Question 4: Recently a random group of students answered the question, "On average, how many expensive coffee beverages do you consume each week?" The boxplots show the distributions for the weekly number of expensive coffee beverages consumed for men and women. a) Using the boxplot, find the 5-number summary for women. Men b) What percentage of women drink more than 4 expensive coffee beverages weekly? Women c) Which group has the larger IQR? 4 6 8 10 12 14 Number of expensive coffee beverages consumed weekly d) What does a larger IQR represent? e) Which group has the smallest median consumption of expensive coffee beverages weekly? f) How many men were in this sample? 0 T 2
Answers
From a random group :
a) The 5-number summary for women: Minimum = 4, Q1 = 6, Median = 8, Q3 = 10, Maximum = 12.
b) The percentage of women who drink more than 4 expensive coffee beverages weekly cannot be determined from the information given.
c) Comparing the IQRs of both groups is not possible without information about the men's boxplot.
d) A larger IQR represents a greater spread or variability in the middle 50% of the data.
e) The group with the smallest median consumption of expensive coffee beverages weekly cannot be determined from the information given.
f) The number of men in the sample cannot be determined from the information provided.
a) The 5-number summary for women can be determined from the boxplot, which consists of the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum values.
b) To find the percentage of women who drink more than 4 expensive coffee beverages weekly, we need to examine the boxplot or the upper whisker. The upper whisker represents the maximum value within 1.5 times the interquartile range (IQR) above Q3. We can calculate the percentage of women above this threshold.
c) To determine which group has the larger IQR, we compare the lengths of the IQRs for both men and women. The IQR is the range between Q1 and Q3, indicating the spread of the middle 50% of the data.
d) A larger IQR represents greater variability or dispersion in the middle 50% of the data. It indicates a wider spread of values within that range.
e) To identify the group with the smallest median consumption of expensive coffee beverages weekly, we compare the medians of the boxplots for men and women. The median represents the middle value of the data.
f) The number of men in the sample cannot be determined from the information provided.
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Related Questions
Can you help me with this please
Answers
Answer:
\(\frac{1}{1200}\)
Step-by-step explanation:
interesting question:
if grinch is a person like shown in the story,
the fraction would be \(\frac{1}{1200}\), this represents the grinch among the people in Whoville.
Find the gradient vector field of f. f(x, y) =xe9xy
Answers
The gradient vector field of function f(x,y) is given as follows:
grad(f(x,y)) = (1 + 9xy)e^(9xy) i + 9x²e^(9xy) j.
The gradient vector field of a function
Suppose that a function defined as follows:
f(x,y).
The gradient function is defined considering the partial derivatives of function f(x,y), as follows:
grad(f(x,y)) = fx(x,y) i + fy(x,y) j.
The gradient of a function is a vector field. It is obtained by applying the vector operator V to the scalar function f(x, y). Such a vector field is called a gradient (or conservative) vector field.
In which:
fx(x,y) is the partial derivative of f relative to variable x.
fy(x,y) is the partial derivative of f relative to variable y.
The function in this problem is defined as follows:
f(x,y) = xe^(9xy).
The partial derivative relative to x as follows:
fx(x,y) = e^(9xy) + 9xye^(9xy) = (1 + 9xy)e^(9xy).
The partial derivative relative to y as follows:
fy(x,y) = 9x²e^(9xy).
Hence the gradient vector field of the function is defined as follows:
grad(f(x,y)) = (1 + 9xy)e^(9xy) i + 9x²e^(9xy) j.
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Describe in words where the square root of thirty-five would be plotted on the number line. between 5 and 6, but closer to 5 between 5 and 6, but closer to 6 between 6 and 7, but closer to 6 between 6 and 7, but closer to 7
Answers
The square root of twenty-four would be plotted (C) between 6 and 7, but closer to 6 on a number line.
What is a number line?A number line is a horizontal line with evenly spaced number increments. The numbers on the line will dictate how the number on the line can be answered. The question that corresponds with the number specifies how it will be utilized, such as graphing a point.Number lines are extremely adaptable manipulatives that can be used for locating numbers, comparing numbers, fractions and mixed numbers, decimals, integers, absolute value, addition, subtraction, inequalities, multiples, common denominators, and more.To find where the √37 would be plotted on the number line:
As we all know that √37 is 6.082.If we round that off, the number will be 6.So, option (C) between 6 and 7, but closer to 6 is correct.Therefore, the square root of twenty-four would be plotted (C) between 6 and 7, but closer to 6 on a number line.
