Answer:
The last one {14,15,16,20,22,25, and 51}
Step-by-step explanation:
This set shows an outlier because 51 is a huge jump from 25 which causes it to be the outlier.
The data set {14,15,16,20,22,25,51} contains an outlier. So, option D is correct.
What is an outlier:An outlier is an extreme value in a data set that is either much larger or much smaller than all the other values.A data point is an outlier if it is over 1.5 times the IQR below the first quartile [tex](Q_1)[/tex] or 1.5 times the IQR above the third quartile [tex](Q_3)[/tex].How to calculate an outlier:To calculate an outlier for a given data, arrange the data in the ascending orderSeparate the data into two sections or groupsFind the medians for each group. The median for the first group is said to be the first quartile [tex](Q_1)[/tex] and the median for the second group is said to be the third quartile [tex](Q_3)[/tex]Find the difference between them by [tex](Q_3)[/tex] minus [tex](Q_1)[/tex] which is called the interquartile range (IQR).Then, if the data points are over 1.5 times the IQR below the first quartile [tex](Q_1)[/tex] or 1.5 times the IQR above the third quartile [tex](Q_3)[/tex] is said to have an outlier.Calculating the outlier for the given data sets:Option A:
{30, 31, 31, 32, 34, 37}
There is an even number of data points.
Diving into 2 groups- {30,31,31} and {32,34,37}
So, [tex]Q_1[/tex]=31 and [tex]Q_3[/tex]=34
Then [tex]Q_3[/tex] - [tex]Q_1[/tex]=34-31=3
Then 1.5×3=4.5
[tex]Q_1[/tex]-4.5=31-4.5=26.5
[tex]Q_3[/tex]+4.5=34+4.5=38.5
So, for this data set, there are no outliers either below or above.
Option B:
{11,12,12,12,13,13,14,14}
There is an even number of data points.
Diving into 2 groups- {11,12,12,12} and {13,13,14,14}
So, [tex]Q_1[/tex]=[tex]\frac{12+12}{2}=12[/tex] and [tex]Q_3[/tex]=[tex]\frac{13+14}{2}=13.5[/tex]
Then [tex]Q_3[/tex] - [tex]Q_1[/tex]=13.5-12=1.5
Then 1.5×1.5=2.25
[tex]Q_1[/tex]-2.25=12-2.25=9.75
[tex]Q_3[/tex]+2.25=13.5+2.25=15.75
So, for this data set, there are no outliers either below or above.
Option C:
{6.1,6.8,7.3,8,9.1,9.5}
There is an even number of data points.
Diving into 2 groups- {6.1,6.8,7.3} and {8,9.1,9.5}
So, [tex]Q_1[/tex]=6.8 and [tex]Q_3[/tex]=9.1
Then [tex]Q_3[/tex] - [tex]Q_1[/tex]=9.1-6.8=2.3
Then 1.5×2.3=3.45
[tex]Q_1[/tex]-3.45=6.8-3.45=3.35
[tex]Q_3[/tex]+3.45=9.1+3.45=12.55
So, for this data set, there are no outliers either below or above.
Option D:
{14,15,16,20,22,25,51}
There is an odd number of data points.
Diving into 2 groups- {14,15,16,20} and {20,22,25,51}
So, [tex]Q_1[/tex]=[tex]\frac{15+16}{2}=15.5[/tex] and [tex]Q_3[/tex]=[tex]\frac{22+25}{2}=23.5[/tex]
Then [tex]Q_3[/tex] - [tex]Q_1[/tex]=23.5-15.5=8
Then 1.5×8=12
[tex]Q_1[/tex]-8=15.5-8=3.5
[tex]Q_3[/tex]+8=23.5+8=35.5
In this data set, some values are above the value of 35.5 (35.5<51).
So, this data set is said to have outliers.
Therefore, Option D is correct.
The required data set is {14,15,16,20,22,25,51}.
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Loojk ate the rectangle a) A square has the same area as the rectangle above what is the side length of this square
Answer: The length of one side of the square is 10 sq cm.
