The piece of data from the data set is an outlier, if there is one is that there are no outliers. The correct option is D.
What is interquartile range?The interquartile range is a measure of statistical dispersion, or the spread of data, in descriptive statistics.
To identify outliers, we first need to calculate the median and the interquartile range (IQR) of the data set.
The median is the middle value of the data set when it is arranged in order. If there is an even number of values, the median is the average of the two middle values.
First, we arrange the data set in order:
{15, 20, 25, 30, 35, 40, 45, 45, 50, 55, 60}
The median is the middle value, which is 40.
Next, we calculate the IQR, which is the difference between the third quartile (Q3) and the first quartile (Q1) of the data set.
Q1 is the median of the lower half of the data set, and Q3 is the median of the upper half of the data set. To calculate Q1 and Q3, we first split the data set into two halves:
Lower half: {15, 20, 25, 30, 35}
Upper half: {40, 45, 45, 50, 55, 60}
Q1 is the median of the lower half, which is 25. Q3 is the median of the upper half, which is 50.
So, the IQR is:
IQR = Q3 - Q1 = 50 - 25 = 25
To identify outliers, we use the following rule: any value that is less than Q1 - 1.5 x IQR or greater than Q3 + 1.5 x IQR is considered an outlier.
Q1 - 1.5 x IQR = 25 - 1.5 x 25 = -12.5
Q3 + 1.5 x IQR = 50 + 1.5 x 25 = 87.5
We see that none of the values in the data set are less than -12.5 or greater than 87.5. Therefore, there are no outliers in this data set.
Thus, the answer is D) There are no outliers.
For more details regarding interquartile range, visit:
https://brainly.com/question/29204101
#SPJ3
A painting is going to be reprinted as posters. The dimensions of the painting are 3/4 of a yard to and 1/2 of a yard wide, The poster company is trying to determine how big to make the poster For each yard of width, how many yards of height are needed??
Answer:
3/8 yards
Step-by-step explanation:
3/4 yard tall and 1/2 yard wide
Multiply the two fractions
3/4 (1/2)
= 3/8 yards
If the width of the rectangular painting is one unit then the height of the painting will be 3/8 yards. Then the correct option is A.
What is a rectangle?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
A painting is going to be reprinted as a poster.
The dimensions of the painting are 3/4 of a yard and 1/2 of a yard wide.
The poster company is trying to determine how big to make the poster For each yard of width,
Let h be the height of the poster. Then we have
[tex]\rm h \times 1 = \dfrac{3}{4} \times \dfarc{1}{2}\\\\h \ = \dfrac{3}{8}[/tex]
If the width of the rectangular painting is one unit then the height of the painting will be 3/8. Then the correct option is A.
More about the rectangle link is given below.
https://brainly.com/question/10046743
Please help... Geometry
Answer:
i cant load the picture
Step-by-step explanation:
Answer:
[tex] \bold{a) \: BC} \: = \bold{ \boxed{13 \sqrt{2} }}[/tex]
[tex] \bold{b) \: x = 7}[/tex]
[tex] \large{ \mathbb{ \purple{hope \: it \: helps}}}[/tex]
Diego is selling raffle tickets for $1.75 per ticket.
a. Complete the table to show how much money he would earn if he sold each number of tickets.
b. How many tickets would Diego need to sell to earn $140? Explain your reasoning.
need ASAP
Answer:
The answer is 80
Step-by-step explanation:
Ann runs a day care center. Of the last 18 children to enroll at the day care center, 8 of them have been elementary school students. Considering this data, how many of the next 9 children to enroll should you expect to be elementary school students?
We would expect that 4 of the next 9 children to enroll will be elementary school students.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
If 8 out of the last 18 children to enroll at the daycare center were elementary school students,
We can find the fraction of elementary school students in that group by dividing the number of elementary school students by the total number of children:
= 8/18
= 4/9
This means that 4 out of every 9 children enrolled were elementary school students.
If we want to predict how many of the next 9 children to enroll will be elementary school students,
We can use this ratio:
4/9 of 9 children
= (4/9) x 9
= 4
Therefore,
We would expect that 4 of the next 9 children to enroll will be elementary school students.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ3
solve for x. no links.
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
35
Step-by-step explanation:
Rows: 7+7+7+7+7=35
Columns: 5+5+5+5+5+5+5=35
If line segment AB,A(9,3) and B(-6,-9), what scale factor was used to dilate if new line is at A'(3,1) and B'(-2,-3)?
