is the point below which a specified percentage of the observations fall.
In mathematics, the point below which a specified percentage of the observations fall is commonly referred to as the percentile.
A percentile is a measure that indicates the relative position of a particular value within a dataset.
For example, if a value is at the 80th percentile, it means that 80% of the observations in the dataset are below that value, and only 20% of the observations are above it.
Percentiles are often used to analyze and understand the distribution of data, especially in fields such as statistics, probability, and data analysis. They provide insights into how individual data points compare to the overall dataset and help identify outliers or extreme values.
A percentile is a statistical measure that indicates the relative standing of a particular value within a dataset. It represents the point below which a specified percentage of the observations or data points fall. Percentiles are primarily used to understand the distribution of data and analyze how individual values compare to the overall dataset.
To calculate a percentile, the dataset is arranged in ascending order, from the smallest value to the largest value. The position of a specific percentile is then determined based on the percentage of data points below it. For example, the 75th percentile represents the value below which 75% of the data points fall.
Percentiles are commonly used in various fields, including statistics, probability, and data analysis. They provide valuable insights into the spread, variability, and distribution of data. Here are a few key points to consider:
1. Median: The median is the 50th percentile, representing the value that divides the dataset into two equal halves. It is a measure of central tendency and provides information about the middle point of the distribution.
2. Quartiles: Quartiles divide the dataset into four equal parts. The first quartile, or the 25th percentile (Q1), represents the value below which 25% of the data points fall. The third quartile, or the 75th percentile (Q3), represents the value below which 75% of the data points fall. The difference between Q3 and Q1 is known as the interquartile range (IQR) and provides insights into the spread of the middle 50% of the data.
3. Percentile Ranks: Percentile ranks indicate the percentage of data points that are below a specific value. For example, if a student scores in the 80th percentile on a standardized test, it means they performed better than 80% of the test-takers.
4. Outliers: Percentiles can be useful in identifying outliers, which are data points that significantly deviate from the rest of the dataset. Extremely high or low percentiles may indicate unusual or extreme values that warrant further investigation.
5. Normal Distribution: In a normal distribution, the 50th percentile (median) coincides with the mean and mode, and specific percentiles have known standard deviations from the mean (e.g., the 68-95-99.7 rule).
Percentiles are versatile tools for summarizing and analyzing data, providing valuable insights into the distribution and relative positions of individual values. They enable comparisons and help make informed decisions based on the characteristics of a dataset.
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a context level data flow diagram includes many detailed processes representing the computer programs within the system.true or false?
The claim that "a context level data flow diagram includes many detailed processes representing the computer programmes within the system" is false.
A context level data flow diagram (DFD) is a particular kind of diagram that shows how various system components interact with one another. The main objective of building a DFD is to visually depict the data flow and system activities.
The highest-level diagram that shows the system's overall operation without going into specifics about particular processes or data stores is a context level DFD, also referred to as a Level 0 DFD.
The statement that "a context level data flow diagram includes many detailed processes representing the computer programmes within the system" is untrue. This is so because the context level DFD reflects the total functionality of the system.
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For its 28th anniversary, an Uncles Game store is offering a 28% discount on all board games. What is the discounted cost of the game that regularly costs $32. 50?
Answer: $23.40
Step-by-step explanation:
We will find what percent of the normal cost the items are currently.
100% - 28% = 72%
Now, we will find 72% of $32.50
72% -> 0.72
$32. 0 * 0.72 = $23.40
The discounted cost is $23.40.
please help with question below
Answer:
a
Step-by-step explanation:
\( \cos(53 ) = \frac{x}{15} = = = > \\ 0.6 = \frac{x}{15} = = = > \\ x = 9\)
suppose that a certain college class contains students. of these, are juniors, are chemistry majors, and are neither. a student is selected at random from the class. (a) what is the probability that the student is both a junior and a chemistry major? (b) given that the student selected is a junior, what is the probability that she is also a chemistry major?
The answer will be .25 and .25 for both set of question. using probablity.
What is Probability ?
Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities.
Total number of students =1-juniors+chemistry+neither+both
(a) For both a junior and chemistry major =1/4 =. 25
(b) probability that she is also a chemistry major will be 1/4 =. 25
Hence The answer for the above two set of qustion will be .25 and .25.
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simplify ..... 12x^2 / 9x^2y show work please
Answer:
4/3y
Step-by-step explanation:
Given the expression 12x^2 / 9x^2y
12x^2 / 9x^2y
= (3*4)* x * x/(3*3)*x*x*y
= 4x^2/3x^2y
= 4/3y
hence the simplified form is 4/3y
I ACCIDENTALLY MESSED UP WITH THE PICS BUT THIS IS THE LAST QUESTION!
Answer:
2x
Step-by-step explanation: given (0,0) and (1,2)
y=mx+b
0=(m*0)+b
0=b (remember anything times 0, is 0)
2=(m*1)+0
2=M+0
y=mx+b
y=2x+0
whose musical instrument costs more, felipe's or samantha? Explain you will be brainliest
The cost of a musical instrument depends on the type, size, and features of the instrument. To determine whose instrument costs more, we must consider the type, size, and features of each instrument.
The cost of a musical instrument depends on a variety of factors such as the brand, type, size, and materials used in its construction. To determine which instrument costs more, we must first consider the type of instrument each person is purchasing. For example, if Felipe is purchasing a violin and Samantha is purchasing a trumpet, the violin would typically cost more since it requires a higher level of craftsmanship and materials. The size of the instrument can also affect the cost, as larger instruments require additional materials and labor to construct. We can also consider any additional features each instrument may have, such as a case or additional accessories, as these can increase the cost. Ultimately, to determine whose instrument costs more, we must consider the type, size, and features of each instrument.
Therefore, we must consider the type, size, and features of each instrument.
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1. Solve for x. Show your solution and justify every step.
Equation. Justification
4(x - 3) + 5 = 17. Given
Given:
The equation is
\(4(x-3)+5=17\)
To find:
The solution of given equation.
Solution:
We have,
\(4(x-3)+5=17\)
Using distributive property, we get
\(4(x)+4(-3)+5=17\)
\(4x-12+5=17\)
\(4x-7=17\)
Adding 7 on both sides, we get
\(4x-7+7=17+7\)
\(4x=24\)
Divide both sides by 4.
\(x=\dfrac{24}{4}\)
\(x=6\)
Therefore, the value of x is 6.
(3x5x7) (1/3 + 1/5 -1/7)
Answer:
41
Step-by-step explanation:
(3*5*7)((1)/(3) +( 1)/(5) -(1)/(7))
When you simplify this, the answer is 41.
Answer: 41
Step-by-step explanation:
Find the value of 1.69x4.41
Which relation in the below table(s) represents a function?
The relation 2 represents a function.
In order to determine which relation in the below table represents a function, we need to first understand what a function is.A function is a relationship in which each input value corresponds to exactly one output value.
To put it another way, each x-value has one and only one y-value. The most typical method to determine whether a relation is a function is to use the vertical line test.
The vertical line test is a way to determine if a relation is a function graphically. To test if a graph is a function, we draw a vertical line through each x-value on the graph. If a vertical line crosses the graph more than once, it is not a function.
If, on the other hand, the graph passes the vertical line test and no vertical line crosses the graph more than once, it is a function.Now let's look at the table below to determine which relation is a function.
We will first plot the x and y values of each relation on a coordinate system and then apply the vertical line test to each relation.
Relation 1: x | y0 | 10 | 11 | 22 | 23 | 34 | 35 | 4Relation 1 does not represent a function since we can draw a vertical line through x = 3 and the line will cross the graph more than once.
Relation 2: x | y2 | 33 | 34 | 45 | 46 | 57 | 5Relation 2 represents a function since we can draw a vertical line through each x-value on the graph and it will only cross the graph once.
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Here is an equation.
y = 3x + 5
a) When x = 10, what is the value of y?
b) When x = -10, what is the value of y?
