Mean of country A is $29600 and median $29000. Mean of country B is $49800 and median is $29000. Country B has greater income inequality. So option B is the correct answer.
Mean of incomes in country A = (9000+ 21000+ 29000 + 39000+ 50000)/5 = $29600
Median income of country A = (5+1)/2 th term = 3rd term = $29000
Mean to median ratio = 29600/ 26000= 1.02
Mean income of country B = ( 9000+ 21000+ 29000+ 39000+ 151000)/5 = $ 49800
Median income = (n+1)/2 th term = (5+1)/2 = 3rd term = 29000
Mean to median ratio of country B = 49800/29000 = 1.71
Since mean and median are closer to each other, standard deviation is less. The mean to median ratio is greater for country B. So country B has greater income inequality.
If the income inequality has been increasing, then the mean-median ratio will increase, due to the extreme values, mean will increase. So option B is the correct answer.
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A random sample of 12 four-year-old red pine trees was selected and the diameter (in inches) of each tree's main stem was measured.
The resulting observations are as follows: 11.3, 10.7, 12.4, 15.2, 10.1, 12.1, 16.2, 10.5, 11.4, 11.0, 10.7, and 12.0
Find the point estimate that can be used to estimate the true population mean.
s = 3.24
X= 11.97
X= 1.73
S = 14.02
The point estimate that can be used to estimate the true mean population is 11.97 inches.
To find the point estimate that can be used to estimate the true population mean, we need to take the sample mean of the given observations. The formula for the sample mean is:
Mod(X)= (Σx) / n
where Mod(X) is the sample mean, Σx is the sum of all the observations, and n is the size.
Using the given observations, we can calculate the sample mean as follows:
Mod(X) = (11.3 + 10.7 + 12.4 + 15.2 + 10.1 + 12.1 + 16.2 + 10.5 + 11.4 + 11.0 + 10.7 + 12.0) / 12
Mod(X) = 11.97
Therefore, the point estimate that can be used to estimate the true mean population is 11.97 inches.
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A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 30 times, and the man is asked to predict the outcome in advance. He gets 22 out of 30 correct. What is the probability that he would have done at least this well if he had no ESP?
The probability that he would have done at least this well if he had no ESP is approximately 2.4%. This can be calculated by determining the probability of getting 22 or more of 30 coin flips correct by chance, which is 0.024.
The probability of getting 23 or more of 30 coin flips correct by chance is 0.0048. The probability of getting 24 or more of 30 coin flips correct by chance is 0.0008. The probability of getting 25 or more of 30 coin flips correct by chance is 0.00012. The probability of getting 26 or more of 30 coin flips correct by chance is 0.000016. The probability of getting 27 or more of 30 coin flips correct by chance is 0.000002. The probability of getting 28 or more of 30 coin flips correct by chance is 0.00000003. The probability of getting 29 or more of 30 coin flips correct by chance is 0.000000004. The probability of getting 30 of 30 coin flips correct by chance is 0.00000000003.
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You take out a fire insurance policy on your home. The annual premium is $300. In case of fire, the insurance company will pay you $100,000. The probability of a house fire in your
area is 0.0002. What can the company expect to earn?
$300 is expected to be paid to the insurance company each month for coverage.
What is insurance?Insurance is a means of protection from financial loss in which, in exchange for a fee, a party agrees to compensate another party in the event of a certain loss, damage, or injury. It is a form of risk management, primarily used to hedge against the risk of a contingent or uncertain loss.
here, we have,
Deductible is the set amount that one pays himself at the time of claiming insurance. Like here, if $500 is deductible, that means when the person will claim the insurance, he himself will pay $500 ,and the rest insured amount will be paid by the company.
So, here $300 is the monthly premium and $500 deductible is the one time set amount that does not have to be paid monthly.
Hence, $300 is the correct answer.
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Answer: 279.94
Step-by-step explanation:
Expected value =
(0.0002)(-100,000) + (0.9998) (300)
1-.0002 = 0.9998
= .279.94
which is the most widespread use of the f distribution? a. to construct confidence intervals by summing the squares of random variables b. to compensate for error in the estimated standard deviation for small sample sizes c. to model discrete data when the population size is small compared to the sample size d. to test for equality of variances from two normal populations
The most widespread use of the f - distribution is to test for equality of variances from two normal populations.
