Categorical variables, such as nominal and ordinal scales, are weaker than continuous variables, such as interval and ratio scales, in terms of the type of information statistics on them yield. Categorical variables only provide limited information and are not as precise as continuous variables. Categorical variables have weaknesses related to limited statistical analysis and potential loss of information, while continuous variables can be sensitive to outliers and require more advanced statistical techniques for analysis. Both types of variables provide valuable information but have limitations when analyzing statistics.
Let's discuss the relative weakness of categorical and continuous variables with respect to the type of information statistics on them yield.
Categorical variables are those that can be divided into categories, and they include nominal and ordinal scales. Nominal variables have no inherent order (e.g., hair color), while ordinal variables have a clear order (e.g., educational level).
Weakness:
1. Limited statistical analysis: Since categorical variables have no numerical value, certain statistical measures, such as mean and standard deviation, cannot be applied to them.
2. Loss of information: Categorical variables can sometimes oversimplify data, leading to a loss of information when grouping continuous data into categories.
Continuous variables are those that can take any value within a defined range, and they include interval and ratio scales. Interval variables have a constant distance between values but no absolute zero (e.g., temperature in Celsius), while ratio variables have a constant distance and an absolute zero (e.g., height).
Weakness:
1. Susceptibility to outliers: Continuous variables are more sensitive to extreme values (outliers), which can significantly affect the statistics derived from them, such as the mean.
2. Data complexity: Continuous variables often require more advanced statistical techniques for analysis, which may be challenging for those without a strong background in statistics.
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(8.1 + 7.9)x – (25 ÷ 5)x
Answer:
8.1 + 7.9 X - 25 ÷ 5
16 X - 5 X
= 11 X
HOPE YOU UNDERSTOOD!
THANK YOU ♡
MARK AS A BRAINLIEST ANSWER!!☆
Answer:
11x
Step-by-step explanation:
(8.1 + 7.9)x – (25 ÷ 5)x = (8.1+7.9)x - 5x
= 16x - 5x
= 11x
Classify the sequence {1, 6, 11, 16, 21, …}.
Answer:
Classify the sequence {1, 6, 11, 16, 21, …}.
The pattern is +5:
1 + 5 = 6
6 + 5 = 11
11 + 5 = 16
16 + 5 = 21
21 + 5 = 26
And so on
Step-by-step explanation:
You're welcome
The statement "P implies Q' is FALSE under which of the following conditions? Choose all that apply. a. P and Q are both true. b. P and Q are both false. c. P is true and Q is false. d. P is false and Q is true.
The statement "P implies Q" is false under the following conditions: a) P is true and Q is false, and d) P is false and Q is true.
The statement "P implies Q" can be expressed as "if P, then Q." It is a conditional statement where P is the antecedent (the condition) and Q is the consequent (the result).
To determine when the statement is false, we need to identify cases where P is true but Q is false, or when P is false but Q is true.
Option a) states that both P and Q are true. In this case, the statement "P implies Q" holds true because if P is true, then Q is true.
Option b) states that both P and Q are false. In this case, the statement "P implies Q" is considered true because the antecedent (P) is false.
Option c) states that P is true and Q is false. Under this condition, the statement "P implies Q" is false because when P is true, but Q is false, the implication does not hold.
Option d) states that P is false and Q is true. In this case, the statement "P implies Q" is true because the antecedent (P) is false.
Therefore, the conditions under which the statement "P implies Q" is false are a) P is true and Q is false, and d) P is false and Q is true.
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If an analysis of variance produces SSbetween treatments = 20 and MSbetween treatments = 10, then the ANOVA is comparing two treatment conditions. True or False?
The given statement is false.
If SS between treatments = 20 and MS between treatments = 10, this means that there are more than two treatment conditions being compared in the ANOVA.
1. SSbetween treatments = 20
2. MSbetween treatments = SSbetween treatments / (k - 1), where k is the number of treatment conditions.
3. In this case, MSbetween treatments = 10
4. Solving for k, we get: 10 = 20 / (k - 1)
5. Rearranging and solving for k, we find that k = 2 + 1, which gives us k = 3.
Since k = 3, there are actually three treatment conditions in the ANOVA, and the statement is false.
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Your Stats teacher tells you your test score was the 3rd quartile for the class. Which is true?