Answer:
The scale factor is 1/3
Step-by-step explanation:
Here, we want to get the scale factor used in dilating the original segment
As we can see;
(9,3) turned to (3,1)
looking at this , we can see that both coordinate values were divided by 3
So what this mean is that the particular scale factor used is reduction by 1/3
This is the case with the other point as (-6,-9) turned to (-2,-3)
algebra 1 chapter 10
Answer:
wheres the question ?
Step-by-step explanation:
PLZZZZZZZZ HELLLPPPPP DUEEE TODAY!!!!!!!!!!!!!!!!!
Answer:
12^5
Step-by-step explanation:
36^5=3^5×x^5
36÷3=12
Which of the following transformations does not
preserve congruence?
F. (x,y) → (-x, -Y)
G. (x, y) = (-y, -x)
H. (x, y) = (x + 9.y + 9)
J. (x,y) → (9x, 9y)
Answer:
(9x, 9y) dilation
Step-by-step explanation:
(9, 9y) is the answer because F is 180 degrees rotations, G is not real, H is translations, and J is dilations and dilations is multiplying which makes the transformation non congruent.
Your welcome
solve for x: x^2-5x-24
Answer:
(x-8) (x+3)
Step-by-step explanation:
The ratio of two numbers is 8: 5. Their sum is 91. What is the
greater number?
Answer:
Step-by-step explanation:
a:b = 8:5
a = 8x, b= 5x
a+b = 91
13x = 91
x = 7
a=8x = 56
b = 5x = 35
The larger number is 56
Placed the following quadratic in vertex form by completing the square and then state the coordinates of its vertex?
Y=x^2+18x-12
Answer:
y = (x + 9)² -93
vertex: (-9, -93)
Step-by-step explanation:
x² + 18x = 12
x² + 18x + 81 = 12 + 81
(x+9)² = 93
y = (x + 9)² -93
vertex: (-9, -93)
Given the matrices AA and BB shown below, find A-B.A−B. A=\begin{bmatrix} 3 \\ 0\end{bmatrix}\,\,\,\,B=\begin{bmatrix} -1 \\ 0\end{bmatrix} A=[ 3 0 ]B=[ −1 0 ]
Answer:
[4 0]
Step-by-step explanation:
Given that:
[tex]A=[3\ \ 0], B=[-1\ \ 0][/tex]
Matrices is an array of numbers, symbols and expressions arranged in rows and columns. Matrices can be used to solve system of equations. Many mathematical operations can be done on matrices such as addition, subtraction, multiplication, scalar multiplication and so on.
Addition and subtraction of two matrices can be done if they have the same dimensions. This is done by simply adding or subtracting the corresponding entries in matrices.
[tex]A=[3\ \ 0], B=[-1\ \ 0]\\\\A-B=[3-(-1) \ \ 0-0]=[4\ \ 0][/tex]
What is the slope of the line?
- 4x + 7 = 2y - 3
Choose 1 answer:
А.
-3
1
B
B
3
© -2
1
2
Answer:
C, -2
Step-by-step explanation:
-4x + 7 = 2y - 3
-4x + 10 = 2y
-2y = 4x - 10
y = -2x + 5
Which of the following is not a factor of the polynomial p(x) = x³ - 23x² + 142x - 120?
Options :
A(x - 1)
B(x - 10)
C(x - 5)
D(x - 12)
no spam answers and explain how you got the solution.
Answer:
The correct answer is C- (X-5)Solution
Given -
polynomial p(x) = x³ - 23x² + 142x - 120
Now see the coefficients
coefficient of x³ is 1 x² is -23 x is 142 and then -120
when you'll add this coefficients
i.e.
1-23+142-120=0
When sum of the coefficient turn out 0 then x = 1
using x=1, x-1 = 0
devide the given polynomial p(x) = x³ - 23x² + 142x - 120 by x-1 you'll get rest two factors hence
Answer is option C
Please help I’ll make you the brainiest
Answer:
B is the right answer
Step-by-step explanation:
1(z^8-20)
=1/z^12
Answer:
1/z¹² (3rd answer choice)
Step-by-step explanation:
z0(z2z−5)4
=
z8/z20
=
1/z¹²
How do I give Brainlest
Answer:
Press the crown button
Step-by-step explanation:
my grades not looking to well if you guys can help me with some problems i will give points and brainliest i need this problem and a few more done
Answer:
8 unitsStep-by-step explanation:
Parallel lines cut the transversals into proportional segments:
ST / UT = SR / QRST / 16 = 18/ 36ST / 16 = 1/2ST = 16/2ST = 8ST be x
Apply Thales theorem
x/16=18/36=1/2x=16/2ST=8unitw8th grade Math. Help pls, I will mark brainliest
Find two numbers that meet the requirements of the situation in each question. Put the smaller of the two numbers in the first blank and the larger of the two numbers in the second blank.
