The total change in the number of bushels he has for sale after 7 days = 116.2
In this question,
A farmer sells an average of 16 3/5 bushels each day.
We write above improper fraction 16 3/5 in proper fraction as 83/5
And the decimal form of given fraction 83/5 is:
83/5 = 16.6
After 7 days, he would sold (16 3/5) × 7 bushels.
We simplify an expression (16 3/5) × 7
(16 3/5) × 7 = 16.6 × 7
= 116.2
As a result, the farmer would have only 120 - 116.2 = 3.8 bushels for sale.
Therefore, the total change in the number of bushels he has for sale after 7 days = 116.2
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please help me to resolve this problem
If the length of the American flag is 9.5 feet and 1.9 times the width, the width of the flag will be 5 feet.
What are the length and the width?The length is the measurement of the distance from one point to another.
The width measures the distance from the shorter corner to the end.
Both length and width measure distances of objects or distances from one point to the end.
Data and Calculation:The length of the flag = 9.5 feet
The ratio of the length to the width = 1.9
The width of the flag = 5 feet (9.5/1.9)
Thus, if the length of the American flag is 9.5 feet and 1.9 times the width, the width of the flag will be 5 feet.
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The answer please please answer
Answer:
w=24, I hope this helps
Step-by-step explanation:
17=41-w w=24,
Answer:
The fourth one
Step-by-step explanation:
41 - 17 = 24
How to check your answer
24 + 17 = 41
Important When answering questions in a mathematics course always be sure to use the following guidelines to help you do your best: • Provide full solution, showing all of your steps. • Make sure that there is one step or idea per line.
• Use one equal sign per line.
• Make sure that equal signs line up vertically.
• Don't use self-developed short form notations. • Sketch (by hand, or with technology) a Distance - Time graph for each of the following scenarios:
1. A remote control car travels along a straight track at a constant speed of 2.0 m every second for 4 seconds and the suddenly stops for 3 seconds. It then travels 3 seconds backwards at 1.5 m per second. 2. An elevator travels from the lobby to the 36th floor in 45 seconds and stops for 15 seconds to let people off. It then descends (at the same rate) to the 28th floor, stops to let more people off (15 seconds), and returns to the lobby (at the same rate). How long does it take the elevator do complete this trip?
The total time taken by the elevator for the entire trip is 45 s + 15 s + 15 s + 15 s + 45 s = 135 seconds i.e., it takes the elevator 135 seconds to complete the entire trip.
The remote control car travels forward for 4 seconds at a speed of 2.0 m/s, then stops for 3 seconds, and finally travels backward for 3 seconds at a speed of 1.5 m/s.
The elevator travels from the lobby to the 36th floor in 45 seconds, stops for 15 seconds, descends to the 28th floor, stops for 15 seconds again, and returns to the lobby.
The total time taken by the elevator to complete this trip is calculated by adding up the times for each segment.
For the remote control car, it travels forward at 2.0 m/s for 4 seconds, covering a distance of 2.0 m/s * 4 s = 8 meters.
It then stops for 3 seconds, and finally travels backward at 1.5 m/s for 3 seconds, covering a distance of 1.5 m/s * 3 s = 4.5 meters.
Therefore, the total distance covered by the car is 8 m + 4.5 m = 12.5 meters.
For the elevator, it takes 45 seconds to go from the lobby to the 36th floor, and it stops for 15 seconds to let people off.
Similarly, it takes 15 seconds to go from the 36th floor to the 28th floor, and another 15 seconds to let people off.
Finally, it takes 45 seconds to return from the 28th floor to the lobby.
Therefore, the total time taken by the elevator for the entire trip is 45 s + 15 s + 15 s + 15 s + 45 s = 135 seconds.
In conclusion, it takes the elevator 135 seconds to complete the entire trip, including stops at different floors, based on the given information.
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Leslie's family traveled 2/7 of the distance to her aunt’s house on Saturday. They traveled 4/5 of the remaining distance on Sunday. What fraction of the total distance to her aunt’s house was traveled on Sunday?
