A) The probability that a randomly selected student studies only mathematics would be 20/75.
B) The probability that a randomly selected student studies mathematics or physics would be (20 + X) / 75.
C) The probability that a randomly selected student does not study either of the two subjects would be (75 - (20 + X)) / 75.
D) The exact probability that a student studies mathematics and physics cannot be determined without knowing the number of students who study both subjects.
To determine the requested probabilities, we will use the information provided about the group of 75 students.
a) Study only mate:
We know that there are 20 students studying mathematics and physics, so the number of students studying only mathematics would be the total number of students studying mathematics (20) minus the number of students studying both subjects. Since no information is provided on the number of students studying both subjects, we will assume that none of the students study both subjects. Therefore, the number of students studying only mathematics would be 20 - 0 = 20.
The probability that a randomly selected student studies only mathematics would be 20/75.
b) Study math or physics:
To determine this probability, we need to add the number of students who study mathematics and the number of students who study physics, and then subtract the number of students who study both subjects (we again assume that none of the students study both subjects).
Number of students studying mathematics = 20
Number of students studying physics = X (not given)
Number of students studying both subjects = 0 (assumed)
Therefore, the number of students studying mathematics or physics would be 20 + X - 0 = 20 + X.
The probability that a randomly selected student studies mathematics or physics would be (20 + X) / 75.
c) That he does not study either:
The number of students not studying either subject would be the complement of the number of students studying mathematics or physics. So it would be 75 - (20 + X).
The probability that a randomly selected student does not study either of the two subjects would be (75 - (20 + X)) / 75.
d) To study math and physics:
Since no information is provided on the number of students studying both subjects, we cannot determine the exact probability that a student will study mathematics and physics.
In summary:
a) The probability that a randomly selected student studies only mathematics would be 20/75.
b) The probability that a randomly selected student studies mathematics or physics would be (20 + X) / 75.
c) The probability that a randomly selected student does not study either of the two subjects would be (75 - (20 + X)) / 75.
d) The exact probability that a student studies mathematics and physics cannot be determined without knowing the number of students who study both subjects.
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Which model represents a percent error of 25%?
A- A model with 12 squares labeled exact value and 3 squares labeled error.
B- A model with 10 squares labeled exact value and 5 squares labeled error.
C- A model with 9 squares labeled exact value and 3 squares labeled error.
D- A model with 8 squares labeled exact value and 4 squares labeled error.
The correct answer is A- A model with 12 squares labeled exact value and 3 squares labeled error.
To determine which model represents a percent error of 25%, we need to compare the number of squares labeled "exact value" and "error" in each model and calculate the ratio between them.
Let's calculate the ratio for each model:
Model A: 3 squares labeled error / 12 squares labeled exact value = 0.25 or 25%.
Model B: 5 squares labeled error / 10 squares labeled exact value = 0.5 or 50%.
Model C: 3 squares labeled error / 9 squares labeled exact value ≈ 0.3333 or 33.33%.
Model D: 4 squares labeled error / 8 squares labeled exact value = 0.5 or 50%.
From the calculations, we can see that only Model A represents a percent error of 25%. The other models have ratios of 50% and 33.33%, which do not match the desired 25% error.
Consequently, the appropriate response is A- A model with 12 squares labeled exact value and 3 squares labeled error.
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Tell whether the information in the diagram allows you to conclude that c is on the perpendicular bisect of ab
11. Yes, the information provided can be used to conclude that C is on the perpendicular bisector of AB because CE bisects AB.
12. Yes, the information provided can be used to conclude that C is on the perpendicular bisector of AB because C is equidistant from AB.
What is a perpendicular bisector?In Mathematics and Geometry, a perpendicular bisector divides or bisects a line segment exactly into two (2) equal halves, in order to form a right angle with a magnitude of 90° at the point of intersection.
Question 11.
By critically observing the geometric shape, we can logically deduce that there is enough information to conclude that C is on the perpendicular bisector of AB because CE bisects AB:
AC ≅ BC
CD ≅ CD
AE ⊥ EC
Question 12.
