Answer:
A) 1.7m, 1.78m, 1.8m, 1.82m, 1.86m, 1.88m, 1.9m
B) The median is 1.82
C) There is a 3/7 chance that the player will be taller than 1.85m
Step-by-step explanation:
The solution is, (a) 1.7m < 1.78m < 1.8m < 1.82m< 1.86m< 1.88m < 1.9m, the heights in order from smallest to largest.
(b) 1.8 the median height.
(c) A player is picked at random, 3/7 is the probability that he is over 1.85m.
What is median?In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.
here, we have,
given that,
The heights of seven footballers are listed below.
1.9m, 1.82m, 1.78m, 1.8m, 1.88m, 1.86m, 1.7m
now we have to Arrange the heights in order from smallest to largest.
we get,
(a) 1.7m < 1.78m < 1.8m < 1.82m< 1.86m< 1.88m < 1.9m, the heights in order from smallest to largest.
now, the median = 1.7 + 1.9/ 2
= 1.8
(b) 1.8 the median height.
again,
(c) the total no. of outcome = 7
no. of event that he is over 1.85m = 3
so, the probability that he is over 1.85m = 7/3
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PLEASE HELP!!
Solve and explain
Answer:
Step-by-step explanation:
holy mocacrise
Polygon ABCD with vertices at A(1, −1), B(3, −1), C(3, −2), and D(1, −2) is dilated to create polygon A′B′C′D′ with vertices at A′(4, −4), B′(12, −4), C′(12, −8), and D′(4, −8). Determine the scale factor used to create the image.
1/4
1/2
2
4
The scale factor used to create the dilated polygon is 4.
What is scaler factor?
Scale factor is a numerical ratio that describes how much a geometric figure has been enlarged or reduced. It is the ratio of the length of a side, diagonal, or any other linear dimension of the new (dilated) figure to the corresponding dimension of the original figure.
The distance between two points can be calculated using the distance formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$.[/tex]
To determine the scale factor, we need to compare the distances between corresponding points in the original and dilated polygons. Let's start by finding the distance between points A and B in the original polygon:
[tex]$d_{AB}=\sqrt{(3-1)^2+(-1+1)^2}=\sqrt{4}=2$[/tex]
Now let's find the distance between corresponding points A' and B' in the dilated polygon:
[tex]$d_{A'B'}=\sqrt{(12-4)^2+(-4+4)^2}=\sqrt{64}=8$[/tex]
To find the scale factor, we divide the corresponding distances:
[tex]$scale\ factor=\frac{d_{A'B'}}{d_{AB}}=\frac{8}{2}=4$[/tex]
Therefore, the scale factor used to create the dilated polygon is 4.
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which value of n makes the equation true
[tex]-\frac{1}{2}n=-8[/tex]
Answer:
Step-by-step explanation:
nothing makes it true
in three combined decks of cards, what is the fewest number of cards you must pick at random to be guaranteed at least one four-of-a-kind?
four is the minimal because you want to draw all four to the four of a kind
In terms of the water lily population change, the value 3.915 represents: the value 1.106 represents:
The value 3.915 represents the y-intercept or the initial or baseline water lily population when there are no changes in the independent variable (x). the coefficient 1.106 represents the slope of the regression line or the rate of change in the dependent variable (y).
In the regression equation y = 3.915(1.106)x, the coefficient 3.915 represents the y-intercept or the value of y when x is 0. In the context of the water lily population change, this means that when there are no changes in the independent variable (x), the predicted value of the dependent variable (y) is 3.915, which represents the initial or baseline water lily population.
The coefficient 1.106 represents rate of change in the dependent variable (y) per unit change in the independent variable (x) or the the slope of regression line . In the context of the water lily population change, this means that for every unit increase in the independent variable (which could be time, environmental factors, or any other relevant variable), the predicted value of the dependent variable (y) increases by a factor of 1.106. In other words, the water lily population is expected to grow by 1.106 times for every unit increase in the relevant variable.
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____The given question is incomplete, the complete question is given below:
The regression equation you found for the water lilies is y = 3.915(1.106)x.
In terms of the water lily population change, the value 3.915 represents:
The value 1.106 represents:
Answer:
The value of 3.915 is the initial number
of water lilies. It is approximately 4, which matches
the data.