What is f - distribution?In probability theory and statistics, the Fisher - Snedecor distribution is a continuous probability distribution that arises frequently as the null distribution of a test statistic, most notably in the analysis of variance and other F-tests
Given is the f - distribution.
The f - distribution is commonly used in hypothesis testing and analysis of variance (ANOVA). In hypothesis testing, the f - distribution is often used to compare the variability of two population samples or to determine whether two population variances are equal.
Therefore, the most widespread use of the f - distribution is to test for equality of variances from two normal populations.
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It is assumed that approximately 15% of adults in the U.S. are left-handed. Consider the probability that among 100 adults selected in the U.S., there are at least 30 who are left-handed. Given that the adults surveyed were selected without replacement, can the probability be found by using the binomial probability formula with x counting the number who are left-handed? Who or why not?A. no; since np<5, the normal distribution should not be usedB. As the probability of success increases, the probability distribution for a binomial variable becomes bell shaped.C. Yes, because the 100 adults represent less than 5% of the U.S. adult population, the trials can be treated as independent.D. No, because the probability of smoking is different for people who earn over $75,000 per year, the events are not independent.
The correct answer is A. no; since np<5, the normal distribution should not be used. This is because np<5, which violates the condition for using the normal distribution approximation to the binomial distribution. In this case, np=15 which is less than 5, and therefore, the binomial distribution should be used. If np is greater than or equal to 5, a normal approximation to the binomial distribution can be used.
The binomial distribution can be used to model the probability of a certain number of successes in a fixed number of independent trials, where the probability of success in each trial is the same. However, if the number of trials is large and the probability of success is small, the binomial distribution can be approximated by a normal distribution.
In this case, we have
n = 100 trials and p = 0.15
probability of success in each trial.
Therefore, np = 15, which is less than 5. According to the rule of thumb, if np < 5 or n(1-p) < 5, the normal distribution approximation is not valid, and the binomial distribution should be used.
Since the probability of success is small (0.15), and the number of trials is relatively large (100), we could use a normal approximation to the binomial distribution. However, since np < 5, we cannot use the binomial probability formula directly. Instead, we would need to use a continuity correction and the standard normal distribution to estimate the probability. Therefore, option A is the correct answer.
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4 The 2018 population of Chicago, Illinois, was 2,720,546 people. The 2018
population of Austin, Texas, was about 900,000 people. How many times
greater was the population of Chicago than Austin? Show your work.
Answer:
3 times greater
Step-by-step explanation:
To find out how many times greater the population of Chicago is than Austin, we can divide the population of Chicago by the population of Austin:
Population of Chicago / Population of Austin = 2,720,546 / 900,000
Simplifying the expression by dividing both the numerator and denominator by 100,000, we get:
Population of Chicago / Population of Austin = 27.20546 / 9
Dividing these numbers, we get:
Population of Chicago / Population of Austin = 3.022838
Therefore, the population of Chicago is about 3 times greater than the population of Austin.
Need answers fast❗️
Answer: 22 degrees !
Step-by-step explanation: angle ABD is a right, 90 degree angle. angle ABC is a 68 degree angle. CBD is left, so you would do 90-68 to find it, which equals 22 :)
Find the length of the missing side
Answer: The missing side is 8
Step-by-step explanation: I hope this helps!
zeros at the end of a number are not significant if the number contains a decimal point
-6 (t minus 12) equals -6
Answer:
t = 13
Step-by-step explanation:
Solve for t
[tex]-6(t-12)=-6[/tex]
Simplify
[tex]-6(t+-12)=-6[/tex]
Distribute -6
[tex]-6t+72=-6[/tex]
Subtract 72 on both sides
[tex]-6t=-78[/tex]
Divide by -6
[tex]t=13[/tex]
[square] is a number that can be divided exactly by six.
When it is divided by five, four is the number left over.
Which of these could [square] stand for?