I. You got 75% on the test.
II. Youcan'treallytellwhatthismeanswithoutknowingthestandarddeviation.
III. You can't really tell what this means unless the class distribution is nearly Normal.
Helpp pleasee i added an attachment
The graphs when classified are decay and growth functions
The complete solution is shown below
Classifying the functions by graphA graph that represents an exponential growth would increase as the input value (x) increases, while graphs of exponential decay would decrease with increment in x
This means that:
Graph 5 = DecayGraph 6 = GrowthGraph 7 = DecayClassifying the functions by equationAn exponential function is represented as
y = abˣ
If b > 1, then it is a growth function, otherwise it is a decay function
This means that:
Equation 8: y = 0.1(7)ˣ = GrowthEquation 9: y = 3(0.25)ˣ = DecayEquation 10: y = (3/4)ˣ = DecayEquation 9: y = 1/2(5/3)ˣ = GrowthCompleting the missing blanksFor the equation y = abˣ, we have
Initial value = a
Decay rate (if b < 0) = 1 - b
Growth rate (if b > 0) = b - 1
This means that
Function (12) is unclear
13. f(x) = 11(0.4)ˣ:
Initial value = 11
Decay factor = 0.4
Decay rate = 6%
14. f(x) = (1/4)ˣ:
Initial value = 1
Decay factor = 1/4
Decay rate = 75%
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Composition of functions
Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be
inscribed in the ellipse 5x²+180y²=180.
Let length be the dimension parallel to the x-axis and let width be the dimension parallel to the y-axis.
Length =
Width =
Let’s denote the length and width of the rectangle as x and y, respectively, such that x is parallel to the x-axis and y is parallel to the y-axis.As per the given information, the ellipse’s equation is 5x² + 180y² = 180We need to maximize the area of the rectangle.
Since the area of the rectangle is given by A = xy, we can maximize A using the given equation of the ellipse. Here’s how:Given A = xy, we need to maximize A under the constraint 5x² + 180y² = 180. Using the method of Lagrange multipliers, we have:L(x,y,λ) = xy + λ(5x² + 180y² - 180)Next, we need to take the partial derivative of L with respect to x, y, and λ, and solve for x and y. Here are the steps and solution:∂L/∂x = y + 10λx = 0 ….. (1)∂L/∂y = x + 360λy = 0 ….. (2)∂L/∂λ = 5x² + 180y² - 180 = 0 ….. (3)From equation (1), y = -10λx. Plugging this into equation (2), we get: x + 360λ(-10λx) = 0 => x = 6λFrom equation (3), we have: 5x² + 180y² = 180 => 5(6λ)² + 180(-10λx)² = 180Simplifying, we get λ = 1/12.Substituting λ = 1/12 and x = 6λ, we get:y = -10λx = -5/2Thus, the dimensions of the rectangle with maximum area are length = x = 1/2 and width = y = -5/2.
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Given an ellipse 5x² + 180y² = 180.
We are to find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the given ellipse.
To find the maximum area of a rectangle that can be inscribed in an ellipse, we need to make sure that the axes of the rectangle are parallel to the coordinate axis.
Then, we can proceed to find the two axes of the rectangle.
For the given ellipse, we have 5x² + 180y² = 180.
Dividing by 180 throughout gives:
x²/36 + y²/1 = 1
Comparing with the standard equation of an ellipse gives:
x²/a² + y²/b² = 1a² = 36 ⇒ a = 6b² = 1 ⇒ b = 1
The length of the rectangle = 2a = 2 × 6 = 12 units
The width of the rectangle = 2b = 2 × 1 = 2 units
Therefore,Length = 12 units
Width = 2 units.
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help please!
what does x equal?
Answer:
x=67
Step-by-step explanation:
Hey There!
So the triangles are similar meaning that they have the same angles
so to find x we can just subtract the given angles from 180
180-46-67=67
so we can conclude that x=67
because averages are less variable than individual outcomes what is true
The averages are less variable as compare to the individual outcomes is a true statement as individual value spread in wide range.
The averages are less variable compare to individual values.
It is a true statement.Average is the representation of the sum of all the individuals outcomes divided by number of individuals.Average is quiet near to all the individual values.Range of individual values to individual values is quiet wide compare to average to individual value.Spreading of data is more in individual values.Range of average is less than than individuals outcomes.Therefore, the individual values are more variable than averages is a true statement.
The given question is incomplete, I answer the question in general according to my knowledge:
Averages are less variable than individual outcomes is a true statement ? Give reason?
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6. Antonio's Pizzaria charges $10 for a large pizza, plus $1.50 for each additional topping.