The fraction of the total distance to her aunt’s house was traveled on Sunday is 1 3/35
The term called fraction in math is defined as the number is expressed as a quotient, in which the numerator is divided by the denominator.
Here we have know that Leslie's family traveled 2/7 of the distance to her aunt’s house on Saturday and they traveled 4/5 of the remaining distance on Sunday.
Then the total distance is calculated by adding the given fraction, then we get,
=> 2/7 + 4/5
Here we have the unlike denominators find the Least Common Denominator (LCD),
LCD of 7 and 5 = 35
Now, we have to multiply numerators and denominators to get the LCD in all fraction denominators, then we get,
=> 10/35 + 28/35
=> 38/35
When we Simplifying the answer, then we get,
=> 1 3/35
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what is the distance between points H(20, –4), I(-4,3)
Answer:
3446
Step-by-step explanation:
&&4%65444454585547
find the taylor polynomial t3(x) for the function f centered at the number a. f(x) = 1 x , a = 4
We have a function, f(x) = x and a number a= 4. We need to find the Taylor polynomial t3(x) for the function f centered at the number
a.To find the Taylor polynomial, we use the following formula; $$T_{n}(x) = f(a) + \frac{f^{'}(a)}{1!}(x-a) + \frac{f^{''}(a)}{2!}(x-a)^2 + ... + \frac{f^{n}(a)}{n!}(x-a)^n$$where n = 3So, we have to find the first three derivatives of the function f(x) = x.f'(x) = 1f''(x) = 0f'''(x) = 0Now, let's use the above formula to find the Taylor polynomial t3(x) for the function f centered at the number a.T3(x) = f(4) + (f'(4) / 1!) (x-4) + (f''(4) / 2!) (x-4)^2 + (f'''(4) / 3!) (x-4)^3Here, f(4) = 4 (putting x = 4 in the given function) ,f'(4) = 1 (putting x = 4 in
the first derivative of the function), f''(4) = 0 (putting x = 4 in the second derivative of the function), and f'''(4) = 0 (putting x = 4 in the third derivative of the function).T3(x) = 4 + (1 / 1!) (x-4) + (0 / 2!) (x-4)^2 + (0 / 3!) (x-4)^3T3(x) = 4 + (x-4) = xThe Taylor polynomial t3(x) for the function f centered at the number a is T3(x) = x.
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Joey's piano lesson started at 4:50 p.m. his lesson ended at 5:26 p.m. how long was joey's piano lesson?
Answer:
36 minutes
Step-by-step explanation:
5:26
4:50
4:50 plus what is 5:00? 10 min.
And then you add 26 minutes from 5:26.
which would be 36.
There are 300 butterfly eggs on a leaf. 10 eggs hatch on the first day. the number of eggs that hatch increases by 25 each day. how many days will it take for all the eggs to hatch? explain your answer.
By sum of the nth term of the arithmetic sequence we can say that, it will take total 5 number of days to hatch all the eggs.
Let the number of days taken by butterfly to hatch the eggs be n.
According to the given question.
Total number of butterfly eggs = 300
Number of eggs hatch on first day = 10
The number of eggs that hatch increases by 25 each day.
Therefore,
Number of eggs hatch on second day = 10 + 25 = 35
Number of eggs hatch on third day = 35 + 25 = 60
Number of eggs hatch on fourth day = 60 + 25 = 85
Like that we have arithmetic sequence with a common difference of 25.
10, 35, 60, 85, ...
Here, it is given that the total number of eggs are 300.