PLSS I NEED THIS NOW
The number [square] can divided exactly by six. and when [square] is divided by five, four is the number left over is:
12, 42, 72 o 102
Which of these could [square] stand for?The number [square] can be represented as 6x, where x is any positive integer, since it can be divided exactly by six. When [square] is divided by five, four is the number left over. Therefore, we can write the equation:
6x = 5y + 4
Where y is any positive integer. We can rearrange the equation to solve for x:
6x - 4 = 5y
2x - 2 = (5/3)y
2x - 2 = (5/3)(3x/5)
2x - 2 = (15/15)x
2x - 2 = x
x = 2
Therefore, the smallest possible value for [square] is 6(2) = 12. The next smallest possible value for [square] would be 6(2 + 5) = 42, since adding multiples of 5 to x will still satisfy the equation. The possible values for [square] are 12, 42, 72, 102, etc.
The possible values for [square] that are listed in the question are not provided, but the correct answer will be one of the numbers listed above.
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Benny the tiger, eats 12.5 pounds of meat per day. Each pound of meat costs $3.10. Jasmine prefers hay and alfalfa. She eats 200 pounds a day.Which animal cost more to feed each day? Show how you know
Answer:
Benny the tiger costs more to feed each day because he eats 12.5 pounds of meat per day, which costs $38.75 ($3.10 x 12.5). Jasmine eats 200 pounds of hay and alfalfa, which costs $0.00, since hay and alfalfa are not typically purchased with money. Therefore, Benny the tiger costs more to feed each day.
how to convert 4m to cm?
As per the unit conversion process, 4 meters is equal to 400 centimeters.
Unit conversion is a process of changing a given value from one unit of measurement to another. For example, converting meters to centimeters, or grams to kilograms. This skill is essential in science, engineering, and everyday life. In this article, we will learn how to convert 4 meters to centimeters.
First, we need to know the conversion factor between meters and centimeters. Since there are 100 centimeters in one meter, the conversion factor is 100 cm/m.
To convert 4 meters to centimeters, we need to multiply 4 meters by the conversion factor of 100 cm/m. This will give us the equivalent value in centimeters.
4 meters x 100 cm/m = 400 centimeters
It is essential to understand the conversion factor and the units of measurement involved in unit conversion. By doing so, we can accurately and efficiently convert values from one unit to another.
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a statistical technique that would allow a researcher to cluster such traits as being talkative, social, and adventurous with extroversion is called:________
Cluster Analysis is a statistical technique that is used to group a set of objects into clusters such that objects within the same cluster are similar to one another and objects in different clusters are dissimilar. This technique can be used to group traits such as being talkative, social, and adventurous with extroversion.
The cluster analysis is performed by assigning each trait to a group, or cluster, based on the similarity of the traits. For example, if two traits are very similar, they may be grouped together. The cluster analysis uses various algorithms to determine which traits should be grouped together. These algorithms can be based on Euclidean distance, correlation, or other measures of similarity. Once the clusters have been created, the researcher can then analyze the clusters to see how they are related to extroversion. For example, the researcher may find that traits such as talkativeness and socialness are strongly correlated with extroversion, while adventurousness is only weakly correlated. This allows the researcher to identify which traits are most strongly associated with extroversion.
Overall, Cluster Analysis is a powerful statistical technique that can be used to group traits such as being talkative, social, and adventurous with extroversion. This technique can help researchers understand the relationship between various traits and extroversion and can be used to develop better intervention strategies for individuals who exhibit certain personality traits.
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Which measure is most appropriate to describe the center of the data in the stem-and-leaf plot below? Pounds of food Collected.
0. 5, 6
1. 0, 2, 3, 3, 4
2. 1, 9
3. Blank
4. 2
5. 1
A interquartile B range C median D mean range
The answer choice which is most appropriate to describe the center of the data as represented is; Median.
Which statistical measure best reflects the center of the given data?It follows from the task content that the stemans leaf plot shown in the task content is such that;
It contains outliers such as 5.1 and 4.2 and hence, the median best appropriates the central of the data distribution as it is minimally influenced by the extremes of data.
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when you shining a flashlight on the book that is 12 cm tall and 8 cm wide . it makes a shadow on the wall that is 18 cm tall and 12 CM wide . then what is the scale factor of The book to it's Shadow?
Answer:
The scale factor of the book to its shadow is 2/3 or 66.67%
Step-by-step explanation:
Shadow (cm): 18 x 12
Book (cm) : 12 x 8
We want the scale factor of the book (12x8) to the shadow (18x12).
