Answers
We will analyze this triangle, as we can see we have a right triangle so we can use the trigonometric functions
\(\begin{gathered} \tan (45)=\frac{24}{w} \\ w=\frac{24}{\tan (45)} \\ w=24 \end{gathered}\)\(\begin{gathered} \cos (45)=\frac{24}{x} \\ x=\frac{24}{\cos (45)}= \\ x=24\sqrt[]{2} \end{gathered}\)Then we have
\(\begin{gathered} \tan (60)=\frac{24}{y} \\ y=\frac{24}{\tan60}=8\sqrt[]{3} \end{gathered}\)\(\begin{gathered} \sin (60)=\frac{24}{z} \\ z=\frac{24}{\sin (60)} \\ z=16\sqrt[]{3} \end{gathered}\)
Related Questions
Mathematics, 17.03.2021 23:50 burners
In a class of 80 students,40 study physics,48study mathematics and 44 study chemistry,20 study physics and mathematics,24 study physics and chemistry and 32 study only two of the three subjects. Of every student studies at least one of the three subjects. Find ; 1.The number of students who study all the three subjects.2.The number of students who study only mathematics and chemistry.
Answers
9514 1404 393
Answer:
10 study all three8 study only math and chemStep-by-step explanation:
1. Adding the numbers of those who study a given subject counts ...
once -- those who study only one subjecttwice -- those who study exactly two subjectsthree times -- those who study all three subject.That total is 40 +48 +44 = 132. When we subtract from this the total number of students, we get 132 -80 = 52, the number who study exactly 2 subjects plus twice the number who study all three.
From this, we can subtract the number who study exactly 2 subjects, leaving twice the number who study all three. 52 -32 = 20. So, 10 students study all three subjects.
__
2. Adding the numbers of those who study physics and another subject, we have 20+24 = 44. Subtracting twice the number who study all three gives the total of those how study only two subjects, one of which is physics. That total is 44 -20 = 24. So, of those 32 who study exactly two subjects, the remaining 32 -24 = 8 must be students who study only math and chemistry.
_____
It may be helpful to see the matrix of equations the problem statement describes. If we use the variables m, p, c, mp, mc, pc, mpc in that order to represent numbers of 1-subject, 2-subject, and 3-subject students, the augmented matrix looks like this.
\(\left[\begin{array}{ccccccc|c}1&1&1&1&1&1&1&80\\0&1&0&1&0&1&1&40\\1&0&0&1&1&0&1&48\\0&0&1&0&1&1&1&44\\0&0&0&1&0&0&1&20\\0&0&0&0&0&1&1&24\\0&0&0&1&1&1&0&32\end{array}\right]\)
The solution is m=20, p=6, c=12, mp=10, mc=8, pc=14, mpc=10. The bold values are the ones this question is asking about.
Determine if the graph is a function.
Answers
Answer:
1. not a function
2. function
3. function
Step-by-step explanation:
ask yourself..."does it pass the vertical line test?"
what is the slope of the line !?!?!
Answers
Answer:
Slope is -2
Step-by-step explanation:
which expression represents a number that is one fourth as great as 10 - 29
(10 - 2) - 4
(10-2) + 4
(10-2) - 4
Answers
Answer:
B. (10-2)÷4
Step-by-step explanation:
Which expression represent a number that is one fourth as great as 10-2
A. (10-2)+4
B. (10-2)÷4
C. (10-2)-4
D. (10-2)×4
Solution
one fourth as great as 10-2
One fourth means 1/4
one fourth as great as 10-2
means 1/4 × (10-2)
= 1/4(10 - 2)
= (10-2) / 4
Can also be written as
(10-2) ÷ 4
Answer is
B. (10-2)÷4
Simplifying
(10-2) ÷ 4
= 8÷2
= 4
Answer:
(10-2)÷4
Step-by-step explanation:
Area of Rectangles
Best answer marks branlist!
Answers
Answer:
rectangle above = 3 x 5 = 15 cm²
rectangle below = 8 x 5 = 40 cm²
10v-6v=28
Simplify your answer as much as possible
Answers
Step-by-step explanation:
10v-6v=28
4v=28
v=28/4
v=7
Answer:
10v-6v=28
or, 4v = 28
or, v = 28/4
or, v = 7
hence 7 is the required value of v
Determine the largest power of 10 that is a factor of the following numbers (equivalently, the number of terminal 0's, using ordinary base 10 representation):(a) 50!.
