Standard deviation affects the skewness more.
For skewed data, which should you use: IQR or standard deviation?In data sets containing outliers or skewed distributions, the interquartile range is the most accurate indicator of variability. It's unlikely to be impacted by outliers because it's based on numbers that come from the center half of the distribution.
What are IQR and Standard Deviation?A measure of dispersion that demonstrates how closely a set of data's values resemble the mean is called standard deviation.
Outliers in a data set or a skewed data distribution might have an impact on the standard deviation.
Interquartile Range (IQR) is a spread indicator that depicts the variation between a data set's first and third quartiles.
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A cooler contains ten bottles of sports drink: five lemon-lime flavored and five orange flavored. You randomly grab a bottle and give it to your friend. Then, you randomly grab a bottle for yourself. Your friend gets a lemon-lime and you get an orange.
The probability of your friend getting a lemon-lime-flavored drink and you getting an orange-flavored drink is 5/18.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
The first bottle you grabbed had a 5/10 chance of being lemon-lime and a 5/10 chance of being orange.
After you gave your friend a lemon-lime, there were 4 lemon-lime drinks and 5 orange drinks left in the cooler. So, the probability of you grabbing an orange drink was 5/9.
Multiplying these probabilities gives the final answer of (5/10) × (5/9) = 25/90 = 5/18.
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The question seems incomplete, the complete question would be as:
A cooler contains ten bottles of sports drinks: five lemon-lime flavored and five orange flavored. You randomly grab a bottle and give it to your friend. Then, you randomly grab a bottle for yourself. Your friend gets a lemon-lime and you get an orange.
What is the probability of this happening?
If you qualify they offer a 12.9% APR what would the monthly periodic interest rate be?
Answer:
1.075%
Step-by-step explanation:
You want the monthly periodic rate corresponding to an APR of 12.9%.
Monthly rateThere are 12 months in a year, so the monthly rate is 1/12 of the annual rate:
12.9%/12 = 1.075%
The monthly periodic rate is 1.075%.
__
Additional comment
The APR does not take compounding into account, so the effective annual rate may be higher.
A school has 120 students. On Friday, 72 students went on a field trip. What percent of the students did NOT go on the field trip?
The percentage of the students who did not go on the trip will be 40%.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that a school has 120 students. On Friday, 72 students went on a field trip.
The number of the students who did not go to the trip are:-
N = 120 - 72 = 48
The percentage will be calculated as:-
Percentage = 48 / 120
Percentage = 0.4 x 100
Percentage = 40%
Therefore, the total of 40% of the students will not have attended the trip.
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13) show all ur steps equation
The solution of the system of equation are y=4/9x-5 and 1/9x-2y=-4 is x=18 and y=3.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The system of equation are:
y=4/9x-5..(1)
1/9x-2y=-4..(2)
Substitute 1 in equation 2
1/9x-2(4/9x-5)=-4
1/9x-8/9 x+10=-4
x/9(1-8)+10=-4
x/9(-7)+10=-4
Substitute 10 on both sides
-7x/9=-4-10
-7x/9=-14
-7x=-126
Divide both sides by 7
x=126/7
x=18
Now plug in x value in equation 1
y=4/9(18)-5
y=8-5
y=3
Hence, the solution of the system of equation are y=4/9x-5 and 1/9x-2y=-4 is x=18 and y=3.
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someone rolls a fair six-sided die and you win points equal to the number shown. what is the expected number of points after one roll?
If you roll a fair six-sided die, you will receive the indicated number of points. After one roll, 3.5 points should be expected.
A six-sided cube with the digits 1-6 printed on the faces is the most popular type of die. The value of the roll is indicated by the number of "spots" that are visible at the top. The opposite faces on the six-sided die are positioned so that they always add up to seven. The word "die" is derived from Old French and Latin datum, which means "anything provided or played." The names of the numbers are preferable, but some seasoned gamblers still refer to the different sides of the dice by using the terms ace, deuce, trey, cater, cinque, and dice.
Add up all of the die's pips., [tex]1+2+3+4+5+6=21[/tex].
The likelihood of a specific face being up on any roll of a single die is [tex]1/6[/tex].
