The width and area of the Rectangular tag is 10 centimeters and 40 centimeters square.
As per the question statement, The perimeter of a rectangular price tag is 28 centimeters. Its length is 4cm. We are supposed to find its width and area.
Let width be \(w\)
Perimeter = \(2(length*width)\)
\(28=2(4+w)\\w=14-4\\w=10cm\)
Hence width is 10 cm
Now area of rectangle = \(length*width\)
Area = \(4*10=40cm^{2}\)
Hence area is 40 centimeter square.
Therefore the width and area of the Rectangular tag is 10 centimeters and 40 centimeters square.
Perimeter: It is the sum of length of all sides of any figure or shape. Its significance is the length of the sides.Area: It is the space occupied by any figure or a shape.To learn more about area and perimeter, click on the link given below:
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Ammeters produced by a manufacturer are marketed under the specification that the standard deviation of gauge readings is no larger than 0.2 amp. One of these ammeters was used to make ten independent readings on a test circuit with constant current. The sample variance S 2 of these ten measurements is 0.0653 and it is reasonable to assume that the readings are normally distributed. Find the approximate probability that the sample variance will exceed 0.0653 if the true population variance is 0.04
Answer:
0.101
Step-by-step explanation:
Given that :
Standard deviation, s = 0.2
Sample variance, s² = 0.0653
Sample size, n = 10
Population variance = σ² = 0.04
We use the Chi square distribution :
(n - 1)s² / σ²
For P(s² ≥ 0.065)
(n - 1)s² / σ² = (10 - 1)*0.0653 / 0.04
(n - 1)s² / σ² = 0.585 / 0.04 = 14.625
P(s² ≥ 14.625) = 0.101 ( chi squee calculator).
1. A survey of 36 students was conducted to find out how many students enjoy playing volleyball, and 17 said they did. If 648 students were surveyed, how many would say they enjoy playing volleyball?
The total number of students calculated with the method called simplification and who are playing volleyball is 206.
How simplification method work?
In mathematics, the simplification method is used for the equation formation for the problem statements. And it also convert the complicated expression into simpler one to make the calculation easy.
According to the question, the given survey data for the playing volleyball is written below and it is solved by the simplification method:
survey of students: 36
play volleyball: 17
As per question, the simplification expression for the given statement which state that, if the survey of 648 students how many students play volleyball?
Therefore, the required simplified expression can be written as:
Required expression: 648÷36= 18
Now, playing volleyball =18×17=206 students play volleyball
Hence, the total number of students calculated with the method called simplification who are playing volleyball is 206.
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What is the estimated weight of three containers weighing 1.656 kg each?
the anwser is
Step-by-step explanation:
the anwser is 5 kg
(Pythagorean Theorem, Right Angle) for 100 POINTS!
(Will even give Branliest for this easy work)
Are these answers correct?
Step-by-step explanation:
there is nothing missing. this is a complete proof.
yes, the various steps are correct.
Remember that : means the less then sign I had to put because there is no less then sign
Prove your answer
Find the solution set for x write the inequality and represent it on a number line
2(x+3) : 14+2x4
Pasagot po please
Step-by-step explanation:
I guess it is:
2(x + 3) < 14 + 2×4The steps as follows:
2x + 6 < 14 + 82x + 6 < 222x < 16x < 8 or x ∈ (- ∞, 8)\(\underline{\sf Given :- }\)
" : " means less than sign - < 2( x + 3) : 14 + 2 × 4\(\underline{\sf To \ find :- }\)
The solution set of x .To represent on the number line .\(\underline{\sf Answer :- }\)
Taking the given inequality ,
2( x + 3 ) < 14 + 8 2x + 6 < 22 2x < 22 - 6 2x < 16x < 16/2 x < 8x € ( -∞ , 8 )For number line see attachment .
Solve the following system of equations. 4x + 3y = -5
- 3x + 7y=13
Answer: 13
Step-by-step explanation:
4x+3y=-5 solve x :
4x = -3y + -5 | -3y
1x = -0.75y + -1.25 | : 4
-3x + 7y = 13 solve x :
-3x + 7y = 13 | -7y
-3x = -7y = 13 | : (-3)
Equalization Method Solution: -0.75y+-1.25=2.333y+-4.333
-0, 75y - 1,25 = 2,333y - 4, 333 solve y:
-0, 75y - 1,25 = 2,333y -4, 333 | -2,333y
-3, 083y - 1,25 = -4,333 | + 1, 25
-3. 083y = -3,088 | : (-3, 083)
y = 1
Plug y = 1 into the equation 4x + 3y = -5 :
4x + 3 · 1 | Multiply 3 with 1
4x + 3 = -5 | -3
4x = -8 | : 4
x = -2
So the solution is:
y = 1, x = -2
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You want to buy a new lawn chair from Bed Bath & Beyond that costs $149.99. Luckily you have a coupon for 20% off. Write an expression that could be used to find the sale price of the lawn chair.