Answer:
Cost: $11.50, $13, $14.50, $16, $17.50
Step-by-step explanation:
the pizza's 10 + 1.50x
its always 10 plus the price of the toppings
(x is the amount of toppings)
Rewrite 1.18 as a fraction in lowest terms.
1 18/100
1 5/9
1 10/18
1 9/50
Answer:
1 9/50
Step-by-step explanation:
1.18 = 1 18/100
1 18/100 = 1 9/50
The fourth answer is correct.
Hope this helps!
which of the following is not a common characteristic of binomial andgeometric experiments?
The absence of a fixed number of trials is the characteristic that is not common to both binomial and geometric experiments.
Binomial and geometric experiments are both types of probability experiments commonly encountered in statistics. They share several characteristics, such as independent trials and outcomes with two possible outcomes (success or failure). However, one characteristic that distinguishes them is the fixed number of trials.
In a binomial experiment, the number of trials is fixed and known in advance. Each trial is independent and has two possible outcomes. For example, flipping a coin 10 times or rolling a die 20 times are examples of binomial experiments where the number of trials is predetermined. On the other hand, in a geometric experiment, the number of trials is not fixed. The experiment continues until the first success occurs. Each trial is independent and has two possible outcomes. For instance, flipping a coin until getting the first heads or rolling a die until getting a 6 are examples of geometric experiments where the number of trials is uncertain.
While binomial experiments have a fixed number of trials, geometric experiments do not. This distinction makes the fixed number of trials a characteristic specific to binomial experiments and not common to geometric experiments.
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PLEASE HELP! I WILL MAKE YOU BRAINLIST!
Answer: I think it is C
Step-by-step explanation: 32/4=8 so 1 cm = 8km
A linear function has an x-intercept of 8 and a y-intercept of 4 . which of these is an equation of the linear function?
The linear function is y = (-1/2)x + 4.
What is a linear function?
A linear function whose graph is a straight line and which is represented by an equation of the form y = ax + b where a and b are constants, a does not equal zero, and x is any real number.
Here, we have
Given,
A linear function has an x-intercept of 8 and a y-intercept of 4.
So, The two points on the line are (8, 0) and (0, 4).
Now, slope(m) = (4 - 0)/(0 - 8).
slope(m) = -4/8.
slope(m) = -1/2.
As it has a y-intercept of 4 it is the value of b, In y = mx + b.
Hence, the linear function is y = (-1/2)x + 4.
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cuánto le falta a 3/7 para llegar a 3 enteros?
occurs when the effects of two or more explanatory variables are not separated. therefore, any relation that may exist between an explanatory variable and the response variable may be due to some other variable not accounted for in the study.
The complete statement would be, confounding in a study occurs when the effects of two or more explanatory variables are not separated. Therefore, any relation that may exist between an explanatory variable and the response variable may be due to some other variable or variables not accounted for in the study.
We know that an extraneous variable is a variable that has the potential to affect the results and it is not a independent variable.
A confounding variable is nothing but a type of extraneous variable which is related to a study’s independent and dependent variables.
These variables (confounding variables) are also known as confounders or confounding factors.
Any variable must follow following conditions to be a confounding variable:
1) A variable must be correlated with the independent variable.
2) It must be related to the dependent variable.
Thus, confounding occurs when the effects of two or more explanatory variables are not separated. therefore, any relation that may exist between an explanatory variable and the response variable may be due to some other variable not accounted for in the study.
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The complete question is:
__________ in a study occurs when the effects of two or more explanatory variables are not separated. Therefore, any relation that may exist between an explanatory variable and the response variable may be due to some other variable or variables not accounted for in the study.
Select the equation in slope-intercept form for the line through points (-4,6) and (0,10) and is perpendicular to the line described by y = -x + 2.
A. y=-x -4
B. y=x-10
C. y=x+4
D. y=x+10
Answer:
A I'm pretty sure
Step-by-step explanation:
hope that helps .-.
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
\(y = \stackrel{\stackrel{m}{\downarrow }}{-1}x+2\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)
now, we know that our line is perpendicular to that one, thus
\(\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-1\implies \cfrac{-1}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-1}\implies 1}}\)
so we're really looking for the equation of a line that has a slope of 1 and runs through (0 , 10)
\((\stackrel{x_1}{0}~,~\stackrel{y_1}{10})\qquad \qquad \stackrel{slope}{m}\implies 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{1}(x-\stackrel{x_1}{0}) \\\\\\ y-10=x\implies y=x+10\)
How are conclusions and recommendations drawn in a study? In your response, 1.1 relate to the findings 1.2 Relate to the literature review 미 [2] [3]
Conclusions and recommendations are significant aspects of a research study that are typically drawn from the findings and literature review.
