When the distribution is not symmetrical, the median is typically the preferred measure of central tendency because it is less impacted by outliers and skewed data than the mean.
What is median?The median is the value that divides a population, a sample of data, or a probability distribution into its higher and lower halves. It could be referred to as "the middle" value for a data set.
The fundamental difference between the mean and the median when describing data is that the median is more representative of the "normal" value because it is not skewed by a tiny fraction of exceptionally big or small values.
Due to the fact that income distribution can be very skewed, the median income, for instance, might be a better indicator of what is considered a "normal" income.
In robust statistics, the median is crucial because it is the most resilient statistic with a breakdown point of.
Hence, When the distribution is not symmetrical, the median is typically the preferred measure of central tendency because it is less impacted by outliers and skewed data than the mean.
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Question
Solve for m.
m+1/3<−2 1/4
m>−2 7/12
m<−2 7/12
m<−1 11/12
m>−1 11/12
The expression m < - 2 7/12 solved for m is m < - 2 7/ 12. Option B
What are inequalities?Inequalities are described as a relation which making an unequal comparison between two numbers or expressions.
It is mostly used to compare two numbers on the number line on the basis of their size.
Given the expression;
m+1/3<−2 1/4
Covert to improper fraction
m + 1/ 3 < -9/4
Now, collect like terms
m < - 9/ 4 - 1/3
Find the lowest common multiple
m < -27 - 4 /12
m < -31/ 12
convert to mixed fraction
m < - 2 7/ 12
Hence, the value is m < - 2 7/ 12
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Which system of equation is it
Answer:
the answer is none of the above
Step-by-step explanation:
Examine the graph of the function.
What is the rate of change of the function?
The rate of change of the function is -2.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the function are 3 and 5
The inputs of the function are 1 and 2.
We have,
We will find two points on the graph.
The points on the graph are:
(0, 5), (1, 3), and (2, 1)
We can choose any two points.
(0, 5) and (1, 3)
The rate of change of the function.
= (3 - 5) / (1 - 0)
= -2/1
= -2
Thus,
The rate of change of the function is -2.
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to construct a confidence interval using matched pairs, we must compute the standard deviation of the
We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.
What is the difference between standard deviation and confidence interval?The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.
According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.
Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.
The difference between the values in the matched pairs' standard deviation is calculated.
The complete question is:
To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.
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We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.
What is the difference between standard deviation and confidence interval?
The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.
According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.
Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.
The difference between the values in the matched pairs' standard deviation is calculated
To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.
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If triangle xyz is translated using the rule (x, y) → (x − 3, y − 2) and then reflected across the y-axis to create triangle x″y″z″, what is the location of z″? (−7, 1) (−3, −1) (−1, −3) (3, 3)
The location of the y-axis to create a triangle is a(0,2).
So if the point X is (-3, -2) is translated using the rule
x,y ---> (x+3),(y+4)
then you simply plug-in the values of x and y which are x = -3 and y = -2
x,y ---> ((-3) +3), ((-2) + 4) which is (0, 2)
This is the new coordinate for X
so the answer is a(0,2).
What is a triangle?
A triangle is a polygon with three sides and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is represented as triangle ABC.
In Euclidean geometry, any three points, if not collinear, define a unique triangle and, at the same time, a unique plane (that is, two-dimensional Euclidean space). That is, there is only one plane containing this triangle, and all triangles are contained in one plane. If all geometries were just Euclidean planes, there would be only one plane and all triangles would be in it. But this is not the case in high-dimensional Euclidean space.
Therefore, the location of the y-axis to create triangle is a(0,2).
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Express the formula d=rt in terms of the time,t. Use your formula to find the time when the distance is 40 and the rate is 8.
The expression for d=rt in terms of the time is t = d/r; t = 5.