(b) 1000!.
Answers
The largest power of 10 that is a factor of 1000! is 5^249, or 10^249.
(a) To find the largest power of 10 that is a factor of 50!, we need to count the number of factors of 5 in 50! since each factor of 5 contributes at least one factor of 10.
There are 10 multiples of 5 in 50!, namely 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50. Each of these contributes one factor of 5. There are also 2 multiples of 25 (25 and 50), each of which contributes an additional factor of 5. Therefore, the total number of factors of 5 in 50! is 10 + 2 = 12.
Since each factor of 10 contains one factor of 5 and one factor of 2, we also need to count the number of factors of 2. It is clear that there are more factors of 2 than factors of 5, so we only need to count the factors of 5. Therefore, the largest power of 10 that is a factor of 50! is 5^12, or 10^12.
(b) To find the largest power of 10 that is a factor of 1000!, we follow the same reasoning as in part (a). The number of factors of 5 in 1000! is:
⌊1000/5⌋ + ⌊1000/25⌋ + ⌊1000/125⌋ + ⌊1000/625⌋ = 200 + 40 + 8 + 1 = 249
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Steven is 42 inches tall. On average he grows at a rate of 5.5% each year. How tall will
Steven be in 3 years?
Answers
Answer:
about 49.3 inches
Step-by-step explanation:
\(42 \times {1.055}^{3} = 49.318\)
help please! 16 points
Answers
Answer:
3
Step-by-step explanation:
divide the top number by the bottom to always find the constant of proportionality :D
Answer:
3
Step-by-step explanation:
y is being multiplied by 3 to get the x values. Hope this helped you!! Give brainliest.
1) Bianca ordered a shirt online that cost her $23 total.
The package arrived late so the seller took 4% off the
price. How much did she end up paying?
Answers
Answer:
Bianca is paying $22.08
Step-by-step explanation:
If the Shirt Cost 23$ in total, and the seller took 4% off the original price, Which means
4% of 23$ = 0.92 cents, now clearly it says "IT TOOK OFF"
So, now you subtract 0.92 from the original price, to find the new price.
Here the original price is 23$,
23$ - 0.92 = 22.08$, so that means...
Bianca ended up paying $22.08
(1 point) The expression
where n, the leading coefficient, is:
and r, the exponent of a, is: 3
and S, the exponent of b, is: 10
and finally t, the exponent of c, is: 15
(5b¹c-5)-³(4b⁰a²)-5 equals na'bs ct
I
NOTE: The value for n may be given as a fraction or as a just number. All other values must be
Note: You can earn partial credit on this problem.
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our score was recorded.
Submit Answers
Answers
Answer:
n = 1/128000r = -10s = -3t = 15Step-by-step explanation:
You want the simplified form of (5b^1c^-5)^-3(4b^0a^2)^-5.
Rules of exponentsThere are several useful rules of exponents here:
(ab)^c = (a^c)(b^c)
(a^b)^c = a^(bc)
a^-b = 1/(a^b)
ApplicationSimplifying the top-level exponents first, we have ...
\((5b^1c^{-5})^{-3}(4b^0a^2)^{-5}=(5^{-3}b^{1(-3)}c^{(-5)(-3)})(4^{-5}b^{0(-5)}a^{2(-5)})\\\\=(5^{-3}4^{-5})a^{-10}b^{-3+0}c^{15}=\dfrac{1}{5^34^5}a^{-10}b^{-3}c^{15}=\boxed{\dfrac{1}{128000}a^{-10}b^{-3}c^{15}}\)
In terms of answer requirements:
n = 1/128000
r = -10
s = -3
t = 15
Divide. round your answer to the nearest hundredeth: 1 divided by 3 = the steps are decimals?
Answers
Answer: 1/3 or 1 divided by 3 is equivalent to 0.333333
Answer:
0,33
Step-by-step explanation:
this for sure.......
-5w+3(w+8)=26 solve for w ?
Answers
Answer:
w = -1
Step-by-step explanation:
What is the equation of a horizontal line that passes through the point (-3, 4)?