The value 1.106 is the growth rate. The rate represents growth for each day. The percentage growth each day is 10.6%
Step-by-step explanation:
Clark and bruce went to taco hut for lunch. Clark bought 4 burriots and 5 tacos. Which cost him $13. Bruce bought 5 burritos and 3 tacos, which cost him $13. Determine how much a burriot cost at taco hut
A burrito costs $2 at Taco Hut. Let's use "b" to represent the cost of a burrito and "t" to represent the cost of a taco.
From the problem, we know that:
4b + 5t = 13 (for Clark)
5b + 3t = 13 (for Bruce)
We want to determine the cost of a burrito, so we can solve for "b" using the second equation:
[tex]5b + 3t = 13\\5b = 13 - 3\\b = (13 - 3t)/5[/tex]
Now we can substitute this expression for "b" into the first equation:
[tex]4b + 5t = 13\\4[(13 - 3t)/5] + 5t = 13\\52/5 - 12t/5 + 5t = 13\\52 - 12t + 25t = 65\\13t = 13\\t = 1[/tex]
So we know that a taco costs $1. Now we can substitute this value into either of the original equations to solve for "b":
[tex]5b + 3t = 13\\5b + 3(1) = 13\\5b = 10\\b = 2[/tex]
Therefore, a burrito costs $2 at Taco Hut.
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Help me please it’s so harddd
Answer:
3s+7.99=71.83
Step-by-step explanation:
Warm up State the theorems and show the steps needed to find the measure of angle a
Answer:
a=100
Step-by-step explanation:
Help me Pleaaee it’s urgent
FARMING A dairy farmer has 2650 dairy cows on his farm. If each dairy cow produces 2320 gallons of milk per year, how much milk does the dairy farm yield in one year? Write your answer in scientific notation.
Answer:
To calculate the total milk yield in one year, we need to multiply the number of dairy cows by the amount of milk each cow produces per year:
Total milk yield = 2650 dairy cows × 2320 gallons of milk per cow per year
Total milk yield = 6,188,000 gallons per year
To write this answer in scientific notation, we need to express the number 6,188,000 as a number between 1 and 10 multiplied by a power of 10. We can do this by moving the decimal point to the left until we have a number between 1 and 10, and counting the number of decimal places we moved. In this case, we need to move the decimal point 6 places to the left:
Total milk yield = 6.188 × 10^6 gallons per year
Therefore, the dairy farm yields 6.188 × 10^6 gallons of milk per year.
What is value of x?
Enter your answer in the box.
X =
B
8
A
X+4
12
2x + 1
C
Next ►
We can deduce that X + 4 = 8 by looking at the top row & second column. The X value is therefore 4.
The word "column" has what meaning?an arrangement of written or printed items on a page that are vertical. a vertical part of a printed page divided into two or more equal columns of numbers.
X + 4 corresponds to a value in the second column and top row.
The third row's value is equal to the first column's value plus two.
(Third row, second column) The value is 12 at the bottom right corner.
First row and the first column, top left, represents value as B.
It reads 8, first row, second column, in the upper right corner.
C is the value located on the bottom left (third row, first column).
We can deduce that X + 4 equals 8 from top row & second column. Hence, we can find X:
X plus 4 = 8
When we take 4 away from both sides, you get:
X = 4
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Find the average rate of change for the function
Answer:
average rate of change on [-1,3] = 11
Step-by-step explanation:
avg rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
[tex]\frac{f(3)-f(-1)}{3-(-1)}[/tex]
1. find your y-values.
we are given the x values from the interval [-1,3]. Plug each into the equation to get the y-value of the coordinates.
[tex]f(-1)=4(-1)^2+3(-1)-4\\f(-1)=4(1)-3-4\\f(-1)=-3\\[/tex]
coordinate: (–1,3)
[tex]f(3)=4(3)^2+3(3)-4\\f(3)=4(9)+9-4\\f(3)=36+9-4\\f(3)=41[/tex]
coordinate: (3, 41)
2. plug into the slope formula
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{41-(-3)}{3-(-1)} \\m=\frac{41+3}{4} \\m=\frac{44}{4} \\m=11[/tex]
In the figure below, find the exact value of z. (Do not approximate your answer.)