After one roll, the anticipated number of points is [tex]21/6= 3.5[/tex]
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I need help now please
Answer:i think the answers 4 im not sure
Step-by-step explanation:
(PLEASE ANSWER-)
Given the equation five eighths plus h equals eleven over eight, determine the value of h.
six eighths
sixteen over eighteen
fifty five over sixty four
eight over six
The value of h in the equation five eighths plus h equals eleven over eight is six eighths
How to solve an equation?An equation is a mathematical expression that contains two or more numbers and variables linked together by mathematical operations such as exponents, multiplication, division, addition, subtraction and so on.
Given the equation five eighths plus h equals eleven over eight, it is represented as:
(5/8) + h = 11/8
multiply the both sides of the equation by 8:
(5/8) * 8 + h * 8 = (11/8) * 8
5 + 8h = 11
subtract 5 from both sides:
5 + 8h - 5 = 11 - 5
8h = 6
divide both sides by 8:
8h/8 = 6/8
h = 6/8
The value of h is 6/8
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At summer camp, 50 students are divided in two groups for swimming or hiking. Each camper flips a coin, where heads represents swimming and tails represents hiking. Outcome Frequency Swimming 23 Hiking 27 Compare the probabilities and determine which statement is true. The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 23 over 27. The theoretical probability of swimming, P(swimming), is 23 over 27, but the experimental probability is one half. The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 23 over 50. The theoretical probability of swimming, P(swimming), is 23 over 50, but the experimental probability is one half.
The true statement on probability is C. The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 23 over 50.
How does theoretical probability compare to experimental ?The theoretical probability of an occurrence indicates its propensity to occur. The theoretical probability of receiving heads is 1/2 since we know that flipping a coin has an equal chance of landing heads or tails. The frequency of an event actually occurring in an experiment is referred to as its experimental probability.
The theorectical probability of swimming is 1 / 2 because it is either heads or tails. However, the experimental probability of swimming is:
= Number of swimmers / Total number of students
= 23 / 50
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uppose you are given a grant to run a controlled experiment. explain how you would structure the experiment in order to estimate the causal effect of hours on sat. consider the more realistic case where students choose how much time to spend in a preparation course, and you can only randomly sample sat and hours from the population. write the population model as
Population model: Y = β0 + β1X + ε, where Y is the SAT score, X is the number of hours spent in the preparation course, β0 is the intercept, β1 is the causal effect (the effect of hours on SAT), and ε is the error term.
To estimate the causal effect of hours of preparation on the SAT score, we would structure a controlled experiment as follows:
Define the population: Our population of interest would be all students who plan to take the SAT and who have access to a preparation course.Select a sample: We would randomly sample a group of students from the population who are planning to take the SAT and have access to a preparation course. This would ensure that the sample is representative of the population and eliminates the possibility of selection bias.Assign treatment: The treatment in this case would be the number of hours spent in the preparation course. We would randomly assign half of the students to receive a set number of hours in the preparation course and the other half would receive a different set number of hours. This random assignment would ensure that any difference in SAT scores between the two groups can be attributed to the number of hours spent in the preparation course.Measure outcomes: After the treatment (number of hours in the preparation course), we would measure the SAT scores for each student in both groups.Estimate the causal effect: The causal effect of the treatment (hours spent in the preparation course) on the outcome (SAT score) can be estimated by comparing the average SAT scores between the two groups of students.Population model: Y = β0 + β1X + ε, where Y is the SAT score, X is the number of hours spent in the preparation course, β0 is the intercept, β1 is the causal effect (the effect of hours on SAT), and ε is the error term. This model assumes that the causal relationship between hours and SAT score is linear and that the effect of hours on SAT score is constant for all students in the population.
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Simplify the expression:
[tex]1+\frac{1}{1+\frac{1}{1+1}}[/tex]
The given expression can be written as in the simplified form, 5/3
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
The expression,
[tex]1 + \frac{1}{1+ \frac{1}{1+1} }[/tex]
It can be solved by various steps,
First step,
1/(1+1) can be written as 1/2
[tex]1 + \frac{1}{1+ \frac{1}{2} }[/tex]
Second step,
1 + 1/2 can be written as 3/2
[tex]1 + \frac{1}{\frac{3}{2} }[/tex]
Now, 1/(3/2) can be written as 2/3
[tex]1 + \frac{2}{3}[/tex]
Further, it can be written as,
5/3
Hence, the simplified form is 5/3
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when digitizing a recording of a musical performance, which of the following strategies will result in a more accurate digital representation of the original music? select two answers. increasing the sampling rate of the music being digitized increasing the volume of the music being digitized increasing the speed of the music that is being digitized increasing the bit depth of the music being digitized
When digitizing a recording of a musical performance, two strategies that will result in a more accurate digital representation of the original music are:
Increasing the sampling rate of the music being digitized: The sampling rate is the number of samples of the analog audio waveform taken per second. The higher the sampling rate, the higher the frequency range that can be captured, resulting in a more accurate representation of the original sound.