A. y=3 B. y=-3 C. y=4 D.y=-4
Answers
Answer: C
Step-by-step explanation:
Since the points are ( -3,4 ) it passes through 4 in the y axis.
Meaning it will pass through 4 which is C.
Answer:
y = 4
Step-by-step explanation:
is is 6 2/7 rational or irrational
is -19 rational or irrational
is -√100 rational or irrational
Answers
Step-by-step explanation:
6 2/7is rational
-19is rational but next I dont know
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
A. The area of the triangle is 108 mm².
B. The area of parallelogram is 286√2 in²
How to find the area of each parallelogram of triangle?A. Area of a triangle (A) = 1/2 * Base (b) * Height (h)
We have:
b = 18 mm
h = 12 mm
Thus:
A = 1/2 * 18 * 12
A = 108 mm²
B. The area of parallelogram is given by:
A = b * h
where b is the base and h is the height
We have:
b = 26 in
Using trig.:
sin 45 = h/22
h = 22 * sin 45
h = 11√2 in
Thus,
A = 26 * 11√2
A = 286√2 in²
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8. How many different pizzas can be made with 4 types of crust, 2 types of cheese, and 7 different toppings if each pizza has 1 crust, 1 cheese, and 1 topping?
Answers
Problem statement: The menu at a pizza place lets you pick one of two crust types, one of three sauces, one of five types of cheese, and any number of seven different toppings. How many possible different pizzas can you order that have exactly three different toppings?
Be very careful to read this question critically and to enumerate the number of items correctly:
"one of two crust types" 2 possibilities
"one of three sauces" 3 possibilities
"one of five types of cheese" 5 possibilities
"any number of seven different toppings"
many possibilities (none, any combination of {a,b,c,d,e,f or g})
However, "exactly three different toppings" (not cheeses or sauces) means that you are choosing 3 of 7 toppings (and that's all that this problem asks you).
So, nCr = n! / ((n-r)!r!) ["n choose r"; n=7; r=3]
7C3 = 7! / (4!3!)
7C3 = 5040/144
7C3 = 35
State where in the ty-plane the hypotheses of the Existence and Uniqueness Theorem are satisfied for the equation y'=(ycot(2t))/(t^2+y^2+1)
Answers
We can conclude that the hypotheses of the Existence and Uniqueness Theorem are satisfied in any rectangular region in the ty-plane that does not contain the curve t² + y² = -1.
Where in the ty-plane the hypotheses of the existence and uniqueness theorem are satisfiedThe Existence and Uniqueness Theorem for first-order ordinary differential equations states that if a differential equation of the form y' = f(t, y) satisfies the following conditions in some rectangular region in the ty-plane:
1. f(t, y) is continuous in the region.
2. f(t, y) satisfies a Lipschitz condition in y in the region, i.e., there exists a constant L > 0 such that |f(t, y₁) - f(t, y₂)| ≤ L|y₁ - y₂| for all t and y₁, y₂ in the region.
then there exists a unique solution to the differential equation that passes through any point in the region.
In the case of the differential equation y' = (y cot(2t)) / (t² + y² + 1), we have:
f(t, y) = (y cot(2t)) / (t² + y² + 1)
This function is continuous everywhere except at the points where t² + y² + 1 = 0, which is the curve t² + y² = -1 in the ty-plane. Since this curve is not included in any rectangular region, we can say that f(t, y) is continuous in any rectangular region in the ty-plane.
To check if f(t, y) satisfies a Lipschitz condition in y, we can take the partial derivative of f with respect to y and check if it is bounded in any rectangular region. We have:
∂f/∂y = cot(2t) / (t² + y² + 1) - (2y² cot(2t)) / (t² + y² + 1)²
Taking the absolute value and simplifying, we get:
|∂f/∂y| = |cot(2t) / (t² + y² + 1) - (2y² cot(2t)) / (t² + y² + 1)²|
= |cot(2t) / (t² + y² + 1)| * |1 - (2y² / (t² + y² + 1)))|
Since 0 ≤ (2y² / (t² + y² + 1)) ≤ 1 for all t and y, we have:
1/2 ≤ |1 - (2y² / (t² + y² + 1)))| ≤ 1
Also, cot(2t) is bounded in any rectangular region that does not contain the points where cot(2t) is undefined (i.e., where t = (k + 1/2)π for some integer k). Therefore, we can find a constant L > 0 such that |∂f/∂y| ≤ L for all t and y in any rectangular region that does not contain the curve t² + y² = -1.