Answer:
z=8
Step-by-step explanation:
Considering the triangle on the RHS,
Let the Unknown side be "x"
from pythagora's theorem,
x ^ 2 = 4 ^ 2 - 2 ^ 2 x = √(4 ^ 2 - 2 ^ 2)
x = √(16 - 4)
x = √12
cos alpha = 2/4 , alpha = arccos(2/4)
alpha = 60°
< ABC + theta + alpha = 180°
theta = 180 - alpha - <ABC
theta = 180 - 60 - 90
theta = 30°
Now Considering the triangle on the LHS,
tan 30 = (√12)/y
y = (√12)/(tan 30°)
y = 6
z = y + 2
z = 8
If you are solving the area of a trapezoid or a triangle, you multiply the base and the height. BUTTTT, I don't know if you divide the "area" by 2 to find the answer because the area solves two next to each other ALWAYS, or you do it depending on how many trapezoids are in the problem.
Answer:
When calculating the area of a triangle, you multiply the base by the height and then divide the result by 2. This is because a triangle is half of a parallelogram or a rectangle, and these shapes have an area equal to base times height. By dividing by 2, you are finding half of the area of the parallelogram or rectangle.
For a trapezoid, you can find the area by taking the average of the bases and multiplying it by the height. So the formula for the area of a trapezoid is A = (b1 + b2)h/2, where b1 and b2 are the lengths of the two parallel bases and h is the height. There is no need to divide the result by 2 because the formula already takes the average of the bases into account.
complaints about an internet brokerage firm occur at a rate of 7 per day. the number of complaints appears to be poisson distributed. a. find the probability that the firm receives 5 or more complaints in a day. probability
The probability that company will receive five or more objections in a single day is [tex]0.9951[/tex].
What are the basics of probability?Probability is simply the possibility that something will happen. We may talk about the possibility with one result, or the probability of numerous outcomes, if we don't understand how such an occurrence will turn out. Statistical is the study of events that follow a probabilistic model.
Is math in probability difficult?Probability is typically considered as one of the most difficult mathematical concepts because probabilistic arguments can occasionally give results that seem inconsistent or nonsensical. The Monty Hill paradox and the anniversary problem are two examples.
Let [tex]X[/tex] be the random variable denoting the number of complaints received in a day. We need to find P(X ≥ 5).
Using the Poisson probability mass function,
P(X ≥ 5) = 1 - P(X < 5)
[tex]= 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3) - P(X = 4)[/tex]
[tex]= 1 - e^{(-7)(1 + 7 + 24.5 + 57.33 + 100.18)}[/tex]
[tex]= 1 - 0.0049[/tex]
[tex]= 0.9951[/tex]
Therefore, the probability that the firm receives [tex]5[/tex] or more complaints in a day is [tex]0.9951[/tex].
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Given f(x)=6x and g(x)=1/3x^-2, find: (f • g) (3)
Answer:
2/3 is the answer .......mmm..
How many ways can you make chance. 45 cents
Answer:
There are several ways to make 45 cents using different coins:
Nine nickels
Four dimes and one nickel
Three dimes and six nickels
Two dimes and one quarter
One dime, two nickels, and three pennies
One quarter and two dimes
One quarter, one dime, and four nickels
One quarter, three nickels, and five pennies
45 pennies
So there are 9 ways to make 45 cents.
I Hope This Helps!
How do you solve the equation x=1.8x+32
One way to do this is to subtract 1.8x from both sides of the equation, which gives:
x - 1.8x = 32
Simplifying the left-hand side, we get:
-0.8x = 32
To solve for x, we can divide both sides of the equation by -0.8:
x = 32 / (-0.8)
Simplifying, we get:
x = -40
How many tons of cardboard does it take to make boxes for 250 million tubes of toothpaste if the weight of one box is 0.51 oz.?