Step-by-step explanation: Area of the rectangle = 4 x 25 = 100 sq cm.
Area of a square = s x s, where s is the length of the side of the square.
So, s x s = 100
Or, s^2 = 100
And, s = sqrt(100) = 10
4x+3(x-1)=67 solve for x
Answer:
x = 10
Step-by-step explanation:
Answer:
[tex]\bf x=10[/tex]
Step-by-step explanation:
[tex]\tt 4x+3(x-1)=67[/tex]
Use the distributive property to multiply 3 by x-1:-
[tex]\tt 4x+3x-3=67[/tex]
Combine 4x and 3x = 7x:-
[tex]\tt 7x-3=67[/tex]
Add 3 to both sides:-
[tex]\tt 7x=70[/tex]
Divide both sides by 7:-
[tex]\tt \cfrac{7x}{7} =\cfrac{70}{7}[/tex]
[tex]\tt x=10[/tex]
Jim drank 245 cups of orange juice and Jack drank 1110 cups less than Jim.
How much juice did jack drink? Explain your answer.
(i need a good explanation or i will get it wrong:(
Answer:
Step-by-step explanation:
Jim drank 2 and 4/5 orange juice
2and 4/5=14/5 orange juice
jack drank 1and 1/10 less than Jim= 11/10 less than Jim
I introduce the whole numbers into the fractions
we will convert the number 14/5 into a fraction that has the denominator 10, by multiplying by 2 both numerator and denominator
(14/5 )*2=28/10
Now we can find out how much juine Jack drank
28/10- 11/10= 17/10
so Jack drank 17/10 orange juice , the fraction can be written also as
1 and 7/10
K'Drien has a recipe that needs 3/4 tablespoon of butter for every 2
cups of milk. If K'Drien increases the recipe such that he uses 6
cups of milk, how many
tablespoons of butter will he need?
Answer:
6/4. Simplified, is 1 2/4
Step-by-step explanation:
Please help me thank you!
Answer:
46.7%
Step-by-step explanation:
The fraction of youths preferring printedbooks
= 21/(21+24)
= 21/45
= 21 *100 / 45
= 46.67%
How many rolls of wallpaper, each 10 yards long and 24 inches wide, will paper the sides of a room 12.1 feet by 17.1 feet and 8 feet high, deducting 129 ft2 for doors and windows?
Answer:
That corresponds to a width of 3.5 feet, so a yard of paper covers an area of 3 x 3.5 = 10.5 square feet
Consider a standard deck of 52 cards (13 cards each in 4 suits, clubs, spades, diamonds and hearts). What is the probability of picking out a jack of spades and then, without replacing the card to the deck, pick out a jack of diamonds?
Answer:
1/2652
Step-by-step explanation:
52 cards one jack spades 1/52
now 51 cards left one jack diamonds 1/51
1/52 * 1/51 = 1 / 2652
PLEASE HELP ME WITH THIS!!!!
Answer:
D: (x,y) → (x +1, y - 8)
Step-by-step explanation:
The red shape, KHIJ, is similar to the blue shape, KHIJ.
Looking at the shapes from the points K, Blue K is forward on the x-axis by 1, Hence x + 1.
Lokkin at the same points, but on y-axis this time. Red K is up 2 and Blue K is down 6. 2 + 6 = 8. Since the blue shape is down, make the 8 into -8. Now you have y -8.
1 in = 12 ft
1 in = 4 ft
Above are two different diagrams of the same backyard. If the length of the diagram on the left is 6 in, what is the length of the
diagram on the right?
OA. 19 in
ОВ.
