Answer:
An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. ... Examination of the data for unusual observations that are far removed from the mass of data. These points are often referred to as outliers. Which explains whether or not 12 is an outlier? Twelve is not an outlier because it is less than the sum of 7 and 6.
Step-by-step explanation:
In the given dataset, twelve is not an outlier because it is less than the sum of 7 and 6.
The outlier of a dataset is the date that are distant from other values of the dataset.
Given that:
[tex]S = \{ 2, 2, 3, 3, 4, 5, 5, 6, 7, 9, 12\}[/tex] --- the dataset
[tex]N = 11[/tex] -- number of observations
[tex]IQR = 4[/tex]
The position of the lower quartile of the above set is:
[tex]Q_1 = \frac{1}{4} \times (N + 1)th[/tex]
[tex]Q_1 = \frac{1}{4} \times (11 + 1)th[/tex]
[tex]Q_1 = \frac{1}{4} \times (12)th[/tex]
[tex]Q_1 = 3rd[/tex]
The 3rd element is 3. So:
[tex]Q_1 = 3[/tex]
Similarly, the position of the upper quartile of the above set is:
[tex]Q_3 = \frac{3}{4} \times (N + 1)th[/tex]
[tex]Q_3 = \frac{3}{4} \times (11 + 1)th[/tex]
[tex]Q_3 = \frac{3}{4} \times (12)th[/tex]
[tex]Q_3 = 9th[/tex]
The 9th element is 7. So:
[tex]Q_3 = 7[/tex]
The lower outlier (L) is
[tex]L = Q_1 - (1.5 \times IQR)[/tex]
[tex]L = 3 - (1.5 \times 4)[/tex]
[tex]L = 3 - 6[/tex]
[tex]L = - 3[/tex]
The upper outlier (U) is:
[tex]U = Q_1 + (1.5 \times IQR)[/tex]
[tex]U = 7 + (1.5 \times 4)[/tex]
[tex]U = 7 + 6[/tex]
[tex]U= 13[/tex]
Values from the lower to the upper outliers are not outliers.
In other words
[tex]-3, -2, -1, 0, 1, 2,......,11,12,13[/tex] are not outliers
12 is not an outlier because it is less than 13
13 is gotten from 7 + 6; as in: [tex]U = 7 + 6[/tex]
Hence, (d) is correct
Read more about outliers at:
https://brainly.com/question/12153650
3.02 Quiz: Constructions of Segments Angles and Bisectors
What are the steps for using a compass and straightedge to construct the bisector of ZR?
R
Drag the steps and drop them in order from start to finish.
Use the straightedge to draw RU
Without changing the opening of the compass, place the point of the compass on point T and draw another are in the interior of
the angle.
Place the point of the compass on point S and draw an arc in the interior of the angle.
Place the point of the compass on point R and draw an arc that intersects the sides of ZR. Label the points of intersection as
Answer:
The steps to construct the bisector of ∠R using a compass and a straightedge in order from start to finish are;
1) Place the point of the compass on point R and draw an arc that intersects the sides of ∠R. Label the points of intersection as T and S
2) Place the point of the compass on point S and draw an arc in the interior of the angle
3) Without changing the opening of the compass, place the point of the compass on the point T and draw another arc in the interior of angle ∠R. Label the point of intersection of the two arcs as U
4) Use the straightedge to draw RU
Step-by-step explanation:
In order to construct the bisector to an angle
The compass is used to draw an arc that intersects the two rays forming the angle.
From the point of intersection of the arc constructed above and the two rays, two arcs are drawn with the same radius, on the inside of the angle to be bisected, intersecting each other
From the point of intersection of the two arcs drawn wit the same radius, drawn from the intersection of the first arc and the two rays forming the angle to be bisected, a line is drawn with a rule or straightedge to the vertex of the angle to be bisected.
Answer:
The steps to construct the bisector of ∠R using a compass and a straightedge in order from start to finish are;
1) Place the point of the compass on point R and draw an arc that intersects the sides of ∠R. Label the points of intersection as T and S
2) Place the point of the compass on point S and draw an arc in the interior of the angle
3) Without changing the opening of the compass, place the point of the compass on the point T and draw another arc in the interior of angle ∠R. Label the point of intersection of the two arcs as U
4) Use the straightedge to draw RU
Step-by-step explanation:
In order to construct the bisector to an angle
The compass is used to draw an arc that intersects the two rays forming the angle.