Increasing the bit depth of the music being digitized: The bit depth is the number of bits used to represent each sample of the audio waveform. The higher the bit depth, the greater the number of possible levels of amplitude that can be captured, leading to a more accurate representation of the original analog waveform and a clearer, more dynamic digital audio file.
Increasing the volume of the music being digitized and increasing the speed of the music that is being digitized do not necessarily result in a more accurate digital representation of the original music.
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Please help me I am really confused and need help with this.
Answer:
Step-by-step explanation:
y=10
Question: Use The General Slicing Method To Find The Volume Of The Following Solid The Solid With A Semicircular Base Of Radius 15 Whose Cross Sections Perpendicular To The Base And Parallel To The Diameter Are Squares The Volume Of The Solid Is Cubic Units (Type An Exact Answer)
The volume of the solid is 9375 cubic units with a semicircular base of radius 15 and square cross sections perpendicular to the base and parallel to the diameter.
What is Perpendicular?Many perpendicular lines may be seen in nature. The sides of a set square, the arms of a clock at different times of the day, the corners of a blackboard, a window, and the Red Cross emblem are other examples.
Here,
Let x be the height of the washer and h be the width of the square part of the washer. Then, the radius of the circular hole in the washer is 15 - x, so the width of the washer is 2 * (15 - x). The volume of each washer is then given by:
V = π * (15 - x)^2 * x + h^2 * x
where h^2 = (2 * (15 - x))^2
Expanding h^2, substituting into the expression for V, and simplifying, we get:
V = π * (15 - x)^2 * x + 4 * (15 - x)^2 * x
= 5πx(15 - x)^2
The total volume of the solid is given by the definite integral of V from 0 to 15:
V = 5π ∫_0^15 x(15 - x)^2 dx
This integral can be evaluated using integration by substitution. Let u = 15 - x, so that du = -dx and x = 15 - u. Then:
V = 5π ∫_0^15 (15 - u) * u^2 * (-du)
= 5π ∫_15^0 u^2 * (15 - u) du
= 5π * [u^3/3 * (15 - u) - u^2/2 * (15 - u)^2 + u * (15 - u)^3/3]_0^15
= 5π * (225/3 - 15 * (225/2) + (15^4)/4)
= 5π * (225/3 - 3375/2 + 3375)
= 5π * (5625/3)
= 9375π
So the volume of the solid is 9375 cubic units of the solid with a semicircular base of radius 15 and cross sections perpendicular to the base and parallel to the diameter that are squares.
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what is 9.3488 rounded to the nearest thenth
Answer:
The number 9.3488 rounded to the nearest tenth is; 9.3
Step-by-step explanation:
pls, tell me if wrong have a good day/night<3
largst possible value of x and smallest possible value of x
Answer:
the largest possible value for x is 6
the smallest possible value for x is 1
Step-by-step explanation:
Jetta mixes 5 parts of cranberry juice
Answer:
ok
Step-by-step explanation:
find a nonzero vector orthogonal to the plane through the points p, q, and r.
The nonzero vector orthogonal to the plane through the points P, Q, and R is [-8/13, -8/13, -12/13].
How we get nonzero vector?To find a nonzero vector orthogonal to the plane through the points P, Q, and R, we can use the cross product of two vectors that lie in the plane.
Let's find the vectors PQ and PR, which can be found by subtracting the coordinates of P from the coordinates of Q and R:
According to question:PQ = Q - P = (-2, 1, 3) - (1, 0, 1) = (-3, 1, 2)
PR = R - P = (4, 2, 5) - (1, 0, 1) = (3, 2, 4)
Next, we'll take the cross product of these two vectors to find a vector orthogonal to the plane:
n = PQ x PR =
[(1)(4) - (2)(2), (2)(-3) - (3)(1), (3)(3) - (2)(-2)]
= [-8, -8, -12]
This vector is orthogonal to the plane through the points P, Q, and R. To make it a nonzero vector, we can scale it to have magnitude 1:
n = [-8, -8, -12] / sqrt((-8)^2 + (-8)^2 + (-12)^2) = [-8/13, -8/13, -12/13]
So, the nonzero vector orthogonal to the plane through the points P, Q, and R is [-8/13, -8/13, -12/13].