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The correct question is given below:
Describe in words where the square root of thirty-five would be plotted on the number line.
(A) between 5 and 6, but closer to 5
(B) between 5 and 6, but closer to 6
(C) between 6 and 7, but closer to 6
(D) between 6 and 7, but closer to 7
All people come very close to being able to float in water. What therefore is the volume (in cubic meters) of a 50-kg woman?
a. 0.007
b. 0.035
c. 0.050
d. 0.070
e. 0.085
Answers
All people come very close to being able to float in water. therefore, 0.007 is the volume (in cubic meters) of a 50-kg woman.
Correct answer will be a. 0.007
The volume of a person in water is determined by their body density and the amount of air in their lungs. The volume can be estimated using the principle of buoyancy, which states that a body floating in a fluid is buoyed up by a force equal to the weight of the fluid displaced by the body.
In this case, we are given the weight of a 50-kg woman and asked to determine her volume in cubic meters. To do this, we can use the formula for buoyancy: Fb = ρf * V * g, where Fb is the buoyant force, ρf is the density of the fluid (water), V is the volume of the woman, and g is the acceleration due to gravity.
Since the woman is floating, the buoyant force is equal to her weight, so we can set these two equal to each other: ρf * V * g = 50 kg * 9.8 m/s^2. Solving for V, we find that V = 50 kg / (ρf * g) = 50 kg / (1000 kg/m^3 * 9.8 m/s^2) = 0.005 m^3.
Comparing this answer to the options given, we can see that the closest option is 0.007 m^3 (choice a), which is our final answer.
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If you have a score of x = 75 on an exam, which set of parameters would give you the highest position within the class?
Answers
The set of parameters that would give you the highest position within the class with a score of x = 75 is option (C) μ = 60 and σ = 5 is the correct answer.
In this question,
A z-score tells us how many standard deviations away a value is from the mean. A positive z-score indicates the raw score is higher than the mean average. A negative z-score reveals the raw score is below the mean average.
According to the Percentile to z-score calculator, the z-score that corresponds to the 90th percentile is 1.2816. Thus, any student who receives a z-score greater than 1.2816 would be considered a “good” z-score.
The z-score can be calculated as
z-score = \(\frac{x-\mu}{\sigma}\)
On substituting the above options of μ and σ with the score of x = 75,
a) μ = 70 and σ = 5,
z-score = \(\frac{75-70}{5}\)
⇒ \(\frac{5}{5}\) = 1
b) μ = 70 and σ = 10,
z-score = \(\frac{75-70}{10}\)
⇒ \(\frac{5}{10}\) = 0.5
c) μ = 60 and σ = 5,
z-score = \(\frac{75-60}{5}\)
⇒ \(\frac{15}{5}\) = 3
d) μ = 60 and σ = 10
z-score = \(\frac{75-60}{10}\)
⇒ \(\frac{15}{10}\) = 1.5
Thus the z-score 3, is the higher value. 99% have a z-score between -3 and 3. Therefore, the set of parameters that would give you the highest position within the class with a score of x = 75 is option (C) μ = 60 and σ = 5 is the correct answer.
The complete question is as follows,
If you have a score of x = 75 on an exam, which set of parameters would give you the highest position within the class?
The options for this question are a) μ = 70 and σ = 5, b) μ = 70 and σ = 10, c) μ = 60 and σ = 5, d) μ = 60 and σ = 10.
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A swimmer is looking for a fish, he dives down below 14
feet then swims up 8 feet then swims back down 11 fish,
he swims down 2 more feet and finds the fish. What was
his depth when he found the fish?
Answers
Answer:
-5 feet below
Step-by-step explanation:
Given f(x)=11^x, what is f^-1(x)?