From the point of intersection of the arc constructed above and the two rays, two arcs are drawn with the same radius, on the inside of the angle to be bisected, intersecting each other
From the point of intersection of the two arcs drawn wit the same radius, drawn from the intersection of the first arc and the two rays forming the angle to be bisected, a line is drawn with a rule or straightedge to the vertex of the angle to be bisected.
Step-by-step explanation:
Which number is a solution of the inequality?
n(n – 3) < 54
3h times -3q
Plz help
Answer:
-9hq
Step-by-step explanation:
Answer:
-9hq
Step-by-step explanation:
i think this is the correct answer if not i'm sorry
I NEED HELP IMMEDIATELY!!! The following figures were created with squares, where
each side of the squares has a length of exactly one unit.
A, represents the area of the first figure, Az represents the
area of the second figure, and so on. Based on this
pattern, what would be the rule for the area of the nth
figure when n > 1?
Answer:
c
Step-by-step explanation:
The cost of 2.5 pounds of cheese is $5.60.
PLEASE DO THESE STEPS
A. What is the cost of one pound of cheese? Type your answer in the box.
B. Mrs. Peterson bought 4.75 pounds of cheese. How much money did Mrs. Peterson spend on cheese?
D. How could you find the cost for 5 pounds of cheese without finding the cost per pound? Type your answer in the box.
Answer:
Step-by-step explanation:
Step one:
given data
cost of 2.5 pounds is $5.6
A. What is the cost of one pound of cheese? Type your answer in the box.
if 2.5 pounds is $5.6
the 1 pound will cost x
cross multiply we have
x=5.6/2.5
x=$2.24
B. Mrs. Peterson bought 4.75 pounds of cheese. How much money did Mrs. Peterson spend on cheese?
we know that 1 pound cost $2.24
therefore 4.75pound, she will spend= 4.75*2.24=$10.64
C. How could you find the cost for 5 pounds of cheese without finding the cost per pound?
we can use the rate for 2.5 pounds at $5.6
i.e 2.5 pounds at $5.6
5 pounds will cost x
cross multiply we have
x=5*5.6/2.5
x=28/2.5
x=$11.2
Which two ordered pairs generated by x = y^2 - 1 can be used to show that the equation is not a function?
which one is it?
1. (3,2) and (15,4)
2. (8,3) and (8,-3)
3. (0,-1) and (-1,0)
4.(-3,-2) and (24,-5)
Please and thank you!
Answer:
3
Step-by-step explanation:
isbscw8sceia a qowbw s
Abe had 156.43$ in his bank account at the beginning of the month. He made the two withdrawals shown in his check register. How much money does he have left in his bank account? He must have at least 100$ in his account by the end of the month or he will be charged a fee. How much money does he need to deposit to avid being charged a fee?
Answer:
$92.05$7.95Step-by-step explanation:
1. Abe had $156.43 in his account and then withdrew $24.97 and $39.41. The amount left is;
= 156.43 - 24.97 - 39.41
= $92.05
2. He needs to have at least a $100 to avoid a fee so the minimum he needs to deposit is;
= 100 - 92.05
= $7.95
please help me this due today - two-step equations (20 pts)
1: m/8 + 15 = 20
2: 4 = m/3 -6
3: 44 = 4t + 8
4: 15+ 2x = 75
Answer:
1:
[tex] \frac{m}{8} + 15 = 20 \\ m + 120 = 160 \\ m = 160 - 120 \\ m = 40[/tex]
[tex]4 = \frac{m}{3} - 6 \\ 12 = m - 18 \\ - m = - 18 - 12 \\ - m = - 30 \\ m = 30[/tex]
44=4t+8
-4t=8-44
-4t=-36
t=9
And the last one is
15+2x=75
2x=75-15
2x=60
x=30
Hope this helps :)
2 and 1 over 2 divided by 2 and 1over 4
Answer:
what do u mean
Step-by-step explanation:
Answer:
It would be 1.1¯ (1.1 repeating).
A group of students were competing to raise money for a local animal shelter; their goal was to raise $400. Phillip raised 60% of the goal himself himself. How much money will the rest of the students raise.
