From the interquartile range of the distribution, the fences for non-outliers are given as follows:
Lower: 0.Upper: 657.65.What is the missing information?
The quartiles of the distribution are given as follows:
The interquartile range of a distribution is given by the difference of the third quartile by the first quartile, that is:
IQR = Q3 - Q1.
Outliers are given by:
1.5 IQR below Q1.1.5 IQR above Q3.For this problem, the IQR is:
IQR = 529.7 - 273.8 = 255.9.
Hence the fences are:
Lower: 273.8 - 1.5 x 255.9 = -110.05, negative numbers are not possible in the range of the question, hence the lower fence is of 0.Upper: 273.8 + 1.5 x 255.9 = 657.65.More can be learned about the interquartile range of a distribution at https://brainly.com/question/17083142
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what is the range of h
Answer:
B
Step-by-step explanation:
h(x) is a discrete function, so its domain and range only contain individual points.
h(x) contains the points (-5, -2), (-4, 2), (0, 6), (2, -4), and (4, 4)
Look at the y-coordinates: -2, 2, 6, -4, 4
Arrange them in order: -4, -2, 2, 4, 6 ==> B
An employment agency specializing in temporary construction help pays heavy equipment operators $136 per day and general laborers $80 per day. If thirty-two people were hired and the payroll was $3960, how many heavy equipment operators were employed? How many laborers?
The number of heavy equipment operators employed is 26 while number of laborers employed is 6
How to solve Algebraic word problems?
Let x be the number of heavy equipment operators employed
Thus, If thirty-two people were hired, then we can say that;
32 - x represents the number of laborers employed
Thus, the equation to solve for x would be;
136x + 80(32 - x) = 3960
136x + 2560 - 80x = 3960
216x + 2560 = 3960
216x = 3960 - 2560
216x = 1400
x = 1400/216
x ≅ 6
Thus;
32 - x = 32 - 6 = 26
Thus, we conclude that number of heavy equipment operators employed is 26 while number of laborers employed = 6
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14. Which expressions are equal to 10^-5? Select all that apply.
10^5
10,000
10,000^-5
1/10^5
1/10,000
Answer:
It is C.
Step-by-step explanation:
Since 10 is to the power of negative five the number would be smaller than it was originally.
Select the part of speech for the underlined words below. Sometimes I am as ORNERY and STUBBORN as an old donkey. adverb conjunction preposition adjective
Answer:
Adjective
Those are describing words
13 Aura 30% increase the new price of a book is $91.00. What was the original price of the book?
The old/Original value of the book before 30% increase in price is $70
Let us assume the old price of book before30% increase be x
Then the new price of the book after 30% increase would be x+ 30% of x
Which can be simplified as x+ 0.30x
Which further can be simplified 1.30x
As we are provided with the new price of book, we have to equate the above linear equation with the new price of the book
1.30x = $91
To solve the equation we need to move 1.30 from left hand side to right hand side which would change from to
X= 91/1.30
X=$70
Hence the old value of the book before 30% increase in price is $70
Correct question is if 30% increase in price of a book and the new price of a book is $91.00. What was the original price of the book?
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61% of 407 estimates using a rate per 100
The 61% of 407 estimates 248. 27
What is percentage?
Percentage can be defined as the ratio of a number to 100
Example;
The percentage of 55 is expressed as;
= 55/ 100
From the information given, we have to determine 61% of 407
This is expressed as;
= 61/ 100 × 407
= 0. 61 × 407
= 248. 27
Thus, the 61% of 407 estimates 248. 27
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Use the graph to fill in the blank with the correct number. f(0) = ________ X, Y graph. Plotted points negative 3, 0, negative 2, 2, 0, 1, and 1, negative 2. Numerical Answers Expected! Answer for Blank 1:
Hello, :)
Points are (-3,0) , (-2,2), (0,1) and (1,2)
f(0)=1
Solve for |y| = -18.