Answer:
a) y = 35b) y = -25Step-by-step explanation:
Given equation,
→ y = 3x + 5
The value of y when x is 10,
→ y = 3x + 5
→ y = 3(10) + 5
→ y = 30 + 5
→ [ y = 35 ]
The value of y when x is -10,
→ y = 3x + 5
→ y = 3(-10) + 5
→ y = (-30) + 5
→ [ y = -25 ]
So, these are the values of y.
determine which of the following (if any) regarding multicollinearity are true. i. we can calculate the amount of collinearity by using the vif. ii. if some predictor variables in the model are highly correlated with each other, this will generally have no impact on the model. iii. when an f test is significant, but none of the t tests are significant, we can rule out multicollinearity as the cause.
The first statement is true, while the second and third statements are false. Multicollinearity can impact the model and can lead to misleading results, even if some predictor variables are highly correlated with each other. Additionally, the significance of F-test alone cannot rule out the possibility of multicollinearity.
i. The first statement is true. The Variance Inflation Factor (VIF) can be used to measure the amount of collinearity in the model. VIF is a measure of the amount of correlation between a predictor variable and the other predictor variables in the model. Higher VIF values indicate higher levels of collinearity. Typically, a VIF value greater than 10 indicates a problematic level of collinearity.
ii. The second statement is false. If some predictor variables in the model are highly correlated with each other, it can lead to multicollinearity, which can impact the model's results. Multicollinearity can make it difficult to interpret the individual effect of each predictor variable on the outcome variable, and it can also increase the standard errors of the regression coefficients. This can result in reduced statistical power, decreased predictive accuracy, and misleading results.
iii. The third statement is also false. A significant F-test indicates that at least one of the predictor variables in the model is related to the outcome variable, but it does not rule out the possibility of multicollinearity. If none of the t-tests are significant, it could be due to a lack of statistical power or the presence of multicollinearity, which can make it difficult to detect the individual effects of each predictor variable.
To test for multicollinearity, one can examine the VIF values or use other diagnostic tests, such as the condition number or tolerance values. If multicollinearity is detected, one can consider removing one of the highly correlated predictor variables or using techniques like regularization to address it.
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Find the minimum value of
C=x+3y
Answer:
DNE
Step-by-step explanation:
If x and y may be any real number, there is no minimum value for C. It can approach negative infinity.
If C is a constant, and the domain of x is all real numbers, there is no minimum for y. It can approach negative infinity.
We're not sure what you want or what restrictions may exist. The given relation does not suggest any minimum. We'd have to say it Does Not Exist
Hello there,
Use the first constraint to isolate y :
\(9x+2y\geq 35\)
\(y \geq \frac{35-9x}{2}\)
Now use the second one to isolate x :
\(x+3y\geq 14\)
\(x\geq 14-3y\)
You know that \(x\geq 0\) and \(y\geq 0\)
So what's the minimum value of x it's 0 ! Same for y !
So substitute x by 0 and y by 0
\(y\geq \frac{35}{2} =17.5\)
\(x\geq 14\)
So the minimum value of C is :
\(C=14+3*17.5\)
\(\boxed{C=66.5}\)
Hope it helps !
Photon
please help, i will give brainliest! please also explain how you got the answer!
Answer: 7.59
Step-by-step explanation: I added all of the miles he traveled up together. ( don't overthink questions like this)
9.
The pair of figures is similar. Find x. Round to the nearest tenth if necessary.
A. 0.9 ft
B. 4.5 ft
C. 0.1 ft
D. 4 ft
the answer is 4.5 ft
Step-by-step explanation:
Step-by-step explanation:
Given that the two fugures in the question above are similar, it means they have the same shape, even though they are if different sizes, the ratio of their corresponding sides are proportional. Thus,
18/x = 8/2
Let's solve for x as required.