What is time? Time can be defined as a continuous and ongoing sequence of events that occur consecutively from the past to the present to the future. Time is used to measure, measure or compare the duration of events or the intervals between them, and even the sequence of events. Time is a useful concept that we use in our daily life. We have to watch when we cook, play, study, go to school, meet someone, etc. So knowing the right time is very important. Time is usually the answer to when an event happens or happened. The concept of time determines when a certain event occurs, has occurred or will occur. Time is a measurable quantity and is also infinite. The time is calculated in seconds, minutes, hours, days, months and years.Therefore,
In the equation d=rt
t = d/r
when distance is 40 and the rate is 8
t = d/r
Replace d with 40 and rate with 8
t = 40/8
t = 5
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Find the coordinates of the vertex of the parabola
y²+4y-2x=6
Helppppp, I don’t know what to do, I just really need the answer
The completed statement on the exponential model that fits the data in the question is presented as follows;
The exponential model indicates that the plastic production has a 7.88% growth per year. The model predicts that the production 15 years after 1960 was closest to 30 million metric tons, because the correlation coefficient indicates a strong correlation between the model and the data, this prediction is correct.
What is a correlation coefficient?The correlation coefficient is an indication of the level at which the variables are interdependent.
The table of values in the question can be entered into a spreadsheet application as follows;
In the spreadsheet application, enter Year since 1960 values in a column, and the Plastic Production in an adjacent columnSelect the all the data entered into the spreadsheet document such as MS Excel, then select the Insert tabIn the charts section select scatter plot to create a scatter plot of the dataIn the Design tab, that appears when the chart is selected, select the Add Chart Element button access the Trendline functionSelect the Exponential trendline from the menu for trendlinesThe exponential trendline is then created by the spreadsheet applicationThe equation for the trendline obtained from MS Excel is presented as follows; f(x) = 9.2179·e^(0.0788·x)
The growth rate from the above exponential function is 7·88% per year
The production 15 years after 1960 is therefore;
f(15) = 9.2179·e^(0.0788 × 15) ≈30.06
The number of plastic produced 15 years after 1960 is about 30 million metric tons
The correlation coefficient obtained from MS Excel is R² = 0,9157, which indicates a strong correlation between the data and the model
The prediction is correct based on the strong correlation between the year and the number of plastic produced.
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help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!
Answer:
A
Step-by-step explanation:
Eliminate B and C because they don't pass through (0,1).
Eliminate D because it doesn't decrease quickly enough.
Out of a group of 360 students, exactly 18 are on the track team. What percent of the students are on the track team?
if we take 360 to be the 100%, what's 18 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 360 & 100\\ 18& x \end{array} \implies \cfrac{360}{18}~~=~~\cfrac{100}{x}\implies 20=\cfrac{100}{x} \\\\\\ 20x=100\implies x=\cfrac{100}{20}\implies x=5[/tex]
Which of the following are essential elements of hypothesis testing?
-It uses probability theory to determine if a hypothesis is a reasonable statement.
-It makes use of sample data.
The following are crucial factors in hypothesis testing:
It employs probability theory to evaluate if a hypothesis is a valid claim.It employs sample data.Explain the term hypothesis testing?In statistics, the process of hypothesis testing involves putting an analyst's presumption about a population parameter to the test.
The type of data being used and purpose of the study will determine the methodology the analyst uses. A basic hypothesis can anticipate a causal relationship between variables, i.e., that one has an impact on the other. This is known as hypothesis testing, and it uses sample data to determine the plausibility of a hypothesis.It is a technique for analysis that evaluates presumptions and establishes the likelihood of something based on a predetermined level of accuracy. Testing hypotheses offers a technique to determine whether the outcomes of an investigation are reliable.Thus, before conducting the hypothesis testing, a null hypothesis as well as an alternative hypothesis are established.
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help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!
a. [tex]123.1(1.069)^3 \approx 150.4[/tex]
b. [tex]123.1(1.069)^{20} \approx 467.5[/tex]
14. On the test, Zeke answered 85% of the
questions correctly. If there were 60 problems
on the test, how many did Zeke answer
correctly?
(t/f) if 0 is an eigenvalue of a, then a is invertible.
The matrix cannot be inverted if any eigenvalue is 0, which also means that the determinant is zero. This suggests a linear dependence between the columns of A. As a result, A is not of full rank and is not invertible.
What does "linearly dependent" mean?
A set's ability to have at least one linear combination of its components equal to zero when the coefficients are taken from another provided set and at least one of those coefficients is not equal to zero.
This feature applies to matrices or vectors. adjective that depends on linearity.