Answer:
18
Step-by-step explanation:
bc it is asking for the absolute value
A sole proprietorship that began business on May 1, 2021, incurred $7,500 of start-up expenses. If the business elects to report the maximum amount of start-up costs as a current expense, what is the amortization amount reported as an "other expense" on Schedule C (Form 1040) for the first year of business?
$0
$111
$167
$333
Based on the start-up expenses to the sole proprietorship, the amortization amount reported as an "other expense" on Schedule C (Form 1040) for the first year of business will be $111.
What is the amortization amount?Before the amortization amount can be calculated, a deduction of $5,000 should be made because the start-up costs were less than $50,000.
The amount to be amortized is therefore:
= 7,500 - 5,000
= $2,500
The amount to be amortized will be amortized over 15 years. As the business started on May 1, 2021, there are only 8 months left in the year.
The amortization amount is:
= (2,500 x 8 months) / ( 15 x 12 months a year)
= $111
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7) If a = 2, b = 3, c = 4, and d = 12, evaluate 6c-4b
Answer:
12
Step-by-step explanation:
Step1:- substitute the values of a and b in the equation
6(4)-4(3)
Step2:- solve the expression
6(4)=6×4=24
4(3)=4×3=12
so 6(4)-4(3)=24-12= 12
There are 63 students going on the trip, and you want to divide them up between 15 chaperones with 4 or 5 students in each group. How many groups will have 4 students, and how many will have 5?
There are 12 groups with 4 students and 3 groups with 5 students
How many groups will have 4 students, and how many will have 5?Represent the students as follows:
Group with 4 students = x
Group with 5 students = y
So, we have the following system of equations
4x + 5y = 63
x + y = 15
Make x the subject in x + y = 15
x = 15 - y
Substitute x = 15 - y in 4x + 5y = 63
4(15 - y) + 5y = 63
Expand
60 - 4y + 5y = 63
Evaluate
y = 3
Substitute y = 3 in x = 15 - y
x = 15 - 3
This gives
x = 12
Hence, there are 12 groups with 4 students and 3 groups with 5 students
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Solve this volume based this question brainliest! brainliest! 50 points.
The volumes of the cylinder and cone are calculated using a radius r to give;
The volume of the cylinder and cone combined is (8/3)•π•r³ How can the volumes of the solid figures be calculated?The radius of cylinder = r
Height of the cylinder = 2•r
Radius of cone = r
Height of the cone = 2•r
Volume of the cylinder, Vc = π•r²•(2•r) = 2•π•r³
Volume of the cone, Vco == (1/3)•π•r²•(2•r)
Which gives; Vco == (2/3)•π•r³
The combined volume is therefore;
V = Vc + Vco = 2•π•r³ + (2/3)•π•r³ = (8/3)•π•r³
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36. THOUGHT PROVOKING
Draw a different figure that
has the same perimeter as
the triangle shown. Explain
why your figure has the
same perimeter.
x+3
3x
2x + 1
A possible figure that has the same perimeter as the given triangle is a rectangle with side lengths, x + 1, x + 1, 2•x + 1, 2•x + 1
Please find attached the drawing of the figure of the rectangle, that has the same perimeter (6•x + 3) as the triangleHow can the perimeter of the triangle be calculated?The perimeter of a two dimensional geometric figure is its total boundary length.
The perimeter is given by the addition of the lengths of all the sides of the figure.
The perimeter, P, of the given triangle is therefore;
P = x + 3 + 2•x + 1 + 3•x = 6•x + 3
The perimeter, P = 6•x + 3
A different figure, drawn, that has the same perimeter as the given triangle (6•x + 3) is a rectangle that has side lengths of x + 1, 2•x + 1, x + 1, and 2•x + 1.
Please find attached the drawing of a rectangle that has a perimeter of 6•x + 3, which is the same as the perimeter of the triangle.
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A florist prepares an order of daisies and roses. For every 5 daisies, she orders 2 roses. What two equations show the relationship between the number of daisies and the number of roses.