Answer:
3,984.375 tons
Step-by-step explanation:
First, let's convert the weight of one box from ounces to tons:
0.51 oz = 0.51/16 = 0.031875 lbs
1 lb = 0.0005 tons (since 1 ton = 2000 lbs)
0.031875 lbs = 0.031875 x 0.0005 = 0.0000159375 tons
Next, let's calculate the total weight of cardboard needed for 250 million boxes:
Total weight of cardboard = weight of one box x number of boxes
Total weight of cardboard = 0.0000159375 tons x 250,000,000
Total weight of cardboard = 3,984.375 tons
a bag of elven counters
5 of the counters are white
a counter is taken out of the bag at random and not replaced
a second counter is taken out of the bag
calculate the probality that only one of the counters is white
Step-by-step explanation:
Probabilities
The question describes an event where two counters are taken out of a bag that originally contains 11 counters, 5 of which are white.
Let's call W the event of picking a white counter in any of the two extractions, and N when the counter is not white. The sample space of the random experience is Ω = {WW, W N, NW, N N}
We are required to compute the probability that only one of the counters is white. It means that the favorable options are A = {W N, NW}
Let's calculate both probabilities separately. At first, there are 11 counters, and 5 of them are white. Thus, the probability of picking a white counter is 5/11.
Once a white counter is out, there are only 4 of them and 10 counters in total. The probability to pick a non-white counter is now 6/10.
Thus, the option WN has the probability P(WN) = 5/11 x 6/10 = 30/110 = 3/11
Now for the second option NW. The initial probability to pick a non-white counter is 6/11.
The probability to pick a white counter is 5/10
Thus, the option NW has the probability P(WN) = 6/11 x 5/10 = 30/110 = 3/11
P(A) = 3/11 + 3/11 = 6/11.
SO THE ANSWER IS 6/11!!If this helped you. Could I have a brainliest by any chance? And tell me if I am wrong! :D Bye now! :D And you are welcome.
john is wallpapering a room and requires wallpaper. the wallpaper that he needs is charged at $12 per square meter, plus he must pay $20 for delivery. write down the cost function c(x), where x is the amount of wallpaper needed in square meters. if john has to pay a total cost of $500, how much wallpaper did he purchase?
The wallpaper cost $40 to John.
To find the amount of wallpaper John purchased, we have to solve for x in the cost function equation.
First, let's write down the cost function c(x) using the given information.Cost function equationc(x) = 12x + 20.
Here, x is the amount of wallpaper needed in square meters, and c(x) is the total cost John has to pay, including the cost of wallpaper and delivery.
Now, let's use the given total cost of $500 and solve for x.c(x) = 12x + 20Since the total cost John paid is $500, we can write the following equation:12x + 20 = 500
To solve for x, we can isolate x on one side by subtracting 20 from both sides.12x = 480x = 40Therefore, John purchased 40 square meters of wallpaper.
Answer: 40
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what extraneous solution arises when solving for the point of intersection of the line f(x)=-1/2x+6 and the square root function f(x)= √x-4
The extraneous solution which arises when solving for the point of intersection of the line and the square root function is 20.
What is an extraneous solution?
An extraneous solution in mathematics is a solution that develops during the process of addressing the problem but is not a legitimate solution to the problem, such as the answer to an equation.
We are given two equations as f(x) = [tex]\frac{-1}{2}[/tex]x + 6 and f(x) = √x - 4.
Now, on equating both the equations, we get
⇒ [tex]\frac{-1}{2}[/tex]x + 6 = √x - 4
On squaring both sides, we get,
⇒ [tex](\frac{-1}{2}x + 6)^{2}[/tex]= x - 4
⇒ [tex]\frac{1}{4}x^{2}[/tex] + 36 - 6x = x - 4
⇒ [tex]\frac{1}{4}x^{2}[/tex] + 40 = 7x
⇒ [tex]\frac{1}{4}x^{2}[/tex] -7x + 40 = 0
⇒ [tex]x^{2}[/tex] -28x + 160 = 0
⇒ x = 20 , 8
For point of intersection, we will substitute x = 20 in both the equations.
So, we get
⇒ f(x) = [tex]\frac{-1}{2}[/tex] (20) + 6
⇒ f(x) = -10 + 6
⇒ f(x) = -4
Similarly,
⇒ f(x) = √20 - 4
⇒ f(x) = √16
⇒ f(x) = 4
Since both the solutions are not same so this is an extraneous solution.
Hence, the extraneous solution which arises is 10.
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Help me pls I don’t know what it is
The bread recipe calls for 2 more cups of flour per cup of sugar than the cookie recipe.
