The box plots show the amount of water, in ounces,
that Jolie and Francesca drink after working out.
Express the difference in the median amount of
water as a multiple of the IQR for each data set.
Show your work.
Answers
The difference between the medians is calculated as 0.75 times the interquartile range (IQR).
Calculating the differenceTo compute this, we can refer to the box plot provided and obtain the necessary values for the medians and IQRs of the two groups being compared.
For Jolie, the median amount is 28 and the IQR is 16, while for Francesca, the median amount is 16 and the IQR is also 16.
Subtracting the two median values gives a difference of 12.
We can then express this as:
Difference = 12 * IQR/16
Simplifying this gives a difference in medians of:
Difference = 0.75IQR.
Therefore, we can conclude that the difference in median amounts is 0.75IQR.
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Related Questions
At the beginning of spring, Anand planted a small sunflower in his
backyard. The sunflower's height in inches, h, after w weeks, is given by the equation h = 3.75w+18. What
could the number 3.75 represent in the equation?
Hint: this equation is in slope-intercept form: y=mx+b
The rate of change in the sunflower's height
The sunflower's height after one week
The sunflower's height when it is planted
Answers
Answer:
3.75 represents how much the flower grows every week.
Step-by-step explanation:
find the Sum of two consecutive odd numbers plus eighteen is 170
Answers
Answer:
75, 77
Step-by-step explanation:
Let the first odd number = 2x -1
Let the second odd number = 2x + 1
2x - 1 + 2x + 1 + 18 = 170 Combine like terms on the left.
4x + 18 = 170 Subtract 18 from both sides.
4x = 170 - 18 Combine like terms on the right
4x = 152 Divide by 4
4x/4 = 152/4
x = 38
2 * 38 - 1 = 75
2 * 38 + 1 = 77
Convert 0.0045 to a percent.
Select one:
0.045%
0.45%
4.5%
45%
Answers
Answer: 0.045%
Step-by-step explanation:
What is the equation of a line that has a slope of 2 and passes through point (-1, 7)?
Answers
Answer:
2x+9
Step-by-step explanation:
3)I NEED HELP FAST
Beth cuts a green apple into 6 slices. She ate 5 slices and gave 1 slice to her sister,
Eva. What fraction of the apple did Eva receive?
Answers
Answer:
uhhh ima guess 1/2
Step-by-step explanation:
because 6-5 is 1 and 1 is 1/2 in fractions ig
The midpoint of line segment LN, point M, is located at (0, 3).
One of the endpoints, N, is located at (-8, -1).
What are the coordinates of the other endpoint, L?
Answers
slope formula: m = y2-y1/x2-x1
substitute: -1 - 3/-8 - 0 = -4/-8 = 1/2
m = 1/2
so the rise is 1 and the run is 2. now for the “adding”
the midpoint is at (0,3). the x value is 0 and they y value is 3. add the rise to the y value (as they are both going vertically) to get 4. add the run to the x value (as they are both going horizontally) to get 2.
now just make it into coordinates: (x,y) = (2, 4)
your missing endpoint is (2,4).
8.
Hope spent a total of $131 on seven throw pillows. Fancy throw pillows
cost $28 and plain throw pillows cost $15.
Use substitution to solve the linear system of equations and
determine how many fancy pillows, x, and plain pillows, y she bought.
Write the solution to the system as an ordered pair (x,y).
Answers
Answer:
(2, 5)
Step-by-step explanation:
Let the number of fancy throw pillows be x.
Let the number of plain throw pillows be y.
Hope spent a total of $131 on 7 throw pillows.
Fancy throw pillows cost $28 and plain throw pillows cost $15.
These imply two things:
x + y = 7 _______ (1)
28x + 15y = 131 ___(2)
We have a linear system of equations.
From (1):
x = 7 - y
Substitute the value of f into (2):
28(7 - y) + 15y = 131
196 - 28y + 15y = 131
196 - 13y = 131
=> 13y = 196 - 131
13y = 65
y = 65 / 13
y = 5
This means that:
x = 7 - 5 = 2
Hope bought 2 fancy throw pillows and 5 plain throw pillows
What is x≧6 (six grade inequalities) please help
Answers
Answer:
Step-by-step explanation:
ince
x
=
6
is a vertical line, there is no y-intercept and the slope is undefined.
Slope: Undefined
y-intercept: No y-intercept
Find two points on the line.
x
y
6
0
6
1
Graph the line using the slope, y-intercept, and two points.
Slope: Undefined
y-intercept: No y-intercept
x
y
6
0
6
1
image of graph
Lacy uses 1 1/2 cups of flour and 1/2 cup of applesauce for one batch of muffins. She makes 2 1/2 batches of muffins. How many
cups of flour does Lacy use in all?
