Answer:
2950
Step-by-step explanation:
Graph the linear function w(x)=3/5x+2
Answer:
Answer: w= 3x+10 5x
Step-by-step explanation:
Let's solve for w. wx= 3 5 x+2 Step 1: Divide both sides by x. wx x = 3 5 x+2 x w= 3x+10 5x Answer: w= 3x+10 5x
Hope this helped :)
PLEASE HELP i’m being timed!!!
Solve the system by using a matrix equation.
6x-9y=3 3x-4y=7
Answer:
a
Step-by-step explanation:
Answer:
A. (17,11)
I just did the quiz on edgen.uity
Question 9 2 pts LeBron James, one of the most successful basketball players of all times, has a height of 6 ft 8 in or 203 cm. Based on statistics, his height converts to the z- score of 4.07. How many standard deviation is his height above the mean? a. 4.07
b. 203 cm c. 193.3 d. 6 ft 8 in
The height of 203 is 4.07 standard deviation above the mean as If the z- score is positive, then the value is above the mean.
It is given that LeBron James has a height of 6 ft 8 in or 203 cm.
and his height converts to the z- score of 4.07
The z- score measures the number of standard deviations that the value is from the mean.
If the z- score is positive, then the value is above the mean. If the z- score is negative, then the value is below the mean.
The z- score is 4.07 that means the height of 203 is 4.07 standard deviation above the mean.
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A pair of dice will be rolled once.It is known that the sum of the spots on two dice is less than 6. What is the probability that the two dice have the same number of spot(s)?
Step-by-step explanation:
The probability that the two dice have the same number of spot(s) is 1/6 or 16.7%. This is because there are six possible outcomes when rolling a pair of dice: both dice having 1 spot, both dice having 2 spots, both dice having 3 spots, both dice having 4 spots, both dice having 5 spots, and both dice having 6 spots. Since the sum is less than 6, this eliminates the possibility of both dice having 6 spots. That leaves 5 possible outcomes, and each outcome has an equal probability of occurring. Therefore, the probability of both dice having the same number of spots is 1/6 or 16.7%.
Find the area of this composite shape
11 cm
"11 cm
18 cm
6.5 cm
Answer:
166.5 cm squared
Step-by-step explanation:
Multiply 11x11 =121
Multiply 7x6.5 =45.5 (we get the 7 because 18-11=7)
Then we add 121 and 45.5 and get 166.5
The area of this composite shape is 166.5 square cm
Area of composite figuresComposite figures are figures that has more than 1 shape. The given figure is made up of two rectangles.
The area of the shape is given as shown below;
Area = (11*11) + (7 * 6.5)
Area = 121 + 45.5
Area = 166.5 square cm
Hence the area of this composite shape is 166.5 square cm
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Find Sn for the following geometric sequences described.
From the question, the sum of each of the geometric sequence are;
1) 31 3/4
2) 340
3) 11/16
4) -6, 12, -24
What is geometric sequence?
We have that;
Sn = a(1 -\(r^n\))/1 - r
Sn = 16(1 \(- (1/2)^7\))1 - 1/2
Sn = 16(1 - 1/128)/1/2
Sn = 16(127/128) * 2
Sn = 31 3/4
2) Un = a\(r^n\) -1
256 = \(4(4)^n-1\)
64 =\(4^n-1\)
\(4^3 = 4^n-1\)
n = 4
Sn= \(4(4^4 - 1)\)/4 - 1
Sn = 340
3) Since we have a5 then n = 5
Sn = 1(1 - (\(-1/2)^5\))/1 -(-1/2)
Sn = 33/32 * 2/3
= 11/16
4) 30= a(1 -\((-2)^4\))/1 - (-2)
30 = a(-15)/3
30 = -5a
a = 30/-5
a = -6
Then the first three terms are;
-6, 12, -24
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What is the greatest common
factor of the following three
numbers?
12, 18,32
Answer:
2
Step-by-step explanation:
12:1,2,3,4,6,12
18:1,2,3,6,9,18
32:1,2,4,8,16,32
h.c.f = 2
Nina took a trip to Tampa. If she drove 400 miles and took 5 hours to complete the drive. What was her average speed in miles per hour?
