What is the interquartile range (IQR) of the data set represented by this box
plot?
2
12
30
45
52
A.15
B.33
C.18
D.52
Answers
Answer:
The IQR (interquartile range) of the data set represented by this box plot is 22 units.
Step-by-step explanation:
Each number of the data set represented as a box plot is something the numbers have individually. The lowest number there (the first number), 38, is called the minimum. The highest number there (the last number), 75, is called the maximum. The second number there, 45, is called the lower quartile. The third number there, 50, is called the median or middle quartile. The fourth number there, 67, is called the higher quartile. In order to find the interquartile range, you need to find the difference between the lower quartile and higher quartile, which means to subtract.
67 (highest quartile) - 45 (lower quartile) = 22 (interquartile range)
Therefore, the IQR (interquartile range) of the data set represented by this box plot is 22 units.
Related Questions
Natasha can run 5 km in 20 minutes. Eli can run 8 km in 32 minutes. Who is the faster runner? Explain you're thinking.
Answers
Answer:
Neither
Step-by-step explanation:
Find the unit rate
20/5 = 4/1
32/8 = 4/1
Neither
What number of learners are present in a class of 30 if y learners are absent today?
Answers
Answer:
(30-y) learners are present.
36 unit squares are joined to form a rectangle with the least perimeter. Perimeter of the rectangle is
Answers
Answer:
Option (b) is correct.
Area of rectangle is 36 units
We have,
⇒36=6×6
=2×3×3×2
=4×9
Hence, the sides of a rectangle are 4cm and 9cm
Perimeter =2(l+b)
=2(4+9)
=13×2
=26units
Solve the linear equation for x.
-4.8(6.3x-4.18)=58.56
Answers
Answer: 2.6
Step-by-step explanation: On Edge!!!!!!!!!!!!!!!!!!!!!!
Answer:
2.6
Step-by-step explanation:
edge
Mrs. Watson wants to buy some dresses for her trip to Houston. There are three boutiques, each offering a different deal.
Table
Lara's Boutique 4 dresses for $64
The Dress Shop 5 dresses for $75
Marge's Dresses 8 dresses for $160
Which boutique has the best deal for dresses?
A. Both Marge's Dresses and Lara Boutique
B. The Dress Shop
C. Lara's Boutique
D. Marge's Dresses
Answers
Answer:
B. The Dress Shop.
Step-by-step explanation:
To find the best deal, we want to find the cost for one dress.
Lara's Boutique: $64 for 4 dresses.
x / 1 = 64 / 4
x = 64 / 4
x = $16 per dress.
The Dress Shop: $75 for 5 dresses.
x / 1 = 75 / 5
x = 75 / 5
x = $15 per dress.
Marge's Dresses: $160 for 8 dresses.
x / 1 = 160 / 8
x = 160 / 8
x = $20 per dress.
The boutique with the best deal will have the cheapest dresses. So, the best deal would be at B. The Dress Shop.
Hope this helps!
a store pays $31 for hockey stick. The store marks up the price by 45%. What is te amount of the mark-up
Answers
Answer:
$13.95
Step-by-step explanation:
31*9/20=279/20=27.9/2=$13.95
Kelly invested $5,000 in a cd at charter bank. the annual rate is 4.9% compounded monthly. how much is her investment at the end of 8 years? round to the nearest hundredth.
Answers
The investment of the kelly at the end of 8 years is $7393.78.
What will be the investment of kelly at the end of 8 years?It is given that
The principle P= $5000
rate of interest R=4.9%
The rate is compounded monthly so
\(CI=P(1+\dfrac{R}{12}^{12t} )\)
By putting the value
\(CI= 5000\times (1+\dfrac{0.049}{12}^{12\times8} )\)
\(CI=7393.78\)
Thus the investment of the kelly at the end of 8 years is $7393.78.
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A cylindrical metal pipe has a diameter of 8.4 millimeters and a height of 10 millimeters. A hole cut out of the center has a diameter of 6 millimeters. A smaller cylinder is cut out of a larger cylinder. The smaller cylinder has a diameter of 6 millimeters. The larger cylinder has a diameter of 8.4 millimeters. Both cylinders have a height of 10 millimeters. What is the volume of metal in the pipe? Use 3.14 for and round the answer to the nearest tenth of a cubic millimeter. 282.6 mm3 271.3 mm3 553.9 mm3 836.5 mm3
Answers
Answer:
its b
Step-by-step explanation:
got it right on edge
The volume of the metal in the cylinderical pipe given the dimensions of the larger and smaller cylinders is 271.30 mm³.