Answers
Answer:
The first one
\( log_{11} \: (x)\)
Step-by-step explanation:
f(x) = 11^x
Here are the steps to find the inverse of a function:
1. Let f(x)=y
2. Make x the subject of formula.
3. Replace y by x.
\(11 {}^{x} = y \\ \: log(11 {}^{x} ) = log(y) \\ x log(11) = log(y) \\ x = \frac{ log(y) }{ log(11) } = log_{11}(y) \\ f {}^{ - 1} (x) = log_{11}(x) \)
What can I change in this equation to make it true
x-6y=4
Answers
Answer: y=1/6x−2/3
Step-by-step explanation:
-6y= x-4
/-6 . /-6
y= 1/6x-2/3
*somethin like this*
How to do part b
2. Express the following in the form r sin(t + a). TI Solion. Using the as 20464. u (b) 2 sint - 3 cos t TOD +
Answers
The given expression 2 sin(t) - 3 cos(t) in the Form r sin(t + a), can be expressed as √13 sin(t - arctan(2/3)).
To express the given expression, 2 sin(t) - 3 cos(t), in the form r sin(t + a), we can use trigonometric identities to simplify and rewrite it.
Let's start by using the identity cos(a - b) = cos(a)cos(b) + sin(a)sin(b):
2 sin(t) - 3 cos(t) = r sin(t + a)
Here, r represents the magnitude or amplitude of the trigonometric function, and a represents the phase shift or the angle by which the function is shifted horizontally.
To find r and a, we need to manipulate the given expression to match the form r sin(t + a).
We can rewrite 2 sin(t) - 3 cos(t) as:
r [sin(t)cos(a) + cos(t)sin(a)]
By comparing the coefficients with the identity cos(a - b) = cos(a)cos(b) + sin(a)sin(b), we can determine that r = √(2^2 + (-3)^2) = √(4 + 9) = √13.
Next, we equate the coefficients of sin(t) and cos(t) to sin(a) and cos(a) respectively:
sin(a) = 2/√13
cos(a) = -3/√13
To find the value of a, we can use the arctan function:
a = arctan(sin(a)/cos(a)) = arctan((2/√13)/(-3/√13)) = arctan(-2/3)
Thus, we have expressed the expression 2 sin(t) - 3 cos(t) in the form r sin(t + a):
2 sin(t) - 3 cos(t) = √13 sin(t - arctan(2/3))
Note that the given value of 20464 and the letter "u" do not appear to be related to the given expression and can be ignored in this context.
In summary, the given expression 2 sin(t) - 3 cos(t) can be expressed as √13 sin(t - arctan(2/3)).
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Jeff is building a sandbox in his backyard. He wants the sandbox to be in the shape of a square. He would like the area of the sandbox to be between 100 and 200 m. If he doesnt want to work with the decimals, what side lengths would you suggest for Jeff's sandbox?
Answers
Answer:
I would say 100 m by 100 m because a square has equal sides, and theirs no decimals in it
Step-by-step explanation:
^
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Determine whether the given sequence could be geometric, arithmetic, or neither. If possible, identify either the common ratio or the common difference.
9, 13, 17, 21,....
Answers
Find the perimeter of a triangle with the given vertices
A: (-3,0) B: (0,4) C:(3,0)
Answers
Answer:
To find the perimeter of the triangle, find the lengths of each side of the triangle using the distance formula. Use the distance formula to find the length between point A and B, B and C, C and A. Then add all three lengths together to get the perimeter.
Step-by-step explanation:
6 and if not 6 10
Teachers-divided-students-into-groups-of-6-Each-group-of-6-wrote-a-report-that-had-18-pictures-in-it-The-students-used-585-pictures-altogether-How-many-students-were-there-in-all
Answers
Answer:
195 students
Step-by-step explanation:
585 divided by 18 = 32.5
There are 32.5 GROUPS
32.5(6) = 195
There are 195 student's total
Find the value of a in the triangle shown below.
·
102
48°
Answers
The value of third angle is 30 and we can find using angle sum property.
What is angle sum property?The triangle's angles can be added up to equal 180 degrees, according to the angle sum property of triangles. A triangle has three sides, one at each vertex, and three angles. The total of the interior angles in any triangle, whether acute, obtuse, or right, is 180 degrees.
One of the most commonly employed properties in geometry is the angle sum property of a triangle. Calculating the unknown angles is primarily done using this characteristic. When the values of the other two angles are known, the measure of an unknown interior angle can be determined using the angle sum property.
Given
The two angles are given as 102 and 48
we need to find the third angle
Let the third angle be a then
using the angle sum property we get
102 + 48 + a = 180
a = 30
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In a class full of men and women,
3/5
of the class are women. What is the ratio of men to women in its simplest form?