Conclusions and recommendations are significant components of a research study.
The findings and literature review serve as critical sources in developing conclusions and recommendations.
Let's examine the process of drawing conclusions and recommendations in a research study.
Relating conclusions to the findingsThe conclusion is a final interpretation of the study's results based on the findings.
The findings section should demonstrate the variables under analysis, whether hypotheses were accepted or rejected, and any significant results obtained.
It should emphasize the implications of the findings in light of the study's original purpose or research questions.
A well-written conclusion should also provide any explanations for findings that weren't anticipated and why they are crucial.
A summary of the key points and a brief discussion of how the study contributes to the knowledge base and the research field are two other components of an effective conclusion.
Relating recommendations to the literature reviewRecommendations are the actions that researchers suggest based on the study's findings.
The researcher should tie the recommendation to the literature review in the study's final section.
The review of related literature provides the context for the study and the literature gaps that the study aims to address.
A well-written recommendation should make explicit the specific actions that stakeholders should take to apply the study's findings.
The researcher must also describe the potential benefits of implementing the recommendations and the rationale for the recommended actions.
To summarize, conclusions and recommendations are significant aspects of a research study that are typically drawn from the findings and literature review.
The researcher should provide a comprehensive summary of the study's outcomes and implications in the conclusion section.
Recommendations should be closely related to the literature review and describe the appropriate actions that stakeholders should take to apply the findings of the study.
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private nonprofit four-year colleges charge, on average, $26,640 per year in tuition and fees. the standard deviation is $6,617. assume the distribution is normal. let x be the cost for a randomly selected college.
Using the given average cost, standard deviation, and assuming a normal distribution, we can determine the probability that the cost for a randomly selected college is more than a certain value.
The average cost of tuition and fees at private nonprofit four-year colleges is $26,640 per year, with a standard deviation of $6,617. Assuming a normal distribution, let x represent the cost for a randomly selected college.
To find the probability that x is more than a certain value, we can use the Z-score formula: Z = (x - mean) / standard deviation.
To find the probability that x is more than a certain value, we can use the Z-score formula: Z = (x - mean) / standard deviation.
Let's say we want to find the probability that x is more than $30,000.
Z = (30000 - 26640) / 6617
Z = 0.051
Using a Z-table or calculator, we can find the corresponding probability to be approximately 0.4801. This means that there is a 48.01% chance that the cost for a randomly selected college is more than $30,000.
In conclusion, using the given average cost, standard deviation, and assuming a normal distribution, we can determine the probability that the cost for a randomly selected college is more than a certain value.
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Describe how you would find the missing numbers in the equation below. What is the missing numerator and denominator? 3/? x ?/4 = 9/20
(BRAINLIEST ON THE LINE}
hope this will help u
thanku
Step-by-step explanation:
Start with the ?/4 <====has to be less than 1/2 (which is 2/4 )
so this becomes 1/4
then we have
3/? + 1/4 = 9/20
3/? = 4/20
3/? = 1/5
3 / (1/5) = ? =15
so 3/15 + 1/4 = 9/20
according to dr rick malone the best source of data for making inferences as to how dangerous persons of interest actually are may be
According to Dr. Rick Malone, the best source of data for making inferences as to how dangerous persons of interest actually are may be a combination of various sources. These sources could include the person's criminal history, mental health records, and other indicators such as previous acts of violence or threats made towards others.
It is important to gather as much information as possible before making any conclusions about an individual's level of danger.
In addition to these sources, Dr. Malone also emphasizes the importance of utilizing technology and artificial intelligence to aid in the assessment process. This could involve using algorithms to analyze social media activity or other online behavior that may be indicative of potential danger.
It is crucial to approach the process of assessing an individual's level of danger with caution and to recognize that no single factor should be used to make a definitive determination. Rather, a comprehensive approach that takes into account a multitude of factors is necessary in order to accurately assess the potential risk posed by a person of interest. By utilizing a combination of sources and incorporating technological advancements, it is possible to gather a more complete picture of an individual's behavior and make informed decisions about how best to manage any potential threats.
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how to determine the end behavior of a rational function
By analyzing the degrees and leading coefficients, you can determine how the rational function behaves at the extreme ends of the x-axis.
To determine the end behavior of a rational function, you need to examine the degrees of the numerator and denominator polynomials. The end behavior refers to how the function behaves as the input (x-values) approaches positive or negative infinity.
