The best measure of variability for the data, and its value is: D. The range is the best measure of variability, and it equals 9.
What is a line plot?In Mathematics and Statistics, a line plot simply refers a type of graph that is used for the graphical representation of data set above a number line, while using crosses, dots, or any other mathematical symbol.
From the data set, we have:
10, 1, 1, 4, 4, 2, 2, 2, 5, 5, 5, 3, 3, 3, 3
For the IQR, we have:
IQR = Third quartile (Q₃) - First quartile (Q₁)
IQR = 5 - 2
IQR = 3
For the range, we have;
Range = maximum - minimum
Range = 10 - 1
Range = 9.
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EJERCICIO 13 - RESPONDE ESTE PROBLEMA (Lo necesito urgente por favor)
Un pueblo costero tiene 4.500 habitantes. La tercera parte vive de la pesca; dos quintos, de la agricultura; y el resto, del sector servicios. ¿Cuántos habitantes son del sector servicios? ¿Qué fracción de los habitantes son del sector servicios?
A coastal town with 4,500 inhabitants has the fraction of 1,200 working in the service sector, which represents approximately 26.67% of the total population.
One third of the population works in fishing, which is equal to
(1/3) x 4,500 = 1,500 inhabitants
Two fifths work in agriculture, which is equal to
(2/5) x 4,500 = 1,800 inhabitants
The remaining inhabitants work in the service sector, which is equal to
4,500 - 1,500 - 1,800 = 1,200 inhabitants
To find the fraction of inhabitants who work in the service sector, we can divide the number of inhabitants who work in the service sector by the total population
1,200 / 4,500 = 0.2667 or 26.67%
Therefore, there are 1,200 inhabitants working in the service sector, which represents approximately 26.67% of the total population.
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Whoever can give me the surface area will get brainliest
Answer:
112ft
Step-by-step explanation:
To find the total surface area, we need to find the area of each face of the shape and add those area together.
So, for the rectangular faces, we multiply 4 by 8 to get 32.
For the triangle faces, we multiply 4 by 4 and divided by 2 which is 8. We can use the equation base*height/2 because the 4ft lengths form a right angle, meaning four is the base and height.
There are three rectangular faces, and two triangular faces, so
(3*32)+(2*8)= 112 ft
What is area of the triangle 6 8 10
Answer:
Area: 24
Step-by-step explanation:
Answer: If I did it corcorrectlyect the answer is 41.57²
Hope it helped :D
an article in wear (1992, vol. 152, pp. 171-181) presents data on the fretting wear of mild steel and oil viscosity. representative data follow with x = oil viscosity and y = wear volume (10-4 cubic millimeters). y 240 181 193 155 172 110 113 75 94 x 1.6 9.4 15.5 20.0 22.0 35.5 43.0 40.5 33.0 calculate for the simple linear regression model and provide an interpretation of this quantity. what percentage of the variability does the model accounts for with the data given?
The percentage of the variability does the model accounts for with the data is equals to the 40%.
We have an article in wear (1992, vol. 152, pp. 171-181), x = oil viscosity, y = wear volume and we have a table consists data values of x and y.
the simple linear regression model, is represented as
[tex]y = \beta_0 + \beta_1x [/tex]
where,
[tex]\beta_0 [/tex]
= intercept
[tex]\beta_1[/tex]
= slope
The above shows all calculations of these variables.
Hence, required value is 40%.
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What is the total price that will be paid on an item with a 7.5% tax rate that is $1425.89?
Answer: Price before tax: $ 1,425.89
+ Sales tax (7.5%): $ 106.94
Total price including tax: $ 1,532.83
Step-by-step explanation:
Multiply the price of your item or service by the tax rate. If you have tax rate as a percentage, divide that number by 100 to get tax rate as a decimal. Then use this number in the multiplication process.
