By comparing the population range to the mean of the sample ranges, the answer will be D) The population range equal the youngest official at the time of death and the mean of the sample ranges is equal to the oldest official at the time of death.
Creating a tonne of random numbers between 40 and 70 points so that we can see that the population range is equal to 70. That is presumably the oldest value that is still valid. The population range is the sum of the data generated at the highest level and the lowest level. The population range is now 30 points. by taking a handful of random samples.
We want a sample table containing random samples of the data so we don't have to worry about this. Going through the samples with the new table that will be generated here and want to find this range by taking the max of each sample. Subtracting the mean from each sample from the range samples from 1 to 10. The range for the initial data was 30 points because the entire range was 40 to 70 points; nevertheless, we can observe that this range varies from 64 to 70 points.
We made the table because we wanted the mean of the average of our separate ranges to be 21.7. The mean value of the ranges in 100 samples will be discovered if the sample size is increased. A sample's range is not representative of the population. We can infer that we do it since the samples' range and average range are greatly dissimilar.
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nterstellar space, far from any stars, is filled with a very low density of hydrogen atoms (H, not ). The number density is about and the temperature is about 3 K. What is the edge length L of an LxLxL cube of gas with 1.0 J of thermal energy? I found: P = 4.14x10-17Pa Vrms = 273m/s
Our velocity is said to be 10% of the speed of light. Therefore, we need to multiply by 10% the speed of light. As a result, our speed is three times 10 to 7 m/s. Our diameter is 500 metres.
Thus, our radius is 250 metres. It goes through a volume of space equal to pi r squared times V times T in one second. We then multiply 5.8, 8 times 10 to the 12 m3 by pi times 2, 50 squared times three times 10, and seven times one second. Our density is 10 to 6 atoms per cubic metre, or one atom per cubic centimetre.
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A target employee earns $15 an hour for the first 35 hours worked in a week and $22.50 for any hours over 35. One week's paycheck (before deductions) was for $705. How many hours did the employee work?
Answer:
employee worked 8 hours over 35 hours, for a total of 35 + 8 = 43 hours.
Step-by-step explanation:
(35 hours x $15/hour) + (x hours x $22.50/hour) = $705 (where x is the number of hours worked over 35 hours)
You can then solve for x:
35x15 + x*22.50 = 705
525 + 22.5x = 705
22.5x = 180
x = 8
So the employee worked 8 hours over 35 hours, for a total of 35 + 8 = 43 hours.
Before the 1936 US president election, a popular poll predicted that Alfred Landon would
The correct option is a. Bias from undercoverage, is best description of the term bias.
Define the term bias from undercoverage?When you remove a portion of the population from your sample, undercoverage bias develops.
Sample isn't any longer indicative of the intended population as a result. This kind of study bias can affect non-probability sampling designs.Undercoverage bias as well as nonresponse bias may appear to be identical, but they differ greatly.
Undercoverage bias happens when certain demographic members are completely left out of the questionnaire survey you utilise for your investigation.When some of the respondents you chose to be included in your sample don't answer, nonresponse bias develops.For the stated question-
Roosevelt received support from lower-income voters and ultimately won with 62% of the vote, one of the biggest margins of victory in US presidential election history.
Thus, this clearly shows the bias from undercoverage.
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The complete question is-
Before the 1936 US presidential election, a popular poll predicted that Alfred Landon would comfortably win against Franklin D. Roosevelt. The poll randomly sampled people from sources like telephone and car registration records, but the country was in an economic crisis, so many voters without those luxuries were not included in the poll. Voters with lower incomes favored Roosevelt, who ultimately won with 62%, percent of the vote—one of the largest margins of victory ever in a US presidential election. Which type of bias does this scenario best describe?
a. Bias from undercoverage
b. Bias from using voluntary response
c. Response bias
d. Nonresponse bias
How many ways can we pay $1.10 with nickel and dime
Answer: We want to know how many ways we can pay $1.10 with nickels and dimes. Since nickels are worth $0.05 and dimes are worth $0.10, we can use different combinations of these coins to make $1.10.
One way to approach this problem is to use the method of generating functions.
Let x be the number of nickels and y be the number of dimes. Then the generating function for this problem is (x+y) = (x+y)(x^0y^0 + x^1y^0 + x^0y^1 + x^2y^0 + x^1y^1 + x^0y^2...)
We know that the sum of x and y should be 11 because 0.05x + 0.1y = 1.10
The coefficient of x^5y^6 in the expansion of (x+y)^11 gives the number of ways to pay $1.10 with 5 nickels and 6 dimes.
The coefficient of x^5y^6 = 252
So there are 252 ways to pay $1.10 with nickel and dime.
Step-by-step explanation:
The topic is "Polynomial Synthetic Division". I have no idea how to do it, I need help please :(
Answer:
[tex]x^2+7x-9+\dfrac{12}{x-7}[/tex]
Step-by-step explanation:
The detailed explanation is in the attached image. It is a real pain to type this in the brainly equation editor so I just used LateX and printed out the result in case you are interested.
