The percentage error of Charlie is given by the equation A = 13 %
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the percentage error of the gobstopper be A
Now , the initial price of the gobstopper = $ 13.50
The final price of the gobstopper = $ 15.25
Now , the equation will be
The percentage error A = ( final price - initial price / initial price ) x 100
The percentage error A = [ ( 15.25 - 13.50 ) / 13.50 ] x 100
The percentage error A = ( 1.75 / 13.50 ) x 100
The percentage error A = 0.1296 x 100
The percentage error A = 12.96 %
The percentage error A = 13 %
Hence , the percentage error is 13 %
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The sum of 4 44 consecutive integers is 198 198198. What is the fourth number in this sequence?.
With the sequence having sum of four consecutive integers as 198 , the fourth integer in the sequence is calculated to be 51.
Let's call the first integer in the sequence "x". Since the integers are consecutive, the next three integers in the sequence would be "x + 1", "x + 2", and "x + 3". The sum of these four integers can be represented as:
x + (x + 1) + (x + 2) + (x + 3) = 198
Expanding and simplifying the left side of the equation, we get:
4x + 6 = 198
Subtracting 6 from both sides of the equation, we get:
4x = 192
Dividing both sides of the equation by 4, we get:
x = 48
So the first integer in the sequence is 48. To find the fourth integer in the sequence, we add 3 to the first integer:
x + 3 = 48 + 3 = 51
So the fourth integer in the sequence is 51.
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Quadrilateral QRST is shown, with side lengths in inches (in.) and angle measurements in degrees.
2 in.
R
135°
3 in.
√18 in.
45°
S
5 in.
Lynn draws quadrilateral WXYZ, which is similar to quadrilateral QRST, with WX = 5 in
Enter values in the blank boxes to make the statement true.
The length of WZ is
2
degrees.
inches and the measure of angle Y is
The value of length WZ is 7.5 in and angle Y is 45°
What are similar shapes?Similar shapes are enlargements of each other using a scale factor. All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio. E.g. These two rectangles are similar shapes.
therefore;
WZ /QT =WX/QR
represent WZ by x
x/3 = 5/2
2x = 15
x = 15/2
x = 7.5
therefore the value of WZ = 7.5 in
Since the two quadrilaterals are similar angle Y is 45°
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Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the most accurate rate of speed Morris is traveling?
1 mile = 5,280 feet
45 miles per hour
46 miles per hour
47 miles per hour
48 miles per hour
Answer:
Step-by-step explanation:
The best estimate of the speed Morris is traveling will be 48 miles per hour.
What is conversion?
Conversion means to convert the same thing into different units.
Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha.
We know that 1 mile = 5,280 feet.
Then convert the feet per second to miles per hour. Then the speed of the Morries will be
⇒ 3 feet / 1 second
⇒ (3 / 5285) miles / (1 / 3600) hour
⇒ (3 / 5285) x (3600)
⇒ 2 miles per hour
Then the best estimate of the speed Morris is traveling will be
⇒ 50 - 2
⇒ 48 miles per hour
The best estimate of the speed Morris is traveling will be 48 miles per hour.
what is the value of x? enter your answer in the box.______ units
The value of x is 8 units by using Pythagorean theorem.
If x and 6 are the lengths of the legs of a right triangle and the length of the hypotenuse is 10, then we can use the Pythagorean theorem to find the value of x.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
So in this case:
x^2 + 6^2 = 10^2
Expanding the squares and solving for x:
x² + 36 = 100
x² = 100 - 36
x² = 64
x = [tex]\sqrt{64}[/tex]
x = 8
So the value of one leg of x is 8 units and other which is given is 6 units.
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____ The given question is incomplete, the correct question is given below:
What is the value of x?
Enter your answer in the box.
x=
A right triangle. The legs are labelled x and six, and the hypotenuse is labelled ten.
After the reflection of about X-axis,if the image of a point P is P’(-x,-y), in which quadrant does P lie and what is its coordinates?
The original coordinates are P(-x, y), and it is on the second quadrant.