Find list price and tax percentage
Divide tax percentage by 100 to get tax rate as a decimal
Multiply list price by decimal tax rate to get tax amount
Add tax amount to list price to get total price
find the missing lengths. Leave your answers as radicals in simplest form
Answer:
b
Step-by-step explanation:
you use cos or sin to solve it cause it is isoscels triangle so a and b are equale .
cos (45) = a / 5√2
a = cos(45) ×5√2
a = 5 so b = 5
so the answer will be 5 and 5
Vera's favorite apples are $1.99 per pound at the local farmers' market. She bought 13.5 pounds of apples. How much did she spend? Round your answer to the nearest hundredth.
please I need explanation for this work.
Answer: $26.865 rounded to nearest hundredth = $26.87
Step-by-step explanation: So, firstly, Vera's favorite apples are $1.99 per pound. In all, she brought 13.5 pounds of apples.
⬇️
$1.99 the price of apples per pound multiplied by 13.5 pounds of all the apples she brought is equal to $26.865 rounded to the nearest hundredth is $26.87.
I hope this helps! If it's wrong just let me know! I tried my best <3
The Function 1 (x) = 2160 (1.07)x can be used to calculate the value, in dollars, of an investment x years after the investment was made. What statement best interprets the parameters of the function?
Answer: show a picture please
Step-by-step explanation:
Find B
A: 92
B: 16
C: 76
D: 23
Answer:
D, 23
Step-by-step explanation:
In order to find b use sin
Sin (30) = b/46
Sin (30) = b/46b = sin (30) × 46
Sin (30) = b/46b = sin (30) × 46b = 1/2 × 46
Sin (30) = b/46b = sin (30) × 46b = 1/2 × 46b = 23
in triangle lmn, the angle bisector of angle m also bisects ln. classify lmn as specifically as possible, as what kind of triangle?
If the angle bisector of angle M also bisects side LN, then we can conclude that triangle LMN is an isosceles triangle.
Let the angle bisector of angle M cross LN at point P to show why this is true. We know from the angle bisector theory that LP/PN = LM/MN. Because LP = PN, LM = MN, which indicates that triangle LMN has two equal sides (LM = MN) and is thus an isosceles triangle.
A triangle with two equal sides and two equal angles is called an isosceles triangle. The two equal angles are opposite the equal sides and are known as the basis angles.
The angle bisector of the vertex angle (the angle opposite the equal sides) likewise bisects the base, dividing it into two equal segments.
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Find the value of c that makes x²-4x+c a perfect square.
Step-by-step explanation:
Given,
[tex] \sf x^2+4x+c \: \: \: \: \: \: \\ \\ \sf x^2+2(2)x+c \\[/tex]
We know that,
[tex] \boxed{ \sf \bull(a+b)^2=a^2+2(a)(b)+b^2} \\ [/tex]
[tex] \sf x^2+2(2)x+c \: \: \: \\ \sf x^2+2(2)x+2^2 \\ \sf(x+2)^2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ [/tex]
Therefore , the value of c is 4
Enter an equation relating the variables in the table. Express any value(s) in your answer as simplified fractions, if necessary. Time (x) 18 45 63 72 Distance (y) 4 10 14 16
The equation relating the variables in the table is y = (2/9)x
How to get the equationLet's look at the data points to see if there's a consistent pattern:
(18, 4)
(45, 10)
(63, 14)
(72, 16)
To find the relationship, let's examine the ratio of distance (y) to time (x) for each point:
4/18 = 2/9
10/45 = 2/9
14/63 = 2/9
16/72 = 2/9
As we can see, the ratio of distance to time is consistent and equal to 2/9 for all data points. This suggests a linear relationship between the time (x) and the distance (y).
We can express this relationship as:
y = (2/9)x
This equation shows the relationship between the time (x) and the distance (y) for the given data points.
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jayla bought the ingredients to make chicken soup, and wanted to make a double batch, which would be 12 cups of soup. a quick search told her that this was 173.3 cubic inches. she hoped the soup pot below would be big enough. the soup pot is 8 inches tall with a radius of 3 inches. what is the volume of the soup pot? answer choices are rounded to the nearest whole cubic inch.
The volume with the amount of soup that Jayla wants to make, which is 173.3 cubic inches.