Answer:
the rest of the students will have to raise $240
Step-by-step explanation:
times 400 by 60% or 0.60
400 x 0.60 = 240
15
Use the ALEKS calculator to write as a percentage.
52
Round your answer to the nearest tenth of a percent.
Х
5
?
Answer:
The Answer Is 28.8%
Step-by-step explanation:
I got it right on my Aleks assigments :)
The price of bronze has increased by 10% per year from 2000. In the year 2000, Harry bought a bronze medal for $120. Which of the following equations can be used to represent the price of the medal x years after 2000?
y = 120(0.9)x
y = 10(120)x
y = 120(1.1)x
y = 10(1.1)x
C is the answer ollolololo
3. how to answer it A store is having a sale to celebrate President’s Day. Every item in the store is advertised as one-fifth of the original price. If an item is marked with a sale price of $140, what was its original price?
Answer:700
Step-by-step explanation: (1/5) x= 140
X= 140/ (1/5)
X=700
1. The memory card on Melcher’s digital camera can hold about 430 pictures. Melcher used 18% of the memory card while taking pictures at a family reunion. About how many pictures did Melcher take at the family reunion? Round to the nearest whole number.????
2. What number is 3% of 100?
3. 55 is 40% of what number?
4. 14% of 81 is what number
5. $4 is what percent of $50?
brainless whoever gets this right + 100 points show your work and u also get a brainless by doing that too
A car bought for $2500 is sold for $2000. What
is the loss as a percentage of the cost price? Please help.
Answer:
20% lost
Step-by-step explanation:
the difference is 500 and 500 is 20 percent of 2500
Answer:
20 percent
Step-by-step explanation:
explain the difference between assertive and aggressive behavior
Answer:
Assertive behavior is all about standing up for yourself, but aggression usually involves threatening, attacking, or (to a lesser degree) ignoring others. Assertive individuals stand up for themselves—for their beliefs, their values, their needs. And they do so in a respectful, unthreatening, nonviolent way.
Step-by-step explanation:
Answer:
Assertive behavior is all about standing up for yourself, but aggression usually involves threatening, attacking, or (to a lesser degree) ignoring others.
Step-by-step explanation:
In which way do RElTs resemble mutual funds?
a. Money is invested in a fund that is controlled by a board, and dividends are paid out to the investors.
b.Both mutual funds and REITS provide the investor with a monthly income.
c. Both REITS and mutual funds are deferred until after retirement.
d. Mutual funds and REITS are involved with investing money in real estate.
Answer:
A, 100 on Edge :)
Step-by-step explanation:
awnser this plsss hahahhhahahahahaha
Answer:
c
Step-by-step explanation:
Suppose you work on a tree farm and you need to find the height of each tree. You know that the length of an object with its height. Find the constant of variation
Answer:
The answer is below
Step-by-step explanation:
Suppose you work on a tree farm and you need to find the height of each tree. You know that the length of an object varies directly with its height. a) Find the constant of variation b) find the height of the tree
Solution:
a) Let y represent the length of an object and x represent the height of the object. Given that y ∝ x. Let k be the constant of variation, therefore the relationship between y and x is:
y = kx
y = 2 ft 2 in = 13/6 ft (1 ft = 12 in)
x = 6 ft
Substituting gives:
13/6 = k(6)
k = 13/6 ÷ 6
k = 13/36
b) y = (13/36)x
Given that y = 8ft 4 in = 25/3 ft
Substituting:
y = (13/36)x
25/3 = (13/36)x
x = 25/3 ÷ (13/36)
x= 300/13 ft ≈ 23 ft
If you eat in a restaurant and your bill is 45$. what percent tip will you leave?( Assume the service was good) How much will that be? what is the total?
Answer:
$55
Step-by-step explanation:
I would give them a $10 dollar tip if their service was good.
Some people do 15%-20%. or double the tax on the bill. What I would do is 20%, that would be 45*20%=9 or for. so the total would be $54. for 15% you would calculate 15%*45=6.75, so the total would be $51.75.
Please help due tomorrow
50 pts! Help ASAP, will make brainliest
2. Graph the piecewise function f(x)= { 3x-5≤ if x≤-1 -2+3 if -1
Answer:
The answer is -2 and 2 on the x-axis and 0 as the center point.
