In probability theory, an event is any collection of outcomes or results from a probability experiment. option a) is correct event
It represents a particular occurrence or set of occurrences that we are interested in studying or analyzing. A sample space (option b) is the set of all possible outcomes in a probability experiment. An outcome (option c) is a particular result of a single trial of a probability experiment. An experiment (option d) refers to the process of conducting a trial or series of trials to observe the outcomes and collect data for analysis in probability theory. Therefore, the correct answer is option a) event.
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Complete Question
A(n) _______ is any collection of outcomes from a probability experiment.
a) event
b) sample space
c) outcome
d) experiment
To summarize, an outcome is a result of an experiment, a sample space is a collection of all possible outcomes, an event is a set of outcomes chosen from the sample space, and a collection is a group of events with a common property.
An experiment in probability refers to a process of observing or measuring some phenomenon, where the outcomes are uncertain. The collection of all possible outcomes from this experiment is known as the sample space. An outcome is a particular result that occurs as a result of the experiment.
Now, a set of outcomes chosen from the sample space is known as an event. An event can be as simple as a single outcome or as complex as a combination of outcomes. For example, flipping a coin and getting heads is a simple event, while flipping a coin and getting heads or rolling a dice and getting an even number is a compound event.
Finally, a collection of events is simply a group of events that share a common characteristic or property. In probability, we use collections of events to determine the likelihood of certain outcomes occurring. This allows us to make predictions about the experiment based on the available data.
So, to summarize, an outcome is a result of an experiment, a sample space is a collection of all possible outcomes, an event is a set of outcomes chosen from the sample space, and a collection is a group of events with a common property.
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a(n) ? is a shorthand method for writing a mathematical rule.a. equal sign (=)b. equationc. formulad. math problem
The equation is a shorthand method for writing a mathematical rule.
The answer to your question is b.equation. An equation is a shorthand method for writing a mathematical rule. It represents a relationship between two or more variables using mathematical symbols and operations. Equations are commonly used in algebra, calculus, and other areas of mathematics to solve problems and make predictions. They are written using an equal sign (=) to show that the expression on the left is equal to the expression on the right. Equations are an important tool in mathematics because they allow us to express complex ideas in a concise and precise way. By using equations, we can simplify calculations and solve problems more efficiently.
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A rental car company charges $62.47 per day to rent a car and $0.09 for every mile driven. Ariana wants to rent a car, knowing that:
She plans to drive 100 miles.
She has at most $320 to spend.
What is the maximum number of days that Ariana can rent the car while staying within her budget?
Answer:
only 11 days
Step-by-step explanation:
Find the length of, x, of the third side of the triangle.
Answer:
i do not know either so please help me because this is not my level
Answer:
8=x
Step-by-step explanation:
can u give me a 5 star plz ty :)
Can someone PLEASE help, it is URGENT. Make the answer clear. I'll give the brainliest or something, I just really need help. I think the brainliest will give 100 points.
The price of fuel may increase due to demand and decrease due to overproduction. Marco is studying the change in the price of two types of fuel, A and B, over time.
The price f(x), in dollars, of fuel A after x months is represented by the function below:
f(x) = 2.96(1.04)x
Part A: Is the price of fuel A increasing or decreasing and by what percentage per month? Justify your answer. (5 points)
Part B: The table below shows the price g(m), in dollars, of fuel B after m months:
Which type of fuel recorded a greater percentage change in price over the previous month? Justify your answer
Using the percentages we know that the price of the fule increased year was 5.6%.
What are percentages?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics.
If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means.
The letter "%" stands for it.
Calculating 50% of 40%, for instance, yields (50/100) x (40/100) = 0.50 x 0.40 = 0.20, which equals 20/100 or 20%. NOTE: Using the percent sign and a division by 100 at the same time is improper.
So, observing the chart we know that the price of fuel is increasing.