Multiply to give you 24 and add to give you -10.
Answer:
-6, -4
Step-by-step explanation:
-6 x -4 = 24
-6 + -4 = -10
Answer:
-6 and -4
Step-by-step explanation:
two negs multiplied =positive
two negs added = negative
Write the product using exponents. (1/3.(1/3)(1/3) Using exponents, the product is
Answer:
The answer is 1/3 to the power of 3
Step-by-step explanation:
7 2/5 - 3 1/8=
Another one
Answer:
The answer is 4.725
Step-by-step explanation:
Answer:
4.725 is the correct answer
Step-by-step explanation:
The eastbound train travels 10 miles per hour faster than the westbound train. After 2 hours, they are 232 miles apart. At what speeds are the two trains traveling?
Answer:
48,58
Step-by-step explanation:
Let The speed of the west bound train be x
Let the east bound train be x+10
The speeds can be calculated as follows
2(2x+10)= 232
4x + 40= 232
4x= 232-40
4x= 192
x= 192/4
= 48
Hence the speedof the west bound train is 48
The speed of the east bound train is 48+10
= 58
Marking brainliest , help pls
Answer:
the answer is c) 5,2 hope this helped
Answer:
(5,2)
Step-by-step explanation:
its the only one in the purple
What is the solution to the system of equation of 2x+3y=6 and x-3y=9
Answer:
x = 5
y = -4/3
Step-by-step explanation:
Solve by elimination by adding the two equations together:
2x + 3y = 6
x - 3y = 9
3y and -3y will cancel out. Then, solve for x:
3x = 15
x = 5
Plug in 5 as x into one of the equations, then solve for x:
x - 3y = 9
5 - 3y = 9
-3y = 4
y = -4/3
So, the answer is x = 5 and y = -4/3
Jello umm please help me
Answer:
go from smallest to largest
Step-by-step explanation:
hope it helps man
EASY- Han has to build the figure below, which will serve as a counterweight, for his robotics project. Find the VOLUME of the finished object assuming it is empty inside.
Given:
A combined figure of a triangular prism and a cuboid.
To find:
The volume of the finished object assuming it is empty inside.
Solution:
From the given figure it is clear that the dimensions of the cuboid are 6 cm, 8 cm and 5 cm.
So, the volume of the cuboid is:
[tex]V_1=length\times width\times height[/tex]
[tex]V_1=6\times 8\times 5[/tex]
[tex]V_1=240[/tex]
The volume of the cuboid is 240 cubic cm.
The area of a triangle is:
[tex]Area=\dfrac{1}{2}\times base\times height[/tex]
Thus, the base area of the triangular prism whose base is 8 cm and height 4 cm, is:
[tex]B=\dfrac{1}{2}\times 8\times 4[/tex]
[tex]B=16[/tex]
The volume of a triangular prism is:
[tex]V_2=Bh[/tex]
Where, B is the base area and h is the height of the prism.
The base area of the triangular prism is 16 square cm and the height is 5 cm. So, the volume of a triangular prism is:
[tex]V_2=16(5)[/tex]
[tex]V_2=80[/tex]
Now, the volume of the given figure is:
[tex]V=V_1+V_2[/tex]
[tex]V=240+80[/tex]
[tex]V=320[/tex]
Hence, the volume of the finished object is 320 cubic cm.
state the angle pair relationship then find the value of x
Answer:
x = 11
Step-by-step explanation:
The given angles are corresponding angles and are congruent, then
12x - 9 = 10x + 13 ( subtract 10x from both sides )
2x - 9 = 13 ( add 9 to both sides )
2x = 22 ( divide both sides by 2 )
x = 11
Nevaeh went shopping for a new phone because of a discount sale. She multiplied the price of the phone by 0.95 to find the price she would actually have to pay, before tax. What percent discount is the sale?
Answer:
95% off
Step-by-step explanation:
because the percent u times by the actual price is the percent u have off