Final answer:
Quartiles are more reliable than mean and standard deviation for judging outliers because they are less affected by extreme values, making them a robust measure, especially for skewed distributions.
Explanation:
Quartiles are generally more reliable for judging outliers than mean and standard deviation because they are less sensitive to extreme values. While mean and standard deviation can be significantly affected by a single outlier, quartiles, particularly the Interquartile Range (IQR), measure the spread of the middle 50 percent of the data, thus minimizing the impact of outliers. The IQR is calculated by subtracting the first quartile (Q1) from the third quartile (Q3), which defines the range where the central half of the data points lie.
Outliers are typically identified using criteria based on the IQR, such as data points that fall below Q1 - 1.5*IQR or above Q3 + 1.5*IQR. Compared to standard deviation, which is affected by the skewness of the data, quartiles present a more robust measure, especially in skewed distributions. Therefore, quartiles offer a more resistant and accurate way of identifying outliers and understanding the data's spread without being unfairly influenced by extreme values.
Given the expression,y = 2x^2/ x + 4, choose the correct vertical asymptote.
What is the surface area of a cylinder whose radius is 3 inches and whose height is 10 inches? Round to the nearest tenth.
SA = 2π r2 + 2π rh
A. 226.1 square inches
B. 241.8 square inches
C. 244.9 square inches
D. 543.3 square inches
in 2003, a gallon of gas cost $1.75. In 2013 a gallon of gas cost $3.25. Write an equation to model this situation.
To model the situation of the gas prices in 2003 and 2013, we can use a linear equation. The equation to model this situation is y = $0.15x - $298.70.
Explanation:To model the situation of the gas prices in 2003 and 2013, we can use the equation of a linear relationship between the year (x) and the cost of gas (y). We can use the formula y = mx + b, where m is the slope and b is the y-intercept.
First, let's find the slope (m):
The change in cost of gas is $3.25 - $1.75 = $1.50The change in years is 2013 - 2003 = 10Therefore, the slope (m) is $1.50 / 10 = $0.15.
Next, let's find the y-intercept (b):
Using the point (2003, $1.75), we can substitute the values into the equation and solve for b:$1.75 = $0.15(2003) + b
b = $1.75 - $0.15(2003)
b = $1.75 - $300.45
b = -$298.70
Therefore, the equation to model this situation is y = $0.15x - $298.70, where x is the year and y is the cost of gas.
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Deidre is 5 feet 4 inches tall and her weight is 135 pounds. her bmi is closest to _____ kg/m2.
A new truck that sells for $25,000 depreciates (decreases in value) 11% each year. What will be the value of the truck in 2 years
Answer:
Price of Truck after 2 year = $ 19802.50
Step-by-step explanation:
Given: Price of truck = $ 25,000
Price depreciate at rate of 11% in a year
To find: Price of truck after 2 years
If we let Price of truck to be P = $ 25000
And Rate of deprecation to be R = 11%
And time to be n = 2
now by using formula of deprecation, we get
[tex]A=P\times(1-\frac{R}{100})^n[/tex]
[tex]A=25000\times(1-\frac{11}{100})^2[/tex]
[tex]A=25000\times0.7921[/tex]
A = $ 19802.50
Therefore, Price of Truck after 2 year = $ 19802.50
a store manager orders t-shirts so that 15 out of every 35 are medium. how many medium t-shirts would you expect to find when there are 105 t-shirts on the rack. explain how to get
Bill Payne visits his local bank to see how long it will take for $1,000 to amount to $1,900 at a simple interest rate of 12 ½%. Provide Bill with the solution to his problem in years. A. 6.5 years B. 7.2 years C. 12.5 years D. 10.2 years
Find the quotient. Show all work for full credit. 4+2i/6-i
The quotient of 4+2i/6-i is (11/4-4i)/*1/5.
What is quotient?Quotient is a result obtained by dividing one quantity by another.
explanation;
(4-2i)/(6-i)
Multiply and divide by the denominator = (6+i)
=>(4-2i)/(6-i)/(6+i)(6+i)
=> (4*6 + 4i - 12i - 2i^2)/[6^2 - (2i)^2]
=> (24 - 8i -2)/ [36 + 4] [since i^2 = -1]
=> (22-8i) /40
=> 22/40 - 8i/40
=> 11/20 - i/5
Hence, the quotient of 4+2i/6-i is (11/4-4i)/*1/5.
A ratio is an ordered pair of numbers a and b, written a / b in which b does no longer identical zero. A proportion is an equation wherein ratios are set equal to each other. The share components is used to depict if two ratios or fractions are same. we can find the lacking fee by dividing the given values. the proportion formula can be given as a: b::c : d = a/b = c/d wherein a and d are the acute terms and b and c are the mean phrases.