Therefore,
300 = (n/2)[2(10) + (n -1)25]
⇒ 600 = n[20 + 25n -25]
⇒ 600 = n[25n -5]
⇒ 600 = 5n[5n - 1]
⇒ 120 = n[5n -1]
⇒ 120 = 5n^2 - n
⇒ 5n^2 - n - 120 = 0
\(n = \frac{1\pm\sqrt{1^{2} -4(5)(120)} }{10}\)
⇒ \(n = \frac{1\pm \sqrt{2401} }{10}\)
⇒ n = 1 ± 49/10
⇒ n = 50/10 0r -48/10 (not possible)
⇒ n = 5
Hence, the total number of days according to arithmetic sequence by the butterfly to hatch the eggs is 5 .
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Jared makes $990 per week at his job. He is asking to have his pay increased by $110 per week. If he gets the pay increase, what will his weekly pay be?
Answer:
$1100 per week
Step-by-step explanation:
Amount made per week = $990
Increase amount per week = $110
Unknown:
What will be his weekly pay per week = ?
Solution:
His weekly pay per week will be = amount made per week + Increase
= $990 + $110
= $1100
He now makes $1100 per week.
Is it the same as the mle if a random sample of 20 mechanics results in 15 correct diagnoses? explain.
The observed proportion of correct diagnoses in a random sample of mechanics is not necessarily the same as the MLE, as the MLE involves a more formal estimation procedure that considers the underlying probability distribution and maximizes the likelihood function based on the observed data.
The Maximum Likelihood Estimation (MLE) and the observed proportion of correct diagnoses in a random sample of mechanics are related concepts but not the same.
The MLE is a statistical method used to estimate the parameters of a probability distribution based on observed data. It seeks to find the parameter values that maximize the likelihood of observing the given data. In the case of a binomial distribution, which could be used to model the number of correct diagnoses, the parameter of interest is the probability of success (correct diagnosis) for each trial (mechanic).
In this context, if we have a random sample of 20 mechanics and observe that 15 of them made correct diagnoses, we can calculate the observed proportion of correct diagnoses as 15/20 = 0.75.
While the observed proportion can be considered an estimate of the underlying probability of success, it is not necessarily the same as the MLE. The MLE would involve maximizing the likelihood function, taking into account the specific assumptions and model chosen to represent the data. The MLE estimate may or may not coincide with the observed proportion, depending on the distributional assumptions and the specific form of the likelihood function.
In summary, the observed proportion of correct diagnoses in a random sample of mechanics is not necessarily the same as the MLE, as the MLE involves a more formal estimation procedure that considers the underlying probability distribution and maximizes the likelihood function based on the observed data.
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if 20% of the people in a small town are voters, and there are 2360 voters, what is the population of the town
The population of the town is 11800, and 20% of the people are voters making 2360 voters.
What is a population?A population is the entire collection of humans, whether that group is a nation or a group of people who share a feature. A population in statistics is the group of people from which a statistical sample is taken for research.
Let x represent the population of the town.
20% of the people in a small town are voters, and there are 2360 voters, hence:
20% of x = 2360
0.2x = 2360
Divide
x = 2360 / 0.2
x = 11800
The population of the town is 11800.
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The population is 11,800 people.
Hope it helps !
write an if statement that assigns 10000 to the variable bonus if the value of the variable goodssold is greater than 500000
The if statement assigns a value of 10000 to the variable "bonus" if the value of the variable "goodssold" exceeds 500000.
To achieve this, we can use an if statement in programming. An if statement allows us to conditionally execute a block of code based on a specified condition. In this case, the condition is whether the value of the variable "goodssold" is greater than 500000. If the condition evaluates to true, the code inside the if statement will be executed, and the variable "bonus" will be assigned a value of 10000.
Here's an example of how the if statement can be written in Python:
if goodssold > 500000:
bonus = 10000
In this code snippet, the variable "goodssold" represents the number of goods sold, and we compare its value to 500000 using the greater than operator (>). If the condition is true, the code inside the if statement is executed, and the variable "bonus" is assigned a value of 10000. If the condition is false, the code inside the if statement is skipped, and the variable "bonus" retains its previous value (if any).
By using this if statement, we can dynamically assign a bonus of 10000 to the variable "bonus" based on the value of the variable "goodssold" being greater than 500000. This allows for flexible and conditional handling of the bonus calculation in the program.