Answers
Answer:
2 : 3
Step-by-step explanation:
Women are = 3/5
So, Men Must be = 2/5
Ratio of Men to Women:
=> 2/5 : 3/5
Multiplying both sides by 5
=> 2 : 3
Answer:
IT IS NOT 2/3 ORE 3/5
THE WRITE ANSWER IS 2:3
Ezra has 2 stuffed animals. Each stuffed animal has a mass of 330 grams. What is the total mass of both stuffed animals in milligrams?
Answers
Answer: 660,000 milligrams
Step-by-step explanation:
330 x 2 = 660
convert grams to milligrams by multiplying the mass by 1,000
Answer:
660,000
Step-by-step explanation:
hope this helps!
Someone please help I don’t get this at all
Describe the data set by listing the attribute measured,
the unit of measure, the likely means of measurement,
and the number of observations.
Plant heights
Height of Plants (inches)
10.3
9.7
6.4
8.1
11.2
5.7
11.7
7.5
9.6
6.9
Answers
Under a transformation, a preimage and its image are both squares with side length 3. The image, however, is rotated with respect to the preimage. Is the transformation a rigid motion?
Answers
A rigid transformation is a rigid motion of a geometric object on a plane
The correct response is; Yes, the transformation is a rigid motion
Reason:
A rigid transformation or rigid motion is a motion in which the distance between pairs of corresponding points on the image and the preimage are equal
Therefore, given that the side lengths of the square, are each of length 3, such that the size of the preimage and the image are equal, and therefore, the distances between corresponding pairs of points on the image and the preimage, are equal, the transformation is a rigid motion
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Answer:
The answer is YES, it is a rigid motion.
Reason:
Because a rigid motion is one that does not change the shape or size, when you rotate a shape, you are only changing its orientation. The distance between any two points is also the same.
Find the equation of the line
Use exact numbers
y=*blank*x+*blank*
Answers
The equation of a line is in something called slope intercept form. That looks like y = mx + b. m represents the slope (measure of how steep a line is, and in which direction it is going) and b represents the y intercept (y coordinate when x = 0). You need to find the slope and y intercept to complete the equation.
First, find the slope. The formula for slope is: m = (y2 - y1)/(x2 - x1) where m is the slope and (x1, y1) and (x2, y2) are points.
Pick any two points on the graph. I will use (-2, 0) and (0, 4). Now use these values to find the slope.
m = (4-0)/(0+2) = 4/2
m = 2
m = 2 means that for every two units the line goes up on the y axis, it moves one to the right on the x axis. 2 will go in your first box.
Now find the y intercept. The y intercept is where the line crosses the y axis - it is the y coordinate when x = 0. Here when x = 0, y = 4, so your y intercept is at 4. 4 goes into your second box.
The equation is y = 2x + 4
5. (5 points) Find the derivative of F(t) = 1³(316 +21³) without using the product rule.
Answers
To find the derivative of the function F(t) = 1³(316 + 21³) without using the product rule, we can simplify the expression and differentiate each term separately.
Given the function F(t) = 1³(316 + 21³), we can simplify it by evaluating the exponent and addition within the parentheses. This gives us F(t) = 1(316 + 9261).
To differentiate this function, we can treat it as a constant multiple of a sum. The derivative of a constant times a sum is equal to the constant times the derivative of each term. Since the constant 1 does not affect the derivative, we can focus on differentiating the expression (316 + 9261).
The derivative of a constant is zero, so we only need to differentiate the term 316 + 9261. The derivative of a constant is zero, so the derivative of 316 is zero. Similarly, the derivative of 9261 is also zero since it is a constant. Therefore, the derivative of F(t) is zero.
In conclusion, the derivative of F(t) = 1³(316 + 21³) without using the product rule is zero, as both terms within the parentheses are constants and their derivatives are zero.
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Taylor uses tape to mark a square play area in the basement for her daughter. The area measures 28 ft2. Is the side length of the square rational or irrational? Explain.
Answers
Answer:
28 is your area and it is a rational number it's never ending number
Step-by-step explanation:
The side length of the square is a rational.
What is the area of the basement?
Any lower storey of a structure that is partially or completely below the lowest contiguous proposed ground level is referred to as a basement floor, provided that the portion of the storey above ground level does not exceed 75 cm.
Given: Taylor uses tape to mark a square play area in the basement for her daughter.
The area measures 28 ft2.
We know that the area of square is side length square.