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Complete the conversion using dimensional analysis.
8.9 g = _______ dg
After performing dimensional analysis we get there are 89 decigrams in 8.9 grams
What is dimensional analysis?Dimensional analysis is the analysis of the relationships between different physical quantities by identifying their base quantities and units of measure and tracking these dimensions as calculations or comparisons are performed.
Given that, we need to change the unit of 8.9 grams into decigram.
We know that,
1 g = 10 dg
Dimensional Analysis Formula
1 g × 10 dg / 1 g = 10 dg
Therefore,
8.9 g × 10 dg / 8.9 g
= 8.9 × 10 dg
= 89 dg
Hence, After performing dimensional analysis we get there are 89 decigrams in 8.9 grams
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A cylinder has a radius of 5 millimeters, and a height of 9 millimeters. What is the cylinder's exact volume?
Answer:
hi !!!
Step-by-step explanation:
Vcylinder = pi*radius*radius*height= pi*25*9= 706.5 cubic milimeters = 7.065 cubic centimenter
Use a trigonometric ratio 16° and 38to find the value of x. Round your answer to the nearest tenth.
In the right triangle ABC the value of x will be 24.7 and this can be determined by using the trigonometric function.
What is trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
here, we have,
Given :
The right-angle triangle ABC.
AB = x
BC = 9
now,
The Trigonometric function can be used to determine the value of 'x'. The tangent function is an important trigonometric function that can be used to determine the value of 'x'.
The tangent function is given by the equation:
tanФ = P/B
where P is the perpendicular and B is the base of the given triangle.
Now, substitute the values of P, Ф, and B in the above equation.
tan 20 = 9/x
solving we get,
x = 24.72
(to the nearest tenth)
So, by using the trigonometric ratio the value of x is 24.7.
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a round-trip airline ticket to las vegas on southwest is normally $200. this week, the ticket is 12.5% off. what is the price of the round-trip ticket to las vegas this week? a round-trip airline ticket to las vegas on southwest is normally $200. this week, the ticket is 12.5% off. what is the price of the round-trip ticket to las vegas this week? $180 $175 $185 $170 $140
The price of a round-trip ticket to Las Vegas on Southwest this week is 175 after applying a 12.5% discount.
The formula used to calculate the price of a round-trip airline ticket to Las Vegas on Southwest this week is Price = Original Price - Percentage Discount x Original Price. The original price of the ticket is $200 and it is 12.5% off this week. Therefore, the calculation of the price of the ticket this week is Price = 200 - 0.125 x 200 = 175. This means that the price of the round-trip ticket to Las Vegas this week is 175.
The 12.5% discount is calculated by taking the percentage discount and multiplying it by the original price. This result is then subtracted from the original price to get the discounted price. For example, if the original price of the ticket is 200 and the discount is 12.5%, then the calculation is 200 - 0.125 x 200 = 175. Therefore, the discounted price of the ticket this week is 175.
In conclusion, the price of a round-trip ticket to Las Vegas on Southwest this week is 175 after applying a 12.5% discount. The discount is calculated by taking the percentage discount and multiplying it by the original price, and then subtracting that result from the original price.
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Lines a and b are parallel and lines e and f are parallel.What is the value of x?A)8B)82C)98D)172
Because lines a and b are parallel and lines e and f are parallel, the value of "x" is 82 degrees.
What is parallel lines?Parallel lines are coplanar infinite straight lines that do not cross at any point in geometry. Parallel planes are planes that never intersect in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance. Parallel lines are lines that are always the same distance apart in a plane. Parallel lines never cross. Perpendicular lines are those that connect at a straight angle (90 degrees). Parallel lines are lines in a plane that never intersect, no matter how far they are extended. The distance between the parallel lines is continuous since they never intersect.
Here,
Remember that vertical angles are generated by crossing lines that form two non-adjacent angles. These angles are congruent because they have the same vertex.
Take a look at the attached figure. Because lines "a" and "b" are parallel, the angles 82° and x° are vertical angles. As a result, they are congruent.
The value of "x" is 82 degree as lines a and b are parallel and lines e and f are parallel.
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if a researcher's question is about reasons for an increase in the birth rate in phoenix, az, then the dependent variable is
The dependent variable in this research question is the birth rate in Phoenix, AZ.