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A researcher studied the relationship between the number of times a certain species of cricket will chirp in one minute and the temperature outside. Her data is expressed in the scatter plot and line of best fit below. Based on the line of best fit, what temperature would it most likely be outside if this same species of cricket were measured to chirp 120 times in one minute?
The expected change in temperature in degree Fahrenheit for each additional cricket chirp in one minute.
Given the relationship between the number of times a certain species of cricket will chirp in one minute and the temperature outside.
Here, we see that the best fit is a linear regression.
On the y- axis temperature in degree Fahrenheit is labeled and on the x axis chirps per minute is labelled.
Since, the slope = Rate of change of y/ Rate of change of x
So, the slope of line represents the expected change in temperature in degree Fahrenheit for each additional cricket chirp in one minute.
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What is the value of x?
1000
+
300
1000
O A 160°
o
B 100°
Ос
800
10
OD
50°
Answer:
x = 50
Step-by-step explanation:
The unknown arc is
360 -30-100-100 =
130
We can find the value of x
Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)
x = 1/2 ( 130 -30)
x = 1/2 (100)
x = 50
Find the average value of the function f(x) = (x + 2) on the interval [0, 3].
The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.
Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.
Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:
= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3
= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]
= (1/3) × [(9/2 + 6) - 0]
= (1/3) × (21/2)
= 7/2
Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.
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Write/Describe a situation when you have to multiply a matrix by another matrix
Answer:
you multiply first row with first column and second with second so it goes
x+y = -6 slope and y intercept
Answer: #x = -6# is a vertical line crossing the x-axis at -6. It does not cross the y-axis at all, so there is no y-intercept. Lines which are vertical are said to have an infinite or undefined gradient. The definition of gradient is #("change in y-values")/("change in x-values")# As there is no change in the x-values the denominator would be 0.
Step-by-step explanation: mark me branliest
The length of life, in hours, of a drill bit in a mechanical operation has a Weibull distribution with a = 2 and B = 50. Find the probability that the bit will fail before 10 hours of usage. The probability is approximately: O 1 O 0 O 0.5 O 0.8
The probability that the bit will fail before 10 hours of usage is:
P(X < 10) = F(10) = 1 - e^(-(10/50)^2) ≈ 0.3935
The Weibull distribution is given by the probability density function:
f(x) = (a/B) * (x/B)^(a-1) * e^(-(x/B)^a)
where a and B are the shape and scale parameters, respectively.
In this case, a = 2 and B = 50. We want to find the probability that the bit will fail before 10 hours of usage, i.e., P(X < 10), where X is the random variable representing the length of life of the drill bit.
Using the cumulative distribution function (CDF) of the Weibull distribution, we have:
F(x) = 1 - e^(-(x/B)^a)
Substituting the values of a and B, we get:
F(x) = 1 - e^(-(x/50)^2)
So the answer is approximately 0.4.
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please help me i really need to do well on this test! show your work :)
Step-by-step explanation:
a point is 0,-2. if you test all the others the equations are not true, so that's the only one that works and makes both equations true.
When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is?
When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.
We need to find the type of correlation when two variables vary along with each other but the data points are loosely scattered around the line of best fit.
What are scatterplots?A scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.
Scatter plot for the positive correlationScatter plot for negative correlationScatter plot for null correlationA weak positive correlation indicates that, although both variables tend to go up in response to one another, the relationship is not very strong. A strong negative correlation, on the other hand, indicates a strong connection between the two variables, but that one goes up whenever the other one goes down.
Therefore, when two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.
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let x1 and x2 be independent random variables. suppose the mean and variance of x1 are 2 and 4, respectively. suppose, the mean and variance of x2 are 3 and 5, respectively. what is the mean and variance of: a. y
Answer:
The mean and variance of a y is 5 and 9 respectively.
Step-by-step explanation:
Let x1 and x2 be independent random variables.