Answers
If Lacy is making 2 1/2 batches them you do the math like this :
1 1/2 + 1 1/2 + 3/4 = 3 1/4
this is because you will need the full 1 1/2 cups for the first 2 batches then you’ll have to divide the 1 1/2 by 2 to half the recipe.
Hope this helps <3
Find the value of x. A. 64 B. 244 C. 74 D. 52
Answers
Answer:
A. 64°Step-by-step explanation:
x = 360° - 2•90° - 2•58° = 64°
How many cubic centimetres would you place in a tub of water to displace 1 L of water?
Answers
1000 cubic centimeters would need to be placed in a tub of water to displace 1 Lter of water
What is conversion of units?Conversion of units simply refers to the method used in determining the equivalent of one unit in relation to another.
From the information given, we have that;
Number of cubic centimeters that would be placed in a tub of water to displace 1 L of water
So, we have that there is 1 liter of water in the tub
In order to displace, you need to put something in that is the same amount
Now, let's convert the units
1 liter = 1000 cubic cm
Hence, you need 1000 cubic cm to displace 1 liter
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The Point class represents x,y coordinates in a Cartesian plane. Which line of code appears completes this operator which transforms a Point by dx and dy? (Members written inline for this problem.) class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return _________________________;}
Answers
The correct line of code that completes this operator which transforms a Point by dx and dy is shown below: Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Note that the function operator+ takes two arguments: an integer dx and an integer dy.
The function returns a point, which is created by adding dx to x and dy to y.The completed code is shown below:class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Therefore, the correct answer is: `Point(x_+dx,y_+dy)`
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Look at this square. Find the value of
S.
S
Perimeter = 16 miles
S =
miles
Answers
The value of S, which represents the length of each side of the square, is 4 miles.
To find the value of S, we need to determine the length of each side of the square. Given that the perimeter of the square is 16 miles, we can use the formula for the perimeter of a square, which is 4 times the length of a side.
Perimeter = 4 × S
Given that the perimeter is 16 miles, we can substitute this value into the equation:
16 = 4 × S
To solve for S, we divide both sides of the equation by 4:
16 ÷ 4 = S
4 = S
Therefore, S, which stands for the square's side lengths, has a value of 4 miles.
So, S = 4 miles.
This means that each side of the square measures 4 miles, and the square has equal sides and right angles at each corner.
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Hanna is recovering hundreds of treasure chests from an ancient shipwreck. she is able to recover 9 chests every 3 hours Complete the table using equivalent ratios.
Answers
If Hanna is recovering hundreds of treasure chests from an ancient shipwreck. The ratio of chests recovered to time is always 3:1, since Hanna recovers 9 chests every 3 hours.
How to find the ratio?The table showing the number of treasure chests recovered by Hanna over time, assuming she can recover 9 chests every 3 hours:
Time (hours) Number of Treasure Chests
3 9
6 18
9 27
12 36
15 45
18 54
21 63
24 72
27 81
30 90
33 99
36 108
39 117
42 126
45 135
48 144
51 153
54 162
57 171
60 180
As you can see, the ratio of chests recovered to time is always 3:1, since Hanna recovers 9 chests every 3 hours.
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b. If m ∠B A C=40, m ∠ D A C=40 , and D C=10 , find B C .
Answers
The value of B C is 10 units. We know that AC is the common side of Δ ABC and Δ ADC. Therefore the two triangles are congruent by the Side Angle Side criterion.
Given that m ∠B A C=40, m ∠ D A C=40 and DC = 10
We have to find BC In ∆ABC, sum of angles in ∆ABC = 180°∴ ∠BAC + ∠ABC + ∠ACB = 180°⇒ 40° + ∠ABC + ∠ACB = 180°⇒ ∠ABC + ∠ACB = 140°
Also in ∆ACD, sum of angles = 180°∴ ∠DAC + ∠ACD + ∠DCA = 180°⇒ 40° + ∠ACD + ∠DCA = 180°⇒ ∠ACD + ∠DCA = 140°
In ∆ABC and ∆ACD, angle BAC = angle DAC In ∆ABC and ∆ACD, angle CAB = angle CADSo, ∆ABC and ∆ACD are similar.