Here are the steps to determine the end behavior of a rational function:
1. Identify the highest power of x in the numerator and denominator. Let's call them n and m, respectively.
2. If n < m, the degree of the denominator is greater than the numerator. In this case, the function's end behavior is determined by the degree of the denominator.
- If m is even, the function approaches the horizontal axis (y = 0) as x approaches both positive and negative infinity.
- If m is odd, the function approaches opposite infinities: positive infinity as x approaches negative infinity and negative infinity as x approaches positive infinity.
3. If n = m, the degree of the numerator is equal to the denominator. In this case, the leading coefficients of the numerator and denominator determine the end behavior.
- The function approaches the ratio of the leading coefficients as x approaches both positive and negative infinity.
4. If n > m, the degree of the numerator is greater than the denominator. In this case, the function's end behavior is determined by the degree of the numerator.
- If n is even, the function approaches positive infinity as x approaches both positive and negative infinity.
- If n is odd, the function approaches opposite infinities: positive infinity as x approaches positive infinity and negative infinity as x approaches negative infinity.
By analyzing the degrees and leading coefficients, you can determine how the rational function behaves at the extreme ends of the x-axis.
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Which of the following equations, where t represents time in days, and represents length in centimeters,
could be descriptions of the growth of a bamboo plant?
Choose all answers that apply:
A
L=1.1t
B
L = 2.5t
C
L = 7.1t
D
L = 9.3t
A tree farm has begun to harvest a section of trees that was planted a number of years ago. the table shows the number of trees remaining for each of 8 years of harvesting.
a) find the regression equation for the relationship between time and trees remaining. (round values for a and b to two decimal places.)
b) the owners of the farm intend to stop harvesting when only 1000 trees remain. during which year will this occur?
The owners of the farm will stop harvesting when only 1000 trees remain during the fifth year of harvesting.
a) To get the regression equation for the relationship between time and trees remaining, we need to use linear regression. We can use the data given in the table to create a scatterplot and then find the line of best fit. Using a calculator or Excel, we can find that the regression equation is:
Trees remaining = 1177.38 - 36.25(time)
where "Trees remaining" is the number of trees remaining and "time" is the number of years since harvesting began.
b) To find during which year the owners of the farm will stop harvesting when only 1000 trees remain, we can substitute "1000" for "Trees remaining" in the regression equation and solve for "time":
1000 = 1177.38 - 36.25(time)
Solving for "time", we get:
time = (1177.38 - 1000) / 36.25
time ≈ 4.89 years
Therefore, the owners of the farm will stop harvesting when only 1000 trees remain during the fifth year of harvesting.
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A rectangle has a length of 64 cm. The rectangle is reduced by a scale factor of 3/4. What is the length of the reduced rectangle?
Answer:
48 cm
Step-by-step explanation:
64 divided by 4 is 16. multiply 16 by 3 and the answer is 48.
Find the two x-values that are solutions to the absolute value equationbelow. *[5 - 2x] – 11 = 0
Given the definition of absolute value:
\(\begin{gathered} |a|=\begin{cases}a,a\ge0 \\ -a,a<0\end{cases} \\ \end{gathered}\)in this case we have the following:
\(|5-2x|-11=0\)we will have two cases from this equation.
The first case is when 5-2x>=0, then we have the following:
\(\begin{gathered} 5-2x-11=0 \\ \Rightarrow-2x-6=0 \\ \Rightarrow-2x=6 \\ \Rightarrow x=\frac{6}{-2}=-3 \\ x=-3 \end{gathered}\)next, we will consider the cas when 5-2x < 0, then we would have the following:
\(\begin{gathered} -(5-2x)-11=0 \\ \Rightarrow-5+2x-11=0 \\ \Rightarrow2x-16=0 \\ \Rightarrow2x=16 \\ \Rightarrow x=\frac{16}{2}=8 \\ x=8 \end{gathered}\)therefore, the two x-values that are solutions to the equation are x=-3 and x=8
Ahh help, I need this question due in 10 mins-
PLS HELP WILL MARK BRAINEST
Answer:
Step-by-step explanation:
Answer is choice A
Both functions are decreasing at a rate of -2. You can find this by finding the slope.
Jonathan needed to get his computer fixed. He took it to the repair store. The
technician at the store worked on the computer for 3 hours and charged him
$141 for parts. The total was $336. Write and solve an equation which can be
used to determine x, the cost of the labor per hour.
Answer:
\(141 + 3x = 336\)
\(3x = 195\)
\(x = 65\)
So the cost of labor is $65 per hour.