Answer:
Nina has drove 80 mph.
Step-by-step explanation:
400 miles 5 hours
400 dived by 5= 80
The price of grapes, g, is $2. 19 per pound. The price of bananas, b, is $0. 59 per pound. The price of pears, p, is $1. 49 per pound. Part A
Write an expression to represent the total price of g pounds of grapes, b pounds of bananas, and p pounds of pears. Drag numbers to complete the expression. 1. 49 added to
2. 19
g +
0. 59
b +
1. 49
p
The expression that represents the total price of buying g pounds of grapes, b pounds of bananas, and p pounds of pears is Total cost = $2.19g + $0.59b + $1.49p
In this case, we need to use the given prices per pound of each fruit to calculate the total cost of purchasing a certain amount of each fruit. We can do this by multiplying the price per pound by the number of pounds of each fruit we want to buy, and then adding up these values.
So, to create the expression, we can start by using the given prices to calculate the cost of each fruit:
Grapes: $2.19/pound
Bananas: $0.59/pound
Pears: $1.49/pound
Next, we can use the variables g, b, and p to represent the number of pounds of each fruit we want to buy. We then multiply each price by its respective variable to get the cost of each type of fruit:
Cost of grapes: $2.19/g x g = $2.19g
Cost of bananas: $0.59/b x b = $0.59b
Cost of pears: $1.49/p x p = $1.49p
Finally, we can add up the costs of all three types of fruit to get the total cost:
Total cost = $2.19g + $0.59b + $1.49p
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Determine whether the polygons are always, sometimes, or never similar. Explain your reasoning.
a trapezoid and a parallelogram
A trapezoid and parallelogram can be sometimes similar, as they can have the same shape but different sizes.
1. Similar polygons have the same shape but can be different sizes.
2. A trapezoid and a parallelogram can have the same shape, but their angles and side lengths may differ.
3. Therefore, they can be sometimes similar, depending on their specific measurements.
A trapezoid and parallelogram can be sometimes similar, as they can have the same shape but different sizes. Polygons have the same shape but can be different sizes.
A trapezoid and a parallelogram can have the same shape, but their angles and side lengths may differ.Therefore, they can be sometimes similar, depending on their specific measurements.
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Corey is ready to begin the process of producing his final animation. Unfortunately,
his computer does not have the power to render the final scene, so he outsources
the render to a computer that will execute the function. What method allows him to
do this?
(1 point)
O image sequences
Obatch render
O net rendering
O multi-passing
Net rendering is a method of rendering a computer-generated animation or image on multiple computers over a network.
Net rendering is a method of rendering a computer-generated animation or image on multiple computers over a network. This technique allows a user to take advantage of the computing power of multiple computers to render a scene. To do this, the user would divide the scene into several parts, assigning each part to a different computer. The computers would then render each part of the scene independently, and then the results are combined into a single image. This process can significantly reduce the time required to render a scene, as the workload is distributed over multiple computers. For example, if it would normally take a single computer 10 minutes to render a scene, net rendering could reduce that time to 2 minutes.
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What are 3 completed examples for systems of equations?
Answer:
There are three ways to solve systems of linear equations: substitution, elimination, and graphing.
Andre has a summer job selling magazine subscriptions. He earns $25 per week plus $3 for every subscription he sells. Andre hopes to make at least enough money this week to buy a new pair of soccer cleats.
Write an inequality to describe the number of subscriptions Andre must sell to reach his goal.
The inequality to describe the number of subscriptions Andre must sell to reach his goal is 3s + 25 ≥ C.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Assuming the cost of soccer cleats to be 'C' and the number of subscriptions to be 's'.
∴ The inequality that represents this situation is 3s + 25 ≥ C to real his goal.
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error Angie
Find the value of x.