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what is relative intrest
Answers
Relative interest refers to the comparison of interest rates between different financial instruments or investment opportunities. It allows individuals or investors to assess and evaluate the attractiveness of various options based on their potential returns.
1. Understand the basic concept: Interest is the cost of borrowing money or the return earned on invested funds. Relative interest involves comparing the interest rates of different financial instruments or investments to determine which one offers a more favorable return.
2. Identify the investment options: Start by identifying the different investment opportunities or financial instruments available. These can include savings accounts, certificates of deposit (CDs), bonds, stocks, or other investment vehicles.
3. Research interest rates: Research and gather information about the current interest rates offered by each investment option. This information can usually be found on financial websites, through financial institutions, or by consulting with a financial advisor.
4. Compare interest rates: Once you have the interest rates for each investment option, compare them side by side. Look for the differences in rates and identify which options offer higher or lower returns.
5. Assess risk and return: Consider the level of risk associated with each investment option. Higher returns often come with higher risk, so it's essential to evaluate the risk-reward tradeoff.
6. Make an informed decision: Based on the comparison of interest rates and the risk-reward assessment, make an informed decision on which investment option aligns with your financial goals and risk tolerance.
Always remember to consider your financial goals, risk tolerance, and consult with a financial advisor if needed.
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PLEASEEE HELP MEEE!!!!!!!!!!!!!!
Answers
<L
4(7)+1728+1745°Now
<N
180-(45+84)180-12951°y
2x+y=51
2(7)+y=5114+y=51y=37Answer:
x = 7
y = 37
Step-by-step explanation:
Congruent: If two figures are congruent, they have the same shape and the same size.
Therefore, if the given triangles are congruent, the measures of their angles and sides will be the same (equal).
To find the value of x that will result in ΔLMN≅ΔPQR, equate the measure of angle P and angle L, then solve for x:
⇒ m∠P = m∠L
⇒ (7x - 4)° = (4x + 17)°
⇒ 7x - 4 = 4x + 17
⇒ 7x - 4 + 4 = 4x + 17 + 4
⇒ 7x = 4x + 21
⇒ 7x - 4x = 4x + 21 - 4x
⇒ 3x = 21
⇒ 3x ÷ 3 = 21 ÷ 3
⇒ x = 7
Substitute the found value of x into the expression for angle L to find m∠L:
⇒ m∠L = (4(7) + 17)°
⇒ m∠L = (28 + 17)°
⇒ m∠L = 45°
Interior angles of a triangle sum to 180°.
Therefore, to find the value of y, sum the angles of ΔLMN and equate to 180° to find the measure of angle N:
⇒ m∠L + m∠M + m∠N = 180°
⇒ 45° + 84° + (2x + y)° = 180°
⇒ 129° + (2x + y)° = 180°
⇒ 129° + (2x + y)° - 129° = 180° - 129°
⇒ (2x + y)° = 51°
⇒ 2x + y = 51
Substitute the found value of x and solve for y:
⇒ 2(7) + y = 51
⇒ 14 + y = 51
⇒ 14 + y - 14 = 51 - 14
⇒ y = 37
Conclusion
The value of x that will result in congruent triangles is \(\boxed{\sf 7}\) .
The value of y that will result in congruent triangle is \(\boxed{\sf 37}\) .
Which inequality represents the situation: The cost, c is more than $6
Answers
Answer: C > $6
Step-by-step explanation:
C is greater than (but not equal to) $6
C > $6
yo whats i lowkey cant think rn 3/4 times 2 ??
Answers
Answer:
1.5 in a decimal
Step-by-step explanation:
i hope it helps
You order a new pair of running shoes from a website that offers free shipping on orders of $75 or more. Your shoes cost $69.95. a. Write and solve an inequality that represents how much more you must spend to get free shipping. b. The cost of shipping your shoes is $7.79. Would you purchase another item in order to get free shipping? Explain.
Answers
Answer: I would write a inequality to show how much more i need to spend
Step-by-step explanation: the shipping cost of $7.79 might cost more than the cost of the stuff you have to buy to get free shipping
My answer might be wrong sorry!