Now, calculate the percentage of increasing the price as follows:
1st year:
= 3.04/3.22 * 100
= 94.40
Percentage increase: 100 - 94.40 = 5.6%
2nd year:
= 3.22/3.41 * 100
= 94.42
Percentage increase = 100 - 94.42 = 5.6%
3rd year:
= 3.41/3.61 * 100
= 94.45
Percentage increase = 100 - 94.45 = 5.5%
Rounding the percentage increase: 5.6%
Therefore, using the percentages we know that the price of the fule increased year was 5.6%.
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Correct question:
Can someone PLEASE help, it is URGENT. Make the answer clear. I'll give the brainiest or something, I just really need help. I think the brainliest will give 100 points.
The price of fuel may increase due to demand and decrease due to overproduction. Marco is studying the change in the price of two types of fuel, A and B, over time.
The price f(x), in dollars, of fuel A after x months is represented by the function below:
f(x) = 2.96(1.04)x
Part A: Is the price of fuel A increasing or decreasing and by what percentage per month? Justify your answer. (5 points)
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
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.
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28/x-2=4
SHOW YOUR WORK
Answer:
Step-by-step explanation:
28/x-2=4
Add 2 to both sides
28/x = 6
Multiply both sides by x
28 = 6x
Divide each side by 6
4.67 = x
Answer:
Step-by-step explanation:
Five numbers are in the ratio 1:2:3:4:5. the sum of the numbers is 90. work out thhe range of the numbers
Answer:
6, 12, 18, 24, 30
Step-by-step explanation:
1+2+3+4+5 = 15
90 divided by 15 is 6
6x1 = 6
6x1 = 12
6x1 = 18
6x1 = 24
6x1 = 30
The range of the numbers is 24.
What is Range?The range is the difference between the highest value and the lowest value of the data. It helps in knowing the spread of the data.
Range = Highest Value - Lowest Value.
Here, Let the five numbers be x , 2x, 3x, 4x, and 5x
Sum of numbers = 90
Now, x + 2x + 3x + 4x + 5x = 90
15x = 90
x = 90 / 15
x = 6
So, the numbers are 6, 12, 18, 24, 30
Range = Highest Value - Lowest Value
Range = 30 - 6 = 24
Thus, The range of the numbers is 24.
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14. Given that Y = 2x - 3 Complete the table X Y 2 -2 0 4 7
Answer:
Y = 1
Y = -7
Y = -3
Y = 5
Y = 11
Step-by-step explanation:
substitute each value of x in x of Y =2x - 3
For example:-
x = 2
Equation = Y = 2x -3
Therefore, replacing x with 2
Y = 2(2) -3....
Y = 4 - 3
Y = 1
If you do this same method for others, you will get the right answer.......
x = -2
Equation = Y = 2x -3
Therefore, replacing x with 2
Y = 2(-2) -3....
Y = -4 - 3
Y = -7
....and so on
10.) A study recorded the reactions of 186 polar
bears as they were approached by a tundra
buggy. Some bears did not appear to respond,
while others responded by sitting, standing,
walking away, or running away. There were 94
more bears that did not respond than did
respond. How many bears responded and how
many bears did not respond?
the answer is 94 bears reponded and 92 did not II thnk
a patient is admitted to the hospital because of vomiting that has lasted 3 days despite minimal intake and severe abdominal distention and pain. which intervention should the nurse perform first?
In this case, the nurse should perform a complete physical exam to determine the cause of the patient’s symptoms. The nurse should also assess the patient's vital signs, including heart rate, blood pressure, and temperature.
Once the assessment is completed, the nurse should immediately initiate fluid resuscitation to prevent dehydration and hypovolemic shock. The nurse should also administer pain medication as ordered and elevate the head of the bed to relieve abdominal distention.In this case, the patient is exhibiting symptoms of dehydration, including vomiting and minimal intake, which may result in hypovolemic shock. The patient is also experiencing severe abdominal distention and pain, which may indicate a gastrointestinal obstruction or perforation. These symptoms can be life-threatening and require immediate intervention by the nurse. Therefore, the nurse should perform a complete physical examination to determine the cause of the patient's symptoms. This examination should include a detailed abdominal assessment, such as auscultation for bowel sounds, palpation for tenderness and rigidity, and percussion for the presence of ascites. The nurse should also assess the patient's vital signs, including heart rate, blood pressure, and temperature. The nurse should also monitor the patient's urine output to ensure adequate fluid replacement and to detect any signs of renal failure. The nurse should administer pain medication as ordered and elevate the head of the bed to relieve abdominal distention.