1)
145°
Answer:
35 degrees
Step-by-step explanation:
Write an equation to represent the following statement. j is 25 more than 3 Solve for j
Answer:
j = 25+3
im pretty sure :)
Step-by-step explanation:
Answer:
j=25+3 which means j=28
Which of the following is an assumption for computing any type of independent sample t test?
a. Data in the population being sampled are normally distributed.
b. Data were obtained from a sample that was selected using a random sampling procedure.
c. The probabilities of each measured outcome in a study are independent.
d. all of the above
2. A researcher selects a sample of 16 women and asks them to rate how important a sense of humor is in someone they want a long-term relationship with. She records scores averaging 1.6±0.8 (M±SD) on a rating scale from -3 (not important at all) to +3 (very important). Assuming that an average score of 0 is the null hypothesis, test whether or not women find this trait important at a .05 level of significance.
a. Women found this trait to be important, and this result was significant, t(16) = 8.00, p < .05.
b. Women found this trait to be important, and this result was significant, t(15) = 8.00, p < .05.
c. Women did not find this trait to be important, p > .05.
d. There is not enough information to answer this question.
3. A researcher conducts two t tests. Test 1 is a one-tailed test with a smaller sample size at a .05 level of significance. Test 2 is a one-tailed test with a larger sample size at a .05 level of significance. What do you know about the critical values for each test?
a. Test 1 is associated with smaller critical values.
b. Test 2 is associated with smaller critical values.
c. Each test is associated with the same critical values.
d. It depends; there is not enough information to answer this question.
There are different ways to approach this question, but one possible method is to conduct a one-sample t-test using the formula t = (M - μ) / (s / sqrt(n)), where M is the sample mean, μ is the population mean (null hypothesis), s is the sample standard deviation, and n is the sample size. With the given information, the t-value is (1.6 - 0) / (0.8 / sqrt(16)) = 8.
The degrees of freedom is n - 1 = 15. Using a t-table or a calculator, the p-value for a one-tailed test with 15 degrees of freedom and a t-value of 8 is much smaller than .05 (e.g., < .0005). Therefore, we can reject the null hypothesis and conclude that women find a sense of humor to be important in a long-term relationship at a .05 level of significance. The correct answer is b.
Test 2 is associated with smaller critical values. The critical values for a t-test depend on the level of significance, the degrees of freedom, and whether the test is one-tailed or two-tailed. In general, a smaller level of significance or a larger sample size leads to smaller critical values (i.e., it becomes easier to reject the null hypothesis). Since Test 2 has a larger sample size than Test 1, it is more likely to detect a significant effect (i.e., have a smaller Type II error rate), and therefore requires smaller critical values to achieve a .05 level of significance. The correct answer is b.
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according to a survey of adults, 64% have money in a regular savings account. if we plan on surveying 50 randomly selected adults, find the mean number of adults who would have regular savings accounts.
By using Binomial probability distribution, the mean number of adults who would have bank savings accounts is 32.
For every survey, there are only two possible outcomes.
First- they have bank savings accounts,
second- they do not.
So, by using the binomial probability distribution we can solve this problem.
Probability of exactly Y successes in ‘n’ repeated trials, with ‘p’ probability.
Probability = p
Successes repeated = n times
The value of the binomial distribution is:
E(Y) = n x p
In this problem, we have that:
p = 0.64
If we were to survey among 50 randomly selected adults, the mean number of adults who would have bank savings accounts is,
E(Y) when, n = 50
So,
E(Y)= n x p
= 50 x 0.64
= 32
Hence ,our required answer is 32 adults who would have bank savings accounts
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least to greatest 4/5,-1.4, 0.75, -21/3,21%
Answer:
-21/3 < -1/4 < 21% < 0.75 < 4/5
Step-by-step explanation:
if there are 5 arithmetic means betweeen 5 and b.the last term is 25 then find the value of b
Answer:
b = 21
Step-by-step explanation:
If there are 5 arithmetic means between 5 and b and the last term is 25, then we can find the value of b by using the formula for the nth term of an arithmetic sequence:
a_n = a_1 + (n - 1)d
where a_n is the nth term, a_1 is the first term, n is the number of terms, and d is the common difference.
