circle A has been transformed to Circle B.
What is the scale factor of Circle A to Circle B?
Scale Factor
=
Image Radius
Pre- Image Radius
Answer: 21
Step-by-step explanation: im not guessing im a certified expert at calculus and have a masters degree in mathmatics so yeah
Answer:
21
Step-by-step explanation:
I did the test
Hope this helps :)
Peter set off from Town A at 10 am, driving at an average speed of 84 km/h. He reached
Town B at 2 pm. If William set off 1 hour 25 minutes earlier than Peter and took the
same route at an average speed of 70 km/h, at what time would William reach Town B?
Peter left Town A around 10 a.m., traveling at an average speed of 84 km/h. William would reach Town B at 1:23 PM.
Firstly, we need to find the distance between Town A and Town B which can be calculated by calculating the distance travelled by Peter
Time taken by Peter = 2PM - 10AM
= 4 hrs
Speed of Peter = 84 km/h
Distance travelled by Peter = speed × time
= 84 × 4
= 336 km
So, the distance between Town A and Town B = distance travelled by Peter = 336 km.
Now, we will calculate time taken by William.
Speed of William = 70 km / hr
Distance travelled by William = distance between Town A and town B = 336 km
Time taken by William = distance / speed
= 336 / 70 hr
= 4.8 hr
This can b converted into hrs and minutes
4.8 hr = 4 hr + 0.8 × 60
= 4 hr 48 mins
Time William took off = 10 AM - 1hr 25 mins
= 8:35 AM
Now, we will calculate the time William would reach town B.
Time = 8:35 + 4hr 48 mins
= 1:23 PM
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Convert 18 over 5 to a decimal using long division.
Answer:
3.6
Step-by-step explanation:
18/5 =3.6
5/5 = 1
18 - 15 =3. 15/5= 3
the remaining
3/5 = 0.6
3+0.6=3.6
Binh has to write an 8 page report. If he has written 3/4 of his report so far, how many pages has he written?
Answer:
6
Step-by-step explanation:
you're overthinking the problem, all you have to do is multiply 8 and (3/4) to get 6, super easy
-11b+7=40 how do we solve for b?
We want to find the unknown value b in the following equation
-11b + 7 = 40
Since both sides are the same we can substract 7 both sides and it will be true
-11b + 7 - 7 = 40 - 7
-11b + 0 = 33
-11b = 33
We want to have just b in one side of the equation, we can divide both sides by -11, since they are equal:
-11b = 33
\(\begin{gathered} \frac{-11b}{-11}=\frac{33}{-11} \\ 1\cdot b=-3 \\ b=-3 \end{gathered}\)Answer: b = -3Please gimme the variables to define the sytem and 2 system of equations
Answer:
\(8.5x+4y=99.5,\ x+y=17\)
Step-by-step explanation:
\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)
5x/8x^2+5x
Find the restricted values of x for the following rational expression. If there are no restricted values of x, indicate "No Restrictions".
Answer:
\(x\neq 0\)
Step-by-step explanation:
Dividing by 0 is undefined, hence not allowed.
The denominator of the first term contains x^2.
Hence 0 is not allowed.
Find the solution of the system of equations. 10x + 8y = 42. -8x - 8y = -40
Question 8 of 10 These box plots show daily low temperatures for a sample of days in two different towns. Town 15 20 40 45 Town B 35 40 45 48 TH 5 10 20 45 50 55 80 25 30 35 40 Degrees (F) Which statement is the most appropriate comparison of the centers? A. The median for town A, 15°, is greater than the median for town B, 2. B. The mean for town A, 30°, is less than the mean for town B, 40°. O C. The median temperature for both towns is 40°. D. The median for town A, 30°, is less than the median for town B, 40° no files, links, or anything like thats i just want a straight forward answer please help
Answer:
i believe it is d
Step-by-step explanation:
the line thats in between the two squares is the median. Town A's median is 30 and Town B's median is 40, making Town's A median less than Town B's. hope i helped:)
The median for town A at 30° is less than the median for town B at 40°. So option (D) is the correct answer.