According to the solving the relationship between d and r are:
d = 2.5*r
r = d/2.5
What is relations in Mathematics?The relation in mathematics refers to the relationship between two or more types of values. Assume that x1 and x2 are two ordered pair sets. If set x is related to set y, the values of set x are referred to as domain, whereas the numbers of set y are referred to as range.
What exactly is a fundamental relationship?A base relation is simply a physical table that is maintained in a database. In contrast, a view is formed from base relations but it doesn't physically exist in the database; it only exists as either a structural definition that pulls data from a number of different base relations.
According to the given data:Given : 5 daises to 2 roses
d ∝ r
where d=daises and r=roses
d = kr
k = d/r
k = 5/2
k = 5.2
So,
d = 2.5 x r...............equation(1).
making r subject in eq (1)
r = d/2.5 ........................equation(2)
According to the solving the relationship between d and r are:
d = 2.5*r
r = d/2.5.
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Thor travels 49 miles per hour. How long does it take him to travel 294 miles? Your answer should be in Miles, accurate to at least the nearest tenth.
Answer: I think it's 6 hours. If you do 294 divided by 49 which will give you 6 which means you traveled 294 miles in 6 hours.
What is -(9) fourth power
Answer:-9 to the fourth power is -6561
Step-by-step explanation: You would have to do 9 times 9 times 9 times 9 and that would equal 6561 then you would add the negative.So therefore the answer is -6561.
Please give brainliest if right.
Answer:
-6561
Step-by-step explanation:
[tex]-9^4 = -9 \times -9 \times -9 \times -9 = -6561[/tex]
-16 x 3/4 =
A. -12
B. 1/2
C. -1/12
D. 12
A.-12
-16 * 3/4
-48/4
-12
X
What is the missing number 7 + = 15 - 4
Answer:4
Step-by-step explanation:
7+4=11
15-4=11
Un parque de diversiones quiere construir balsas con 3 troncos de palmera, los cuales miden 15, 9 y 6 metros, ¿cuánto
deben medir los pedazos de tronco si tienen que ser del mismo tamaño?, ¿cuántos pedazos de troncos saldrán?
Encontrando un factor comun entre los 3 números dados, concluimos que cada pedazo de tronco debe medir 3 metros, y se obtendran 10 pedazos en total.
¿cuánto deben medir los pedazos de tronco si tienen que ser del mismo tamaño?Sabemos que los troncos miden 15, 9, y 6 metros, si los queremos cortar en pedazos de igual longitud, de tal forma que nada se desperdicie, entonces debemos encontrar un factor comun entre esos 3 numeros.
Los podemos reescribir como:
15 = 3*5
9 = 3*3
6 = 2*3
Entonces el unico factor comun entre las 3 longitudes es 3.
El tronco de 15 metros dará:
15/3 = 5 pedazos de tronco.
El tronco de 9 metros dará:
9/3 = 3 pedazos de tronco.
El tronco de 6 metros dará:
6/3 = 2 pedazos de tronco.
Sumando eso obtenemos 5 + 3 + 2 = 10 pedazos en total.
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Write 7.83 x 10-3 in standard notation
Answer:
0.00783
Step-by-step explanation:
7.83 × 10^-3
Move the decimal point 3 places to the left.
7.83 × 10^-3 = 0.00783
Naveen Borah is a maintenance worker, He earns $12.80 per
hour for 40 hours and time and a half for overtime. He worked
48 hours last week. What is his pay for the week?
Answer: $563.2
Step-by-step explanation:
h=hours. T=total money earned in a week. o=overtime pay
o=12.8/2
o=6.4
T=12.8(40)+6.4(h-40)
T=512+6.4h-256
T=512-256+6.4h
T=6.4h+256
T=6.4(48)+256
T=307.2+256
T=$563.2
█░█░█ █░█ ▄▀█ ▀█▀ █▀ ▀█ ▄█▄ ▀█ ▀█
▀▄▀▄▀ █▀█ █▀█ ░█░ ▄█ █▄ ░▀░ █▄ ░▄
Answer: 54
Step-by-step explanation:
52 + 2 = 54
Find the missing number.