I may have made typos in the detailed explanation, if so, let me know
1. The height of a right triangular prism is 1 5/6 inches. Each side of the triangular base measures 10 inches, and the height of the base is 8 2/3 inches. The triangular prism is placed atop a cube whose side measures 10 inches so that one of the triangular prism’s bases lies completely on one side of the cube.
What is the surface area of the solid formed?
100 POINTS AND IF YOU INCLUDE ACCURATE DIAGRAM, BRAINLIEST!!!!!!!
If the height of a right triangular prism is 1 5/6 inches and each side of the triangular base measures 10 inches. The surface area of the solid formed is: 598.33 in².
How to find the Surface area?First step is to convert fraction into simple fraction
Right triangular prism=1 5/6 inches= 11/6 inches
Height of the base=8 2/3 inches = 26/3 inches
Second step is to find the surface area
Surface area = 5(10× 10) + (0.5÷ 10 × 26/3) + 3(10× 11/6)
Surface area = 5(100) +43.33+ 3(18.33)
Surface area = 500+43.33 + 55
Surface area = 598.33 in²
Therefore the surface area of the solid formed is about 598.33 in²
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(Multi-Step Linear Equations MC)
Determine the value of x in the equation.
three fourths times the quantity x plus 6 end quantity minus one fourth times x equals two fourths times the quantity x plus 9 end quantity
A: x = 1
B: x = 2
C: No solution
D: Infinite solutions
Answer: To solve this equation, we need to get x on one side of the equation and all the other terms on the other side.
We can start by combining like terms:
three fourths times the quantity x plus 6 end quantity minus one fourth times x equals two fourths times the quantity x plus 9 end quantity
3/4 * x + 3/4 * 6 - 1/4 * x = 2/4 * x + 2/4 * 9
3/4 * x - 1/4 * x + 3/2 = 2/4 * x + 9/2
1/2 * x + 3/2 = x + 9/4
then we can move x to the left side of the equation:
x = x + 9/4 - 3/2
x = 9/4
So the value of x is 9/4.
The answer is A: x = 1.
This is a unique solution, it means that there is only one value of x that satisfies the equation.
Step-by-step explanation:
-8r-3(-6-5r)=8-5(4-2r)
Answer:
the answer I got was 18 over 1657
Step-by-step explanation:
its a fraction so the numerator is 18 and the denominator is 1657
suppose Jana collected another 25/100 of their goal. What fraction of the goal have they now collected?
Answer:
1/4.
Step-by-step explanation:
1/4 is the answer because 25 x 4 = 100. Lets say you had 50/100. That would be equivalent to 2/4 , because 50 x 2 = 100.
25 is often reffered to as a quarter, but if someone says it is lets say a quarter past 5:00, they are trying to say is is 5:15, because 15 x 4 = 60, and 60 minutes is an hour.
In a bag of marbles, 12% were red, 16% were blue, and the rest are white. If the bag has 250 marbles how many were red or blue
Answer: 70
Step-by-step explanation: First, let's find how many are worth each in numbers. Use this formula:
Part Percent * Whole number / 100
Plug in the numbers:
Red = 12 * 250 / 100
3000/100
= 30 red marbles
Blue = 16* 250 / 100
4000 / 100
= 40 blue marbles
40 + 30 = 70
White = 250 - 70
= 180 white marbles
We can check our answer by adding 12 + 16. That's 28. So by multiplying 250 by 28, we get 7000. 7000 divided by 100 = 70
70 = 70
Therefore, both statements are true
I hope this helped!
Which statement describes the solution of the equation rounded to the nearest tenth?
A) The solution is greater than 10.5 and less than 11.
B) The solution is less than 1.5 and greater than 1.
C) The solution is less than -10 and greater than -10.7.
D) The solution is greater than -1.5 and less than -1.
PLEASE ANSWER ONLY IF YOU KNOW!! I need help w this!!
The solution is greater than -1.5 and less than -1.
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
convert mixed fractions into improper fractions, then to decimal
14 2/5 = 72/5 = 14.4
11 1/8 = 89/8 = 11.125
Thus, the equation becomes:
14.4x+6.55= -11.125x-2.45 + 17 x
=> 14.4x + 11.125x - 17x = -6.55 -2.45
=> 8.525x = -9
=> x = -9 / 8.525 = -1.055
solution of the equation rounded to the nearest tenth = -1.1
Thus, The solution is greater than -1.5 and less than -1.
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Hi i would like some help with this asap
The constant of variation for the given graph is 1/4.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Given that the equation of the line in the graph is a direct variation equation.
Direct variation equations are of the form,
y = k x, where k is a constant number called constant of variation.
We have to find the value of k.
y = k x is an equation in slope intercept form where k is the slope and the value of y intercept is 0, since the line passes through origin (0, 0).
It is enough to find the slope of the given line.
Take two points from the graph, let it be (4, 1) and (-4, -1).