By critically observing the geometric shape, we can logically deduce that there is enough information to conclude that C is on the perpendicular bisector because C is equidistant from line segment AB.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
What is the answer 2x2+6
Answer:
2×2=44+6=10Step-by-step explanation:
First, we multiply 2×2 then the answer we obtain we add to it 6 which in total gives us 10
Juan has some dimes and some quarters. He has no less than 20 coins worth a maximum of $2.75 combined. If Juan has 18 dimes, determine the maximum number of quarters that he could have. If there are no possible solutions, submit an empty answer.
Juan could have a maximum of 3 quarters.
1. Let's assume Juan has x quarters.
2. The value of x quarters in dollars would be 0.25x.
3. We are given that Juan has 18 dimes, which have a value of 0.10 * 18 = $1.80.
4. The combined value of Juan's dimes and quarters should be less than or equal to $2.75.
5. We can write the equation: 0.25x + 1.80 ≤ 2.75.
6. Subtracting 1.80 from both sides of the equation, we have: 0.25x ≤ 2.75 - 1.80.
7. Simplifying, we get: 0.25x ≤ 0.95.
8. Dividing both sides of the inequality by 0.25, we have: x ≤ 0.95 / 0.25.
9. Evaluating the expression, we find: x ≤ 3.8.
10. Since Juan cannot have a fraction of a quarter, the maximum number of quarters he could have is 3.
11. However, we need to check if the combined value of the dimes and quarters is at least $0.20.
12. If Juan has 3 quarters (0.25 * 3 = $0.75) and 18 dimes ($1.80), the combined value is $0.75 + $1.80 = $2.55.
13. Since $2.55 is less than $2.75, Juan can have 3 quarters.
14. Therefore, the maximum number of quarters Juan could have is 3.
Note: There are no possible solutions where Juan has more than 3 quarters and still satisfies the conditions.
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What is the solution to the equation below In X=3.1
Answer:
the solution would be X=3 as 3.1 represents 3×1.
Please answer ASAP I will brainlist
Answer:
f(0) = 1
f(1) = 21.1
Step-by-step explanation:
Do as the problem says:
[tex]f(0)=4^{2.2(0)}=4^0=1\\f(1)=4^{2.2(1)}=4^{2.2}\approx21.1[/tex]
Please answer ASAP I will brainlist
(a) The average cost in 2011 is $2247.64.
(b) A graph of the function g for the period 2006 to 2015 is: C. graph C.
(c) Assuming that the graph remains accurate, its shape suggest that: A. the average cost increases at a slower rate as time goes on.
How to estimate the average cost in 2011?Based on the information provided, we can logically deduce that the average annual cost (in dollars) for health insurance in this country can be approximately represented by the following function:
g(x) = -1736.7 + 1661.6Inx
where:
x = 6 corresponds to the year 2006.
For the year 2011, the average cost (in dollars) is given by;
x = (2011 - 2006) + 6
x = 5 + 6
x = 11 years.
Next, we would substitute 11 for x in the function:
g(11) = -1736.7 + 1661.6In(11)
g(11) = $2247.64
Part b.
In order to plot the graph of this function, we would make use of an online graphing tool. Additionally, the years would be plotted on the x-axis while the average annual cost would be plotted on the x-axis of the cartesian coordinate as shown below.
Part c.
Assuming the graph remains accurate, the shape of the graph suggest that the average cost of health insurance increases at a slower rate as time goes on.
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PLS HELP WILL GIVE BRAINLIEST IF ANSWER IS CORRECT (NO LINKS)
Identify the arc length of MA◠ in terms of a and rounded to the nearest hundredth.
The length of the arc in terms of π and the actual length is as follows;
8.17π m²
25.68 m²
How to find arc length?Let's find the length of the arc of the circle as follows:
Therefore,
length of an arc = ∅ / 360 × 2πr
where
r = radius∅ = central angleHence,
∅ = 180 - 88 = 92 degrees
r = 16 m
length of an arc MA = 92 / 360 × 2 × π × 16
length of an arc MA = 2944π / 360
length of an arc MA = 8.17π
Therefore,
length of an arc MA = 25.68 m²
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NO LINKS!! URGENT HELP PLEASE!!
Please help with 37
Answer:
Step-by-step explanation:
all circles have same round shape with no edges and corners so they all are similar in terms of their shape and appearance but not all the circles are congruent.
two circles are congruent if they have the same measurements of radius, circumference, diameter as well as the surface area. So, to determine whether the two circles are congruent or not we have to perform the calculations.
Listed are 30 ages for Academy Award-winning best actors in order from smallest to largest.