In which quadrant does P lie and what is its coordinates?Remember that for a general point (a, b), a reflection about the x-axis changes the sign of the y-component, so we will get the image (a, -b)
Here we know that the image after the refection is P' = (-x, -y), then the coordinates of point P are (-x, y)
If we assume both x and y to be positive, then point P would be on the second quadrant.
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PLEASE ANSWER
!!!!!!!!
The measure of angle X is given as follows:
40º.
How to obtain the value of x?We have two secants in this problem, and point C is the intersection of the two secants, hence the angle measure of x is half the difference between the angle measure of the largest arc by the angle measure of the smallest arc.
The arc angles are given as follows:
125º and 45º.
Hence the value of x is given as follows:
X = 0.5 x (125 - 45)
x = 40º.
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Write an equation for the table.
Pls help!
Answer:
y = -3x + 10
where y = Value and x = Position
or
Value = - 3(Position) + 10
Step-by-step explanation:
We can determine a linear equation for this table in slope-intercept form
The slope intercept form of a linear equation is
y = mx + b
y is referred to as the dependent variable and x the independent variable
Here m is the slope which is the rate of change of y with respect to x
b = y-intercept which is the value of y when x = 0
For the given table it appears that the value is dependent on the position
So the independent variable, let's call it x, is position
The dependent variable, y, is value
Plugging values of x, y into the generalized equation
y = mx + b
At x(position) = 1, we get y = 7
==> 7 = m(1) + b
==> 7 = m + b
== m + b = 7 ............................. (1)
At x = 3, y = 1
==> 1 = m(3) + b
==> 1 = 3m + b
==> 3m + b = 1 ..............................(2)
If we subtract equation 1 from equation (2) we get
(3m + b) - (m + b) = 1 - 7
3m - m + b - b = -6
2m + 0 = -6
2m = -6
m = -6/2 = -3
So we now know m = -3 we can write the equation as
y = -3m + b
To find b, plug in any value of x and corresponding y from the table and solve for b. remember that x is position and y is value
Let's choose the last entry x = 9, y = -17
Plugging these into y = -3x + b gives
-17 = -3(9) + b
-17 = -27 + b
Switch sides:
- 27 + b = -17
Add 27 to both sides:
- 27 + 27 + b = -17 + 27
b = 10
So the equation for the table is
y = - 3x + 10
or in terms of the table
Value = - 3(Position) + 10
You can check this is correct by choosing a value for position from the table and seeing the equation value is consistent with the given value
Keith needs to buy some pencils. Brand A has a pack of 24 pencils for $8.77. Brand B has a pack of 26 pencils for $9.84.
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.
Unit price for the Brand A pencils:
Unit price for the Brand B pencils:
The better buy:
O Brand A
O Brand B
for each pencil
$for each pencil
Neither (They have the same unit price)
The brand that is the better buy based on their unit price is; Brand A
How to find the Unit Price?A unit price is defined as the price for one item or measurement, such as a pound, a kilogram, or a pint, which can be used to compare the same type of goods sold in varying weights and amounts.
It is also referred to as a product's average price which is the result of dividing the product's total sales revenue by the total units sold.
Thus;
Unit price of Brand A = 8.77/24 =$0.365 per pencil
Unit price of Brand B = 9.84/26 = $0.378 per pencil
The cheaper one is the better buy which is Brand A.
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Julie wants to make an open-top box by cutting out corners of a square piece of cardBoard and folding up the sides. The cardboard is 10 centimeters by 17 centimeters. The volume V(x) in cubic centimeters of the open-top box is a function of the side length x in centimeters of the square cut outs
V(x) = (10 - 2x)(17 - 2x)(x)
The volume of the box when x = 3 is 132 cubic centimeters.Find the volumeTo find the volume of an open-top box, we need to find the product of its length, width, and height. In this case, the length and width of the box will be the original dimensions of the cardboard minus twice the side length of the square cutouts, and the height will be the side length of the square cutouts.
a) The expression for V(x) can be written as:
V(x) = (10 - 2x)(17 - 2x)(x)
b) To find the volume of the box when x = 3, we simply need to plug in the value of x into the expression for V(x) and simplify:
V(3) = (10 - 2(3))(17 - 2(3))(3)
V(3) = (10 - 6)(17 - 6)(3)
V(3) = (4)(11)(3)
V(3) = 132
Therefore, the volume of the box when x = 3 is 132 cubic centimeters.