What is the volume of the cylinder?A cylinder is a three-dimensional object. It is a prism with a circular base.
Volume of a cylinder = nr^2h
Where:
n = 22/7 r = radius = diameter / 2The volume of the metal in the cylinderical pipe = 3.14 x 10 x [(8.4/2)² - 6/2)²] = 271.30 mm³
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Round 161.69 to the nearest tenth.
Answers
Answer:
161.7
Step-by-step explanation:
3 points are randomly drawn on a circle. what is the probability of them being on the same semi-circle ?
Answers
Answer:
3/4
Step-by-step explanation:
There are 3 Points A,B,C. The first point can be anywhere on the circle Let’s define it to be A. Let’s now orient the circle so that A is the top most point of the circle.Now imagine the circle to be cut in half vertically (into 2 semicircles, where A is in both semicircles) The next two points should be both clockwise or counterclockwise of point A, for the sake of counting lets choose clockwise. There is a 12∗12=1412∗12=14 probability that B and C are on the clockwise side of the semicircle. But the first point could have been A B or C so multiplying by 3 the answer is 3/4
A store marks up a laptop 150% from its original price of $399. There is a sale for 25% off all items in the store. What is the sale price for the computer
Answers
Answer:
multiply the original price ($299) by the first markup percentage (150%)
299*1.50= $448.50
that is markup price!
then you have to do the sale % (25%)
so you'll multiply your (25%) by your new price ($448.50)
448.50*.25= $112. 125
then you will subtract the sale price ($112.125) by the upcharged price ($448.50)
448.50-112.125= 336. 375
= $336. 38(round off)
Sharon called 4 friends on Friday. On Saturday, each of those 4 friends called 4 different friends. On Sunday, each person who was called on Saturday called 4 different people.
Answers
Answer:
it \(4^{3}\)
Step-by-step explanation:
i took a test
Which term of ap 30,27,24is0
Answers
Answer:
11th term is 0
Step-by-step explanation:
30, 27 , 24 ,......0
a = first term = 30
Common difference = second term - first term = 27 - 30 = -3
nth term = a+(n-1)*d
a + (n-1)d = 0
30 + (n - 1) *(-3) = 0
30 + n*(-3) -1*(-3) = 0
30 - 3n + 3 = 0
-3n + 33 = 0
-3n = -33
n = -33/-3
n = 11
Michael makes a model to show the distances between the Sun and the planets.
Earth is 1.50 x 10¹¹ m from the Sun. The distance on the model is 30 cm. What is the ratio of the lengths of the model to the actual distance?
Answers
Step-by-step explanation:
do 1.50 times 10 and the multiple by 30 to get the answer
The ratio of the lengths of the model to the actual distance is approximately 2 x 10⁻¹³.
To find the ratio of the lengths of the model to the actual distance, we need to compare the lengths in the same unit. Let's convert the actual distance between the Sun and Earth from meters to centimeters, so both values are in centimeters.
1 meter = 100 centimeters
Actual distance from the Sun to Earth = 1.50 x 10¹¹ meters
Actual distance from the Sun to Earth in centimeters = 1.50 x 10¹¹ meters * 100 centimeters/meter
Actual distance from the Sun to Earth in centimeters = 1.50 x 10¹¹ meters * 100 centimeters/meter = 1.50 x 10¹³ centimeters
Now, we can compare the lengths:
Length on the model = 30 centimeters
Actual distance from the Sun to Earth = 1.50 x 10¹³ centimeters
The ratio of the lengths of the model to the actual distance is:
Ratio = Length on the model / Actual distance from the Sun to Earth
Ratio = 30 centimeters / (1.50 x 10¹³ centimeters)
To simplify this ratio, let's express the actual distance in scientific notation:
1.50 x 10¹³ = 15 x 10¹² = 1.5 x 10¹³
Now, the ratio becomes:
Ratio = 30 centimeters / (1.5 x 10¹³ centimeters)
Now, notice that both values are in the same unit (centimeters). We can proceed with the division:
Ratio ≈ 0.0000000000002
Therefore, the ratio of the lengths of the model to the actual distance is approximately 2 x 10⁻¹³. This means that every 1 centimeter on the model represents approximately 2 x 10⁻¹³ centimeters in actual distance between the Sun and Earth.