In conclusion, the nurse should perform a complete physical exam to determine the cause of the patient’s symptoms. The nurse should also assess the patient's vital signs, including heart rate, blood pressure, and temperature. Once the assessment is completed, the nurse should immediately initiate fluid resuscitation to prevent dehydration and hypovolemic shock. The nurse should also administer pain medication as ordered and elevate the head of the bed to relieve abdominal distention.
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Help I’m stuck on a question
Answer:
3rd one
Step-by-step explanation:
Han has 410000 in a retirement account that earns 15785 each year. Find the simplest interest
Han's retirement account earns $247,163.25 in simple interest.
To find the simplest interest, we need to use the formula:
Simple Interest = Principal × Rate × Time
In this case, the Principal is $410,000 and the Rate is $15,785 per year. We don't know the time period, but we can solve for it using the formula:
Time = Simple Interest ÷ (Principal × Rate)
Plugging in the values, we get:
Time = $15,785 ÷ ($410,000 × 1) = 0.0385 years
Therefore, the simplest interest is:
Simple Interest = $410,000 × $15,785 × 0.0385 = $247,163.25
So Han's retirement account earns $247,163.25 in simple interest.
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Solve for x in the rectangle below.
hi why are yall so rude?
Answer:
what?
Step-by-step explanation:
Answer:
I didnt think I was rude???/ XDDDD
Step-by-step explanation:
After obtaining two heads from two tosses of a coin, the probability of obtaining a head on the next toss is __________.
O 2/5
O 3/16
O 1/2
O 2/3
The probability of obtaining a head on the next toss of a coin after obtaining two heads from two tosses is still 1/2 or 50%.
This is because each coin toss is an independent event, and the outcome of one toss does not affect the outcome of another toss. Therefore, the fact that two heads have been obtained in the previous two tosses does not change the probability of obtaining a head on the next toss, which is always 1/2 or 0.5 for a fair coin.
What is probability?Probability is the likelihood of an event occurring. The values are between 0 and 1. The closer it is to 1, the greater the probability.
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A fair coin is tossed 5 times. Calculate the probability that (a) five heads are obtained (b) four heads are obtained (c) one head is obtained A fair die is thrown eight times. Calculate the probability that (a) a 6 occurs six times (b) a 6 never happens (c) an odd number of 6s is thrown.
To calculate the probabilities, we need to use the concept of binomial probability.
For a fair coin being tossed 5 times:
(a) Probability of getting five heads:
The probability of getting a head in a single toss is 1/2.
Since each toss is independent, we multiply the probabilities together.
P(Head) = 1/2
P(Tails) = 1/2
P(Five Heads) = P(Head) * P(Head) * P(Head) * P(Head) * P(Head) = \((1/2)^5\) = 1/32 ≈ 0.03125
So, the probability of obtaining five heads is approximately 0.03125 or 3.125%.
(b) Probability of getting four heads:
There are five possible positions for the four heads.
P(Four Heads) = (5C4) * P(Head) * P(Head) * P(Head) * P(Head) * P(Tails) = 5 * \((1/2)^4\) * (1/2) = 5/32 ≈ 0.15625
So, the probability of obtaining four heads is approximately 0.15625 or 15.625%.
(c) Probability of getting one head:
There are five possible positions for the one head.
P(One Head) = (5C1) * P(Head) * P(Tails) * P(Tails) * P(Tails) * P(Tails) = 5 * (1/2) * \((1/2)^4\) = 5/32 ≈ 0.15625
So, the probability of obtaining one head is approximately 0.15625 or 15.625%.
For a fair die being thrown eight times:
(a) Probability of a 6 occurring six times:
The probability of rolling a 6 on a fair die is 1/6.
