The difference between the median is 0.5. option D
What is the difference?Getting the sets of values that we have in order, we can see that we have;
12, 15, 33, 45, 46, 51, 52, 93
We can find the median between 4th and 5th numbers this is now going to give us that; (45+46)/2 = 45.5
Median value = 45.5
We can see that 93 is the outlier in the data set so if we remove it we would have;
12, 15, 33, 45, 46, 51, 52
The median of the data set in this case is 45.
The difference is;
45.5 - 45 = 0.5
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Missing parts;
The number of lattes sold daily for two coffee shops is shown in the table:
Lattes
12
52
93
33
51
15
46
45
Based on the data, what is the difference between the median of the data, including the outlier and excluding the outlier?
A.46
B.45.5
C.45
D.0.5
I need help
Grinding
Answer: 500
Step-by-step explanation:
25 x 20 = 500
Find the surface area of the cylinder. Use 3.14 for pi.
Answer:
527.52 ft²
Step-by-step explanation:
The surface area of a cylinder is:
[tex]\displaystyle{2\pi r^2 + 2\pi r h}[/tex]
where r is radius and h is height.
From the attachment, we know that the radius (r) is 7 ft and the height is 5 ft. Therefore:
[tex]\displaystyle{\text{Surface Area} = 2 \cdot 3.14 \cdot (7)^2 + 2\cdot 3.14 \cdot 7 \cdot 5}\\\\\displaystyle{\text{Surface Area} = 6.28 \cdot 49 + 6.28 \cdot 35}\\\\\displaystyle{\text{Surface Area} = 307.72 + 219.80}\\\\\displaystyle{\text{Surface Area} = 527.52 \ \: \text{ft}^2}[/tex]
Therefore, the surface area of the cylinder is 527.52 ft²
When you arrive at the family reunion, Uncle Mandla has already eaten 5 mini hot dogs. He continues to eat them at a rate of 4 hot dogs per minute. y = 4x + 5 models this situation. Make a graph of this situation
The graph of y = 4x + 5 that models this situation is added as an attachment
How to determine the graph of the situationFrom the question, we have the following parameters that can be used in our computation:
Already eaten = 5 mini hot dogs
Rate = 4 hot dogs per minute
So, the equation is
y = 4x + 5
A linear equation is represented as
y = mx + c
Where
slope = m = 4
y-intercept = c = 5
See attachment for the graph
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selena erned $4,283.30 last month
The money left from last month's earnings is $1660.35.
What is Subtraction?Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.
The process of subtraction can also be termed as finding difference.
In order to find the money left, we have to find the difference of earnings and expense.
Earnings = $4,283.30
Expense for bills = $4,283.30 × (3/5) = $2569.98
Expense for shirts = $19.99 × 2 = $39.98
Expense for sunglasses = $12.99
Total expense = $2569.98 + $39.98 + $12.99 = $2622.95
Money left = $4,283.30 - $2622.95 = $1660.35
Hence $1660.35 amount of money is left.
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The complete question is :
Selena earned $4,283.30 last month she used 3/5 of her earnings to pay her bills with the remaining money she bought two shirts $19.99 each and a pair of sunglasses for $12.99 how much money does Selena have left from last month's earnings?
11-12÷4+3(6-2)...anyone?
Answer:
the answer is 20
Step-by-step explanation:
.........
Answer:
20
Step-by-step explanation:
Do it one step at a time using the correct order of operations.
11 - 12 ÷ 4 + 3(6 - 2) =
= 11 - 3 + 3 × 4
= 8 + 12
= 20
Chee is taking a multiple choice test with a total of 100 points available. Each question is worth exactly 4 points. What would be Chee's test score (out of 100) if she got 10 questions wrong? What would be her score if she got a questions wrong? Score with 10 questions wrong. score with x questions wrong
Answer:
i hope this help
Step-by-step explanation:
If each question is worth 4 points, then 100 questions would be worth 400 points.