The quantitative relation among two quantities showing the number of times one cost consists of or is contained inside the other. The indicated quotient of two mathematical expressions. b : the connection in quantity, quantity, or size among or more matters.
A ratio can be defined as the connection or assessment among two numbers of the same unit to check how larger is one variety than the alternative one. as an instance, if the quantity of marks scored in a take a look at is 2 out of 5, then the ratio of marks received to the total range of marks is written as 2:5.
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The relative frequency of a car travelling through a road junction having exactly two occupants is 0.26.If 5,000 cars are observed passing through the junction, how many of the cars could be expected to have only two occupants?
Find the volume of the composite solid. Round your answer to the nearest hundredth.
A.239.24cm^3
B.246.08cm^3
C.294.03cm^3
D.308.78cm^3
Write the next two terms in the pattern. 3, 10, 17, 24, . . .
10-3 =7
each term increases by 7
so 24 +7 = 31
31+7 = 38
next 2 terms are 31 & 38
The african bush elephant weighs between 4.4 tons and 7.7 tons. What are its least and greatest wieghts rounded to the nearest ton
Um cone reto tem 24cm de altura e o raio da base é igual a 18cm. Calcule
A) a medida de sua geratriz
B) a área total lateral (aproximadamente)
C) a área total (aproximadamente)
+volume
A boat makes a 120-mile trip downstream in 3 hours but makes the return trip in 4 hours. What is the rate of the current?
3 mph
4 mph
5 mph
Answer:
Speed of current = 5 mph
Step-by-step explanation:
Let u be the speed of boat and v be the speed of current.
A boat makes a 120-mile trip downstream in 3 hours.
120 = 3(u+v)
u + v = 40
It makes the return trip in 4 hours.
120 = 4(u-v)
u - v= 30
Adding both equations
u + v + u - v = 40+30
2u = 70
u = 35 mph
35 + v = 40
v = 5 mph
Speed of current = 5 mph
How is an emulsion different from a solution?
:The components are mixed unevenly instead of evenly within the emulsion.
:Insoluble instead of soluble particles are suspended within the emulsion.
:Two liquids that normally are not mixable are mixed in the emulsion.
:The components of an emulsion are single elements or compounds instead of a mixture of compounds.
Complete the square: x2 – 6x + ____ = –13 + ____
Help Please!!!
The complete expression for the given equation is x^2 - 6x + 9= -13 +9
Complete the squareGiven the quadratic expression x^2 - 6x = -13
In order to complete the square, we will follow the steps
Coefficient of x is -6
Half of the coefficient. = (-6/2) = -3
Square of the result = (-3)^2 = 9
Add 9 to both sides of the equation
x^2 - 6x + 9= -13 +9
Hence the complete expression for the given equation is x^2 - 6x + 9= -13 +9
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Six students measure the acceleration (in meters per second per second) of an object in free fall. The measured values are: 10.56, 9.52, 9.73, 9.80, 9.78, 10.91.The students want to state that the absolute deviation of each measured value xfrom the mean is at most
d. Find the value of
d.
14-3x=4x solve and explain
What is the average of 5.24,6.875,3.298,5.7,4.98? Round the answer to 2 decimal points
8 less than one third of x is y
Which transformation is not isometric?
2.What is the correct equation of the line shown below ?
The equation of the line shown is y = (3/2)x + 3.
What is the equation of line?The general equation of a straight line is
y = mx + c,
where m is the gradient or slope, and
y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
Now given points from the line passes are (0,3) and (-4,-3)
Therefore we have,
x₁ = 0
y₁ = 3
x₂ = -4
y₂ = -3
Now since the slope of the line is given as,
m = (y₂ - y₁)/(x₂ - x₁)
⇒ m = (-3 - 3)/ (-4-0)
⇒ m = -6/(-4)
⇒ m = 6/4
or, ⇒ m = 3/2
Now, for intercept c we can put any of points in the equation of line.
So, put (0,3)in the equation of line
3 = m(0) + c
3 = 0 + c
⇒ c = 3
Hence the required equation of line is given as,
y = mx + c
put the values of m and c,
y = (3/2)x + 3
which is the required equation of the line shown
Hence,the equation of the line shown is y = (3/2)x + 3.