Since each roll is independent, we multiply the probabilities together.
P(6) = 1/6
P(Not 6) = 1 - P(6) = 5/6
P(Six 6s) = P(6) * P(6) * P(6) * P(6) * P(6) * P(6) * P(Not 6) * P(Not 6) = \((1/6)^6 * (5/6)^2\) ≈ 0.000021433
So, the probability of rolling a 6 six times is approximately 0.000021433 or 0.0021433%.
(b) Probability of a 6 never happening:
P(No 6) = P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) = \((5/6)^8\) ≈ 0.23256
So, the probability of not rolling a 6 at all is approximately 0.23256 or 23.256%.
(c) Probability of an odd number of 6s:
To have an odd number of 6s, we can either have 1, 3, 5, or 7 6s.
P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)
\(P(One 6) = (8C1) * P(6) * P(Not 6)^7 = 8 * (1/6) * (5/6)^7P(Three 6s) = (8C3) * P(6)^3 * P(Not 6)^5 = 56 * (1/6)^3 * (5/6)^5P(Five 6s) = (8C5) * P(6)^5 * P(Not 6)^3 = 56 * (1/6)^5 * (5/6)^3P(Seven 6s) = (8C7) * P(6)^7 * P(Not 6) = 8 * (1/6)^7 * (5/6)\)
P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)
Calculate each term and sum them up to find the final probability.
After performing the calculations, we find that P(Odd 6s) is approximately 0.28806 or 28.806%.
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double exponential smoothing is a(n) method. multiple choice question. subtractive multiplicative divisive additive
The double exponential smoothing is an additive method. It is used to model trend and level components for the univariate times series data. So, option(d) is right one.
Additive relationships mean that you add the same number to any value of x to get the corresponding value of y, and are written as y = x + a. The basic idea behind double exponential smoothing is to introduce a term that accounts for the possibility that the series exhibits some form of trend. This slope component updates itself using exponential smoothing. ) is the trend smoothing factor. Double exponential smoothing is generally greater reliable for handling data that represents the trends compared to the single procedure. Double exponential smoothing with a linear trend. It therefore follows an additive trend (Holt's linear trend model). Therefore, option (d) is the correct choice.
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Complete question :
double exponential smoothing is a(n) method. multiple choice question.
a)subtractive
b)multiplicative
c)divisive
d)additive
a new sample of employed adults is chosen. find the probability that less than 15% of the individuals in this sample hold multiple jobs is About 12% of employed adults in the United States held multiple job is
The probability that less than 15% of the individuals in a sample of size 1000 hold multiple jobs is approximately 0.0418 or 4.18%.
To solve this problem, we need to use the binomial distribution formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where X is the number of individuals who hold multiple jobs in a sample of size n, p is the probability that an individual in the population holds multiple jobs (0.12), and (n choose k) is the binomial coefficient.
The probability that less than 15% of the individuals hold multiple jobs is equivalent to the probability that X is less than 0.15n:
P(X < 0.15n) = P(X ≤ ⌊0.15n⌋)
where ⌊0.15n⌋ is the greatest integer less than or equal to 0.15n.
Substituting the values we have:
P(X ≤ ⌊0.15n⌋) = ∑(k=0 to ⌊0.15n⌋) (n choose k) * p^k * (1-p)^(n-k)
We can use a calculator or software to compute this sum. Alternatively, we can use the normal approximation to the binomial distribution if n is large and p is not too close to 0 or 1.
Assuming n is sufficiently large and using the normal approximation, we can approximate the binomial distribution with a normal distribution with mean μ = np and standard deviation σ = sqrt(np(1-p)). Then we can use the standard normal distribution to calculate the probability:
P(X ≤ ⌊0.15n⌋) ≈ Φ((⌊0.15n⌋+0.5 - μ)/σ)
where Φ is the cumulative distribution function of the standard normal distribution.