We can write each dimension ratio (book/shadow) as:
12/18 and 8/12
2/3 and 2/3
The scale factor is 2/3 or 66.67%
what is 4pm in military time
As per military time, 4pm would be 1600 hours or 16:00. We can deduce this by also seeing the 24 hour clock.
A day is divided into 24 equal-length segments and runs from midnight to midnight on the modern 24-hour clock, also known as military time in the United States.
Many nations use a 12-hour clock or a 24-hour/12-hour time combination, especially those that speak English as their primary language. Some professions favor using the 24-hour clock in nations where the twelve-hour clock is most prevalent.
A 24-hour clock is used in military time instead of a 12-hour clock to measure time. To convert from the 12-hour clock to military time, just add 12 to any time that is after noon. For example, 1 PM would be 13:00 in military time. To convert from military time to a 12-hour clock, just deduct 12 from any time that is after 12 PM (noon).
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What is the result 3 x 6 ?
Answer:
Step-by-step explanation:
3*6=18
q es un diagrama circular
A circular diagram is a pie chart.
What is a pie chart?A pie chart is a circular statistical graph used to display data.
The chart is divided into slices, with each slice representing a category or proportion of the data.
Pie charts are commonly used to show percentages or fractions of a whole.
We have,
A circular diagram.
A circular diagram is commonly referred to as a pie chart.
It is a type of graph that represents data in a circular format, with each section of the chart representing a different category or value.
The size of each section is proportional to the value it represents, and the total sum of all sections is equal to 100%.
Example:
From the pie chart,
The total color is 100.
The number of each color.
Green = 25/100 x 100 = 25
Blue = 35/100 x 100 = 35
Red = 10/100 x 100 = 10
White = 15/100 x 100 = 15
Orange = 15/10 x 100 = 15
Thus,
A circular diagram is a pie chart.
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The complete question in Englsih.
What is a circular diagram.
Find the value of x
73°
109°
Answer:
x = 88
Step-by-step explanation:
To find the value of x, we know that the sum of a quadrilateral's exterior angles are 360. We can use this information to create an algebraic expression and solve for x.
[tex]x+73+90+109=360[/tex]
Add like terms
[tex]x+272=360\\[/tex]
Subtract 272 on both sides
[tex]x=88[/tex]
To prove our work, we can add up all the angle measures and see if they add up to 360.
[tex]88+73+90+109=360[/tex]
So, our work is correct.
What do we mean by "LiFE"?
*
1 point
Taking choices that benefit the world on a microeconomic or macroecomomic level.
Taking choices that benefit the environment, whether on an individual, national or international level.
Striving towards establishing inclusive and resilient forums that are broad-minded.
Establishing close connections with other nations to benefit global communities and address major societal issues like gender discrimination and marginalisation.
Taking choices that benefit the world on a microeconomic or macroecomomic level.
Taking choices that benefit the environment, whether on an individual, national or international level.
Striving towards establishing inclusive and resilient forums that are broad-minded.
Establishing close connections with other nations to benefit global communities and address major societal issues like gender discrimination and marginalisation.
How many lb in 60 kg?
To convert between pounds and kilogrammes, multiply the number of pounds by 0.45359237, and to do the opposite, multiply the number of kilogrammes by 2.20462.
So, the value of 60 kg is equal to 132.2772 lbs.
The fundamental mass unit in the metric system is the kilogramme (kg). A kilogramme and 1,000 cubic centimetres of water have fairly similar masses.
One pound is approximately equal to 454 grams. One kilogram is the same as 2.20462 lbs.
One pound is equal to 0.45359237 kilograms.
To convert kilograms (kg) to pounds (lbs), you can use the following formula:
To convert kilograms to pounds, multiply your figure by 2.20462
To convert 60 kg to lbs, you can multiply 60 by 2.20462:
60 kg X 2.20462 lbs/kg
= 132.2772 lbs
Therefore, 60 kg is approximately equal to 132.2772 lbs.
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describe the operations you can use to solve the equation x^2 + 5= 86. Then determine the solution.