In this problem, we are given the dimensions of the soup pot - a height of 8 inches and a radius of 3 inches. To find the volume of the soup pot, we will use the formula for the volume of a cylinder, which is:
V = πr²h
where V represents volume, π is a mathematical constant approximately equal to 3.14, r is the radius of the cylinder, and h is the height of the cylinder.
Substituting the given values into the formula, we get:
V = π(3)²(8) V = 72π
Now, we can use an approximation for π, such as 3.14, to get a numerical value:
V ≈ 226.19
Rounding to the nearest whole cubic inch, the volume of the soup pot is approximately 226 cubic inches.
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example of permutation problem: there are 10 horses racing at the championship. how many ways can the horses finish 1st, 2nd, and 3rd?
Using the Principle of permutations it is found that, there are 720 ways in which the horses can finish in first, second, and third place.
This is an example of a permutation problem, where we are interested in the number of ways to order a set of objects.
In this case, we have 10 horses racing at the championship, and we want to determine how many ways they can finish in first, second, and third place.
To solve this problem, we can use the permutation formula:
P(n, r) = n! / (n - r)!
where n is the total number of objects and r is the number of objects we want to choose and arrange in order.
In this case, we want to choose 3 horses from 10 to finish in a particular order. Therefore, we have:
P(10, 3) = 10! / (10 - 3)!
= 10! / 7!
= 10 x 9 x 8
= 720
Therefore, there are 720 ways in which the horses can finish in first, second, and third place.
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Hi, I really need help on radicals and exponents.
Answer:
The answer is A, you have to simplify in order to solve this equation.
what are the intercepts of the equation 3x-5y=30? the x and y intercepts.
Answer:
x-intercept (10, 0)
y-intercept (0, -6)
Step-by-step explanation:
The x-intercept is where y = 0. Thus, set y as 0 to find the x-intercept:
3x - 5(0) = 30
3x - 0 = 30
3x = 30
x = 10 The x-intercept is (10, 0)
The y-intercept is where x = 0. Thus, set x as 0 to find the y-intercept:
3(0) - 5y = 30
0 - 5y = 30
-5y = 30
y = -6 The y-intercept is (0, -6)
Answer: (10,0) and (0,-6)
Step-by-step explanation:
To find the y intercepts we solve the equation for when x=0. So we have 3(0)-5y=30 which reduces to -5y=30. Divide -5 on both sides and get y=-6. Therefore, the y intercept is (0,-6). To find the x intercept plug 0 in for y. Then you get x=10, so the x intercept is (10,0).
Least common denominator
Step-by-step explanation:
Multiply 1/2 by 'one' in the form of 3x / 3x
1/2 * 3x/3x = 3x / 6x
6x is the LCD
11) Fred wants to buy 6 hats but there are 12 hats that he likes. How many possible combinations of
the 6 hats can he choose?
Answer:
The number of possible combinations of 6 hats chosen from 12 hats can be calculated using the combination formula:
C(12, 6) = 12! / (6! * (12 - 6)!) = 12! / (6! * 6!) = (12 * 11 * 10 * 9 * 8 * 7) / (6 * 5 * 4 * 3 * 2 * 1) = 924
Therefore, Fred has 924 possible combinations of 6 hats he can choose from the 12 hats he likes.
Carson, a lawyer, used to charge his clients $360 per hour. Recently, he reconsidered his rates and ultimately decided to charge 20% less. Now how much does Carson charge per hour? $
If the lawyer Carson decides to charge 20% less in the rate of $369 per hour, then the new amount that Carson charge per hour will be $288.
The per-hour rate of the lawyer Carson is = $360,
To find new-rate, we convert the percentage 20% to a decimal which is 0.2,
We multiply the previous rate of $360 by 0.2 to get the amount of the reduction:
⇒ $360 × 0.2 = $72,
So, Carson has reduced his rate by $72 per hour.
To find the new rate, we subtract reduced-rate from the previous-rate:
We get,
⇒ $360 - $72 = $288,
Therefore, Carson's "new-rate" is $288 per hour.
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I NEED HELP ON THIS ASAP!!!!