12 14
22 23
35 37
15 20 21
26 28
38 39
47 52
53 55
58 60
61 66 70
72 73 75 78 79
784854
34
40
Find the percentile for age 40.
Answer:
Step-by-step explanation:
12 14 33 35========1,234,000,124,581.
Which inequality is equivalent to the given inequality? -4(x + 7) < 3(x - 2)
Answer:
Step-by-step explanation:
We must simplify and rearrange the variables to divide x in order to determine the comparable inequality to the supplied inequality, -4(x + 7) 3(x - 2).
Below are the steps to solve the problem:
-4(x + 7) < 3(x - 2)
Expanding the equation:
-4x-28<3x-6
Gather the variable term on one side and constants on the other:
Adding -4x and 28 on both sides:
-4x + 4x - 28 + 28 < 3x + 4x - 6 + 28
=>0 < 7x + 22
To make the coefficient of x positive, we divide the entire inequality by 7:
0/7 < (7x + 22)/7
=> 0 < x + 22/7
hmm this is tricky help
The diameter of the engine cylinder can be within the range of 4.995 cm to 5.005 cm (option e).
Given that the diameter of the engine cylinder needs to be 5 cm wide with a tolerance of ± 0.005 cm.
To determine the permissible range of the diameter, we need to consider both the upper and lower limits.
Upper limit: Add the tolerance to the desired diameter.
Upper limit = 5 cm + 0.005 cm = 5.005 cm.
Lower limit: Subtract the tolerance from the desired diameter.
Lower limit = 5 cm - 0.005 cm = 4.995 cm.
Therefore, the permissible range for the diameter of the engine cylinder is between 4.995 cm and 5.005 cm.
Hence, the final answer is that the diameter of the engine cylinder can be within the range of 4.995 cm to 5.005 cm.
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What is the square root of m^6?
m²
m³
m^4
m^5
The square root of m^6 is always positive.
The square root of m^6 can be calculated by dividing the exponent 6 by 2, since taking the square root is equivalent to raising a number to the power of 1/2.
In this case, m^6 divided by 2 gives us m^3.
Thus, the square root of m^6 is m^3.
This means that if we square m^3, the result will be m^6.
It is important to understand that the square root operation yields the positive root, so the square root of m^6 is always positive.
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B
C
W
A
E
Use the given diagram to answer the question,
Which line is the intersection of two of the planes
shown?
Which line intersects one of the planes shown?
Which line has points on three of the planes shown?
G
The line that intersects two of the planes is : Line X
The line that intersects one of the planes is : Line Z
The line that that has points on three of the planes shown is Line Y
How to find the intersection line on the plane?From this figure you can see that there are 3 different levels and 3 different lines. One line intersects two planes (line X), another line intersects only one plane (line Z). Line Y, on the other hand, has points in all three planes.
A line y has points A and B in all three planes.
A plane is simply a plane that can be intersected by a straight line connecting any two points on the plane.
Therefore, we can conclude from the figure
A line that intersects two planes is: line x
A line that intersects one of the planes is: line Z
A line with points on the three planes shown is Line Y.
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A given city is at 35°S and 200°W. How far is it from this city to A. the North Pole and B. the Equator C. the south pole
The distance from the given city to the South Pole is 125 degrees of latitude.
To determine the distance from the given city to various locations, we need to consider the latitude and longitude coordinates.
Distance to the North Pole:
The North Pole is located at 90°N latitude. Since the given city is at 35°S latitude, we need to calculate the difference in latitude between the city and the North Pole.
Distance to the North Pole = 90° - 35° = 55°
The distance from the given city to the North Pole is 55 degrees of latitude.
Distance to the Equator:
The Equator is located at 0° latitude. To determine the distance from the city to the Equator, we need to calculate the absolute value of the latitude of the city.
Distance to the Equator = |35°| = 35°
The distance from the given city to the Equator is 35 degrees of latitude.
Distance to the South Pole:
The South Pole is located at 90°S latitude. Since the given city is at 35°S latitude, we need to calculate the difference in latitude between the city and the South Pole.
Distance to the South Pole = 35° - (-90°) = 35° + 90° = 125°
The distance from the given city to the South Pole is 125 degrees of latitude.
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3
Which expression is equivalent to -x--xy?
2x-xy?