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compute the number of ways you can select 3 elements from 7 elements.
a. 343
b. 10
c. 21
d. 35
The number of possible ways in which we can select 3 elements from 7 elements are given in option d. 35.
There are a total of 7 elements and we can to select 3 elements out of them.
We have to apply the permutation and combination here in order to find the answer,
The formula is ⁿCₐ
Where, C represents combination,
n is the total number of combination,
a is the number of selections that we have to do,
ⁿCₐ = n!/(n-a)!a!
Now, putting n = 7 and a = 3,
ⁿCₐ = 7!/(4)!3!
ⁿCₐ = 35
So, the total number of ways possible are 35.
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how to properly measure the volume of water in a calibrated glass device, such as a graduated cylinder ?
To properly measure the volume of water in a calibrated glass device such as a graduated cylinder, follow these steps:
Place the graduated cylinder on a flat, level surface.Record the volume to the nearest graduation mark, taking care to estimate any volume that falls between two graduation marks.Repeat the measurement several times to ensure accuracy and consistency.If the water is not clear, you may need to compensate for the effects of the air bubbles that are trapped in the water by gently tapping the cylinder. This will release the bubbles and help to give a more accurate reading.Read the scale of the cylinder from the bottom of the meniscus, which is the curved surface of the liquid. The meniscus should be read at eye level to eliminate parallax error.If necessary, adjust the cylinder so that the scale is straight and the meniscus is centred over the scale.Always rinse the graduated cylinder with distilled water before and after each use to prevent contamination and ensure accuracy.To know more about graduated cylinder:
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Create a large coordinate graph on graph paper
and graph the triangle at right. Multiply the
y-coordinate of each point by 4. Then graph the
new shape. Make sure you connect your points.
List the points for the new shape. Are the two
figures similar? Why or why not?
The two figures (i.e. triangles) are similar triangles
How to determine if the triangles are trianglesLet's create a triangle with the following coordinates:
A = (0, 0)
B = (3, 0)
C = (0, 4)
To get the new coordinates, we need to multiply the y-coordinate of each point by 4:
A' = (0, 0 * 4)
B' = (3, 0 * 4)
C' = (0, 4 * 4)
So the new points are:
A' = (0, 0)
B' = (3, 0)
C' = (0, 16)
To determine if the two figures are similar, we need to check if they have the same shape but different sizes.
Specifically, the new triangle is four times larger in the vertical direction but has the same shape and angles as the original triangle.
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Each month, a phone company charges $35 for 600 minutes of talk time
plus $0.35 for each additional minute. Unlimited texting costs $20 more.
Write an expression to show the cost of a talk-and-texting plan for one
month, given x minutes over 600.
The requried expression that describes the cost of a talk-and-texting plan for one month, given x minutes over 600 is 35 + 0.35(x) + 20.
What are equation models?The expression model is described as the model of the given situation in the form of an equation using variables and constants.
here,
The cost of a talk-and-texting plan for one month can be expressed as:
= 35 + 0.35(x) + 20
where x is the number of minutes over the 600 minutes included in the plan. The first two terms represent the cost of talk time, while the last term represents the cost of unlimited texting.
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Select the graph of y = csc x.
Graph of y = cosec x is attached below.
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
Given function,
y = cosecx
when x = (π/2)
y = cosec (π/2)
y = 1
when x = π
y = cosec π
y = ∞
when x = 3π/2
y = cosec 3π/2
y = -1
By the calculation, graph of y = cosecx is drawn as follows.
Hence, graph of y = cosecx is attached below.
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Find the missing angle measurement.
?