Answer:
Step-by-step explanation:
jeez u had to wait an hour sorry but im not verry helpfull
solve for x. please help teehee
Answer:
6
Step-by-step explanation:
We have a secant and a tangent, meaning we can use this formula:
[tex]x^{2} =a(a+b)[/tex]
We have the values of a and b, so let's substitute:
[tex]x^{2} =4(4+5)[/tex]
evaluate the right side
[tex]x^{2} =36[/tex]
take the square root of both sides
x=6
Hope this helps!
Answer:
x=6
Step-by-step explanation:
To solve this problem, you first have to use the formula for this problem. The formula is [tex]b(a+b)=c^2[/tex]. The b in this formula is four or the part of the secent outside the circle, while the a is the line in the middle of the circle, which is 5. The C would be the x because the c is always the tangent of the circle.
So let us substitute the values (this will require quite a bit of algebra).
[tex]b(a+b)=c^2\\\\4(5+4)=x^2\\\\4(9)=x^2\\\\36=x^2\\\\\sqrt{36}=\sqrt{x^2}\\\\6=x[/tex]
(We had to take the square root of both sides to isolate x, this type of problem is called a perfect square binomial.)
Now doing so gives you your answer of x=6
Could I please get the brainiest? (Im trying to get to the expert status)
Easy eats diner is a large restaurant chain after paying for a meal at easy eats diner customers are asked to rate the quality of food as a 1,2,3,4,or 5, where a rating of 1 means not good and 5 means excellent the customers ratings have a population mean of
The mean and the standard deviation of the sampling distribution of the sample mean is equal to 4.57 and 0.69 respectively.
Population mean 'μ' = 4.57
Sample size 'n' = 7
Population Standard deviation 'σ' =1.82
Mean of the sampling distribution of the sample mean is equal to the population mean,
which is μ = 4.57.
So, μₓ = μ = 4.57.
Standard deviation of the sampling distribution of the sample mean also known as the standard error of the mean.
Using the formula we have,
σₓ = σ / √(n)
Substituting the given values, we have,
⇒ σₓ = 1.82 / √(7)
⇒ σₓ = 1.82 / 2.646
⇒ σₓ = 0.6878
⇒ σₓ ≈ 0.69
This implies,
The standard deviation of the sampling distribution of the sample mean is σₓ ≈ 0.69.
Therefore, the mean of the sampling distribution of the sample mean and
standard deviation of the sampling distribution of the sample mean is equal to 4.57 and 0.69 respectively.
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The above question is not complete, the complete question is:
Easy Eats Diner is a large restaurant chain. After paying for a meal at Easy Eats Diner, customers are asked to rate the quality of the food as a 1, 2, 3, 4, or 5, where a rating of 1 means "not good" and 5 means "excellent". The customers' ratings have a population mean of μ = 4.57, with a standard deviation of σ=1.82. Suppose that we will take a random sample of n= 7 customers' ratings. Let x represent the sample mean of the 7 customers' ratings. Consider the sampling distribution of the sample mean x.
Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed.
(a) Find μₓ(the mean of the sampling distribution of the sample mean). ?
(b) Find σₓ (the standard deviation of the sampling distribution of the sample mean). ?
e following box plot shows the number of aces olga served during each tennis match. 0022446688101012121414161618182020 a horizontal boxplot is plotted along a horizontal axis marked from 0 to 20, in increments of 1. a left whisker extends from 0 to 3. the box extends from 3 to 10 and is divided into 2 parts by a vertical line segment at 6. the right whisker extends from 10 to 14. all values estimated.f olga served fewer than what number of aces during about 75\uu, percent of tennis matches?
For a boxplot of number of aces olga served during each tennis match, the number of aces during about 75 percent of tennis matches is equal to 10.