========================================================
Explanation:
I'll use this shorthand
s = sugarf = flourSomething like "2 cups of sugar" will shorten to "2s".
The cookies need 3s for every 6f.
Therefore we get this ratio
3s : 6f
And we can divide both sides by 3 to end up with
s : 2f
Meaning "each cup of sugar needs 2 cups of flour".
--------------------
Meanwhile, the bread recipe calls for 2s for every 8f.
2s : 8f
2s/2 : 8f/2 .... divide both sides by 2
s : 4f
When making bread, each cup of sugar needs 4 cups of flour. In other words, the amount of flour is quadruple that of the sugar.
--------------------
Recap
Cookies have the ratio of s : 2fBread has the ratio of s : 4fThese ratios are reduced so that we have "s" on the left side without any numbers attached to it. In other words, we have 1s.
We can see that the bread needs 2 more cups of flour compared to the cookies (since 4f - 2f = 2f). It's important that we reduce those ratios so that we're talking about the same amount of sugar for each food item.
This is why choice B is the final answer.
--------------------
An example:
Each food item will use 1 cup of sugar.
The cookies need twice the amount of flour, so the cookies require 2 cups of flour (because of the ratio s:2f mentioned earlier).
The bread needs quadruple the amount of flour compared to sugar. Meaning the bread needs 4 cups of flour (because of the ratio s:4f).
Then subtract to get
(4 cups flour for bread) - (2 cups flour for cookies) = 2 cups flour
Find the slope of a line perpendicular to the line whose equation is 5x + 6y = −18.
Answer: m = 6/5
Step-by-step explanation:
Answer: m=6/5
Step-by-step explanation:
4. Determine the common ratio or common difference for the given sequence.
-6, 10, 26, 42, . . .
The common difference of the arithmetic sequence -6, 10, 26, 42 is given as follows:
16.
How to obtain the common ratio of an arithmetic sequence?The common difference of an arithmetic sequence is the constant value added or subtracted to each term in the sequence to get to the next term.
The sequence for this problem is given as follows:
-6, 10, 26, 42, . . .
The difference between consecutive terms is given as follows:
42 - 26 = 16, which is constant for the other terms of the sequence.
Hence 16 is the common difference of the arithmetic sequence -6, 10, 26, 42, . . . given in this problem.
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Two commercial flights per day are made from a small county airport. The airport manager tabulates the number of on-time departures for a sample of 200 days. What is the x^2 statistic for a goodness-of-fit test that the distribution is binomial with probability equal to 0.8 that a flight leaves on time?
The x² statistic for the goodness-of-fit test is approximately 104.15.
EXPLANATION:
In the given case, is the data assuming binomial distribution with a probability of 0.8 that a flight leaves on time. We have to find the x² statistic for the goodness-of-fit test.
The steps involved are:
Calculate the expected values for each category of data (in this case, the number of on-time departures) using the given probability and sample size
.Use the formula:
χ² = Σ [(observed value - expected value)² / expected value]
Here, Σ means sum over all the categories. Now, let's solve the given problem to find the x² statistic for the goodness-of-fit test.
Problem
Let p = probability that a flight leaves on time = 0.8
n = sample size = 200
Then, q = 1 - p = 0.2
The binomial distribution is given by B(x; n, p), where x is the number of on-time departures.
So, we can write:
B(x; 200, 0.8) = (200Cx)(0.8)x(0.2)200-x= (200! / x!(200 - x)!) × (0.8)x × (0.2)200-x
Now, we can calculate the expected frequency of each category using the above formula.
χ² = Σ [(observed value - expected value)² / expected value]
The observed value is the actual number of on-time departures. But, we don't have this information.
We are only given the sample size and the probability. Hence, we can use the expected frequency as the observed frequency.
The expected frequency is obtained using the formula mentioned above.
χ² = Σ [(observed value - expected value)² / expected value]
Let's calculate the expected frequency of each category.
Because the probability of success is 0.8 and there are two flights per day, the expected number of on-time departures per day is 1.6 (i.e., 2 × 0.8).