If Chee got 10 questions wrong, she would have answered 100-10 = 90 questions correctly.
Her score would be 90 x 4 = 360 points out of 400 points.
As a percentage, her score would be 360/400 x 100 = 90%.
If Chee got x questions wrong, her score would be (100-x) x 4 points.
Why has she putten these parentheses? And the first number (xe2) goes from positive to negative ((-2)e2) and then back to positive (4)?
[tex]x=-2\hspace{5em}y=2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{x^2 - y^3}{x^3 + y^2}\implies \cfrac{(-2)^2 - (2)^3}{(-2)^3 + (2)^2}\implies \cfrac{(-2)(-2)~~ - ~~(2)(2)(2)}{(-2)(-2)(-2)~~ + ~~(2)(2)} \\\\\\ \cfrac{(+4)~~ - ~~(+8)}{(-8)~~ + ~~(+4)}\implies \cfrac{4-8}{-8 + 4}\implies \cfrac{-4}{-4}\implies \text{\LARGE 1}[/tex]
for the sake of clarity, is better to parenthesize all, since plugging in the value for the variable, only includes the variable, no any exponents or signs in front.
that said, let's recall that minus * minus = plus, and that plus * plus = plus, however minus * plus = minus.
so you can think of it this way, if you have a negative value multiplied an "even times", it'll positivize, if you multiply it an "odd times", it'll go back to negative, so is not like it remains negative, it changed a few times and in the end negativized back.
Which of the following is the result of rewriting the formula to solve for l
A.
B.
C.
D.
Step-by-step explanation:
Since we're solving for L, it has to equal L.
Which means C & D are the only options.
Only problem is... we don't have the original formula. Not sure if it was part of #1 or...
two negative integers have a sum of -17 and a product of 70 what are the integers?
Answer:
-10 and -7
Step-by-step explanation:
Notice that (-10) + (-7) = -17, and (-10)(-7) = 70, so these are the integers.
Answer:
-7 & -10
Step-by-step explanation:
-7 + -10 = -17
-7 x -10 = +70
Fill in the blank with the value that makes the
number sentence true:
36 +27= 88 - O
The number 25 is the value at which the number sentence is true. An enumerated (numbered) list can be presented in sentence form in a variety of ways.
How should numbered sentences be written?An enumerated (numbered) list can be presented in sentence form in a variety of ways. The number (not the number word) can be placed in parentheses in the following manner: I listed the following three causes: Here is my first justification, this is my second justification, and this is my third justification. A number sentence compares two numerical expressions and states their equivalence (or inequality).
Let the value be x
now 36 + 27 = 88 - x
36 + 27 = 88 - x
63 = 88 - x
x = 88 - 63
x = 25
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Sebastian is preheating his oven before using it to bake. The initial temperature of the oven is 75° and the temperature will increase at a rate of 25° per minute after being turned on. What is the temperature of the oven 17 minutes after being turned on? What is the temperature of the oven
t minutes after being turned on?
Temp after 17 minutes:
Temp after t minutes:
Answer: The temperature of an oven can be modeled by a linear equation. In this case, the initial temperature of the oven is 75° and it will increase at a rate of 25° per minute after being turned on.
The equation to model the temperature of the oven t minutes after being turned on is:
Temp = 75 + 25t
Where Temp is the temperature of the oven in degrees and t is the number of minutes after being turned on.
For example, if we want to find the temperature of the oven 17 minutes after being turned on, we can substitute t = 17 into the equation:
Temp = 75 + 25 * 17 = 75 + 425 = 500°
So, the temperature of the oven 17 minutes after being turned on is 500°.
In general, the temperature of the oven t minutes after being turned on can be found by substituting the value of t into the equation:
Temp = 75 + 25t.
Step-by-step explanation:
The temperature of an oven can be modeled by a linear equation. In this case, the initial temperature of the oven will be; 75° and it will increase at a rate of 25° per minute after being turned on.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The equation to model the temperature of the oven t minutes is:
Temp = 75 + 25t
Where, Temp is the temperature of the oven in degrees and t is the number of minutes after being turned on.