So, we can write the ratio of the corresponding sides as; AB/AC = AC/AD => AB = AC²/ADAB = 10²/ACAB = 100/ACIn ∆ABC and ∆ACD, angle ABC = angle ACD
So, we can write the ratio of the corresponding sides as; BC/AC = AC/CD => BC = AC²/CDBC = 10AC²/ACBC = 10AC. Now, we know that AB = 100/ACAB = 10BC
Substitute these values in the equation given below,AB + BC = AC⇒ 100/AC + 10BC = AC⇒ 100 + 10BC × AC = AC³⇒ AC³ - 10AC² - 100 = 0⇒ AC³ - 125AC² + 115AC² - 100 = 0⇒ AC²(AC - 125) + 100(AC - 1) = 0⇒ (AC - 1)(AC² - 125AC + 100) = 0AC = 1 is not possible as it doesn't satisfy the problem statement
So, AC² - 125AC + 100 = 0AC = [125 ± sqrt(15625 - 4 × 100 × 25)]/2AC = (125 ± 35)/2AC = 80/2 or AC = 45/2AC = 40 or AC = 22.5If AC = 40, then BC = 10 × 40/10 = 40If AC = 22.5, then BC = 10 × 22.5/10 = 22.5∴ BC = 40 or 22.5
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What is the sum of the interior angles of this pentagon? MULTIPLE CHOICE EASY
Answers
Answer:
Option B 540 is the amswer
Evaluate the following expression if x=2,y=-3, and z=1.
13+|8+y|
Answers
The value of the expression 13 + |8 + y| if x = 2, y = -3, and z = 1 is 18
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
x = 2, y = -3, and z = 1
Also, we have
13 + |8 + y|
Substitute the known values in the above equation, so, we have the following representation
13 + |8 + y| = 13 + |8 - 3|
So, we have
13 + |8 + y| = 13 + |5|
Remove the absolute bracket
13 + |8 + y| = 13 + 5
So, we have
13 + |8 + y| = 18
Hence, the solution is 18
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Need help please
ASAPPPP
Answers
Answer:
you are right... its 5
Step-by-step explanation:
you put the change in y over change in x which is 5/1=5
Is s the independent variable in the equation s=5m+8
Answers
Answer:
yes
Step-by-step explanation:
because an independent variable is going to be by itself in a equation
I need this in less than 20 minutes!! Any help is appreciated!
Answers
Answer:
Answer is x=-2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
The answer is C which is 2
(a) show that the set of vectors in Rn is orthogonal, and
(b) normalize the set to produce an orthonormal set.
{(2, −5), (10, 4)}
Answers
We have produced an orthonormal set of vectors: {(2/√29, -5/√29), (5/√29, 2/√29)}.
(a) To show that the set of vectors in Rn is orthogonal, we need to show that their dot product is zero. Let's calculate the dot product of the given vectors:
(2, -5) · (10, 4) = 2×10 + (-5)×4 = 20 - 20 = 0
Since the dot product is zero, we can conclude that the set of vectors {(2, −5), (10, 4)} is orthogonal.
(b) To normalize the set and produce an orthonormal set, we need to divide each vector by its magnitude. The magnitude of a vector (a, b) is given by √(a^2 + b^2).
So, the normalized vectors are:
v1 = (2, -5) / ||(2, -5)|| = (2/√29, -5/√29)
v2 = (10, 4) / ||(10, 4)|| = (10/√116, 4/√116) = (5/√29, 2/√29)
Now, we can check that both vectors are unit vectors (i.e., their magnitude is 1) and they are still orthogonal:
v1 · v2 = (2/√29)×(5/√29) + (-5/√29)×(2/√29) = 0
Therefore, we have produced an orthonormal set of vectors: {(2/√29, -5/√29), (5/√29, 2/√29)}.
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Use the Disk Method to set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the y-axis. 11 y = x12 y=1, x=0 11 TT 70 11 70 al v-aj- b) v =rſ vīdy = aj- O c) v=ri vīdy = od) v = r[ võõdy = e) v = |vdy v= 11 35 24 11 =—T 35 11 %3Dール 35
Answers
By using Disk Method, the integral that gives the volume of the solid formed by revolving the region about the y-axis of y = x^(11/12) y=1, x=0 is V = π∫(0 to 1) y^(24/11) dy = 11π/35. The option is D) is correct.
To use the Disk Method to find the volume of the solid formed by revolving the region about the y-axis, we can imagine slicing the solid into thin disks perpendicular to the y-axis, with each disk having thickness dy. The total volume of the solid can be found by summing up the volumes of all such disks from y=0 to y=1.
The equation of the curve is y = x^(11/12), so we can solve for x as x = y^(12/11). The region is bounded by y=0, y=1 and x=0.
Now, consider a thin disk located at a distance y from the y-axis. The radius of the disk is given by the distance between the y-axis and the curve at y, which is simply x = y^(12/11). Thus, the radius of the disk is r(y) = y^(12/11). The thickness of the disk is dy.
The volume of the disk is given by the formula for the volume of a cylinder, which is V = πr^2h, where r is the radius of the disk and h is its thickness. Substituting in the values we have for r(y) and dy, we get:
dV = π(y^(12/11))^2 dy
Integrating this expression over the range of y from y=0 to y=1 gives us the total volume of the solid:
V = ∫(0 to 1) π(y^(12/11))^2 dy
Simplifying the integrand, we have:
V = π∫(0 to 1) y^(24/11) dy
Using the power rule of integration, we have:
V = π[(11/35) y^(35/11)](0 to 1)
Evaluating this expression at the limits of integration, we get:
V = π[(11/35) - 0] = π(11/35) = 11π/35
Therefore, the volume of the solid formed by revolving the region about the y-axis is 11π/35 cubic units. The correct answer is D).