No links or I will report!
Answer:
The sale price of the lawn chair is $119.992
Step-by-step explanation:
149.99 times 0.2=29.998
Subtract
149.99-29.998=119.992
Hope I helped :)
PLS HELP ME UNDERSTAND THIS!!
Answer:
88.25
Step-by-step explanation:
A line passes through the points (2, -2) and (8, 1).
Click “show your work” and provide work for calculating the slope and y-intercept. Then, write the equation for the line in slope-intercept form. Please write your answers on the lines provided on the whiteboard.
Answer:
Slope: 1/2Y-intercept: -3Equation: y = 1/2x -3Step-by-step explanation:
You want the slope, y-intercept, and equation for a line that passes through the points (2, -2) and (8, 1).
SlopeThe slope formula is used to find the slope:
m = (y2 -y1)/(x2 -x1)
m = (1 -(-2))/(8 -2) = 3/6 = 1/2
Y-interceptThe slope-intercept equation can be rearranged to give the y-intercept:
b = y - mx
b = 1 -(1/2)(8) = 1 -4 = -3 . . . . . . using (x, y) = (8, 1)
Slope-Intercept FormThe slope-intercept form equation is ...
y = mx +b . . . . . . where m is the slope, and b is the y-intercept
Using the found values, the equation is ...
y = 1/2x -3
SummarySlope: 1/2Y-intercept: -3Equation: y = 1/2x -3if y is directly porportional to x^2 and the difference in the values of y when x=1 and x=3 is 32, find the value of y when x=-2
Answer:
Step-by-step explanation:
y=kx²
y₁=k(1)²=k
y₃=k(3)²=9k
y₁-y₃=k-9k=32
-8k=32
k=-4
y=-4x²
y₋₂=-4(-2)²=-16
Passengers arrive at the main entrance door of an airline terminal. There are two types of passengers. The first passenger type arrives according to an exponential interarrival distribution with mean of 2.5 minutes and has a check-in time (in minutes) following a gamma distribution with parameters B = 0.4 and a = 14. The second type of passenger arrives according to an exponential distribution with mean of 4 minutes and has a check-in time (in minutes) 1.2 times the first type of passenger. At the check-in counter, the two types of travelers wait in a single line until one of two agents (Bill and Mary) is available to serve them. Mary starts serving passengers only if Bill is busy serving other passengers and a passenger is waiting to start being served. The travel time from the check-in to the boarding gate is distributed uniformly between 5 and 15 minutes. Develop a single replication of length 1,000 minutes. What changes would you recommend to this system if the company wants to avoid check- in waiting time longer than 15 minutes for passengers?
To avoid check-in waiting times longer than 15 minutes for passengers, the airline terminal can implement the following changes:
Increase the number of check-in agents to handle a larger volume of passengers simultaneously.Ensure there is always at least one agent available to serve passengers by improving agent scheduling.Analyze passenger arrival patterns and adjust staffing at the check-in counter during peak times.Streamline the check-in process by simplifying procedures and utilizing technology like self-check-in kiosks.Provide real-time information to passengers about estimated waiting times and their position in the queue.Increase the number of boarding gates to prevent congestion and reduce waiting times before boarding.Tell whether the sequence is arithmetic. If it is what is the common difference? Explain.
{1, 5, 9, 13, …}
The sequence is arithmetic because the common difference is 4.
Answer:
the sequence is arithmetic. the cd is 4
Step-by-step explanation:
1 + 4 = 5
5 + 4 = 9
9 + 4 = 13
Find the missing side of the triangle. Round to the nearest tenth where necessary (one decimal place). WRITE ONLY THE NUMERICAL VALUE (10 yd = 10).
Answer:
35.6
Step-by-step explanation:
By the Pythagorean Theorem:
\( {x}^{2} + {91.3}^{2} = {98}^{2} \)
\(x = \sqrt{ {98}^{2} - {91.3}^{2} } = 35.6\)
One brand of orange juice is sold in four different sizes. The 8-ounce bottle costs $0.90. The 18-ounce bottle costs $1.50. The 48-ounce carton costs $2.50. The 64-ounce carton costs $3.75
Show work for each price per ounce. Which size is the cheapest?