We have,
18/x = 8/2
=>Cross multiply:
18 × 2 = 8 × x
36 = 8x
=>Divide both sides by 8
36/8 = x
4.5 = x
x = 4.5 ft
The centre of the circle is (3,a) and a point on the circumference is (6,-1). if the radius of the circle is 3 units , find the value of a
Answer: -1
Step-by-step explanation:
Solve for x: 2 over 10 equals 3 over quantity x minus 9 9 10 16 24
The value of x is 24
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
2/10 = 3/(x-9)
Do cross multiplication
2(x-9) = 10*3 = 30
2x-18=30
2x=30+18=48
x=48/2=24
So, the value of x is 24
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The price of a toy is around £50 and it increased by £65, what percentage did it increase
Answer:
130%
Step-by-step explanation:
65/50 = 1.3
1.3x100 = 130%
somebody helpppp plzz
Answer:
2
Step-by-step explanation:
-2^2=4
4*1/2=2
david has real 18 pages more than 1/4 pages of a book. write an expressions to represents the p pages david has read.
The expression to represent the p pages David has read is: p = 18 + (1/4)x, where x is the total number of pages in the book.
David has read 18 pages more than 1/4 pages of a book. The expression to represent the p pages that David has read would be: p = 18 + (1/4)x, where x is the total number of pages in the book. The reasoning behind this is as follows:
David has already read 18 pages more than 1/4 of the book, so we have to add 18 pages to whatever the pages of the book are. Since we don't know what the actual number of pages are, we'll call that x. Therefore, David read 1/4 of the book (or 1/4 of x) plus 18 pages.
Hence, the expression is: p = 18 + (1/4)x.
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Malik bought chargers that are shaped like regular octagons. If the chargers have the dimensions shown below, what is the area of one charger? 6-7th grade study island. looking for an answer. HELP!!
The area of one charger is given as follows:
164 squared inches.
How to obtain the area of a charger?From the image given at the end of the answer, the composition of the charger is given as follows:
One square of side length of 6 inches.Four rectangles of dimensions 6 inches and 4 inches.Four right rectangles with two sides with lengths 4 inches.The area of a square of side length s is given as follows:
As = s².
The area of a rectangle of length l and width w is given as follows:
Ar = l x w.
The area of a right triangles of side lengths a and b is given as follows:
At = 0.5 x a x b.
Hence the total area of the charger in this problem is calculated as follows:
Ac = 6² + 4 x 4 x 6 + 4 x 0.5 x 4 x 4
Ac = 164 squared inches.
Missing InformationThe dimensions of a charger are given by the image shown at the end of the answer.
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What is the unreasonable ineffectiveness of mathematics in the natural sciences?
The unreasonable ineffectiveness of mathematics in the natural sciences is a phrase coined by physicist Eugene Wigner in his famous 1960 essay of the same name. Wigner observed that mathematics, despite being an incredibly powerful and precise tool, often fails to fully capture or explain certain phenomena in the natural sciences.
He noted that while mathematical models can provide valuable insights and predictions, they often fall short of fully describing complex physical systems.
Wigner argued that this was an unexpected and mysterious aspect of the relationship between mathematics and the natural sciences. He suggested that perhaps the universe operates in a way that is fundamentally beyond our mathematical comprehension, or that we have yet to discover the correct mathematical language to describe it.
Despite this, Wigner acknowledged that mathematics has still been an incredibly successful and indispensable tool in the natural sciences, allowing us to make tremendous advances in fields such as physics, chemistry, and biology.
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A 6.1-mile section of a road had six crashes last year. The two-way AADT was 755 vehicles per day. What was the crash rate on the road last year?
Thus, the crash rate on the road last year was 21.8 crashes per million vehicles.
To calculate the crash rate on the road last year, we need to use the formula:
Crash Rate = (Number of Crashes / Exposure) x 1,000,000
Where exposure is the measure of traffic volume and can be represented by the two-way Average Annual Daily Traffic (AADT) in this case.
The given two-way AADT for the road section is 755 vehicles per day.