The linear inequality is 69.95 + x > 75, the amount of money you must spend to get free shipping will be greater than $5.05. You should purchase another item in order to get free shipping
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
You order a new pair of running shoes from a website that offers free shipping on orders of $75 or more. Your shoes cost $69.95.
Let x be the amount of money required.
Then the linear inequality is given as,
69.95 + x > 75
Then the value of the variable x will be
x > 75 - 69.95
x > $5.05
The amount of money you must spend to get free shipping will be greater than $5.05.
The cost of shipping your shoes is $7.79. Then we have
Hence, the shipping cost is more than the amount of money you must money spends to get free shipping.
You should purchase another item in order to get free shipping.
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Nora wants to put new glass in her window
If her window measures 34 inches by 48 inch
What is the area of the glass that she will need
Answers
Answer:
1632 inches squared
Step-by-step explanation:
Hi!
So the formula for area is length times width.
So you would multiply the length by the width which is 34 times 48 to get the area which is 1632 in squared.
Hope this helps!
The height, H, of the triangle is 8cm greater than its corresponding base.
what is the area of the triangle?
Answers
The answer of the question to find the area of the triangle is the area of the triangle is 120 cm².
What is Area ?Area is a measure of the amount of space inside a two-dimensional shape, like a rectangle, circle, or triangle. It is expressed in square units, like square meters, square feet, or square centimeters. The area of a shape is determined by multiplying the length of its sides, or its base and height, depending on the shape.
The area of triangle is found by multiplying its base by its height and dividing result by 2. Area is an important concept in many fields, including geometry, architecture, engineering, and physics.
If the base of the triangle is 12 cm, then we can use the expression we found for the height in terms of the base to find the height:
H = b + 8 = 12 + 8 = 20
So height of triangle is 20 cm.
Now we use formula for area of triangle:
A = 1/2 * b * H
Substituting the values we have:
A = 1/2 * 12 * 20
Simplifying:
A = 120 cm²
Therefore, the area of the triangle is 120cm².
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Ethan starts the week with a balance of $275.00 in his checking account. During
the week, he uses his debit card to spend $27.50 on food, $12.00 at the movies,
and $6.75 for music downloads. He earns and deposits $45.00 for mowing lawns.
What is Ethan's balance at the end of the week?
Answers
Answer:
Ethan's balance at the end of the week is of $273.75.
Step-by-step explanation:
Ethan starts the week with a balance of $275.00 in his checking account.
This means that B = 275.
During the week, he uses his debit card to spend $27.50 on food, $12.00 at the movies, and $6.75 for music downloads.
This is subtracted from the balance. So
B = 275 - (27.50 + 12 + 6.75) = 228.75
He earns and deposits $45.00 for mowing lawns.
Adds 45, so
B = 228.75 + 45 = 273.75
Ethan's balance at the end of the week is of $273.75.
Find the equation of the line that satisfies the conditions given in each of the following: 1. Through (3, 2) and (5, 7) 2. Through (-3, 4), m = 2 3. m = -3, b = 5 4. x-intercept = 3, y-intercept
Answers
The equation of each line that satisfies the given conditions are:
1. y - 2 = 5/2(x - 3)
2. y - 4 = m(x + 3)
3. y = -3x + 5
What is the Equation of a Line?If we know the slope (m) and the y-intercept (b) of a line, we can write the equation of the line as y = mx + b in slope-intercept form.If we know the point (a, b) and the slope (m) of the line, we can write the equation of the line in point-slope form as y - b = m(x - a).1. Given the points, (3, 2) and (5, 7), find the slope (m):
Slope (m) = change in y / change in x = (7 - 2)/(5 - 3)
m = 5/2
Write the equation in point-slope form by substituting m = 5/2 and (a, b) = (3, 2) into y - b = m(x - a):
y - 2 = 5/2(x - 3)
2. Given:
A point = (-3, 4)
Slope (m) = 2
Substitute (a, b) (-3, 4), and m = 2 into y - b = m(x - a):
y - 4 = m(x + 3) [equation of the line]
3. Given:
Slope (m) = -3
Y-intercept (b) = 5
Substitute m = -3 and b = 5 into the equation y = mx + b:
y = -3x + 5
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write the english phrase as an algebraic expression. Let x represent the number
Answers
The english phrase "Seven less than four times a number" as an algebraic expression is 4x - 7
Writing the english phrase as an algebraic expressionFrom the question, we have the following parameters that can be used in our computation:
seven less than four times a number
Represent the number with x
So:
four times a number means 4x
So, we have
seven less than 4x
seven less than means - 7
So, we have
4x - 7
Hence, the english phrase as an algebraic expression is 4x - 7
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Complete question
write the english phrase as an algebraic expression. Let x represent the number
Seven less than four times a number
According to a Human Resources report, a worker in the industrial countries spends on average 419 minutes a day on the job. Suppose the standard deviation of time spent on the job is 31 minutes.