What is the median?"The median is the "middle" of a sorted list of numbers. To find the median, place the numbers in value order and find the middle number".
For the given diagram,
Town A has temperatures = 20°, 30°, 40°
Town B has temperatures = 30°, 40°, 50°
The median of A = 30°
The median of B = 40°
From the above values, the median for town A at 30° is less than the median for town B at 40°.
Hence we can conclude that option (D) is the correct answer.
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Enter the value of some ergoession 34+) is equinient to 3=o).
Answer:
1/27
Step-by-step explanation:
Answer:
1/27 is correct give brainliest to fist respond
HELP I WILL GIVE BRAINLIEST IF RIGHT
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
I might be wrong but i'm pretty sure it's right
Simplify the expression enter the answer in the box 5 1/6 - 7 1/3
The simplified expression of \(5\frac{1}{6} -7\frac{1}{3}\) is\(-2\frac{1}{6}\) .
What is mixed fraction?A fraction represented with its quotient and remainder is called a mixed fraction.
How to convert a mixed fraction into a improper fraction?To convert a mixed number into an improper fraction, multiply the whole number with the denominator of the proper fraction. Add the numerator of the proper fraction to this product to obtain the numerator of the improper fraction.
According to the given question
We have an expression
\(5\frac{1}{6} -7\frac{1}{3}\)
Before, simplifying the expression convert the given mixed fraction into improper fraction of the given expression.
So, \(5\frac{1}{6} =\frac{31}{6}\)
and, \(7\frac{1}{3} =\frac{22}{3}\)
Substitute these values in the given expression
⇒ \(5\frac{1}{6} -7\frac{1}{3} = \frac{31}{6} -\frac{22}{3}\)
⇒\(5\frac{1}{6} -7\frac{1}{3} = \frac{31-2(22)}{6}\)
⇒\(5\frac{1}{6} -7\frac{1}{3} =\frac{31-44}{6}\)
⇒\(5\frac{1}{6} -7\frac{1}{3} =\frac{-13}{6}\)
⇒\(5\frac{1}{6} -7\frac{1}{3} = -2\frac{1}{6}\)
Hence, the simplified expression of \(5\frac{1}{6} -7\frac{1}{3}\) is\(-2\frac{1}{6}\) .
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A pharmaceutical company is carrying out
a trial for a new flea prevention
medication that is designed to work for
dogs or cats. They recruit pet owners and
ask them what flea prevention they
currently use. They randomly assign half of
the dogs in the study to the new flea
prevention medication, and the other half
of the dogs in the study will receive their
current prevention. A similar process is
carried out with the cats in the study.
What type of experiment design is this?
Choose 1 answer:
A
B
A randomized block design where the
pet types (dogs and cats) are the blocks
A systematic cluster design
A matched pairs design where the new
and existing flea medications are the pair
In the experiment in which researcher randomly assign half of the dogs in the study to the new flea prevention medication, and the other half of the dogs in the study will receive their current prevention, this type of experiment design is a randomized block design where the pet types (dogs and cats) are the blocks.
What is randomized block design in experiment design?Randomized block design is a type of experimental design that is used to control for the effects of extraneous variables. It involves dividing the subjects or treatments into groups, or blocks, that are similar with respect to the extraneous variable.
These blocks are then randomly assigned to the treatments being tested. By controlling for the extraneous variable in this way, the randomized block design can reduce error and increase the accuracy of the results.
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Answer:
answer B (Khan)
Step-by-step explanation:
A randomized block design where the pet types (dogs and cats) are the blocks
Higher Order Thinking Morgan read
a thermometer at 7:00 P.M. The
temperature was 16°C. This temperature
was 9°C less than the temperature at
2:00 P.M. The temperature at 2:00 P.M.
was 10°C higher than the temperature at
8:00 A.M. What was the temperature at
8:00 A.M.?
The temperature at 8:00 A.M. was 15°C.