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2x + 4y = 16
3x - 2y = 8
solve this using substitution method only
PLS ANSWER I NEED THIS I WILL GIVE YOU BRAINLIEST
Answers
Answer:the first one is x=2 y=3
Step-by-step explanation:2 times 2 is 4 and 4 times 3 is 12 12 plus 4 is 16
Answer: (8,0)
x=8 & y=0
Step-by-step explanation:
1. Solve for y for the first equation which will give you y = 4 - 1/2x
2. Plug in y = 4 - 1/2 to the other equation 3x - 2 (4-1/2x)=8
3. Slove for x which will give be 8
3. plug 8 back to 4 - 1/2 (8) so you'll get y = 0
need a answer for this plz thxs
Answers
Answer:
i think it is 3 sorry if i am wrong
b≈3.61
here you go
Halla los números desconocidos de estas operaciones
A)872+. +173=2000
B)9180:. =102
C). -99=706
Con los mismos números y las mismas operaciones podemos obtener diferentes resultados,coloca los paréntesis de manera que se obtengan los resultados indicados. A)3+5x7-2=40
B)3+5×7-2=54
C)3+5×7-2=28
ES PARA HOY PORFAVOR☹,PUEDEN HACER EN UNA HOJA O ESCRIBIR ASI PERO EXPLIQUEN BIEN!!!!!!AYUDA SI NO SABEN NO RESPONDAD
Answers
In equation A the missing number is 955, In equation B the missing number is 90 and In equation C the missing number is 805.
A) To find the missing number in the equation 872 + ? + 173 = 2000, we need to subtract 872 and 173 from 2000, which gives us:
2000 - 872 - 173 = 955
Therefore, the missing number is 955.
B) To find the missing number in the equation 9180 ÷ ? = 102, we need to divide 9180 by 102, which gives us:
9180 ÷ 102 = 90
Therefore, the missing number is 90.
C) To find the missing number in the equation ? - 99 = 706, we need to add 99 to 706, which gives us:
706 + 99 = 805
Therefore, the missing number is 805.
To obtain the indicated results with the same numbers and operations, we need to use parentheses to change the order of operations.
A) 3 + (5x7) - 2 = 40
B) (3 + 5) × 7 - 2 = 54
C) 3 + (5 × (7-2)) = 28
Equations are used extensively in various fields of science, engineering, economics, and finance, to name a few. It is formed by placing an equal sign between the two expressions. Equations are used to solve problems and find unknown values.
An equation can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The variables in an equation represent unknown values that need to be found, while the constants are known values that are already given. Solving an equation involves manipulating the expressions on both sides of the equal sign using mathematical operations to isolate the variable on one side and constants on the other. The final solution obtained is the value of the variable that satisfies the equation..
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Complete Question: -
Find unknown numbers of these operations
A ) 872 +. + 173 = 2000
B ) 9180:. = 102
C ). -99 = 706
With the same numbers and the same operations we can obtain different results, place the parentheses so that the indicated results are obtained.
A ) 3 + 5 x 7-2 = 40
B ) 3 + 5 × 7-2 = 54
C ) 3 + 5 × 7-2 = 28
IT'S FOR TODAY PLEASE ☹, CAN DO IN A LEAF OR WRITE ASI BUT EXPLAIN WELL!!!!!!HELP IF THEY DON'T KNOW NO RESPOND
1. Two crucial tasks inherent in the initial stage of group therapy are orientation and ______________.
2. Ambiguity and lack of a structured approach in groups often lead to:
Answers
Two crucial tasks inherent in the initial stage of group therapy are orientation and establishing group norms.Ambiguity and lack of a structured approach in groups often lead to confusion, inefficiency, and potential challenges.
Orientation involves providing essential information to group members about the purpose, goals, and guidelines of the therapy group.
It helps individuals understand what to expect, builds trust, and creates a sense of safety and predictability within the group. Orientation may include discussing confidentiality, group rules, expectations, and addressing any questions or concerns.
Establishing group norms involves collaboratively developing shared guidelines and expectations that govern the behavior and interactions within the group. This process allows group members to contribute to the creation of a supportive and respectful group climate. Group norms help set boundaries, encourage open communication, and foster a sense of cohesion among members.