A boxplot is a representative way of displaying the distribution of data based on a five number summary (minimum, first quartile [Q₁], median, third quartile [Q₃] and maximum). It includes the
Minimum= The lowest score. 25% of values fall below the lower quartile value (also known as the first quartile.Median : 50% values fall below the lower quartile value (also known as the second quartile or median.75% of the values fall below the upper quartile value (also called as the third quartile). Maximum= the highest value excluding outlier.We have a boxplot represents the number of aces olga served during each tennis match as present in above figure. It is a horizontal boxplot is plotted along a horizontal. See the above boxplot carefully. We have to determine the number of aces during about 75% of tennis matches. From the graph, The minimum Value= 0
Maximum value = 14
First quartile, Q₁= 3
Second quartile or median, Q₂ = 6
Third quartile, Q₃ = 10
The value less than 75% lies in region below Q₃. So, the value is equals to 10. Hence, required value is 10.
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Complete question:
the above figure complete the question. e following box plot shows the number of aces olga served during each tennis match. 0 2 4 6 8 10 12 14 16 18 20, and a horizontal boxplot is plotted along a horizontal axis marked from 0 to 20, in increments of 1. a left whisker extends from 0 to 3. the box extends from 3 to 10 and is divided into 2 parts by a vertical line segment at 6. the right whisker extends from 10 to 14. all values estimated.f olga served fewer than what number of aces during about 75\uu, percent of tennis matches?
Solve the quadratic equation using the completing the square method
x^2 + 14x = -13
Answer:
The correct answer is x = -7 and x = 1. To solve this equation using the completing the square method, we first need to subtract 13 from both sides of the equation. We then need to add 49/4 to both sides of the equation. This gives us (x + 7/2)^2 = 49/4. We then take the square root of both sides of the equation to get x + 7/2 = 7/2 or x = -7. We can then solve for the other value of x by subtracting 7/2 from both sides of the equation, giving us x = 1.
A carpenter bought a piece of wood that was 8.95 centimeters long. Then she sawed 3 centimeters off the end. How long is the piece of wood now? centimeters
Mike has 4 apples. Zom has 8 more. How many apples does zom have
According to unitary method, the total number of fruits in the basket is (8/7) times the difference between the total number of fruits and 5.
To find out the total number of fruits in the basket, we need to add up the number of apples, bananas, and oranges. So, the equation we can use is:
total fruits = number of apples + number of bananas + number of oranges
total fruits = 5 + (5/8)x + (1/4)x
Notice that we used "x" to represent the total number of fruits. Now we can simplify the equation by finding a common denominator for the fractions:
total fruits = 5 + (5/8)x + (2/8)x
total fruits = 5 + (7/8)x
So, we have an equation for the total number of fruits in the basket in terms of "x". To solve for "x", we can subtract 5 from both sides of the equation:
(7/8)x = total fruits - 5
And then, we can multiply both sides by 8/7 to isolate "x":
x = (8/7)(total fruits - 5)
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Complete Question:
Mike made a fruit basket. Of a total fruit, 5 were apples, 5/8 were bananas and 1/4 were oranges. How many pieces of fruit does mike have in his basket.
One morning, Ryan remembered lending a friend a bicycle. After breakfast, Ryan walked over to the friend's house at 3 miles per hour, and rode the bike back home at 7 miles per hour, using the same route both ways. The round trip took 1.75 hours. What distance did Ryan walk?
Ryan thus walked a distance of 1.8375 miles.
How much distance did Ryan walk?Let d be the distance between Ryan's house and his friend's house.
According to the problem, Ryan went to his friend's house at a speed of 3 miles per hour, which equals d/3 hours.
Ryan rode his bike home at 7 miles per hour, which meant it took him d/7 hours.
We can use the following equation because the round trip took 1.75 hours:
d/3 + d/7 = 1.75
To calculate d, first, simplify the equation by locating a common denominator:
(7d + 3d) / (3 x 7) = 1.75
10d / 21 = 1.75
When we multiply both sides by 21, we get:
10d = 1.75 x 21
10d = 36.75
When we divide both sides by 10, we get:
d = 3.675
The distance between Ryan's residence and his friend's house is thus 3.675 miles. Ryan walked to his friend's house and returned home on the same route, thus he walked the same distance as he rode the bike, which is d/2 = 1.8375 miles.