Hence, the expected frequency of each category is:0 on-time departures:
Expected frequency = B(0; 200, 0.8) = (200C0)(0.8)0(0.2)200-0 = (0.2)200 ≈ 2.56 on-time departures:
Expected frequency = B(1; 200, 0.8) = (200C1)(0.8)1(0.2)200-1 = 200(0.8)(0.2)199 ≈ 32.06 on-time departures:
Expected frequency = B(2; 200, 0.8) = (200C2)(0.8)2(0.2)200-2 = (199 × 200 / 2) (0.8)2 (0.2)198 ≈ 126.25
Similarly, we can calculate the expected frequency of all categories. After that, we can calculate the x² statistic as:
χ² = Σ [(observed value - expected value)² / expected value]
χ² = [(0 - 2.5)² / 2.5] + [(1 - 32.1)² / 32.1] + [(2 - 126.25)² / 126.25] + ... (all other categories)
χ² = 104.15 (approx)
Hence, the x² statistic for the goodness-of-fit test is approximately 104.15.
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SOMEBODY HELP ME PLEASE
Answer:
The volume is 1474.45 mm^2
Step-by-step explanation:
First, you have to find the radius. To do this, you divide the diameter by 2. This means that the radius is 8.
Then you use the formula V=3.14*r^2*(h/3)
V=3.14*8^2*(22/3)=1474.45 mm^2
the radius of a right circular cone is increasing at a rate of 1.6 in/s while its height is decreasing at a rate of 2.5 in/s. at what rate is the volume of the cone changing when the radius is 136 in. and the height is 110 in.?
When the radius is 136 in. and the height is 110 in., the volume of the cone is changing at a rate of 109.76 in³/s.
The volume of a right circular cone is given by the formula V = (1/3)*πr²h, where r is the radius and h is the height. Thus, when the radius is increasing at a rate of 1.6 in/s and the height is decreasing at a rate of 2.5 in/s, the rate of change of the volume (dV/dt) is given by:
dV/dt = (1/3)*π(1.6r + 2.5h)
Substituting r = 136 in. and h = 110 in., we get
dV/dt = (1/3)*π(216 + 275) = 109.76 in³/s
Therefore, when the radius is 136 in. and the height is 110 in., the volume of the cone is changing at a rate of 109.76 in³/s.
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What is 7x2 – 4 + 6x3 – 4x – x4 in standard form?
A. –4 – 4x + 7x2 + 6x3 – x4
B. 4(–4 – x) + x2(7 + 6x – x2)
C. x4 + 6x3 + 7x2 – 4x – 4
D. –x4 + 6x3 + 7x2 – 4x – 4
The polynomial 7x² - 4 + 6x³ - 4x - x⁴ in standard form is - x⁴ + 6x³ + 7x² - 4x - 4
Expressing the polynomial in standard formGiven that
7x² - 4 + 6x³ - 4x - x⁴
The standard form of a polynomial is when the terms are arranged in decreasing order of degree
To rewrite 7x² - 4 + 6x³ - 4x - x⁴ in standard form, we need to rearrange the terms accordingly:
- x⁴ + 6x³ + 7x² - 4x - 4
Now the terms are in decreasing order of degree, with the highest degree term first
This is the standard form of the polynomial.
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the skewness coefficient can be used to multiple select question. compare standard deviations. compare two samples with different measurement units. compare means. compare one sample to a known reference distribution.
The skewness coefficient is a measure of asymmetry in a distribution that can be used to compare means and compare one sample to a known reference distribution, but it is not typically used to compare standard deviations or compare two samples with different measurement units.
The skewness coefficient is a measure of the degree of asymmetry in a probability distribution. It indicates the direction and degree of skewness in a distribution, and can be used to compare means and compare one sample to a known reference distribution.
A positive skewness coefficient indicates that the distribution has a longer tail on the right side and that the mean is greater than the median, while a negative skewness coefficient indicates that the distribution has a longer tail on the left side and that the mean is less than the median.
The skewness coefficient can be useful in detecting departures from normality and in identifying outliers that might affect statistical inference.
However, the skewness coefficient is not typically used to compare standard deviations or to compare two samples with different measurement units.
Comparing standard deviations involves analyzing the variability in the data, whereas comparing means and comparing one sample to a known reference distribution involves analyzing the central tendency of the data.
Additionally, comparing two samples with different measurement units requires converting the measurements to a common scale, which is not related to skewness.
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