For example, if we need to find the temperature of the oven 17 minutes after being turned on, we can substitute t = 17 into the equation:
Temp = 75 + 25 * 17 = 75 + 425
Temp = 500°
Thus, the temperature of the oven 17 minutes after being turned on is 500°.
In general, the temperature of the oven t minutes after being turned on can be find by substituting the value of t into the equation:
Temp = 75 + 25t.
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Draw a model for each of the following multiplication problems: A. 4 x 2/3 B. 3 x 2/5
The total number of shaded squares will be equal to the product of 4 x 2/3.
How draw a model?A. For the problem 4 x 2/3, you can draw a model using rectangular arrays or area models. Draw four columns, each representing one of the four groups, and two rows to represent the two-thirds. Shade in two-thirds of the first column, then repeat for the next three columns. The total number of shaded squares will be equal to the product of 4 x 2/3.
B. For the problem 3 x 2/5, you can also draw a model using rectangular arrays or area models. Draw three columns, each representing one of the three groups, and two rows to represent the two-fifths. Shade in two-fifths of the first column, then repeat for the next two columns. The total number of shaded squares will be equal to the product of 3 x 2/5.
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Find the value of c. Round to the nearest tenth
The value of x is 16.2.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
Perpendicular = 18
Base = x
Tan Ф = Perpendicular / Base
Tan 48 = 18 / x
1.11 = 18/x
Solve for x.
1.11 = 18/x
x = 18/1.11
x = 16.22
x = 16.2
Thus,
x is 16.2
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Need assistance here looking REAL Answer and Solution please so i can understand. Please help math expert there.
The value of y'(2) is 135/16.
The correct option is A.
What is differentiation?Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of change based on one of its variables.
Given:
y = (x - 1/x)³
Differentiating the function with respect to x,
y' = 3x² +3/x⁴ - 3 - 3/x²
y'(2) = 12 + 3/16 - 3 -3/4
y'(2) = 135/16
Therefore, the value is 135/16.
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The product of one-fourth and the quantity of the sum of x and eight
Answer:
Step-by-step explanation:
Are you asking to have this sentence put into a mathematical expression? If so, I think the answer is:
y = (1/4)(x + 8) = 1/4 x + 2
10. La exigencia mínima para un cargamento de grava es que 85% de la grava pueda pasar a través de un colador de cierto tamaño. Al probar una carga de 6 yardas cúbicas se observó que solo un 65% cumple. ¿Cuánta grava de 90% se deberá agregar a las de 65% para que sea aceptable?
Se requiere agregar un volumen adicional de 24 yardas cúbicas para obtener una concentración de grava de 85 %.
¿Cuánta grava se debe agregar para mejorar concentración?
Este problema es un caso de aplicación de promedios ponderados, en donde se mezcla un volumen de un porcentaje menor de grava con otro volumen de un porcentaje mayor de grava para obtener una mezcla con un porcentaje deseado. Esta situación queda descrita en la siguiente ecuación:
(6 yd³) · 65 + x · 90 = (6 yd³ + x) · 85
Donde x es el volumen del cargamento de grava al 90 %, en yardas cúbicas. A continuación, procedemos a determinar el volumen requerido:
390 + 90 · x = 510 + 85 · x
5 · x = 120
x = 24 yd³
ObservaciónNo aparecen problemas verificados en español sobre promedios ponderados. Se ha agregado un problema en inglés por defecto.
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A fair spinner contains the numbers 1, 2, 3, 4, and 5. For an experiment, the spinner will be spun 5 times. If Event A = the spinner lands on numbers all less than 3, what is an outcome of Event A?
Any sequence of five spins that consists only of numbers 1 and 2 would be an outcome of Event A.