18 in
OC. 2.00 in
OD. 9 in
Answer:
c 2.00 in vec ay se the back yard
NEED HELP PLEASE SINE/COSIGN LAW QUESTION RIGHT THE ANSWER OUT ON A PIECE OF PAPER AND SEND IT IF YOU HAVE TO MAKE SURE ITS CLEAR AND CORRECT. 45 points + brainliest
Answer:
sine=opposite/hypotenuse
cosine=adjacent/hypotenuse
tangent=opposite/adjacent
a: 42
b: 135 km/h
Step-by-step explanation:
For part A, you are given the adjacent and opposite side lengths so you need to use the tangent formula. On the calculator, it is tan^-1 (90/100)
For part B, I used the pythagorean theorem and did 100^2+90^2= 18100 and then took the square root of that to get 135.
Simplify.
2v^6•7u^7u^-5xv^-3•5x¯²
Use only positive exponents in your answer.
Answer:
(70*v^3*u^2)/x
Step-by-step explanation:
(2v^6 * 7u^7 * u^-5 * x * v^-3 * 5 * x^-2)
(2 * 5 * 7) * (v^6 * v^-3) * (u^7 * u^-5) * (x * x^-2)
70 * v^(6 - 3) * u^(7 - 5) * x^(1 - 2)
70 * v^3 * u^2 / x
What was done to the linear parent function, f(x) =X, to get the function g(x) =X1/5x
f(x) = x becomes g(x) = (1/5)x through vertical compression by a factor of 5.
Could someone help me to find the answer for this question, pls help
Helium is a gas lighter than air that is used in balloons. The density of
helium is approximately 0.14 kilograms per cubic meter. You get 5 helium balloons for your 5th birthday, each with a volume of 14 cubic meters. How many kilograms of helium do the balloons contain, to the nearest hundredth?
Using proportions, given the density value, it is found that the ballons contain 9.8 kilograms of helium.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, we have that each ballon contain 0.14 kilograms per cubic meter.
You get 5 ballons, each with 14 cubic meters, hence the total volume is given by:
V = 5 x 14 = 70 m³.
Applying the density, we have that the total mass is given by:
M = 0.14 x 70 = 9.8 kilograms.
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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
16
Step-by-step explanation:
Andrea spelled 18 out of 24 words correctly on a test. What percent of the words did
Andrea spell correctly?
Answer:
75%
Step-by-step explanation:
Which equation can be simplified to find the inverse of y = 2x2?
StartFraction 1 Over y EndFraction = 2 x squared
y = one-half x squared
–y = 2x2
x = 2y2
The correct answer would be: x = 2y^2
Answer:
its D
Step-by-step explanation:
The probability that Lexie is on time for a given class is 95%. If there are 32 classes during the semester, what is the best estimate of the number of times out of 32 that Lexie is on time to class? Round your answer to the nearest integer.
Answer:
between 31 and 29 classes
Step-by-step explanation:
The best estimate of the number of times out of 32 that Lexie is on time to class is 30.4.
What is probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given:
The probability that Lexie is on time for given class is 95% and there are 32 classes during the semester.
So,
=32 * 0.95
= 30.4
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im sorry i just suck i need help again pllsssssssssssss
Find and interpret the mean absolute deviation of the data. 8,12,4,3,14,1,9,13
pleaseeee answer I really need help and I will fail math if I don't have an answer!
Answer:
Mean Absolute Deviation: 4
Step-by-step explanation:
A mean absolute deviation is measured how much the values in the data set are likely to differ from the mean.
According to these three facts, which statements are true?
Circle W has center (−3, 0) and radius 8.
Circle V is a translation of circle W, 2 units down.
Circle V is a dilation of circle W with a scale factor of 2.
Select each correct answer.
The radius of circle V is 16.
The center of circle V is (−5, 0).
Circle V and circle W have the same center.
Circle V and circle W are similar.
a.
Circle W centre is (-3,0) - (0,-2)* = (-3,-2)
*note that the centre of the circle W is going down by 2 units this only affects the y axis hence the substraction
A dilation of a factor of 2 does not change the centre of the circle rather the radius ( the size of the circle decreases and hence the radius)
So now the radius becomes 8 UNITS/2 = 4UNITS
From the statements given,neither is correct
If the measure of angle 1 is (3 x minus 4) degrees and the measure of angle 2 is (4 x + 10) degrees, what is the measure of angle 2 in degrees?