We know that there are 5 arithmetic means between 5 and b. Therefore, there are 7 terms in total (including 5 and b). We also know that the last term is 25. So we have:
a_7 = 25 a_1 = 5 n = 7
We can use these values to solve for d:
a_n = a_1 + (n - 1)d 25 = 5 + (7 - 1)d d = 4
Now that we know d, we can find b by using the formula for the fifth term:
a_5 = a_1 + (5 - 1)d a_5 = 5 + (4)(4) a_5 = 21
Therefore, b = 21.
ABOVE & BEYOND John's school is selling tickets to a spring musical. On the first day of ticket sales, the school sold 8 adult tickets and 5 child tickets for a total of $104. The school took in $80 on the second day by selling 4 adult tickets and 6 child tickets. On the third day, they sold 10 adult tickets and 4 child tickets. On the last day, they sold 22 adult tickets and 8 child tickets. How much more money did they make on the last day compared to the third day? UNIT
"The school sold 8 adult tickets and 5 child tickets for a total of $104", we can express it as follows
\(8x+5y=104\)"On the second day they sold 4 adult tickets and 6 child tickets for a total of $80", we can express it as follows
\(4x+6y=80\)These two equations form a linear system of equations, which we can solve by multiply the second equation by -2
\(\begin{cases}8x+5y=104 \\ -8x-12y=-160\end{cases}\)Then, we combine the equations
\(\begin{gathered} 8x-8x+5y-12y=104-160 \\ -7y=-56 \\ y=\frac{-56}{-7} \\ y=8 \end{gathered}\)Now, we find x
\(\begin{gathered} 8x+5y=104 \\ 8x+5\cdot8=104 \\ 8x=104-40 \\ x=\frac{64}{8} \\ x=8 \end{gathered}\)According to this solution, each adult ticket costs $8 and each child ticket costs $8.
If they sold 10 adult tickets and 4 child tickets on the third day, then they made
\(10\cdot8+4\cdot8=80+32=112\)If they sold 22 adult tickets and 8 child tickets on the last day, then they made
\(22\cdot8+8\cdot8=176+64=240\)Hence, they made $128 more on the last day than the third day because that's the difference.lou gehrig's disease is autosomal recessive disease. if a woman and her husband are both carriers, what is the probability that their first child will be a phenotypically normal girl?
The probability that their first child will be a phenotypically normal girl is 3/8 or 37.5%.
Lou Gehrig's disease, also known as amyotrophic lateral sclerosis (ALS), is typically considered as an autosomal recessive disease. This means that both copies of the gene responsible for the disease need to be inherited, one from each parent, in order for an individual to be affected by the disease.
Given that the woman and her husband are both carriers of the disease, they each have one copy of the mutated gene and one normal gene. The probability of passing on the mutated gene to their child is 1/2 for each parent since they are carriers.
To determine the probability of their first child being a phenotypically normal girl, we need to consider the inheritance pattern. Let's break it down:
Gender: The probability of having a girl is 1/2, as gender is determined by the combination of the father's sperm (containing either an X or a Y chromosome) and the mother's egg (containing an X chromosome).
Phenotypically normal: For the child to be phenotypically normal, they should inherit at least one normal gene from either parent. The probability of inheriting a normal gene from the mother is 1/2, and the same probability applies for inheriting a normal gene from the father.
Independence: The probability of having a girl and inheriting a normal gene are independent events, so we can multiply their individual probabilities to calculate the combined probability.
Therefore, the probability of having a phenotypically normal girl is:
Probability of being a girl × Probability of inheriting a normal gene
= (1/2) × (1/2)
= 1/4
However, we also need to consider the possibility of having a boy. The probability of having a phenotypically normal boy is also 1/4.
Adding the probabilities of having a phenotypically normal girl and a phenotypically normal boy, we get:
1/4 + 1/4 = 2/4 = 1/2
Since the question specifically asks for the probability of having a phenotypically normal girl, we divide the probability of a phenotypically normal girl by the total probability of having a child:
(1/4) / (1/2) = 1/4 * 2/1 = 1/2 = 2/4 = 1/2
Therefore, the probability that their first child will be a phenotypically normal girl is 1/2 or 50%.