Ryan thus walked 1.8375 miles.
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In AVWX, m/V = 96° and m/W = 39°. Which list has the sides of AVWX in order
from longest to shortest?
A. XV, VW, WX
B. WX, VW, XV
C. XV, WX, VW
D. VW, WX, XV
E. VW, XV, WX
F. WX, XV, VW
In the given polygon, the sides of AVWX in order from longest to shortest is XV, WX, VW (option c)
To determine the order of sides from longest to shortest, we need to use the fact that the longest side is opposite the largest angle, and the shortest side is opposite the smallest angle. Therefore, we need to determine which sides are opposite the largest and smallest angles.
We are given that m/V = 96°, which means that angle V is the largest angle in the quadrilateral. Therefore, side XV is opposite the largest angle and is the longest side.
Similarly, we are given that m/W = 39°, which means that angle W is the smallest angle in the quadrilateral. Therefore, side WX is opposite the smallest angle and is the shortest side.
Now we need to determine the order of the remaining sides, which are AV and VW. To do this, we need to use the fact that the sum of the measures of angles in a quadrilateral is always 360°. Therefore, we can find the measure of angle A by subtracting the sum of the other three angles from 360°.
m/A = 360° - (m/V + m/W + m/X) = 360° - (96° + 39° + m/X)
We don't know the measure of angle X, but we know that it must be between 0° and 180° since it is an interior angle of a quadrilateral. Therefore, we can set up an inequality to find the maximum and minimum values of angle A.
0° < m/X < 180°
96° + 39° < 360° - m/A < 96° + 39° + 180°
135° < 360° - m/A < 315°
225° < m/A < 45°
Since angle A is between 225° and 45°, we know that side AV is longer than side VW. Therefore, the order of sides from longest to shortest is:
XV, WX, AV, VW
Hence the correct Answer is C. XV, WX, VW
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A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.
5, 5, 6, 8, 10, 15, 18, 20, 20, 20, 20, 20, 20
A graph titled Donations to Charity in Dollars. The x-axis is labeled 1 to 5, 6 to 10, 11 to 15, and 16 to 20. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 1 to 5, up to 3 above 6 to 10, up to 1 above 11 to 15, and up to 7 above 16 to 20.
Which measure of variability should the charity use to accurately represent the data? Explain your answer.
The range of 13 is the most accurate to use, since the data is skewed.
The IQR of 13 is the most accurate to use, since the data is skewed.
The range of 20 is the most accurate to use to show that they have plenty of money.
The IQR of 20 is the most accurate to use to show that they need more money.
The IQR of 13 is the most accurate to use, since the data is skewed.
In statistics, a quartile is a type of quantile which divides the number of data points into four parts, or quarters, of more-or-less equal size.
Given is that a charity needs to report its typical donations received. The following is a list of the donations from one week -
5, 5, 6, 8, 10, 15, 18, 20, 20, 20, 20, 20, 20
For the given data, the interquartile range is 13. So, the IQR of 13 is the most accurate to use, since the data is skewed.
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what is a negative skewed distribution vs a positive skewed distribution. draw them out. What does this mean for the placement of the median and mean?
A negative skewed distribution is a distribution where the majority of the data is on the higher end of the scale, with a few extreme low values that drag the tail of the distribution to the left.
A negative skewed distribution, also known as left-skewed, has a longer tail on the left side of the distribution, indicating that there are more values on the lower end of the scale. On the other hand, a positive skewed distribution, or right-skewed, has a longer tail on the right side, indicating more values on the higher end of the scale.
In a negative skewed distribution:
1. Draw a curve that starts high on the left side and gradually slopes down to the right with a long tail on the left side.
2. The mean is located to the left of the median.
In a positive skewed distribution:
1. Draw a curve that starts low on the left side and gradually slopes up to the right with a long tail on the right side.
2. The mean is located to the right of the median.
In both cases, the placement of the median and mean is affected by the skewness. In a negative skewed distribution, the mean is smaller than the median, while in a positive skewed distribution, the mean is larger than the median.
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