Step-by-step explanation:
4/5 - 1/6 =
Please answer this for me :)
Answer:
i think it is 19/30if it is not then sorry
Answer:
29/30
Step-by-step explanation:
For more help go to calculator soup for math help :)
Suppose that you decide to participate in a charity walkathon to raise money for your cause. Some people decide to donate a fixed amount, while others agree to donate a little money for every mile you walk. Before the event starts, you raised $25, and you have been pledged $1.50 for each mile you walk. The function defined by d(m) = 1.5m + 25 can be used to relate the miles you walk, m, and the amount of money donated to you in dollars, d(m).
Evaluate d(3)
Explain what it means in the context of the problem.
While you were walking, you lost track of the number of miles you had walked. At the end of the event, an organizer tells you that you raised $40 through your walk. How many miles did you walk?
Answer:
d(3)=$29.5 is the amount of money raised when you walked 3 miles.
You walked 10 miles fo raise $40
Step-by-step explanation:
The function to model the amount of money raised in the charity walkathon is:
d(m) = 1.5m + 25
Where m is the miles walked.
Evaluate d(3):Substituting m=3:
d(3) = 1.5*3 + 25 = 4.5 + 25 = 29.5
This value is the amount of money raised when you walked 3 miles.
We know you raised $40 but you don't know the number of miles walkedSince we have the function to calculate d(m), and the money raised is known, we have to find the value of m such that this condition is met:
40 = 1.5m + 25
Subtracting 25:
40 - 25 = 1.5m
15 = 1.5m
Dividing by 1.5:
15 / 1.5 = m = 10
It means you walked 10 miles fo raise $40
The measure of angle B is 83 degrees, and the measure of angle C is 42 degrees.
Triangle B C D.
What is the measure of angle D in degrees?
41°
45°
55°
125°
Answer:
55 degrees
Step-by-step explanation:
The total degrees of a triangle is 180 so when you add angle B (83 degrees) and angle C (42 degrees) you get 125 degrees. 180-125=55
Answer:
✔ 55°
--------------------------------
The measure of angle B is 83 degrees, and the measure of angle C is 42 degrees.
Triangle B C D.
What is the measure of angle D in degrees?
41°
45°
✔ 55°
125°
Janet states the equation 10x−3+2x=12x−5+2 has only one solution because both sides are already the same. Is she correct? Explain your answer.
Answer: I think the answer has infinite solutions since they are equal.
Step-by-step explanation:
can someone help me with this? 8x + 18 solve for x
Answer:
Factor 2 out 8x + 18 2(4x+9)
Thats the best i can think of
PLS HELP ME! ASAP!!!
Answer:
3,316 you need to add both of the numbers they asking when they say all togethor in the question it means you have to add
Mathematics.... Use 22/7
Wrong or other answers will be reported
Answer:
A
Step-by-step explanation:
Volume of cylinder= πr²h, where r is the radius
Volume of concrete
= volume of large cylinder -volume of smaller hollow cylinder
Large cylinder:
Diameter= 7m
Since radius= ½(diameter),
Radius= 7 ÷2= 3.5m
Height= 3m
Volume of large cylinder
= π(3.5)²(3)
= 36.75π m³
Small hollow cylinder:
Diameter= 4m
Radius= 4 ÷2= 2m
Height= 3m
Volume of small hollow cylinder
= π(2)²(3)
= 12π m³
Substitute vol. of large and small hollow cylinder with 36.75π and 12π respectively, then substitute 22/7 for π:
Volume of concrete
= 36.75π -12π
= 24.75π
[tex] = 24.75( \frac{22}{7} ) \\ = 77.79 \: m^{3} [/tex]
( to 2 d.p.)
Which number is larger than 1.1213 × 10^10
A. 5,445,127,000
B. 1.1217 x 10
C. 560,123,800
D. 2.468 × 10
Answer:
1.1217 x 10^10
Step-by-step explanation:
Since the question is Which number is larger than 1.1213 × 10^10 1.1217 x 10^10
is a number larger then 1.1213 × 10^10 because it has the same exponent as the problem in the question but 1.1217 has .0004 more then the problem in the question.