Answer:
The 48-ounce carton is the cheapest
Step-by-step explanation:
The question gives us the prices of different sizes of bottles of orange juice. It then asks us to calculate the price per ounce for each size and to find which size is the cheapest.
In order to calculate the price per ounce for each size, we have to divide the price of each size by its size:
• 8-ounce bottle: \(\mathrm{\frac{\$ 0.90}{8 \ oz}}\) = $0.113 / oz
• 18-ounce bottle: \(\mathrm{\frac{\$ 1.50}{18 \ oz}}\) = $0.083 / oz
• 48-ounce bottle: \(\mathrm{\frac{\$ 2.50}{48 \ oz}}\) = $0.052 / oz
• 64-ounce bottle: \(\mathrm{\frac{\$ 3.75}{64 \ oz}}\) = $0.059/ oz
As we can see from the calculation above, the price per ounce of the 48-ounce carton is the lowest, at $0.052 / oz.
Find each percent decrease. Round to the nearest percent.
6. From 100 ounces to 25 ounces
Answer:
-75%
Step-by-step explanation:
((y2 - y1) / y1)*100 = your percentage change
(where y1=start value and y2=end value)
((25 - 100) / 100) * 100 = -75 %
Subtract 4 from 1/6 of 42 5th grade
Answer:
3
Step-by-step explanation:
subtract 4 from 1/6 of 42. In middle school my traxhers always told me that of menas multiply, and in this situation it still holds. 1/6 x 42 is 42/6 or 42 divided by 6 which is 7. So now that makes this simpler, its saying subtract 4 from 7, so 7-4 =3
The perimeter of a rectangle is 90. One side of the rectangle is twice the length of the other.
What is the length of the longer side?
Answer:
30
Step-by-step explanation:
p=2l+2w
p=2(2w)+2w
p=4w+2w
p=6w
p=90
90=6w
15=w
5 ten millions = to how many millions ?
What is the remainder when P(x) = x ¹²³ + x ⁵⁶ + 1 is divided by x-1.
In order to calculate the remainder of this division, we can use the remainder theorem.
This theorem states that when dividing p(x) by q(x), and q(x) has a zero x = k, the remainder of the division is given by r = p(k).
Since the division is by the polynomial x - 1 and its zero is x = 1, let's calculate the value of p(1), which will be the remainder of the division:
\(\begin{gathered} p(1)=1^{123}+1^{56}+1 \\ p(1)=1+1+1 \\ p(1)=3 \end{gathered}\)Therefore the remainder of the division is 3.
10x100 in exponential form
Answer:
10³
Step-by-step explanation:
10 x 100 = 10¹ x 10² = 10³
Answer: 10³
Step-by-step explanation: 10³
Need help ASAP !!!The measures of the angles of a triangle are shown in figure below.Solve for x.
Answer:
x=11
Step-by-step explanation:
your equation would be
4x+7+39+90=180
136+4x=180
4x=44
mr peters drives 266 miles in 3.5 hours what is the rate mr peters travels
Answer:
The answer is 76
Step-by-step explanation:
I just divided 266 by 3.5 - *I used a calculator*
write bicontional statement
The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.
What is the biconditional statement.The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.
This definition is commonly utilized to describe the characteristics of a rectangle when it comes to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.
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Write this definition as a biconditional statement.
A rectangle is a parallelogram with four right angles.
Which equation is represented by the table?
Which equation is represented by the table?
Answer:
The choose A.
y= – | x+1|–4
I hope I helped you^_^
Bob wants to buy a TV that costs $100. He plans to save $5 per week. How many weeks w will it take Bob to save $100?
Answer:
he will have to save 5 dollars for 20 weeks
Step-by-step explanation:
5 x 20 = 100
If a ring costs a jeweler $2100, at what price should it be sold to yield a profit of 50% on the selling price?
1.2 Generate a three-column table where you evaluate how learning takes place according to: • Piaget • Vygotsky • Bruner (15)
While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.
Here's a three-column table evaluating how learning takes place according to Piaget, Vygotsky, and Bruner:
Theorist Approach to Learning Key Concepts
Piaget Constructivism 1. Schema: Individuals actively construct their knowledge through assimilation and accommodation, organizing information into mental structures called schemas. 2. Stages of Development: Learning occurs through cognitive development stages, from sensorimotor to formal operational, where individuals progressively acquire more complex mental abilities. 3. Active Exploration: Children learn best through hands-on exploration and interactions with the physical world.