This can be represented mathematically as B, where B represents the birth rate in Phoenix, AZ. We can calculate the birth rate by taking the total number of live births in Phoenix, AZ (L) and dividing it by the total population in Phoenix, AZ (P), and then multiplying by 1,000. B = (L/P) * 1000.
For example, if there were 10,000 live births in Phoenix, AZ in a given year, and the population of Phoenix, AZ in that same year was 2,500,000, then the birth rate in Phoenix, AZ would be dependent variable as follows: B = (10,000/2,500,000) * 1000 = 4. This would mean that the birth rate in Phoenix, AZ is 4 births per 1,000 individuals.
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Complete question:If the researcher's question is "What are the reasons for an increase in the birth rate in Phoenix, AZ?", then the dependent variable is the birth rate in Phoenix, AZ.
A container of fuel dispenses fuel at the rate of 5 gallons per second. If y represents the amount of fuel remaining in the container, and x represents the number of seconds that have passed since the fuel started dispensing, then x and y satisfy a linear relationship. Complete the statement about the slope of the line representing that relationship in the coordinate plane.
The slope will be , 1 of 2.
Select Choice
because the amount of fuel in the tank is , 2 of 2.
Select Choice
.
The slope of the line representing that relationship in the coordinate plane is -5.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given:
A container of fuel dispenses fuel at the rate of 5 gallons per second.
If y represents the amount of fuel remaining in the container, and x represents the number of seconds that have passed since the fuel started dispensing, then x and y satisfy a linear relationship.
The linear equation is,
y = -5x.
And the slope is -5.
Therefore, the slope is -5.
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Rod decided to give his staff a 12 % increase on their salaries. These are the salaries of some of the staff before their increase what will their salary be after the increase in a paper of grade 8 Mathematics CAPS sharp
The proportional equation that represents the salary of each person after the raise is given as follows:
y = 1.12x.
How to obtain the proportional equation?The raise to the salary of each staff member is given as follows:
12%.
Hence the percentage of the salary after the raise is given as follows:
100 + 12 = 112%.
Meaning that the multiplier is of:
1.12.
Then the equation is given as follows:
y = 1.12x.
In which:
y is the new salary.x is the old salary.Missing InformationThe problem asks for the proportional equation that represents the salary of each person after the raise.
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HELP ME WILL GIVE 100 PTS/BRAINLIEST
this test ends in 20 minutes help me please!
What relation is displayed on the table?
{(3,3)(3,7)(5,8)(9,0)}
{(3,3)(7,3)(8,5)(0,9)}
{(3,3)(3,7)(5,9)(8,0)}
{(3,3)(7,3)(5,8)(9,0)
The relation is displayed on the table is A. {(3,3)(3,7)(5,8)(9,0)}.
About relation in mathRelation is something that expresses a special relationship or connection between two sets. Relations are closely related to functions, where both are important in various branches of mathematics.
Functions in mathematics are different from understanding in everyday life. In everyday terms, function can be interpreted as a use or benefit.
A mathematician named Gottfried Wilhelm Leibniz (1646-1716), introduced that functions are used to express a relationship. Regarding this matter, the function can be interpreted as something special about a relation between two sets
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Please help me!!!! Will mark brainliest!!!
Answer: i believe its D
Step-by-step explanation:
The first one is a reflection - witch is the answer so D
What happens when a penny is dropped from a height of 20 meters?
It falls at a constant velocity.
It changes direction every 9.8 meters.
Its mass doubles for every second it falls.
The force of gravity causes it to accelerate.
Because of gravity, the item accelerates continuously. The ball took 2 seconds to reach the ground, hence option (d) is accurate.
What is a measurement in meters?The metric system and the International Systems in Units both use the metre (m), also spelt as meter, as the basic unit of length (SI). Inside the British Imperial & American Customary systems, it is equivalent to around 39.37 inches.
Do meters and metric the same thing?Metric is the preferred word outside of North America for the measuring unit that is equivalent to about 1.094 yards, with American spelling being meter. Metric in American English and Metric everywhere else are terminology used in music and poetry respectively.
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Marty makes 3 plates of cookies there are 13 cookies on each plate Marty eats 4 of the cookies which shows how many cookies are left
Factor The Expression:
[tex]\frac{1}{5}x + \frac{3}{5}[/tex]
(Please help I have a C+ in Math)
Answer:
x+3/5
Step-by-step explanation:
i have the same grade in my level math