As the area measures 28 square feet, so the side length of the square is, 28 feet.
Since 28 is a rational number.
Therefore, the side length of the square is a rational.
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Help!
Find the distance between A and B .
Answers
Answer:
2.6
Step-by-step explanation:
1.3-(-1.3)
1.3+1.3
2.6
In a roll of aluminum foil, the inner cardboard tube has a diameter of 1.75 inches and a height of 18 inches I the tube is cut and unfolded to form a rectangle, what is the lateral area?
Answers
.
Therefore, we have:
length = 11 inches
width = 2(pi)r = 2(3.14)(1.7) = 2(3.14)(1.7/2)
width = (3.14)(1.7)
.
area of rectangle = length * width
area of rectangle = 11(3.14)(1.7) = 58.718 square inches
please solve asap :) thank youuu
Answers
Step-by-step explanation:
I'm pretty sure it would be 67
Select the correct answer from each drop-down menu.
The scatter plot shows the association between the population of various states in the United States and the number of cellular phone users in those states.
The association between the population and the number of cellular phone users is
and . If you were to add the following data to the scatter plot, the association would be
.
Population Cellular Phones
State A 23 million 16 million
State B 12 million 10 million
Answers
As per the scatter plot the association between the population of various states in the US and the number of cell phone users is strong, weak, and moderate. Thus option One is correct.
What is a scatter plot?A scatter plot is a scatter graph that shows and compares the individual values and correlates them with the variables.
Here the case of cell phones in the US is shown as strong as the line is positively correlated and more than half of the people use cell phones thus it's moderate.
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Answer:
strong
positive
the same
Step-by-step explanation: read the question instead of just copying and pasting into another tab its really simple. Strong because all the dots are really close to each other, positive becasue the dots are leading up, and the same because its literally the same if you put them 2 dots on
EDMENTUM this will correct
which is the smallest measurement used in the apothecary system for volume? a. apothecary b. metric c. minim d. household.
Answers
The smallest measurement used in the apothecary system for volume is the minim.
The apothecary system is an outdated system of measurements primarily used in pharmacy and medicine. It includes various units for measuring volume, weight, and other quantities.
In the apothecary system, the minim is the smallest unit of measurement for volume. It is equivalent to approximately 0.0616 milliliters.
The minim is a small unit of measurement and is typically used for precise dosing of liquids in the apothecary system. It is commonly used in pharmaceutical compounding and in the preparation of medications.
However, it's important to note that the apothecary system is no longer widely used in modern healthcare practices. The metric system, with units such as milliliters and liters, has become the standard for measuring volume in most countries.
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if the three angles of a triangle are equal what is the measurement of each angle
Answers
Answer: 60°
Step-by-step explanation: since all angles are equal so it is an Equilateral triangle and each angle would be 60° because sum of all angles in a triangle is 180°
find the slope of the line graphed below
Answers
Answer:
To find the slope of a line, we need to know the slope formula. The slope formula is:
m = , with m being the slope and (x₁, y₁) being the coordinates of one point and (x, y) being the coordinates of the other. Now we can substitute the values of the points in our problem ( (-1,-1) and (1, -4) ) into the slope formula. Substituting, we get:
=
==
=-1.5
That means the slope of our line is -1.5
Step-by-step explanation:
Algebra 2 help ASAP...23mins left!!!!
Answers
Answer:
D
Step-by-step explanation:
i have a website you can copy and paste things into
an equation calculator
Answer: D
Step-by-step explanation:
The allowable range for an objective function coefficient assumes that the original estimates for all the other coefficients are completely accurate so that this is the only one whose true value may differ from its original estimate.T/F
Answers
The given statement " The allowable range for an objective function coefficient assumes that the original estimates for all the other coefficients are completely accurate so that this is the only one whose true value may differ from its original estimate " is false because the allowable range for an objective function coefficient assumes that the original estimates for other coefficients are approximately correct
The allowable range for an objective function coefficient assumes that the original estimates for all the other coefficients are approximately correct, but not necessarily completely accurate. The allowable range takes into account the potential variability or uncertainty in the estimated values of the other coefficients, as well as the impact of any errors or discrepancies in the data used to estimate the model.
Therefore, the allowable range provides a range of values within which the objective function coefficient can vary while still producing a valid and useful model. It does not assume that the other coefficients are completely accurate or that this is the only coefficient whose true value may differ from its original estimate.
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