a. If the distribution of time spent on the job is approximately bell shaped, between what two times would 68% of the figures be?
enter an appropriate value to enter an appropriate value
b. If the distribution of time spent on the job is approximately bell shaped, between what two times would 95% of the figures be?
enter an appropriate value to enter an appropriate value
c. If the distribution of time spent on the job is approximately bell shaped, between what two times would 99.7% of the figures be?
enter an appropriate value to enter an appropriate value
d. If the shape of the distribution of times is unknown, approximately what percentage of the times would be between 359 and 479 minutes?
enter percentages rounded to 1 decimal place % (Round the intermediate values to 3 decimal places. Round your answer to 1 decimal place.)
e. Suppose a worker spent 400 minutes on the job. What would that worker’s z score be, and what would it tell the researcher?
z score = enter the z score rounded to 3 decimal places (Round your answer to 3 decimal places.)
This worker is in the lower half of workers but within select an option standard deviation of the mean.
Answers
Answer:
A) Between 388 and 450
B) Between 357 and 481
C) Between 326 and 512
D) 99.995%
E) 72.907%
Step-by-step explanation:
We are given;
Mean; x¯ = 419 minutes
Standard deviation; σ = 31 minutes
A) From the empirical rule, 68% falls within 1 standard deviation.
Thus, it will be between;
419 - 1(31) and 419 + 1(31)
Thus gives;
Between 388 and 450
B) From the empirical rule, 95% falls within 2 standard deviation.
Thus, it will be between;
419 - 2(31) and 419 + 2(31)
Thus gives;
Between 357 and 481
C) From the empirical rule, 99.7% falls within 2 standard deviations.
Thus, it will be between;
419 - 3(31) and 419 + 3(31)
Thus;
Between 326 and 512
D)between 359 and 479 minutes, we will use z-s roe formula;
z = (479 - 359)/31
z = 3.871
From the z-table attached, we see that the probability is 0.99995 and as such, the percentage is 99.995%
E) worker spent 400 minutes on the job.
Thus;
z = (419 - 400)/31
z = 0.613
From z-tables, p = 0.72907
In percentage, we have; 72.907%
The line plots represent data collected on the travel times to school from two groups of 15 students.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4,6,14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9,18, 20, and 22. There are two dots above 6, 10, 12,14, and 16. The graph is titled Bus 18 Travel Times.
Compare the data and use the correct measure of variability to determine which bus is the most consistent. Explain your answer.
Bus 18, with an IQR of 16
Bus 47, with an IQR of 24
Bus 18, with a range of 16
Bus 47, with a range of 24
Answers
The bus that is the most consistent, given the data collected on travel times to school from two groups of students is C Bus 18, with a range of 10
How to find the consistent bus ?To determine which bus is the most consistent, we should use the interquartile range (IQR) as the measure of variability. The IQR measures the spread of the middle 50% of the data, which makes it less sensitive to outliers compared to the range.
Bus 47:
Median (Q2): 16
Q1: 10
Q3: 22
IQR = Q3 - Q1 = 22 - 10 = 12
Bus 18:
Median (Q2): 12
Q1: 8
Q3: 18
IQR = Q3 - Q1 = 18 - 8 = 10
Bus 18 has a smaller IQR than Bus 47 (10 vs. 12), which means the travel times for Bus 18 are more consistent.
Note: Figures might be different due to options being for different variant but Bus 18 is the most consistent.
Find out more on IQR at https://brainly.com/question/16611580
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