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PLEASE HELP ASAP
Belinda is thinking about buying a house for $179,000. The table below shows the projected value of two different houses for three years:
Number of years 1 2 3
House 1 (value in dollars) 186,160 193,606.40 201,350.66
House 2 (value in dollars) 190,000 201,000 212,000
Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points)
Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points)
Part C: Belinda wants to purchase a house that would have the greatest value in 30 years. Will there be any significant difference in the value of either house after 30 years? Explain your answer, and show the value of each house after 30 years. (4 points)
In this question, two houses have an initial value of $179,000, and the projected values are given in the tables for houses 1 and 2.
Part a:
If the absolute value of the change is always the same, it is linear.
If the rate is the same, it is exponential.
House 1:
We have that:
193,606.4 - 186,160 = 7446.4
201,350.66 - 193,606.40 = 7744.26
Let's try exponential:
\(\frac{193,606.4}{186,160} = 1.04\)
\(\frac{201,350.66}{193,606.40} = 1.04\)
For house 1, the rate of change is the same, and thus, it is exponential.
House 2:
212,000 - 201,000 = 201,000 - 190,000 = 11,000.
Absolute value of change is the same, so linear.
Thus, for house 1, an exponential function is used, as the rate of change is the same, and for house 2, as the absolute value of change is always the same, it is linear.
Part B
House a:
Exponential function, with initial value of $179,000, and exponential growth rate of 1.04 - 1 = 0.04. Thus:
\(f_a(x) = 179000(1+0.04)^x\)
\(f_a(x) = 179000(1.04)^x\)
House b:
Linear function, with initial value of $179,000, increasing by $11,000 each year. So
\(f_b(x) = 179000 + 11000x\)
Part c:
House a after 30 years:
\(f_a(30) = 179000(1.04)^30 = 580,568\)
House b after 30 years:
\(f_b(30) = 179000 + 110000(30) = 509,000\)
In 30 years, house a will have a value of $580,568, while house b will have a value of $580,568. House a will have a higher value, due to exponential growth.
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Pls give simple working out
Answer:
x = 33
Step-by-step explanation:
∡ CBE = ∡DBA = 57°
The sum of the interior angles of a triangle results 180°
∡BDA = it´s a right angle = 90°
Then:
57° + 90° + x = 180°
147° + x = 180°
x = 180° - 147°
x = 33°
The vertices of a rectangle are plotted in the image shown.
A graph with the x-axis and y-axis labeled and starting at negative 8, with tick marks every one unit up to positive 8. There are four points plotted at negative 1, 3, then 3, 3, then negative 1, negative 3, and at 3, negative 3.
FAST PLEASE WILL GIVE BRAINLEEST !!What is the perimeter of the rectangle created?
20 units
24 units
10 units
16 units
The perimeter of the rectangle created in this problem is given as follows:
20 units.
What is the perimeter of a polygon?The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.
The points for the rectangle in this problem are given as follows:
(-1, 3), (3,3), (-1, -3) and (3,-3).
Hence the side lengths of the rectangle are given as follows:
Two sides of 3 - (-1) = 4 units.Two sides of 3 - (-3) = 6 units.Hence the perimeter of the rectangle is given as follows:
P = 2(4 + 6)
P = 20 units.
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The auditorium has 64 red chairs and 31 blue chairs. What is the ratio of red chairs to the number of blue chairs?
I need help
A ratio is the number of one item compared to the number of another item. It can be written as a fraction or with a colon between the numbers.
The question wants the ratio of red to blue, so the number for red would be first.
They have 64 red and 31 blue
The ratio would be 64/31
64 and 31 do not have any common multipliers so cannot be simplified.