OA) 3 degrees
OB) 13 degrees
OC) 23 degrees
OD) 90 degrees
67°
Answer:
23 degrees
Step-by-step explanation:
Sum of interior angles in a triangle = 180°
∴Sum of interior angles in the right- angled triangle in the question:
67° + 90° + ? = 180°
= ? = 180° - 90° - 67°
∴ ? = Missing angle measurement = 23°
= 23 degrees
When Xochitl runs the 400 meter dash, her finishing times are normally
distributed with a mean of 84 seconds and a standard deviation of 2.5
seconds. Using the empirical rule, determine the interval of times that
represents the middle 68% of her finishing times in the 400 meter race.
Answer: The empirical rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
In this case, the mean of Xochitl's finishing times is 84 seconds and the standard deviation is 2.5 seconds, so the interval that represents the middle 68% of her finishing times is:
[84 - 2.5, 84 + 2.5] = [81.5, 86.5]
So, we can conclude that the middle 68% of Xochitl's finishing times in the 400 meter race fall between 81.5 and 86.5 seconds.
Step-by-step explanation:
what are the domain and range of the following quadratic
Answer:
ranalllldooo
Step-by-step explanation:
suiiiiiii
Solve the L.P.P graphically- Maximize z=y-2x subject to x-y >=2 ,x + y<=4 , x>=0 ,y>=0
Answer: 8y=2h
Step-by-step explanation: you have to subtract the first 2 numbers then add the others and then add letters and boom
y=4x a proportionail relationship
Answer:
If you are asking if y = 4x is proportional, the answer is yes. It is linear and it goes through the origin.
Step-by-step explanation:
Given f(x)=-x+2,find f(4)
Answer:
To find f(4), we simply need to substitute 4 for x in the equation for f(x):
f(x) = -x + 2
f(4) = -(4) + 2
f(4) = -2
Therefore, f(4) = -2.
Step-by-step explanation:
Alberto started out bench pressing 60 pounds. He then added 5 pounds every week. Determine whether the situation is linear or nonlinear, and proportional or nonproportional
Answer
linear
nonproportional
Step-by-step explanation:
Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.
At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.
Answer:
linear
nonproportional
Write the linear equation for the graph below.
pls help i’m failing mathhh:(
Answer: y = 6x
Step-by-step explanation:
Answer:
y = 6x
In real-world terms
x = number of sandwiches
y = total cost of x sandwiches in dollar amounts
Step-by-step explanation:
The first piece of advice I have for you is to have confidence in yourself that you will succeed. That is what learners and tutors here at brainly are for. To help out.
Now to explanation of the problem and solution
The linear equation of a graph can be written in a couple of ways. On ios the standard form which is of the form
Ax + By = C where A, B and C are constants
The other is in slope-intercept form which is written as
y = mx + b
Here m is the slope which is also referred to as rise/run. I will explain these terms as we solve the problem
b is the y-intercept. This is the y-value at which the line crosses the y-axis. It corresponds to the value of y when x = 0
Sometimes the graph will not show the complete line so we cannot determine where the line crosses the y-axis. In this case this determination is a cinch
Looking at the graph, we see the line crosses the y-axis at (0,0) which is the origin
Therefore the y-intercept is 0 and hence b=0
Hence we get the line equation as
y = mx + b
==> y = mx + 0
==> y = mx
Let's find m, the slope:
Take any two points on the line. Here two points have been identified as (1, 6) and (4, 24)
The difference in y-values for these two points is 24 - 6 = 18.
This difference in y-values is known as the rise since it is measured vertically
The corresponding difference in x values is 4 - 1 = 3
This is referred to as run because it is measured horizontally
The slope m = rise/run
Here m = 18/3 = 6
Therefore plugging in m = 6 the equation in slope-intercept form is
y = 6x
Slope has another meaning. It signifies the rate of change
In this particular case in real-world terms it means that the cost of sandwiches is proportional to the number of sandwiches
Every sandwich you purchase will cost you $6 more
So the cost per sandwich is $6
For 1 sandwich -→ $6,
For 2 sandwiches → $12
For 7 sandwiches → $42
and all this is clearly evident in the graph
Hope that helps you and good luck on all your subjects
Bella works at a popular clothing store. Last winter, her manager asked her to track the
store's sweater sales. This box plot shows the results.