Suppose the mean and variance of x1 are 2 and 4, respectively. Suppose, the mean and variance of x2 are 3 and 5, respectively. We need to find the mean and variance of y.
Mean of y,
The mean of y is given by the sum of the means of x1 and x2.
Mean of y = Mean of x1 + Mean of x2
Mean of y = 2 + 3
Mean of y = 5
Thus, the mean of y is 5.
Variance of y,
The variance of y is given by the sum of the variances of x1 and x2.
Variance of y = Variance of x1 + Variance of x2
Variance of y = 4 + 5
Variance of y = 9
Thus, the variance of y is 9.
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Please help and show work, will give lots of points!
Lourdes is reading a biography for her history class. She reads 30 pages each day. After 9 days, Lourdes has read 3/5 of the biography. Write a linear equation to represent the number of pages Lourdes still has to read after x days.
y = []x + []
(Use above format to write the equation.)
What does the y-intercept of this linear equation represent?
A. Pages already read
B. Pages in book
C. Pages read each day
D. Days to finish
Answer:
The linear equation is y = 450 - 30 x, where y is the number of pages
Lourdes has left to read after x days
Step-by-step explanation:
Each day, Lourdes reads 30 pages of a 450-page book
- We need to write a linear equation to represent the number of pages
Lourdes has left to read after x days
∵ Lourdes reads 30 pages each day
∵ Lourdes will read for x days
∴ The number of pages Lourdes will read in x day = 30 x
- The left pages will be the difference between the total pages of the
book and the pages Lourdes read
∵ The book has 450 pages
∵ Loured will read 30 x in x days
∴ The number of pages left = 450 - 30 x
- Assume that y represents the number of pages Lourdes has left
to read after x days
∴ y = 450 - 30 x
The linear equation is y = 450 - 30 x, where y is the number of
pages Lourdes has left to read after x days
Here is a list of numbers: 9, 7, 19, 2, 5, 6, 5 ,14 ,3 State the median.
Answer:
6
Step-by-step explanation:
Arrange the items in ascending order
2 , 3 , 5 , 5 , 6 , 7 , 9 , 14 , 19
Median = middle term = (n+1)/2 = (9 + 1)/2 = 10/2 = 5th term
= 6
can anyone help please !
Answer:
See pictures below
Step-by-step explanation:
Desmos is a free graphing calculator. Draw the line of the equation and then < will be everything below the line and > will be everything above the line. The portion that is shaded by both colors is the answer.
y = mx + b
The "b" part of the equation tells you the point that the graph crosses the y axis.
The "m" part is the slope. The rise over the run.
Give an equivalent DFA (ii) Give a minimal DFA equivalent to constructed above (iii) Give a regular expression using the above minimal DFA (iv) Give an equivalent grammar represented by the above minimal DFA
An equivalent DFA can be constructed.
A minimal DFA equivalent to the constructed DFA can be obtained.
A regular expression can be derived using the minimal DFA.
An equivalent grammar represented by the minimal DFA can be provided.
To create an equivalent DFA, we can start with the given language or regular expression and use the subset construction algorithm to convert it into a DFA. This algorithm involves creating states that represent the subsets of the original language's states.
Once the DFA is constructed, we can minimize it using algorithms such as the Hopcroft's algorithm or the Moore's algorithm. These algorithms identify equivalent states and merge them to create a minimal DFA. The resulting DFA will have the fewest number of states possible while still accepting the same language.
Using the minimal DFA, we can derive a regular expression that represents the same language. This can be done by applying the Arden's theorem or by using other techniques such as state elimination or state reduction.
An equivalent grammar can be represented by the minimal DFA by using the DFA to guide the construction of production rules. Each state in the DFA corresponds to a non-terminal symbol in the grammar, and the transitions between states represent the production rules. The start state of the DFA corresponds to the start symbol of the grammar, and the accepting states of the DFA correspond to the terminal symbols or productions that generate the desired language.