The answer would be 64/31
Answer:
64/31
Step-by-step explanation:
I just know
limx→−4f(x), where f(x)={5−x,6sin(πx/24), for x⩽−4 for x>−4 limx→2f(x), where f(x)=⎩⎨⎧x3−3,10,2x2+3, for x<2 for x=2 for x>2 11. Find the value of a so that the following function is everywhere continuous: f(x)={x−3x2−10x+21,a, for x=3 for x=3 12. Find the value of b so that the following function is everywhere continuous: f(x)={bx2+3bx−4,(2−b)(5−x), for x<−2 for x⩾−2
The value of the variable a and b will be 2.5 and 3.5, respectively.
The piecewise function is given below.
f(x)=x²-4/x-2, x<2
ax²-bx+1, 2≤x<3
4x-a+b, x≥3}
At x = 2, the function is continuous, then we have
2 + 2 = a(2²) - 2b + 1
4a - 2b = 3 ...1
At x = 3, the function is continuous, then we have
a(3²) - 3b + 1 = 4(3) - a + b
10a - 4b = 11 ...2
From equations 1 and 2, we have
8a - 10a = 6 - 11
2a = 5
a = 2.5
Then the value of b will be
10(2.5) - 4b = 11
25 - 4b = 11
4b = 14
b = 3.5
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Find the values of a and b that make f continuous everywhere.
f(x) =
x2 − 4
x − 2 if x < 2
ax2 − bx + 1 if 2 ≤ x < 3
4x − a + b if x ≥ 3
find a basis of the subspace of that consists of all vectors perpendicular to both[1] [0][0] [1][-8] [-5][_]and[_][3] [-2][_] [_]
To find a basis of the subspace that consists of all vectors perpendicular to both [1] [0] [0] [1] [-8] [-5] and [_] [3] [-2] [_], we first need to find the cross product of the two given vectors.
[1] [0] [0]
[1] [-8] [-5]
[_] [3] [-2]
The cross product of these three vectors is:
[0] [0] [-3]
This vector represents the normal vector to the plane that contains the two given vectors. Any vector that is perpendicular to both of the given vectors will lie in this plane and be orthogonal to this normal vector.
Thus, we can set up the following equation:
[0] [0] [-3] • [x] [y] [z] = 0
Simplifying this equation gives: -3z = 0
This tells us that z can be any value, while x and y must be zero in order for the vector to be perpendicular to both of the given vectors. Therefore, a basis for the subspace of all vectors perpendicular to both [1] [0] [0] [1] [-8] [-5] and [_] [3] [-2] [_] is:[0] [0] [1]
or any scalar multiple of this vector.
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Which equation can you use to solve for theta in the figure shown? A right triangle is shown. 2 sides have lengths of 45 feet and 31.2 feet and the hypotenuse has a length of 54.8 feet. The angle opposite to the side with length 45 feet is theta.
Answer:
45/58.4
Step-by-step explanation:
Answer: part 1: 45/54.8.
Part 2: 55.2
Step-by-step explanation:
Edge
One side of a square is 445mm long. Find the area in cm²
Answer:
1,980.25cm^2
Step-by-step explanation:
445mm=44.5cm
44.5^2=1,980.25
Use the IQR to determine how many outliers there are in the data set with this
Five Number Summary: 1, 2, 8, 20, 21.
a. 2
b. 3
c. 0
d. 1
===================================================
Explanation:
The five number summary is
MinQ1MedianQ3Maxin that exact order.
A five number summary of 1,2,8,20,21 means:
Min = 1Q1 = 2Median = 8Q3 = 20Max = 21The IQR (interquartile range) is the distance from Q1 to Q3
IQR = Q3-Q1
IQR = 20-2
IQR = 18
The lower fence (L) is then calculated like so
L = Q1 - 1.5*IQR
L = 2 - 1.5*18
L = -25
If any values are smaller than this lower fence of -25, then they are considered small outliers. But we know that min = 1 is the smallest value. This means we do not have small outliers.
Now onto the upper fence (U)
U = Q3 + 1.5*IQR
U = 20 + 1.5*18
U = 47
If any values are larger than 47, then they are considered large outliers. But we know that max = 21 is the largest value. This means we do not have large outliers.
In summary, all of the data values are between min = 1 and max = 21, which guarantees they are definitely in the interval between L = -25 and U = 47.
This is why there are no outliers in this data set.