4
x(3-y)
4x(3-y)
x(3+y)
4x(3 + y)
The expression equivalent to -x--xy is 4x(3 + y).
To simplify the expression -x--xy, we can apply the rules of combining like terms and distribute the negative sign.
-x - (-xy)
Removing the double negative:
-x + xy
Factoring out the common factor of x:
x(-1 + y)
Now, let's compare the simplified expression with the given options:
Option 1: 2x - xy
This expression is not equivalent to -x - (-xy) as it includes an additional term of 2x.
Option 2: x(3 - y)
This expression is equivalent to the simplified expression x(-1 + y), as it represents the distribution of x over the terms inside the parentheses.
Option 3: 4x(3 - y)
This expression is not equivalent to -x - (-xy) as it includes the constant term 4.
Option 4: x(3 + y)
This expression is not equivalent to -x - (-xy) as it includes the positive sign before the y term.
Option 5: 4x(3 + y)
This expression is not equivalent to -x - (-xy) as it includes the constant term 4 and the positive sign before the y term.
From the given options, the expression that is equivalent to -x - (-xy) is:
Option 2: x(3 - y).
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Evaluate the following expression when a = 5 and b = 1. Then, plot the resulting value on the provided number line. 12+2 (4 a²) ÷ 7 + 8
Answer:
To evaluate the expression when a = 5 and b = 1, we substitute the values into the expression:
12 + 2(4(5)²) ÷ 7 + 8
= 12 + 2(4 * 25) ÷ 7 + 8 (Note: 5² means 5 raised to the power of 2)
= 12 + 2(100) ÷ 7 + 8 (Note: 4 * 25 = 100)
= 12 + 200 ÷ 7 + 8
= 12 + 28.57 + 8 (Note: ÷ means divide)
= 48.57
To plot the resulting value on the provided number line , we would need to know the scale and range of the number line. Without this information, we cannot accurately plot the value.
Step-by-step explanation:
A scatterplot includes data showing the relationship between the value of a painting and the age of the painting.
Which graph displays the line of best fit for the data?
A graph has age (years) on the x-axis and value (dollars) on the y-axis. A line with best fit is too steep.
A graph has age (years) on the x-axis and value (dollars) on the y-axis. A line with best fit is not steep enough.
A graph has age (years) on the x-axis and value (dollars) on the y-axis. A line with best fit is not steep enough.
A graph has age (years) on the x-axis and value (dollars) on the y-axis. A line with best fit goes through the points.
Mark this and return
The graph that displays the line of best fit for the data is the one where the line with the best fit goes through the points.
To determine which graph displays the line of best fit for the data, we need to analyze the provided options and identify the one that represents the relationship between the value of a painting and the age of the painting accurately.In a scatterplot, the line of best fit represents the trend or relationship between the two variables. It aims to summarize and capture the general pattern of the data points. The line of best fit should pass through the data points in a way that represents the overall trend.Analyzing the options, we see that three of them mention that the line with the best fit is either too steep or not steep enough. These options suggest that the line does not accurately capture the trend of the data.However, the remaining option states that the line with the best fit goes through the points. This implies that the line accurately represents the relationship between the value of a painting and the age of the painting by passing through the data points.Based on this analysis, we can conclude that the graph where the line of best fit goes through the points is the one that displays the most accurate representation of the relationship between the value of a painting and the age of the painting.For more such questions on graph, click on:
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28. You are skiing on a mountain with an altitude of 1000 feet. The angle of depression is 19°. Find the distance you ski down the mountain. Draw a diagram to represent the situation. Round final answer to the nearest tenth.
Answer:
3071.6 ft
Step-by-step explanation:
In this situation,
We can use sine law,
in which Sin angle = opposite side/ hypotenuse
Similarly
In triangle ABC
SIn A=BC/AC
Sin 19°=1000/AC
Doing criss cross multiplication:
AC= 1000/(Sin 19°)
AC=3071.55 ft
Therefore, the distance I ski down the mountain is 3071.6 ft
The diagram is below.
==============================================
Work Shown:
sin(angle) = opposite/hypotenuse
sin(19) = 1000/x
xsin(19) = 1000
x = 1000/sin(19)
x = 3071.553487
x = 3071.6
Refer to the diagram below.
Note that the angle of depression ACD is equal to the angle of elevation BAC because of the alternate interior angles theorem.