Without clear structure and guidance, group members may struggle to understand their roles, goals, or the process of the group therapy. Ambiguity can hinder progress, create frustration, and impede meaningful communication.
Lack of structure may also result in difficulty managing conflicts, decision-making, or time management within the group. It can lead to unequal participation, power struggles, and a lack of accountability.
To address these issues, it is important for group therapy to provide a clear framework, establish ground rules, and facilitate structured activities or interventions that promote clarity, engagement, and progress. A structured approach helps create a supportive environment, enhances group dynamics, and maximizes the therapeutic benefits of the group process.
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- Find the finite difference approximation for a Neumann {BC}\left(\frac{d f}{d x}\right) at node n (right {BC} ) to O\left(h^{2}\right).
Answers
The finite difference approximation for a Neumann boundary condition, \(\left(\frac{df}{dx}\right)\), at node \(n\) (right boundary) to \(O(h^2)\) is given by
\(\left(\frac{df}{dx}\right)_n \approx \frac{f_{n-2} - 4f_{n-1} + 3f_n}{2h}\),
where \(f_{n-2}\), \(f_{n-1}\), and \(f_n\) represent the function values at nodes \(n-2\), \(n-1\), and \(n\) respectively, and \(h\) represents the spacing between the nodes.
To derive this approximation, we start with the Taylor series expansion of \(f_{n-1}\) and \(f_n\) around \(x_n\):
\(f_{n-1} = f_n - hf'_n + \frac{h^2}{2}f''_n - \frac{h^3}{6}f'''_n + \mathcal{O}(h^4)\),
\(f_{n-2} = f_n - 2hf'_n + 2h^2f''_n - \frac{4h^3}{3}f'''_n + \mathcal{O}(h^4)\).
By subtracting \(4f_{n-1}\) and adding \(3f_n\) from the second equation, we eliminate the first-order derivative term and retain the second-order derivative term. Dividing the result by \(2h\) gives us the desired finite difference approximation to \(O(h^2)\).
In conclusion, the finite difference approximation for a Neumann boundary condition, \(\left(\frac{df}{dx}\right)\), at node \(n\) (right boundary) to \(O(h^2)\) is \(\left(\frac{df}{dx}\right)_n \approx \frac{f_{n-2} - 4f_{n-1} + 3f_n}{2h}\). This approximation is obtained by manipulating the Taylor series expansion of \(f_{n-1}\) and \(f_n\) to eliminate the first-order derivative term and retain the second-order derivative term, resulting in a second-order accurate approximation.
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14x+38(16x+16) . pleaaseee
Answers
14x + 38(16x + 16) = 14x + (38 * 16x) + (38 * 16)
Multiplying 38 by 16x gives 608x, and multiplying 38 by 16 gives 608. So the expression becomes:
14x + 608x + 608
Combining like terms, we get:
622x + 608
Therefore, 14x + 38(16x + 16) simplifies to 622x + 608.
A cab service charges $4 plus $1.50 per mile. Kate wants to spend no more
than $28 on cab fare. In this inequality, m represents the greatest number of
miles Kate can travel in the cab.
28 > 4+1.5m
Solve the inequality. What is the value of m?
O A. 8
O B. 16
O C. 28
O D. 30
Answers
Answer:
b
Step-by-step explanation:
took the test i got bj : fz wf
The value of m in the inequality 28 > 4+1.5m is 16
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
To solve for m, we need to isolate it on one side of the inequality.
We can start by subtracting 4 from both sides:
28 - 4 > 1.5m
Simplifying:
24 > 1.5m
Next, we can divide both sides by 1.5:
16 > m
So Kate can travel at most 16 miles in the cab if she wants to spend no more than $28 on cab fare.
Therefore, the value of m in the inequality 28 > 4+1.5m is 16
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There are eight boys and eight girls in a
class. The teacher randomly selects one
student to answer a question. Later, the
teacher randomly selects a different student
to answer another question. The first
student is a boy and the second student is a
girl.
Answers
Answer:
Independent events - Random selection of one
student - Selection of one boy to answer first question
Dependent Event - Selection of a girl student
Probability = 13.33 %
Step-by-step explanation:
The complete question is
Determine whether the scenario involves independent or dependent events. Then find the probability
There are eight boys and eight girls in a
class. The teacher randomly selects one
student to answer a question. Later, the
teacher randomly selects a different student
to answer another question. The first
student is a boy and the second student is a
girl.