Price of sweaters sold ($)
30
40
50
60
What fraction of the sweaters cost $50 or less?
80
Answer:
Answer is 1/2. Box plot is split into quarters. So 1/4 + 1/4 = 1/2
composite figure is shown. Which of the following represents the total area of the figure?
The total area of the composite figure can be found to be 24. 52 cm ²
How to find the total area ?First, find the area of the first triangle :
= 1 / 2 x base x height
= 1 / 2 x 3 x 2. 7
= 4. 05 cm ²
The area of the second triangle :
= 1 / 2 x 3 . 4 x ( 6. 8 - 2 . 7 )
= 6. 97 cm ²
Then the area of the rectangle :
= 5 x 2. 7
= 13. 5 cm ²
The total area of the composite shape is :
= 13.5 + 6.97 + 4. 05
= 24. 52 cm ²
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Help me please!! T^T
The length of line FG is 16 units
How to find length of FGThe length of FG is equal to length GH that is to say
line FG = line GH
From the problem, we have that
FG = x + 11
GH = 3x + 1
Equation both lines
x + 11 = 3x + 1
collecting like terms
11 - 1 = 3x - 1
10 = 2x
rearranging and isolating x
2x = 10
x = 5
The line FG = x + 11 = 5 + 11 = 16 units
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Eight hundred tickets are sold for a play. Thirty-five percent of those tickets were sold in advance. Which equation
can
be used to find the number of tickets sold in advance?
800+8
100
• 35+8 4.375
100+8 12.5
800+8 100
35x8
280
800 x8 6400
35x8 280
O 100x8 800
The equation which represents the number of tickets sold in advance is 0.35 × 800
Which equation can be used to find the number of tickets sold in advance?Total tickets sold for a play = 800
Percentage of tickets sold in advance= 35%
Number of tickets sold in advance= Percentage of tickets sold in advance × Total tickets sold for a play
= 35% × 800
= 0.35 × 800
= 280 tickets
In conclusion, 280 tickets were sold in advance.
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Please help I can’t do this
The four consecutive numbers which adds to give 130, are 31, 32, 33, 34
What are consecutive numbers?Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.
Given that, there are four consecutive numbers which adds to give 130,
According to the definition of consecutive numbers, we add 1 to each previous integer to get the successive integer,
Therefore, let us consider x, x+1, x+2, x+3 be the four consecutive numbers,
Therefore,
x+x+1+x+2+x+3 = 130
4x + 6 = 130
4x = 124
x = 31
Therefore, the required consecutive integers are, 31, 32, 33, 34
Hence, the four consecutive numbers which adds to give 130, are 31, 32, 33, 34
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a frequency distribution usually has equal bin widths. T/F
A frequency distribution usually has equal bin widths is the true statement.
All the line charts are not used for the purpose of cross-sectional data. A scatter plot is very useful in this process of visualizing trends over time. A scatter plot essentially requires two quantitative variables (i.e., not categorical data).
The difference of the maximum and minimum values is divided by the number of bins.
1. Identify the maximum and minimum values of the quantitative data.
2. Subtract the minimum value from the maximum value to get the difference
3. Divide the difference by the number of bins to get the approximate width of each bin
The width of the bins in a frequency distribution of quantitative data can be estimated by dividing the difference between the maximum and minimum values of the data by the desired number of bins. This will provide an approximate size for each bin, that can then be used to construct the frequency distribution.
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I’m stuck on this, can smb help me
The only coordinate solution in the table is (8, -9), the other coordinates are not a solution.
Finding the solution to a linear equation.A linear equation is an equation that has a leading degree of 1. Given the linear equation below:
4x + 5y = -13.
We are to determine the coordinates that form a solution.
For (8, -9)
4(8) + 5(-9) = 32 - 45
4(8) + 5(-9) = 13
Hence the coordinate (8, -9) is a solution
The other given coordinates are not a solution since the result on substituting their coordinate will not result in. -13
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Hi , please help and explain fully ! ( I don't understand how to work this one out)