Using the given information:
1. At 7:00 P.M., the temperature was 16°C.
2. This temperature was 9°C less than the temperature at 2:00 P.M.
We can use this information to find the temperature at 2:00 P.M.:
Temperature at 2:00 P.M. = 16°C (temperature at 7:00 P.M.) + 9°C
Temperature at 2:00 P.M. = 25°C
3. The temperature at 2:00 P.M. was 10°C higher than the temperature at 8:00 A.M.
Now, we can find the temperature at 8:00 A.M.:
Temperature at 8:00 A.M. = 25°C (temperature at 2:00 P.M.) - 10°C
Temperature at 8:00 A.M. = 15°C
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By using graphical method, find optimal solution of the problem max z = 3x + y s.t 2x - y ≤ 5 -x + 3y ≤ 6 x ≥ 0, y ≥ 0
By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.
To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.
Let's start by graphing the constraints:
1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.
2. Plot the line -x + 3y = 6 using a similar process.
3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.
Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.
Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.
Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.
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Geraldo asked 21 friends to pick a random number between 1 and 7. Here are their responses
When random numbers are picked between 1 and 7the median and the mean is located approximately on point B.
What is cumulative frequency?The frequency that is acquired this manner is known as the cumulative frequency in statistics. The frequency of the first-class interval is added to the frequency of the second class, and this total is added to the third class and so on (c.f.). A cumulative frequency distribution or cumulative frequency table is a table that shows the cumulative frequencies that are dispersed throughout different groups.
For the given distribution of numbers calculate the cumulative frequency depending on the frequency.
Number Frequency CF
1 3 3
2 3 6
3 3 9
4 3 12
5 3 15
6 3 18
7 3 21
The median of the frequency table is:
Median = (n+1)/2 = (21+1)/2 = 11
11th position in the table corresponds to 4, and hence the approximate location of the median is B.
Mean = (3)(1+2+3+4+5+6+7)/ 21 = 4
Hence, the approximate location of the mean is B.
Hence, when random numbers are picked the median and the mean is located approximately on point B.
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The correct question is:
Geraldo asked friends to pick a random number between and . Here are their responses:
the train from Geneva Switzerland to Milan Italy travels at 100 miles per hour and the two cities are 200 miles apart how long does the journey from Geneva to Milan take
Answer:
2 hours
Step-by-step explanation:
Answer: the journey will take you 2 hours.
Step-by-step explanation:
here is a list of number 51 38 48 36 39 40 39 47
WHAT is the median
Answer:
36
Step-by-step explanation:
Median is the Middle number in the sequence.
Hope this Helps!!
:D
-2 x + 4 =2 x - 4 solve .
Answer:
\(\sf{x = 2}\)
Step-by-step explanation:
Question type: solving equations with variables on both sides.
\(\textsf{This is a question with variables on both sides, to solve this we need to get the variable x }\)
\(\textsf{alone. (getting the x on one side)}\)
--------------------------------------------------------------
\(\sf{-2x~+~4~=~2x~-~4\)
Subtract 4 from both sides.
\(\sf{-2x~=~2x~-8\)
Subtract 2x from both sides.
\(\sf{-4x~=~-8}\)
Divide both sides by -4.
\(\bf{x~=~2\)
Therefore, x would be 2.
\(-jurii\)
Answer:
x=2
Step-by-step explanation:
Indigo went shopping for a new pair of sneakers. Sales tax where she lives is 3.75%. The price of the pair of sneakers is $20. Find the total price including tax. Round to the nearest cent.
Step-by-step explanation:
price=$20tax rate=$3.75multiply the price with rate and you will get tax the add it to the real pricetotal price incl. tax= 20+(20*3.75/100)=20.75there is your answer...The total price of sneakers including tax will be equal to $20.75.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Price of sneakers = $20
Tax on sneakers = 3.75%
Then, the amount of tax will be,
(20 × 3.75)/100
= 75/100
= $0.75
Then, the total price of the sneakers will be,
$20 + $0.75
= $20.75
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