What does it mean to be linearly dependent?
A group of non-zero vectors is said to be linearly dependent if at least one of them can be expressed as a linear combination of the others.
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Help me please, I don’t understand this question.
The average rate of change of the function:
f(x) = x^2 + 7x + 9
On the interval [-9, 0] is -2.
How to find the average rate of change?
For any function f(x), we define the average rate of change on an interval [a, b] as:
r = ( f(b) - f(a))/(b - a)
In this case, the function is:
f(x) = x^2 + 7x + 9
And the interval is -9 ≤ x ≤ 0, it can also be written as [-9, 0]
Evaluating the function in the extremes of the interval we get:
f(0) = 0^2 + 7*0 + 9 = 9
f(-9) = (-9)^2 + 7*(-9) + 9 = 27
Then the average rate of change is:
r = ( f(0) - f(9))/( 0 - (-9)) = (9 - 27)/(9) = -18/9 = -2
The average rate of change is -2.
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HELPPP!!!! ASPAPPPP!!! FINALSSS???
An encryption machine uses a formula to encrypt words, by taking each letter and changing it to the letter that is just before it in the alphabet. If the letter is ‘a’, it changes it to ‘z’. If you put the word BATS into the machine, what would the output be?
AZSR
ATSB
ZSRA
SBAT
The output word of BATS into the machine, the output would be AZSR.
What is logical reasoning?
In logical reasoning, premises and the relationships between them are rigorously employed to infer conclusions that are suggested (or contended) by the premises and the relationships. Technology and artificial intelligence philosophy diagnoses various varieties of logical reasoning.
By using reasoning skills to take an unbiased look at any issue, logical questioning aids in reaching a logical conclusion about how to move forward. For instance, if we are having problems at work, we will use the information at our disposal and our logical thinking skills to solve the problem.
Explanation:
If the letter is ‘A’, it changes it to ‘Z’.
like the same way,
‘B’, it changes to ‘A’
‘A’, it changes to ‘Z’
‘T’, it changes to ‘S’
‘S’, it changes to ‘R’
Therefore, The output word of BATS into the machine, the output would be AZSR.
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a publisher reports that 53s% of their readers own a particular make of car. a marketing executive wants to test the claim that the percentage is actually different from the reported percentage. a random sample of 250250 found that 44d% of the readers owned a particular make of car. is there sufficient evidence at the 0.010.01 level to support the executive's claim? step 1 of 7 : state the null and alternative hypotheses.
2. There is not sufficient evidence to support the claim that the average percentage of readers who own a particular make of car is above 53%
What is null and alternative hypothesis??|
The alternative hypothesis of a test expresses your research's prediction of an effect or relationship, whereas the null hypothesis of a test always predicts no effect or no association between variables.
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What is the slope that passes through (1,2) and (2,6)
Answer:
4
Step-by-step explanation:
use slope formula y2-y1/x2-x1
6-2/2-1
4/1
4 is the slope
Hopes this helps please mark brainliest
TRUE/FALSE if a thumb is a finger, then three gloves and three shoes normally hold thirty-five fingers and toes.
Answer: False
(5 x 3) + (5 x 3) = 30
A candidate for office claims that "there is a correlation between television watching and crime."
Criticize this statement on statistical grounds.
The correct option regarding the statement is given as follows:
A. There may be an association, but not a correlation unless the variables are quantitative. There could be a correlation between the average number of hours of TV watched per person and number of crimes committed per year. Even if there is a relationship, one does not cause the other.
What are qualitative and quantitative variables?The variables are classified as qualitative or quantitative as follows:
Qualitative variables assume labels as values.Quantitative variables assume numbers as values.The relevance of the variables according to association and correlation are given as follows:
Qualitative variables can have association.Quantitative variables can have correlation.The variables in this problem are given as follows:
Television watching -> yes/no -> qualitative.Crimes committed -> yes/no -> qualitative.As they are qualitative variables, they can have association, and thus option A is correct.
Missing InformationThe options are given by the image presented at the end of the answer.
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what is a x b when a=7 and b=9
Answer:
89
Step-by-step explanation:
if u divide and multiply theory is equivalent to its nominal answer thus your answer will be 89
One of the brightest stars in the sky is Sirius , which is part of the constellation Canis Major Sirius is 9 light years from the Earth. One light year=5.88 x 10^12 miles. How far, in miles, is Sirius ?