What is an outcome of Event A?From the question, we have the following parameters that can be used in our computation:
Event A = the spinner lands on numbers all less than 3
An outcome of Event A would be a sequence of five spins on the spinner that result in numbers all less than 3,
For example: 1, 2, 1, 2, 1.
See that each number in the above sequence is less than 3
Hence, the event A represents outcomes less than 3
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PLEASE HELP!!!!!!!!
TW=12, VW=8, What is the length of UW?
Answers:
A UW=8
B UW=12
C UW=4
D UW=18
The length of the UW of the triangle is 18. The correct option is D.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle, the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
The length UW will b calculated as:-
First, in ΔTWU apply the Pythagorean theorem,
TU² = UW² + 12²
TU² = UW² + 144
In ΔTWV apply the Pythagorean theorem,
VT² = 12² + 8²
VT² = 208
Apply Pythagorean theorem in ΔVTU,
( 8 + UW)² = VT² + TU²
Substitute the value of TU² in the above equation,
( 8 + UW)² = 208 + UW² + 144
UW² + 16UW + 64 = UW² + 208 + 144
16UW = 288
UW = 288 / 16 = 18
Therefore, the length of UW is 18.
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Sunday, Peeta earned $142.20 working at his fmaily's bakery. He earned $5.50 per hour plus $90.20 in tips.
Create an equation that can be used to determine the njmber of hours, h, Peeta worked on Sunday.
Peeta worked 9.41 hours on Sunday. The equation 5.5h + 90.2 = 142.2 can be used to determine the number of hours Peeta worked given his earnings.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Let h be the number of hours that Peeta worked on Sunday. We know that he earned $5.50 per hour and $90.20 in tips. So, his total earnings can be represented as:
5.5h + 90.2 = 142.2
Solving for h:
5.5h = 142.2 - 90.2
5.5h = 52
h = 52 / 5.5
h = 9.41 hours
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In May 2003, JP Gas Co. had the following rate schedule for natural gas usage in single-family residences. Gas is
measured in units called therms. All customers pay a monthly charge. They also pay a distribution charge based on
the amount of gas they use and a supply charge that is also based on the amount of gas they use. The fees are as
follows:
Monthly Customer Charge $6.45
Distribution Charge
1st 20 therms $0.20/therm
Next 30 therms $0.11/therm
Over 50 therms $0.04/therm
Gas supply charge $0.73/therm
a) What is the charge for using 40 therms?
b) What is the charge for using 202 therms?
c) Construct a function that gives the monthly charge C for the x therms of gas.
Answer:
a) $40.05
b) $161.99
c) C(x) = 6.45 + 0.93x, if x ≤ 20
C(x) = 6.45 + 0.84x, if x > 20 and x ≤ 50
C(x) = 6.45 + 0.77x if x > 50
2,5 days to 80 hours ratio
The ratio of 2 days to 80 hours and 5 days to 80 hours is 1 day : 40 hours and 1 day : 16 hours respectively.
How to calculate ratio?2, 5 days : 80 hours
So,
2 days : 80 hours
= 2/80
= 1/40
= 1 day : 40 hours
Also,
5 days : 80 hours
= 5/80
= 1/16
= 1 day : 16 hours
Hence, the ratio of days to hours is given by 1 day : 40 hours and 1 day : 16 hours respectively.
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Mayra's brother is driving back from college to visit. His college is 330 miles away. After an hour of
driving, he still has 275 miles to go. If the roads are clear, he'll be able to keep up that pace for the
whole drive. Write a linear function to model how much further he'll have to go over time.
He has 5hrs to drive and 275 miles to drive to cover to arrive at the university.
What is speed?Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).
here, we have,
His college is 330 miles away.
After an hour of driving, he still has 275 miles to go.
If the roads are clear, he'll be able to keep up that pace for the whole drive.
If he drives 55 miles in 1 hr
he would drive 330 miles in
=6hrs.
his total travel time is 6 hr
He has 5hrs to drive and 275 miles to drive.
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What do you guys think the formula of a circle is?