Answer:
its 58
Step-by-step explanation:
The measure of angle 2 is 58 degrees
How to determine the measure of angle 2?The figure that completes the question is added as an attachment
The given parameters are:
Angle 1 = 3x - 4Angle 2 = 4x + 10Both angles add up to 90 degrees.
So, we have:
3x - 4 + 4x + 10 = 90
Evaluate the like terms
7x = 84
Divide both sides by 7
x =12
Substitute x =12 in Angle 2 = 4x + 10
Angle 2 = 4 * 12 + 10
Evaluate the expression
Angle 2 = 58
Hence, the measure of angle 2 is 58 degrees
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Stephanie
invests $6,688 in a savings
account with a fixed annual interest rate of
2% compounded 6 times per year. What
will the account balance be after 5 years?
Answer:
$7,390.15
Step-by-step explanation:
A = $7,390.15
A = P + I where
P (principal) = $6,688.00
I (interest) = $702.15
First, convert R as a percent to r as a decimal
r = R/100
r = 2/100
r = 0.02 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 6,688.00(1 + 0.02/6)^(6)(5)
A = 6,688.00(1 + 0.0033333333333333)^(30)
A = $7,390.15
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $6,688.00 at a rate of 2% per year compounded 6 times per year over 5 years is $7,390.15.
Find the value of n.
Answer:
n=45
Step-by-step explanation:
Sum of interior angles can be calculated using formula: 180(number of sides - 2).
Hexagon has: 720 degrees. we subtract two right angles and get 4x=540. The x is the angle supplement to n. x=135 => 180-x=35 => n=45.
please i really need help right now 25 points
Answer:
C.
Step-by-step explanation:
1) domain is: x≥7; range f(x)≥9.
2) answer C
PLEASE HELP! Need answer fast
Answer:
B.
Step-by-step explanation:
Because if you look closely you will be able to tell which answer it is by looking at the way the shape formed andjust breakaprt the shape .
Find the Value of X.
Answer:
x = 50
Step-by-step explanation:
The marked angles are vertical angles, so are congruent.
3x -3 = 147 . . . . congruent angles have equal measures
x -1 = 49 . . . . . divide by3
x = 50 . . . . . . add 1
I need help pls help pls help im writing this so this thing will stop bugging me to have a longer sentence
Answer:
The slope is 6
Step-by-step explanation:
m = y2 - y1/x2 - x1
ΔX = 3 – 2 = 1
ΔY = 7 – 1 = 6
6/1 = 6
Nolan is following his family's macaroni and cheese recipe. The recipe calls for 6 cups of shredded cheese and 4 tablespoons of milk. He wants to make a smaller bath, so he uses only 3 cups of shredded cheese How much milk does Nolan need for this smaller batch _____ tablespoons
The population of a village has increased this year by 8 percent.This year it's population is 10,800.How much was it's population last year?
Answer:
SOLUTION:-
Let,last year population be x.We have last year population+Increased population=10,800[tex]x + 8\% \: of \: x = 10800[/tex]
[tex]\displaystyle{x + \frac{8x}{100} = 10800 }[/tex]
[tex]\displaystyle{ \frac{100x + 8x}{100} = 10800}[/tex]
[tex]\displaystyle{ \frac{108x}{100} = 10800}[/tex]
[tex]108x = 10800 \times 100[/tex]
[tex]108x = 1080000[/tex]
[tex]x = \displaystyle{ \frac{1080000}{108} }[/tex]
[tex]x = 10000[/tex]
Therefore,required last year population=10000
Answer:
The Correct Answer is 10,000.
Step-by-step explanation:
Becuase The Question itself is providing us that this year it increased by 8%. Then the said that the total population for this year is 10,800. So, that tells us that the 8% equal 800. 10,000+800=10,800.
10,800-800=10,000
The correct answer is 10,000.
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