By performing these steps, we can establish different representations of the given language, including an equivalent DFA, a minimal DFA, a regular expression, and an equivalent grammar.
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NEED HELP!
You are completing a math assessment. The number of questions you complete and the time it takes you to complete them have a proportional relationship, as shown in the table.
Number of Questions 2 5
Time (in minutes) 9 ?
How much time does it take to complete 5 questions?
11 minutes, 30 seconds
22 minutes, 30 seconds
3 minutes
12 minutes
The time taken to complete 5 questions is (option b) 22 minutes, 30 seconds
Given,
The number of questions = 2
Time taken to complete 2 questions = 9 minutes
Now,
The number of questions = 5
We have to find the time taken to complete 5 questions:
We can consider ratio here:
That is,
Number of questions : Time taken to complete
So,
2 : 9 and 5 : x
Lets equate:
2 : 9 = 5 : x
That is,
2x = 5 × 9
Now, divide 2 on both sides:
2x/2 = (5 × 9) / 2
Here,
x = 45/2
Then,
x = 22.5
Converting this into minutes, we get 22 minutes, 30 seconds.
That is,
The time taken to complete 5 questions is (option b) 22 minutes, 30 seconds
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Solutions for y=-x^2-5x+12
Answer: y = -(x+5/2)^2+73/4
Step-by-step explanation:
HURRY!! (52 POINTS!!)
The ages of people visiting a senior center one afternoon are recorded in the line plot.
A line plot titled Ages At Senior Center. The horizontal line is numbered in units of 5 from 60 to 115. There is one dot above 80 and 110. There are two dots above 70 and 85. There are three dots above 75.
Does the data contain an outlier? If so, explain its meaning in this situation.
A. No, there is no outlier. This means that the people were all the same age.
B. No, there is no outlier. This means that the people are all around the mean age.
C. Yes, there is an outlier at 110. This means that one person's age was 110, which is 25 years older than the next closest age.
D. Yes, there is an outlier of 110. This means that the average person at the center is 110 years old.
Answer:
C. Yes, there is an outlier at 110. This means that one person's age was 110, which is 25 years older than the next closest age.
Step-by-step explanation:
An outlier is a data point that sticks out like a sore thumb. It's so different from the rest of the data that it makes you wonder if it's a mistake or a miracle. One way to spot an outlier is to use the 1.5IQR rule, where IQR stands for interquartile range. The interquartile range is the gap between the third quartile (Q3) and the first quartile (Q1) of the data. The 1.5IQR rule says that any data point that is more than 1.5*IQR above Q3 or below Q1 is an outlier.
In this case, the first quartile (Q1) is 75, the third quartile (Q3) is 85, and the interquartile range (IQR) is 10. So, any data point that is more than 1.5*10 = 15 above 85 or below 75 is an outlier. The only data point that does this is 110, which is 25 above 85. That means 110 is an outlier.
What does this outlier mean in this situation? It means that one person who came to the senior center that afternoon was way older than the rest of the folks. The average age of the visitors was not changed by this outlier, since it was just one out of 12 data points. But, the outlier does mess up the range and the standard deviation of the data, making them bigger than they would be without the outlier.
Answer:The answer is C
Step-by-step explanation:I did the test.
Maria esta trabajando en una fabrica de elaboracion de refrescos 8 horas diarias en donde el salario semanal es de $3200 para todos pero por el hecho de ser mujer le han reducido el 10% ¿cuanto dinero recibira maria por esta reduccion indebida
Answer:
Salario reducido= $2.880
Step-by-step explanation:
Dada la siguiente información:
Salario semanal= $3200
Porcentage de reducción= 10%
Para calcular el salario que recibira injustamente María, debemos usar la siguiente formula:
Salario reducido= salario semanal* (1 - porcentage de reducción)
Salario reducido= 3.200*0,9
Salario reducido= $2.880
PLEASE ASAP how do i write the area of the rectangle as a product and as a sum