Solution
Independent events - Random selection of one
student - Selection of one boy to answer first question
Dependent Event - Selection of a girl student
Probability
8C1 + 8C1/16C2
(8+8) /(8*15)
13.33 %
To mail a letter first class, the us postal service charges $0.34 for the first ounce and $0.21 for each additional ounce. What will be the weight of a letter costing 5.76?
Answers
Answer:
25.599
I think
Step-by-step explanation:
if its right can u please give me the brainilest
(2/5)x=(3/20)
pLEASE help i need this quick
Answers
Hope this helps and good luck on all ur examssss :))))
if we allowed the number of edges between any two nodes to be more than two - i.e. there are 7 roads from city a to city b and 5 roads from city b back to city a and so on, like that for many of the other cities, then which of the two data structures we used for our graph problems, would be able to accurately store that graph information?
Answers
If we allow the number of edges between any two nodes to be more than two, we would need to use the adjacency matrix to accurately store that graph information.
The adjacency matrix is a matrix representation of a graph where the rows and columns represent the vertices and the values in the matrix represent the number of edges between two vertices.
In this case, we could have values greater than 1 in the matrix to represent multiple edges between two vertices.
On the other hand, the adjacency list data structure would not be able to accurately store this information, as it represents each vertex and its adjacent vertices in a linked list format.
It would be difficult to represent multiple edges between two vertices using this data structure.
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The temperatures of Charleston, South Carolina on May 3rd are recorded in the table below. Determine the equation that models this data.
Answers
Answer:
Is there more of the problem i dont see the what y and x are equivalent to
Step-by-step explanation:
True or False. The range of values that correlation coefficients can take is -infinity to infinity. Meaning any positive or negative number. Group of answer choices True False
Answers
False, the statement is false. The range of values that correlation coefficients can take is limited to -1 to 1, representing the strength and direction of the linear relationship between variables.
The range of values that correlation coefficients can take is from -1 to 1. A correlation coefficient measures the strength and direction of the linear relationship between two variables. A value of -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation. The correlation coefficient cannot go beyond these limits because it represents the degree of linear association between the variables.
For example, if we have two variables, X and Y, and their correlation coefficient is calculated as 0.75, it means there is a strong positive linear relationship between X and Y. If the correlation coefficient were to be outside the range of -1 to 1, it would imply a nonlinear relationship, which is not captured by the correlation coefficient.
the statement is false. The range of values that correlation coefficients can take is limited to -1 to 1, representing the strength and direction of the linear relationship between variables.
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two supplementary angles differ by 34. find the angles..
Answers
Answer:
107°
73°
Step-by-step explanation:
Let the two supplementary angles be x° and y°.
x + y = 180....(1)
Since, supplementary angles differ by 34.
Therefore,
x - y = 34....(2)
Adding equations (1) & (2)
x + y = 180
x - y = 34
_________
2x = 214
x = 214/2
x = 107°
Plug x = 107 in equation (1)
107 + y = 180
y = 180- 107
y = 73°
The first term of a sequence is 13. The term-to-term rule is 'take away 5'. Work out the 4th term
Answers
Answer:
The answer is -2, give me brainliest answer
Step by step solution:
1. 13-5=8
2. 8-5=3
3. 3-5= -2
Answer:
-2
Step-by-step explanation:
13
13 - 5 = 8
8 - 5 = 3
3 - 5 = -2
HELP ASAP PLEASE!!!
A linear relationship is given in the table.
X-2 -1 0 1 2
y -13 -9 -5 -1 3
What is the slope of the relationship?
1/4
-1/4
4
-4
Answers
4 is the slope of the linear relationship.
What is slope?An indication as to how sharp a line is its slope. Slope is computed mathematically as "rise over run" (change in y divided by change in x).
The ratio of the increase in elevation between two places to the run in elevation between those same two points is referred to as the slope.
Slope-related equations The "change in y" over the "change in x" of a line is referred to as the slope. By dividing (y₂ - y₁) over (x₂ - x₁) and choosing two locations on the line (x₁, y₁) and (x₂, y₂), you can get the slope.
A linear relationship is given in the table.
According to the data of the table,
x: -2 -1 0 1 2
y: -13 -9 -5 -1 3
now, slope = (y₂ - y₁) / (x₂ - x₁)
slope = {-9 -(-13)} / {-1 -(-2)}
slope = 4
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