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_____The given question is incomplete, the complete question is given below:
Use the Disk Method to set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the y-axis. y = x^(11/12) y=1, x=0
A) V = π∫(0 to 1) y^(11/12) dy = 11π/70
B) V = π∫(0 to 1) y^(24/11) dy = 11π/70
C) V = π∫(0 to 1) y^(12/11) dy = 11π/35
D) V = π∫(0 to 1) y^(24/11) dy = 11π/35
Please answer!!!
What is the instantaneous slope of y = eight over x at x = -3?
A. -8/3
B. 8/3
C. -8/9
D. 8/9
Answers
Answer:
C
Step-by-step explanation:
\(\frac{d}{dx} (8x^-1)\\-8x^{-2}\\\)
using x = -3
\(-8(-3)^{-2}\\\frac{-8}{9}\)
The instantaneous slope of the function y = 8/x at x = -3 is -8/9.
Option C is the correct answer.
We have,
To find the instantaneous slope of the function y = 8/x at x = -3, we can differentiate the function with respect to x.
Differentiating y = 8/x using the power rule, we get:
dy/dx = -8/x²
Now, we can evaluate the instantaneous slope at x = -3 by substituting the value into the derivative:
dy/dx = -8/(-3)²
= -8/9
Therefore,
The instantaneous slope of the function y = 8/x at x = -3 is -8/9.
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which of the following is an example that best describes a cross-sectional study? multiple choice question. a study where the same elementary students are followed in grades 6, 7, 8, and 9. a study where elementary students in grades 6, 7, 8, and 9 are surveyed all at one time.
Answers
An example of a cross-sectional study is a study where elementary students in grades 6, 7, 8, and 9 are surveyed all at one time. (second option)
What is a cross-sectional study ?A cross-sectional study is when different types of individuals are studies at a single point in time. An advantage of a cross-sectional study is it cheap and quick. A disadvantage of a cross-sectional study is it cannot be used to determine changes over a period of time.
A longitudinal study is when a subject is studied over a period of time. A longitudinal study is usually time consuming because it takes place over a period of time.
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7x - 2x + 2 = 6x + 14
Answers
Answer:
X= -12
Step-by-step explanation:
So just combine like terms and isolate the variable
5x+2=6x+14
2=x+14
-12=x
So x is negative twelve
Answer:
x = -12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
7x - 2x + 2 = 6x + 14
Step 2: Solve for x
Combine like terms: 5x + 2 = 6x + 14Subtract 5x on both sides: 2 = x + 14Subtract 14 on both sides: -12 = xRewrite: x = -12A rectangular prism has a length 4 1/4 in., a width of 3 in., and height of 1 1/4 in.
which expressions can be used to find the volume of the prism.
Select EACH correct answer.
A.) 1 1/4 (3+4 1/4 )
B.) 4 1/4 times 3 times 1 1/4
C.) 12 3/4 times 1 1/4
D.) 1/2 (12 3/4 times 1 /14)
PLEASE HELP ALL 25 OF MY POINTS
Answers
Answer:
B, C.
Step-by-step explanation:
B, because you're multiplying them all, which is what you would do in the normal formula. You would get 255/16, or 15.9375.
C, since you would also get 255/16.
Please tell me if im wrong! im only a student .m.
What are the values of x and y. In the given figure?
Answers
Answer:
y= 52, x = 5
Step-by-step explanation:
since A = 52 degrees its the same on the otherside
so y= 52
to work out x:
(14x + 6) + 52 + 52 = 180 (sum of all angles in a triangle)
(14x + 6 ) + 104 = 180
14x +6 = 76
14x = 70
x = 5
suppose y varies directly as x and y=21 when x=3 find x when y=42
Answers
Answer:
6
Step-by-step explanation:
21/3=42/x
x=42*3/21
x=6
Which expressions have a sum greater than 20? Select all that apply.
A 15.16 + 4.09
B. 0.8 + 19.3
C. 13.36 + 6
D. 8.3 + 11.8
DE 10.09 + 9.9
Answers
Answer:
0.8 + 19.3 and 10.09 + 9.9
Step-by-step explanation:
Hope this helps Plz give brainliest
Answer:
23
Step-by-step explanationis chillingwithmeme
which term is a perfect square of the root 3x4?
Answers
Answer:
4
Step-by-step explanation:
Answer:
9x^8
Step-by-step explanation:
good luck