Estimate the variation (strength) of the correlation of the scatter plot shown.
a.
moderate correlation
b.
no correlation
c.
strong correlation
d.
weak correlation
need now mamayang 11pm na pasahan
The strength of the correlation as shown in the scatter plot can be concluded to be: b) no correlation.
How to Estimate the variation (strength) of the correlation of a scatter plot shown?To estimate the strength of the correlation in a scatter plot, visually assess the clustering and linearity of the data points. If the points cluster tightly around a linear trend, it indicates a strong correlation, whereas dispersed and non-linear points suggest a weak correlation.
However, if the points on a scatter plot do not exhibit a discernible pattern (as shown in the image given above), it can be concluded that there is no correlation between the variables being plotted.
Therefore, the answer is: b. no correlation.
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Find the surface area of the regular pyramid shown to the nearest whole number.
to scale.
13 m
6.5-√3 m
9m
Suppose that the relation H is defined as follows. H = {(9, 3), (8, p), (3, q), (8, 0)) Give the domain and range of H. Write your answers using set notation.
Answer:
See below
Step-by-step explanation:
Domain would be all the x-values, so this is {3, 8, 8, 9}
Range would be all the y-values, so this is {0, 3, p, q}
pls pls pls help
Based on the graph of F(x) below, which of the following statements is true
about F(x)?
The correct statement regarding the relative extremas of F(x) is given as follows:
F(x) has a relative maximum at x = -1 and a relative minimum at x = -0.8.
What are the relative minimums and the relative maximums of a function?The relative minimums of a function are given by the points in which the function's behavior changes from decreasing to increasing.The relative maximums of a function, meanwhile, are given by the points in which the function's behavior changes from increasing to decreasing.Hence the extremas for this problem are given as follows:
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(|7 − 3 x 5) | ÷ 4)³ + √64
Answer:
16
Step-by-step explanation:
(|7 − 3 x 5| ÷ 4)³ + √64
(|7 − 3 x 5| ÷ 4)³ + √64
(|7 − 15| ÷ 4)³ + √64
(|7 − 15| ÷ 4)³ + √64
(8 ÷ 4)³ + √64
(8 ÷ 4)³ + √64
2³ + √64
8 + 8
16
Answer:
16
Step-by-step explanation:
To solve, use PEMDAS as it applies to the expression.
First, you must carry out what is in the parenthesis.
Multiply (3*5 = 15), then subtract (7 - 15 = -8). The two little vertical lines surrounding (7 - 3 x 5) mean absolute value. This means that you will write -8 as +8.
Continuing on in the parenthesis, carry out (8 ÷ 4 = 2).
Next, we must do exponents.
We see that everything in the parenthesis is being raised to the power of three (cubed). Since we've solved what was in the parenthesis, we simply need to carry out ([tex]2^{3}[/tex] = 8).
Now, we need to quickly carry out [tex]\sqrt{64}[/tex]. Square roots are just whatever number can be multiplied by itself to get, in this case, 64.
[tex]\sqrt{64} = 8[/tex].
Finally, we must add what remains.
8 + 8 = 16.
So, (|7 - 3 x 5) | ÷ [tex]4)^{3}[/tex] + [tex]\sqrt{64}[/tex] = 16.
3. Pi is defined as the ratio of the circumference of a circle to the diameter of that circle. Which of the following correctly explains why the formula for the circumference of a circle is 2 mr 7 (1 point)
Two times equals the distance from one side of the circle to the other. When you multiply that by r, you get the distance around the circle, or the circumference.
Pi times requals the diameter of the circle. The diameter is half the circle, so when you multiply it by 2, you get the distance around the entire circle, or the circumference.
Two times requals the diameter of the circle. Pi is needed for all circle formulas, so you multiply by since you are finding the circumference.
Two times requals the diameter of the circle. Pi equals the circumference divided by the diameter. When you multiply, the diameter is in both the numerator and the denominator, which cancels out, leaving the circumference.
Answer:
The correct answer is "Two times r equals the diameter of the circle. When you multiply that by pi, you get the distance around the circle, or the circumference." This is because the circumference of a circle is equal to the distance around it, which is the same as the length of its perimeter. The diameter of a circle is the straight line that passes through the center of the circle and touches both sides. Therefore, if you multiply the diameter by pi, which is the ratio of the circumference to the diameter of a circle, you get the circumference. Alternatively, you can also use the formula C = 2πr, where C is the circumference and r is the radius of the circle. Since the radius is half the diameter, the formula can also be stated as C = πd, where d is the diameter of the circle.