If one of the brightest stars in the sky is Sirius , which is part of the constellation Canis Major Sirius is 9 light years from the Earth. One light year=5.88 x 10^12 miles. The distance is 5.29 x 10^13 miles.
What is distance?Distance can be defined as the length of an object or how far an object is from another object.
Given data:
9 light years
5.88 x 10^12 miles
Now let find the how far, in miles, is Sirius
Distance = 5.88 x 10^ 12 miles× 9 light year
Distance = 52,920,000,000,000
Distance = 5.29 x 10^13 miles
Therefore we can conclude that the distance is 5.29 x 10^13 miles.
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Suppose a designer has a palette of 15 colors to work with, and wants to design a flag with 5 vertical stripes, all of different colors.
How many possible flags can be created?
The number of flags that could possibly be created, given the palette of colors to work with, and the number of stripes, is 360, 360 flags.
How to find the number of flags?The designer has the choice to pick from 15 colors to work with. They will then pick another color, and then another, until they pick five colors to make stripes.
When they pick a single color, the number of choices drops to 14 colors. When they pick 5 colors, they will be left with 11 colors.
The number of possible flags is therefore:
= 15 x 14 x 13 x 12 x 11
= 360, 360 possible flags
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What is the y-intercept, b, of the additive relationship represented by this table?
Enter your answer as an integer in the box.
b = ?
Answer:
3
Step-by-step explanation:
if 2x+5y=180 and 3x+3y=180
what are the x and y values?
Answer:
x=40,y=20
Step-by-step explanation:
a{2x+5y=180
b{3x+3y=180
b-a
x-2y=0
x=2y
substitute:
2×2y+5y=180
9y=180
y=20
substitute:
x=2y
x=2×20
=40
Find x and y values that make both y=−2/3x+3 and y=2x−5 true.
What is the ordered pair for your solution?
The ordered pair is (3, 1) which is the intersecting point of these two equations.
What is the graphical solution of a system of equations?Graphical solutions of a system of equations are a way of finding the intersection points of all the equations given.
A system with two or more than two equations has a solution only when they have a common intersection point.
Given, are two equations y = -(2/3)x + 3 and y = 2x - 5.
Now the solution to this system is the common intersecting point of these equations.
With the help of graphing we conclude that the intersecting point is (3, 1) and so is the solution.
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Simplify the expression. negative 15 plus the quantity negative 3 and seven tenths plus 9 and 15 hundredths end quantity divided by 5 all times 3 squared minus 4 and 7 tenths
Using mathematical operators, the expression [15 + x - 3 7/10 + 9 15/100] ÷ [5x × 3² - 4 7/100] is simplified as [5(20x + 409)] / 4500x - 407
ExpressionAn expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.
In this problem, we have to first of all write out the words and expression in mathematical form. To do this, we have to apply mathematical operators like addition, subtraction, multiplication and division.
This can be rewritten as:-
[15 + x - 3 7/10 + 9 15/100] ÷ [5x × 3² - 4 7/100]
Simplifying this, we have;
[5(20x + 409)] / 4500x - 407
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what algebraic expression represents a number increased by 5
Answer: x+5
Step-by-step explanation:
Because we don't have a number so we call it x. And to increase by 5 just need to +5. So x+5
Each week, Tasha saves 60% of the money she earns babysitting and spends the rest. This week she
earned $60.00
How much more money did she save than spend this week?
a photo has a width to length ratio of 2:3. if the width of the photo is 4.8 cm, the length of the photo is
The length of the photo having a width to length ratio of 2:3 is 6.9 cm.
What is length?Length is the distance between two points.
To calculate the length of the photo, use the formula below.
Formula:
L = W/R............ Equation 1Where:
L = Length of the photoR = Width to length ratio of the photoW = Width of the photo.From the question,
Given:
W = 4.6 mR = 2:3 = 2/3Substitute these values into equation 1
L = 4.6/(2/3)L = 4.6×3/2L = 6.9 cmHence, the length of the photo is 6.9 cm.
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