Answer:
see explanation
Step-by-step explanation:
One method of solution is given below
x² + 5 = 86 ( subtract 5 from both sides )
x² = 81 ( take the square root of both sides )
x = ± [tex]\sqrt{81}[/tex] = ± 9
To solve the equation x^2 + 5 = 86, we need to isolate the variable x on one side of the equation. We can do this by performing the opposite operations on each side of the equation.
Subtract 5 from both sides of the equation:
x^2 = 81
Take the square root of both sides of the equation:
x = ±9
Therefore, the solutions to the equation x^2 + 5 = 86 are x = 9 and x = -9.
how to convert 205 lbs to kg?
205 lbs is approximately equal to 92.9864 kg ( rounded to four decimal places )
The conversion factor to convert lbs to kilogram is 0.453592
1 lbs = 0.453592 kg
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
The mass in kg = The mass in lbs × conversion factor
Substitute the values in the equation
1 lbs = 0.453592 kg
205 lbs = 0.453592 × 205
Multiply the numbers
= 92.9864 kg ( rounded to four decimal places )
Therefore, 205 lbs is 92.9864 kg
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Is 23 a prime number Why or why not?
Answer:
Yes, 23 is a prime number, because its only factors are 1 and itself.
what is definition of sampling error
Sampling error refers to the difference between the results of a sample and the true characteristics of the population from which the sample was drawn.
In statistics, sampling error is a measure of the degree of uncertainty that arises when estimating the characteristics of a population based on a sample of that population. This error occurs due to the fact that it is not feasible to collect data from every individual in a population, so researchers must rely on samples.
Sampling error can arise from various sources, including biases in the sample selection process, variability in the characteristics of the population, and random chance. Understanding and quantifying sampling errors are important in order to assess the validity and reliability of statistical estimates and to draw accurate conclusions from data.
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What is this expression in simplified form?
4
14
−
11
14
A.
−
7
14
B.
7
14
C.
−
7
D. -49
The simplified form of the expression is -7/14, which is option C.
What is the fraction?A fraction represents a portion of a whole. This whole may refer to a place or a group of places. The Latin word "fractio," which means "to break," is the source of the English word "fraction." The division of food and supplies as well as the lack of a bullion currency were among the mathematical issues that the Egyptians used fractions to solve because they were the first civilization to study fractions.
A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value).
The expression 4/14 - 11/14 can be simplified by finding a common denominator and combining the fractions:
4/14 - 11/14 = (4 - 11)/14 = -7/14
Hence, the simplified form of the expression is -7/14, which is option C.
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The radius of a circle is 6 inches. What is the area of a sector bounded by a central angle measuring 120°
Knowing that a circle has a radius of 6 inches, the area of a sector with a central angle of 120º is 12π square inches.
The area of a sector can be found using the formula:
Area of sector = (Central angle/360°) × π × r²
Where "central angle" is the angle of the sector in degrees and "r" is the radius of the circle.
In this case, the central angle is 120° and the radius is 6 inches. Plugging these values into the formula, we get:
Area of sector = (120°/360°) × π × 6²
Area of sector = (1/3) × π × 36
Area of sector = 12π square inches
Therefore, the area of the sector bounded by a central angle measuring 120° in a circle with a radius of 6 inches is 12π square inches.
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what is functional residual capacity ?
Functional residual capacity (FRC) is the volume of air that remains in the lungs after a normal exhalation.
functional residual capacity (FRC) is the volume of air that remaining parts in the lungs after a typical exhalation when the muscles of breath are loose. It is the equilibrium point between the outward flexible force of the chest wall and the internal versatile backlash of the lungs. At FRC, there is no air development and the tensions in the lungs and the climate are equivalent.
FRC is a significant estimation in pneumonic capability tests and can be utilized to analyze different respiratory circumstances like obstructive lung illnesses, prohibitive lung sicknesses, and neuromuscular illnesses that influence the respiratory framework.
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What is the conversion of 126 lbs to kg ?
Answer: 57.153 kilograms
Step-by-step explanation:
126 lbs is equal to 57.15 kg.
To convert pounds (lbs) to kilograms (kg).
you can use the conversion factor of 1 lb = 0.453592 kg.
To convert 126 lbs to kg:
multiply the weight in pounds by the conversion factor:
126 lbs×0.453592 kg/lb
= 57.152712 kg
Therefore, 126 lbs is equal to approximately 57.15 kg.
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