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Let r1 and r2 be relations on a set a represented by the matrices mr1 = ⎡ ⎣ 0 1 0 1 1 1 1 0 0 ⎤ ⎦ and mr2 = ⎡ ⎣ 0 1 0 0 1 1 1 1 1 ⎤ ⎦. find the matrices that represent
a.r1 ∪ r2.
b.r1 ∩ r2.
c.r2 ◦r1.
d.r1 ◦r1.
e.r1 ⊕ r2.
The operation results on the matrices representing relations r1 and r2 are beautiful illustrations of how relations are manipulated in set theory. Given the limitations imposed by the data available, only three of the five stipulated operations can be carried out.
Explanation:In the given question, the student needs to perform different operations on the matrices that represent relations r1 and r2. Here is the solution:
r1 ∪ r2 (Union of r1 and r2): It's obtained by taking the union of the corresponding elements in the two matrices. If either or both of the matrices have a 1 in a position, then put a 1, else 0. So the matrix for r1 ∪ r2 is ⎡ ⎣ 0 1 0 1 1 1 1 1 1 ⎤ ⎦ r1 ∩ r2 (Intersection of r1 and r2): It's obtained by taking the intersection of the corresponding elements in the two matrices. If both of the matrices have a 1 in a position, then put a 1, else 0. So the matrix for r1 ∩ r2 is ⎡ ⎣ 0 1 0 0 1 1 1 0 0 ⎤ ⎦ r2 ◦r1 (Composition of r2 and r1): If there exists an element in the set such that (a, b) is in r1 and (b, c) is in r2, then put a 1 in A[ac] else put a 0. Due to this, the matrix comprehension is studied in higher mathematics, and it can't be calculated from the given matrices. r1 ◦r1 (Composition of r1 and r1): Same as the previous operation but with both relations being r1. It also requires the full set of elements to calculate and can't be derived from the given matrices. r1 ⊕ r2 (Symmetric difference of r1 and r2): It is obtained by taking the XOR of each element in the matrices. So if the two elements are the same, put a 0, else put a 1. So the matrix for r1 ⊕ r2 is ⎡ ⎣ 0 0 0 1 0 0 0 1 1 ⎤ ⎦ Learn more about Matrix Operations here:
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A map has a scale of 1 cm : 11.5 km. Two cities are 5.5 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?
multiply 5.5 cm by 11.5 km
5.5 * 11.5 = 63.25
rounded to nearest tenth = 63.3 km
PLEASE HELP
Solve for x.
−32>−5+9x
Enter your answer, as an inequality, in the box.
Inequality is a statement of an ordered relationship
The value of x as inequality is less than -3.
x < -3 is our answer.
What is inequality?It is a statement of an ordered relationship
- greater than,
- greater than or equal to,
- less than,
- less than or equal to between two numbers or algebraic expressions.
Example:
x > 3
y < 5
x ≤ 6
y ≥ 2
We have,
-32 > -5 + 9x
Add 5 on both sides.
-32 + 5 > -5 + 9x + 5
[ -32 + 5 = -27 ]
-27 > 9x
Divide both sides by 9.
-27/9 > 9x/9
-9 x 3 / 9 > 9x / 9
-3 > x
This can be written as:
x < -3
Thus,
The value of x as inequality is less than -3.
i.e x < -3
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The domain for f(x) and g(x) is the set of all real numbers. Let f(x) = 2x2 + x − 3 and g(x) = x − 1. Find f(x) • g(x).
A. 2x3 − x2 + 4x − 3
B. x2 − 4x + 3
C. 2x3 − x2 − 4x + 3
D. 2x3 − 4x2 + 3
Ronald walks from home to Taco Bell to eat everyday. It takes him 30 minutes to walk the 2 mile distance. A) write a function for Ronald’s wall. Let x be the number of minutes he walks.
B) what should the domain of the function be?
Sharon needs 64 credits to graduate from her community college. So far she has earned 24 credits. What percent of the required credits does she have?
A percentage is a number or ratio expressed as a fraction [tex]100[/tex]. Hence, Sharon has [tex]12.5[/tex]% of the credits required.
What is the percentage?
A percentage is a number or ratio expressed as a fraction [tex]100[/tex]. It is often denoted using the percent sign, "%".
Here given information:-
Sharon needs [tex]64[/tex] credits and he earned [tex]24[/tex] credits.
So,
[tex](\frac{24}{64})[/tex]×[tex]100[/tex][tex]=\frac{1}{8}[/tex]×[tex]100[/tex]
[tex]=0.125[/tex]×[tex]100[/tex]
[tex]=12.5[/tex]%
Hence, Sharon has [tex]12.5[/tex]% of the credits required.
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On average, how many times must a 6-sided die be rolled until a 6 turns up twice in a row?
Help me i hate word problems