Number of toffees
2
Your answer
4
6
8
Number of children
12
X
36
48
5 points
Answer:
24
Step-by-step explanation:
Each no. of toffee is multiplied by 6 to get the no. of children to have a toffee.
Given that f(x)=2x^2-4x+5 determine if the graph is a maximum or minimum
The graph of f(x) = 2x^2 - 4x + 5 is a minimum
What are quadratic equations?Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to determine if the graph is a maximum or minimum?The equation of the function is given as
f(x) = 2x^2 - 4x + 5
The above equation is a quadratic equation.
A quadratic equation is represented as:
f(x) = ax^2 + bx + c
By comparison, we have
a = 2
b =-4
c = 5
If the value of a is positive, the graph is a maximum.
Since the value of a is 2, then it means that the graph is a minimum
Hence, the graph of f(x) = 2x^2 - 4x + 5 is a minimum
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How can you increase your efficiency in solving mathematical problems?
Answer:
Solving Math equations helps work on the left side of your brain which is in charge of receiving information. Whether you’re performing a logical or creative function, you’re receiving input from both sides of your brain. For example, the left brain is credited with language, but the right brain helps you understand context and tone. The left brain handles mathematical equations, but the right side of the brain helps out with comparisons and rough estimates.
Thanks and Brainliest would be appreciated!
Alana is writing a coordinate proof to show that the diagonals of a rectangle are congruent. She starts by assigning coordinates to a rectangle as shown. Then she uses the coordinates to write and simplify expressions for the lengths of the diagonals.
Answer:
8.6
Step-by-step explanation:
Distance between two points
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\textsf{where $(x_1,y_1)$ and $(x_2,y_2)$ are the two points}.[/tex]
Define the points:
[tex]\textsf{Let}\:(x_1,y_1)=(0,0)[/tex][tex]\textsf{Let}\:(x_2,y_2)=(7,5)[/tex]Substitute the defined points into the formula:
[tex]\implies d=\sqrt{(7-0)^2+(5-0)^2}[/tex]
[tex]\implies d=\sqrt{7^2+5^2}[/tex]
[tex]\implies d=\sqrt{49+25}[/tex]
[tex]\implies d=\sqrt{74}[/tex]
[tex]\implies d=8.6\;\;\sf (nearest\: tenth)[/tex]
Therefore, the length of one of the diagonals of the rectangle is 8.6.
I am thinking of a decimal number less than one. The hundredths digit is four times more than the tenths digit. The sun of the tenths and hundredths digit is 10. What number am I thinking of?
Answer:
The number would be 0.28.
here, in tenths position is 2 and in hundredths position is 8.
so, 8 = 4 x 2
and 8 + 2 = 10.
Find m
A)36
B)80
C)56
D)44
E)124
Answer:
44
Step-by-step explanation:
vertical angles
(2ax2a)+(3bx3b)-(2x2ax3b)
-2(y + 1) + 5y = 3(y + 1) - 2
solve for y
Answer:
0 = 3 or No Solution
Step-by-step explanation:
a) Simplify both sides of the equation
−2(y + 1) + 5y = 3(y + 1) − 2
(−2)(y) + (−2)(1) + 5y = (3)(y) + (3)(1) + −2
−2y + −2 + 5y = 3y + 3 + −2
(−2y + 5y) + (−2) = (3y) + (3 + −2)
3y + −2 = 3y + 1
3y −2 = 3y + 1
b) Subtract 3y from both sides
3y − 2 − 3y = 3y + 1 − 3y
−2 = 1
c) Add 2 to both sides
−2 + 2 = 1 + 2
0 = 3 or No Solution