Vygotsky Sociocultural Theory 1. Zone of Proximal Development (ZPD): Learning takes place within the gap between a learner's actual developmental level and their potential level with guidance from a more knowledgeable other. 2. Social Interaction: Learning is facilitated through social interactions with peers and adults, such as cooperative learning and scaffolding. 3. Cultural Tools: The use of language, symbols, and cultural artifacts plays a central role in cognitive development and learning.
Bruner Constructivism 1. Scaffolding: Instruction should provide support and guidance tailored to the learner's current abilities to help them progress to higher levels of understanding. 2. Discovery Learning: Learners construct knowledge by actively exploring and discovering concepts and relationships on their own. 3. Spiral Curriculum: Learning is organized in a spiral manner, revisiting key concepts and building upon previous knowledge in a progressive and interconnected way.
While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.
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The radius of a circle is 1 foot. What is the length of a 90° arc?
90°
r=1ft
Give the exact answer in simplest form.
According to the given data the length of a \(90^{0}\) arc is \(\pi /2\) or approximately \(1.57\) feet.
What is meant by length of arc?In geometry, the length of an arc is the distance along the curved line that makes up the arc. It is a measure of the "length" of a portion of a circle's circumference, and it is usually expressed in the same units as the circle's radius.
According to the given information:
The length of a \(90^{0}\) arc in a circle with radius \(1\) foot can be calculated using the formula:
Length of arc = (angle/\(360\)) x \(2\pi r\)
where angle is the central angle of the arc in degrees, r is the radius of the circle, and \(\pi\) is a mathematical constant approximately equal to \(3.14159\).
Substituting the given values, we have:
Length of arc = (\(90/360\)) x \(2\pi(1 ft)\)
Length of arc = \((1/4)\) x \(2\pi ft\)
Length of arc = \(\pi /2 ft\)
Therefore, the length of the \(90^{0}\) arc is \(\pi /2 feet\) or approximately \(1.57 feet\)
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the length of the 90° arc is π/4 feet or approximately 0.785 feet
What is arc of circle?
In geometry, an arc of a circle is a portion of the circle's circumference. It is defined by two endpoints and all points along the circle between those endpoints. The measure of an arc is typically given in degrees or radians and can be used to calculate various properties of the circle, such as its length, area, and sector angles.
The formula for the length of an arc is:
L = (θ/360) × 2πr
where L is the length of the arc, θ is the central angle of the arc in degrees, and r is the radius of the circle.
In this case, θ = 90° and r = 1 ft, so we have:
L = (90/360) × 2π(1) = (1/4) × π = π/4
Therefore, the length of the 90° arc is π/4 feet or approximately 0.785 feet (rounded to 3 decimal places).
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The mean of a data set is 3 and the MAD is 0. What does that tell us?
a
The values in the data set are all very similar and close together.
b
The values in the data set are very different and spread out.
c
There is only one number in the data set.
The correct answer is c) There is only one number in the data set. the fact that the mean of the data set is 3 and the MAD is 0 tells us that there is only one number in the data set, and that number is 3.
What is mean?
In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.
The mean is a measure of central tendency that gives an idea of the typical value in a data set. It is calculated by adding up all the values in the data set and then dividing by the number of values.
If the mean of a data set is 3, it means that the sum of all the values in the data set divided by the number of values is equal to 3. So, if we denote the data set as {x1, x2, x3, ..., xn}, we have:
(x1 + x2 + x3 + ... + xn) / n = 3
If the MAD of a data set is 0, it means that the absolute differences between each value and the mean are all 0, which is only possible when all the values in the data set are the same. In other words, if we denote the data set as {x1, x2, x3, ..., xn}, we have:
| x1 - 3 | + | x2 - 3 | + | x3 - 3 | + ... + | xn - 3 | / n = 0
This can only be true if all the values in the data set are equal to 3, so the data set is {3}.
Therefore, the fact that the mean of the data set is 3 and the MAD is 0 tells us that there is only one number in the data set, and that number is 3.
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I need 23 questions answered
The surface area of a rectangular prism is 48 5/6 mi².
How to calculate the surface area of a rectangular prism?In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:
Surface area of a rectangular prism = 2(LH + LW + WH)
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.By substituting the given side lengths into the formula for the surface area of a rectangular prism, we have the following;
Surface area of rectangular prism = 2[6 × 2 1/3 + (1 1/4 × 6) + (1 1/4 × 2 1 /3)]
Surface area of rectangular prism = 2[14 + 15/2 + 35/12]
Surface area of rectangular prism = 48 5/6 mi².
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