To convert this to total annual traffic volume, we need to multiply it by 365 days:
Total Annual Traffic Volume = 755 vehicles/day x 365 days/year = 275,575 vehicles/year
Now we can calculate the crash rate:
Crash Rate = (6 crashes / 275,575 vehicles) x 1,000,000 = 21.8 crashes per million vehicles
Therefore, the crash rate on the road last year was 21.8 crashes per million vehicles. This means that for every million vehicles that traveled on this road section, there were 21.8 crashes. It's important to note that crash rates are useful measures of safety because they account for exposure to risk, which is influenced by traffic volume.
A higher traffic volume means more exposure to risk, so the crash rate provides a fair comparison of safety between different roads.
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focus groups of 12 people are randomly selected to discuss products of the yummy company. it is determined that the mean number (per group) who recognize the yummy brand name is 9.3, and the standard deviation is 0.99. would it be unusual to randomly select 12 people and find that fewer than 5 recognize the yummy brand name?
To determine if it would be unusual to randomly select 12 people and find that fewer than 5 recognize the Yummy brand name, we can use the concept of standard deviation and z-scores.
First, we need to calculate the z-score, which measures how many standard deviations an observation is from the mean. The formula for calculating the z-score is:
z = (x - μ) / σ
where
x is the observed value (in this case, 5)μ is the mean (9.3)σ is the standard deviation (0.99)Calculating the z-score:z = (5 - 9.3) / 0.99
z = -4.394
Next, we can consult a standard normal distribution table or use statistical software to find the corresponding percentile associated with the z-score. This percentile represents the probability of randomly selecting a group of 12 people with fewer than 5 recognizing the Yummy brand name.
In this case, the z-score of -4.394 corresponds to an extremely low percentile, close to 0.
The exact probability can be determined using the z-score and the standard normal distribution table.
Since the probability is extremely low, it would be considered unusual to randomly select 12 people and find that fewer than 5 recognize the Yummy brand name.
However, it's important to note that the definition of "unusual" may vary depending on the specific criteria or threshold chosen.
In statistical terms, a common threshold for defining unusual events is a significance level of 5% (or 0.05). If the probability of observing the event is lower than the significance level, it is considered unusual.
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what is limit definition of a derivative?
The limit definition of a derivative is a mathematical method used to calculate the instant rate of change of a characteristic at a particular point. it is based at the idea of the limit of a function because the input techniques a certain cost.
The limit definition of a derivative is expressed as follows:
\(f'(x) = lim (h → 0) [f(x + h) - f(x)] /h\)
Wherein f'(x) represents the derivative of the function f(x) at a particular factor x. The expression \(( f(x + h) - f(x)) / h\) represents the common price of alternate of the characteristic over a small interval of size h, focused at x. The limit of this expression as h approaches 0 represents the instant fee of change of the characteristic at x, or the slope of the tangent line to the function at that factor.
The limit definition of a derivative is a fundamental concept in calculus and is used to calculate the slopes of tangent lines, to find maximum and minimum factors, and to clear up optimization issues in a huge variety of packages.
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find the probability of the following hand at poker. what is the probability of being dealt 4, 5, 6, 7, and 8, not necessarily in the same suit?
The probability of being dealt 4, 5, 6, 7, and 8, not necessarily in the same suit is 0.00039.
The cards 4,5,6,7, and 8 are given to us. We must figure out the probability of obtaining these cards in a deal. As we already know, probability equals the number of possible card selection methods divided by the total number of possible card selection methods. The amount of card selection options will therefore be determined initially.
We know that there are four cards of each number, 4, 5, 6, 7 and 8, in a deck of 52 cards. This means that there will be an equal number of possibilities to choose one card from the decks of 4, 5, 6, 7 and 8 when raised to the power of five.
Possible ways= 4^5= 1024
Total selection= C(52,5)= 2598960
Probability of being dealt with 4, 5, 6, 7, and 8 is 1024/2598960 which is equal to 0.00039.
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i need help. how do you do this?
Answer:
option 3 or c same thing
Step-by-step explanation:
OMG I just did this here
An inclined plane makes an angle of theta with the horizontal.