For example, if n = 1000, then μ = 120, σ = 10.9545, and
P(X ≤ ⌊0.15n⌋) ≈ Φ((⌊0.15*1000⌋+0.5 - 120)/10.9545) = Φ(-1.732) = 0.0418
Therefore, the probability that less than 15% of the individuals in a sample of size 1000 hold multiple jobs is approximately 0.0418 or 4.18%.
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what is the order of processes that support the central dogma?
The order of processes that support the central dogma are:1.DNA replication: the process by which DNA makes a copy of itself.
2.Transcription: the process by which RNA is synthesized from a DNA template.
3.Translation: the process by which proteins are synthesized from RNA templates.
The central dogma of molecular biology describes the flow of genetic information within a biological system. The method by which DNA instructions are translated into useful products is known as the "Central Dogma." Francis Crick, who discovered the structure of DNA, first put up the idea in 1958.
The order of processes that support the central dogma are:
1.DNA replication: the process by which DNA makes a copy of itself.
2.Transcription: the process by which RNA is synthesized from a DNA template.
3.Translation: the process by which proteins are synthesized from RNA templates.
In summary, the central dogma can be described as follows: DNA is replicated to make more DNA, DNA is transcribed into RNA, and RNA is translated into proteins.
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the verticals of a triangle are a(8, -24), b(8, -8), and c(16, -8). of the triangle is dilated by a scale factor of 1/4 what will be the coordinates of b?
To dilate the triangle by a scale factor of 1/4, we need to multiply the coordinates of each vertex by the scale factor. So the coordinates of point B after the dilation are (2, -2).
Let's first find the original coordinates of point B, which is (8, -8).
To dilate this point by a scale factor of 1/4, we need to multiply both the x-coordinate and the y-coordinate by 1/4:
New x-coordinate of B = 8 × 1/4 = 2
New y-coordinate of B = -8 × 1/4 = -2
Therefore, the coordinates of point B after the dilation are (2, -2).
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CAN SOMEONE HELP ME
Which algebraic representation matches the reflection above?
OA. (x, y) = (x, y)
OB. (x, y) (-x, y)
Answer:
it should be number A hope that helps
You read 5 chapters of a book in 2 and 1/2 hours. How many chapters can you read in 1 hour?
Answer:
2.2 chapters per hr
Step-by-step explanation:
5/2.3=2.17
Answer: 2 chapters
Step-by-step explanation:
You'll have to find the rate, so divide 5/1= 5 (this is how many times it's multiplied by) and divide 2 1/2 by 5
2.5 ÷ 5 = 0.5 = 1/2 of an hour
It takes you half an hour to read 1 chapter and since you need to find one hour, multiply 1x2
You can read 2 chapters in an hour
1. Consider the figure below.
Determine the measure of each interior angle of A MAN and classify the
triangle.
Answer:
A triangle sums to 180 x-48+2x-164+x= 1804x-212=180x= 90m<A= 16m<M=90m<N= 52 Right Triangle Give brainlist I do exams and quizzes39.- En la siguiente figura calcula el valor de "x" y "y".
Ав" CD
6o°
Az
18x-2y
9x+y
A) X = 5, y = 15
B) x = 15, y = 5
C) x = 30, y = 60
D) x = 60, y = 30
Answer:
A) X = 5, y = 15
Step-by-step explanation:
De la figura:
∠EHD = ∠EGB (los ángulos correspondientes son iguales). Por lo tanto;
18x-2y = 60 (1)
Además, ∠CHF = ∠EHD (los ángulos opuestos serticales son iguales). Por eso;
18x-2y = 9x + y
18x-9x-2y-y = 0
9x-3y = 0 (2)
Para resolver x e y, resolvemos la ecuación (1) y (2) simultáneamente.
Multiplique la ecuación (2) por 2 y reste de la ecuación (1):
4 años = 60
y = 15
Pon y = 15 en la ecuación (2):
9x-3 (15) = 0
9x-45 = 0
9x = 45
x = 5
jeff and chad decide to flip a coin 3 times to see who pays for lunch. chad picks heads and he must get heads at least twice out of 3 flips to win and have jeff pay for his lunch. what is the probability chad gets at least 2 heads on 3 flips?