Answer:
πr2
Step-by-step explanation:
The formula of a circle/finding its area is pi(r)^2
Answer: The formula for the area of a circle is π r squared
CAN YALLL HELP ME (sorry bout the caps )
Let f(t) be the outside temperature (°F) t hours after 3 A.M. Explain the meaning of f(4) <ƒ(5).
The temperature at
than the temperature at
The temperature at 4 hours after 3 A.M. is lower than the temperature at 5 hours after 3 A.M.
What is the temperature?
Temperature is a physical property of matter that measures the degree of hotness or coldness of an object. It is a scalar quantity that is expressed in units such as Celsius, Fahrenheit, or Kelvin.
The statement "f(4) < f(5)" means that the outside temperature 4 hours after 3 A.M. is less than the temperature 5 hours after 3 A.M. In other words, the temperature is rising over time and the value of f(t) increases as t increases. So, the temperature at 4 hours after 3 A.M. is lower than the temperature at 5 hours after 3 A.M."f(4) < f(5)" means that the outside temperature 4 hours after 3 A.M. is less than the temperature 5 hours after 3 A.M. In other words, the temperature is rising over time and the value of f(t) increases as t increases. So, the temperature at 4 hours after 3 A.M. is lower than the temperature at 5 hours after 3 A.M.
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What’s the domain of the function y =2 (2)x +2
Answer: X E R
Step-by-step explanation: y=2 x 2x+2
calculate the product
y=4x+2
The domain of a linear function is the set of all real numbers
x E R
Suppose the original quantity is $30 and the new quantity is $39. Estimate the percent change. Is this an example of a percent increase or a percent decrease?
Answer:
Step-by-step explanation:original quantity = $30
New quantity = $39
increase amount = 39-30 = 9
Percent change:
30 x = 9
x = 9/30
x = 0.3
0.3x 100 = 30%
Since the quantity grows, it's a percent increase.
PLEASE HELP!!!
identify the lengths of KL and LW
Answers:
A- KL=2.4, LW=3.6
B- KL=6, LW=2.4
C- KL= 3.6, LW=2.4
D- KL=12, LW=18
Applying the angle bisector theorem, the lengths are:
A. KL = 2.4, LW = 3.6
What is the Angle Bisector Theorem?The Angle Bisector Theorem states that in a triangle, the ratio of the length of a side to the length of another side is equal to the ratio of the length of the angle bisector of one of the angles to the angle bisector of the corresponding angle.
In other words, if two angles of a triangle have angle bisectors of lengths x and y, then x/y = a/b where a and b are the lengths of the sides of the triangle corresponding to the bisected angles.
Based on the angle bisector theorem, we have:
(6 - x)/(x) = 4/6
Cross multiply:
4x = 6(6 - x)
4x = 36 - 6x
4x + 6x = 36
10x = 36
x = 36/10
x = 3.6
LW = x = 3.6
KL = 6 - x = 6 - 3.6 = 2.4
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The time required to complete a job varies inversely as the number of people working. It took 10 brick masons 300 hours to brick a new home. How long would it have taken 25 brick masons to complete the same job?
the 25 brick masons complete the same job in 120 hours.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
It took 10 brick masons 300 hours to brick a new home.
1 brick mason will take 300*10 =3000 hours
So 25 brick masons will take 3000/25 = 120 hours.
Hence the 25 brick masons complete the same job in 120 hours.
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A medium pizza at Big Time Pizza costs $6.80 plus $0.90 for each topping. The cost of a medium pizza at PizzaPizza is $7.30 plus $0.65 for each topping. How many toppings need to be added to a medium pizza from each restaurant in order for the pizzas to cost the same?
Step-by-step explanation:
At Big Time Pizza, you would need to add 5 toppings in order for the pizza to cost the same as a medium pizza from PizzaPizza, which would cost $9.50. At PizzaPizza, you would need to add 8 toppings in order for the pizza to cost the same as a medium pizza from Big Time Pizza, which would cost $9.50.