Step-by-step explanation:
Please answer ASAP I will brainlist
Answer:
Step-by-step explanation:
(a) To find the linear cost function C(x), we need to consider the fixed cost and the marginal cost. The fixed cost is $100, and the marginal cost is $8 per pair of earrings.
The linear cost function can be represented as C(x) = mx + b, where m is the slope (marginal cost) and b is the y-intercept (fixed cost).
In this case, the slope (m) is $8, and the y-intercept (b) is $100. Therefore, the linear cost function is:
C(x) = 8x + 100.
(b) The average cost function (AC) can be found by dividing the total cost (C(x)) by the number of units produced (x):
AC(x) = C(x) / x.
Substituting the linear cost function C(x) = 8x + 100, we have:
AC(x) = (8x + 100) / x.
(c) To find C(5), we substitute x = 5 into the linear cost function:
C(5) = 8(5) + 100
= 40 + 100
= 140.
Interpretation: C(5) = 140 means that when the artist produces 5 pairs of earrings, the total cost (including fixed and variable costs) is $140.
(d) To find C(50), we substitute x = 50 into the linear cost function:
C(50) = 8(50) + 100
= 400 + 100
= 500.
Interpretation: C(50) = 500 means that when the artist produces 50 pairs of earrings, the total cost (including fixed and variable costs) is $500.
(e) The horizontal asymptote of C(x) represents the cost as the number of units produced becomes very large. In this case, the marginal cost is constant at $8 per pair of earrings, indicating that as the number of units produced increases, the cost per unit remains the same.
Therefore, the horizontal asymptote of C(x) is $8, indicating that the average cost per pair of earrings approaches $8 as the number of units produced increases indefinitely.
In practical terms, this means that for every additional pair of earrings produced beyond a certain point, the average cost will stabilize and remain around $8, regardless of the total number of earrings produced.
What is the radius of a circle that has a circumference of 68 cm
Step-by-step explanation:
The formula to calculate the circumference (C) of a circle is C = 2πr, where r represents the radius of the circle.
In this case, the given circumference is 68 cm. Plugging this value into the formula, we can solve for the radius (r):
68 = 2πr
To find the radius, we can divide both sides of the equation by 2π:
r = 68 / (2π)
Using an approximate value of π ≈ 3.14159, we can calculate the radius:
r ≈ 68 / (2 × 3.14159) ≈ 10.8419 cm
Therefore, the radius of the circle, which has a circumference of 68 cm, is approximately 10.8419 cm.
Therefore, The Radius of the Circle is 10.8 cm.
In 2010, the population of Houston, Texas, was 2,099,451. In 2017, Houston's population was estimated to be 2,312,717. What is the estimated annual growth rate of Houston's population?
Answer:
it 10:579
Step-by-step explanation:
it is the anser
help please its due in 50 minutes ill mark brainliest answer too and no need to show work
The height, h, of the cylinder is approximately 1.27 centimeters when the volume is 100 cm^3 and the radius is 5 cm, rounded to the nearest tenth.
To find the height, h, of the cylinder, we can rearrange the formula for the volume of a cylinder:
V = πr^2h
Given that the volume, V, is 100 cm^3 and the radius, r, is 5 cm, we can substitute these values into the formula:
100 = π(5^2)h
Simplifying further:
100 = 25πh
To solve for h, divide both sides of the equation by 25π:
100 / (25π) = h
To calculate the value, we'll use an approximation for π as 3.14:
100 / (25 * 3.14) ≈ h
Simplifying:
100 / 78.5 ≈ h
h ≈ 1.27 cm
Therefore, when the volume is 100 cm3 and the radius is 5 cm, the cylinder's height, h, is about 1.27 centimetres, rounded to the closest tenth.
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The length of ribbons found at a seamstress are listed.
3, 11, 11, 13, 13, 21
What is the appropriate measure of variability for the data shown, and what is its value?
The mean is the best measure of variability and equals 11.
The median is the best measure of variability and equals 11.5.
The range is the best measure of variability and equals 18.
The IQR is the best measure of variability and equals 2.