The probability that chad gets at least 2 heads on 3 flips is 1/2 which was found using the sample space.
How does probability explain work?Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.Given: To decide who will pay for lunch, Jeff and Chad decide to flip a coin three times. Chad chooses heads, and in order to win and have Jeff pay for his lunch, he must get heads at least twice out of three times.
Let,
H = Heads
T = Tails
Sample space = {HHH, HTH,THH,TTH, HHT, HTT,THT,TTT}
Total number of possible outcomes = 8
Probability that chad gets at least 2 heads is given as:
P(A)=P(getting two heads)+P(getting 3 heads)
= 3/8 + 1/8
= 4/8
= 1/2
Therefore, the probability chad gets at least 2 heads on 3 flips is 1/2 which was found using the sample space.
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You depoit $120 in an invetment account that earn 6. 4% annual interet compounded quarterly. Write a function that repreent the balance y (in dollar) of the invetment account after t year
A function that represents the balance y (in dollars) of the investment account after t year is y = $120 × (1 + 0.064/4)^(4t).
The balance of an investment account is the sum of all deposits and withdrawals to/from an investment account, considering the manager's compensation calculation.
After the trading interval ends and compensation is paid out, the account balance will equal the equity.
Let y be the investment account balance (in dollars) after t years. Then,
y = $120 × (1 + 0.064/4)^(4t)
Where the interest rate is 6.4% and is compounded quarterly.
So the interest rate per quarter is 0.064/4.
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Relationships between two categorical variables are less evident when the data is expressed in counts rather than percentages. True or False
The statement "Relationships between two categorical variables are less evident when the data is expressed in counts rather than percentages" is false. Categorical variables are those that divide a population into groups. These groups can be classified into one of two categories: nominal or ordinal. The nominal category does not have an intrinsic order, whereas the ordinal category does.
Categorical data is a data type that is collected from observations that are grouped into categories with numerical figures. These variables are frequently defined in nominal terms. The data is expressed in percentages or proportions in a categorical data table instead of counts. When analyzing categorical data, it is best to use percentages, as these provide a better picture of the underlying relationship.
Therefore, relationships between two categorical variables are more evident when data is expressed in percentages rather than counts. When percentages are utilized, it is more straightforward to understand the relationship between two categorical variables. An example of categorical data is the top 150 movies of all time.
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DUCK is a rectangle. Solve:
X=
UDK=
For the rectangle, the value x will be 14 and angle UDK will be 35°.
What exactly is a rectangle?
A rectangle is a four-sided polygon with four right angles (90-degree angles). It has opposite sides that are equal in length and parallel to each other. The rectangle is a special case of a parallelogram, where the opposite sides are also parallel. The two sides that are equal in length are called the "width" or "short side", while the other two sides are called the "length" or "long side". The area of a rectangle is found by multiplying its length by its width, while its perimeter is found by adding the lengths of all four sides.
Now,
As we know all angles of a triangle are 90°.
then 5x-15+2x+7=90
7x=98
x=14
and in triangle UDK
sum of all angles = 180°
∠UDK+90+5x-15=180
∠UDK=180-145
∠UDK=35°
Hence,
the value x will be 14 and angle UDK will be 35°.
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PLEASE ANSWER MEEEEEE PLEASEEEE
Answer:
77/36 = 2.14 (rounded)
Step-by-step explanation:
how many questions left??
XD Hope it helps
2 x
— = -----
7 x + 10
x = ???
9514 1404 393
Answer:
x = 4
Step-by-step explanation:
Maybe you want to find x such that ...
2/7 = x/(x +10)
2(x +10) = 7x . . . . . . multiply by 7(x+10)
20 = 5x . . . . . . . . . . subtract 2x, simplify
4 = x . . . . . . . . . . . . divide by 5
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Additional comment
You can almost solve this "by inspection" if you recognize the difference of the denominator and numerator is 5 on the left and 10 on the right. If you multiply the fraction on the left by 2/2, you get 4/14, the values in x/(x+10) in the fraction on the right.