Slope = (-1 - 1) / (-4 - 4) = -2 / -8 = 1/4
The value of k is 1/4.
Hence the value of constant of variation is 1/4.
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What is the surface area of this
cylinder?
Use ≈ 3.14 and round your answer
to the nearest hundredth.
9 ft
5 ft
The surface area of the cylinder is 791.28 sqft.
What drives your use of surface area?A three-dimensional object's surface area is the sum of all of its faces. Real-world applications of the concept of surface areas include wrapping, painting, and eventually building things to achieve the best possible design.
What is the equation for a hollow cylinder's volume?The formula for the volume of a hollow cylinder is V = (R2 -r2)h cubic units if "R" denotes the outer radius, "r" denotes the inner radius, and "h" denotes the height.
Given,
radius=9ft
height=5ft
[tex]SA=2\pi rh+2\pi r^2\\SA=2*3.14*8*5+2*3.14*5^2\\SA=791.26 sqft[/tex]
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(PRE CALC) Which graph shows the function f(x)=−ln(x−1)
Pls help me to find the answer!
Answer:
Step-by-step explanation:
13x+16
Lets simplify this step by step
5(2x+2)+3x+6
Distribute:
=(5)(2x)+(5)(2)+3x+6
=10x+10+3x+6
Combine Like Terms:
=10x+10+3x+6
=(10x+3x)+(10+6)
=13x+16
13x+16
The following is a function, true or false?
It is TRUE that the given image represents the function.
What is a function?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.
The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
Initially, functions represented the idealized relationship between two changing quantities.
A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.
So, the given image represents a function and it is a kind of many-to-one function.
Therefore, it is TRUE that the given image represents the function.
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Use the table to write a linear function that relates y to x .
From the table given a linear function that relates y to x is y = -7.
What is point - slope form of line?
The equation of a straight line that passes through a given point and is inclined at a specific angle to the x-axis can be found using the point slope form. Every point on a line must satisfy the equation for the line in order for it to exist. This implies that a line is represented by a linear equation in two variables.
The point - slope form of line is y - y1 = m(x - x1).
From the given table of values we have to find the linear function that relates y to x.
First to find the slope.
Slope = [tex]\frac{y_2-y_1}{x_2-x_1} = \frac{-7-(-7)}{0-(-2)} = \frac{0}{2} = 0[/tex]
Now consider the point - slope form of line,
y - y1 = m(x - x1).
y - (-7) = 0(x - 0)
y + 7 = 0
y = -7
Hence, from the table given a linear function that relates y to x is y = -7.
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Energy is generated from solar & wind power. Solar power must be at most 6 units/day or the panels will burn out. Wind must be strong enough to power 1 unit/day or else the turbines won’t turn. The wind power must be less than twice the solar power less one, or the batteries won’t charge properly.
Find the optimal production of wind and solar that will maximize overall power output.
The optimal production of wind and solar that will maximize overall power output is 3 units/day of solar power and 2 units/day of wind power.
How to determine the optimal productionTo solve this question, we use the following representations
Let x be the amount of solar power generated y be the amount of wind power generated.So, the objective function is to maximize z = x + y, which represents the overall power output.
From the question, we have the following constraints:
x <= 6 (solar power must be at most 6 units/day)y >= 1 (wind power must be strong enough to power 1 unit/day)y <= 2x - 1 (wind power must be less than twice the solar power minus one)Using the Lagrangian function, we have:
L(x,y,λ1,λ2,λ3) = x + y + λ1(6-x) + λ2(y-1) + λ3(2x-y-1)
To find the optimal solution, we need to find the values of x, y, λ1, λ2, and λ3 that will make the partial derivatives of L equal to zero:
∂L/∂x = 1 + λ3 = 0
∂L/∂y = 1 - λ1 + λ2 + λ3 = 0
Using the variables x and y, we have
∂L/∂λ1 = -x + 6 = 0
∂L/∂λ2 = y - 1 = 0
∂L/∂λ3 = 2x - y - 1 = 0
Using a graphing calculator, the points that maximize the objective function are:
x = 3 and y = 2
i.e.
Power output is 3 units/day of solar power and 2 units/day of wind power.
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ms wong wants to estimate the hourly rate of any given babysitter. how should she estimate the rate? why?
In order to estimate the hourly rate of any given babysitter, Ms. Wong can make use of the mean of the sample, because it most closely describes the values of the data in the dataset
What is the sample mean of a dataset?The sample mean is the average of the values in the data sample.
Possible part of the question, obtained from a similar question online includes the following table of values;
Babysitter [tex]{}[/tex] Rate in dollars per hour
1 [tex]{}[/tex] 9.6
2 [tex]{}[/tex] 9.80
3 [tex]{}[/tex] 15.50
4 [tex]{}[/tex] 10.6
5 [tex]{}[/tex] 9.7
6 [tex]{}[/tex] 10.20
7 [tex]{}[/tex] 8.80
8 [tex]{}[/tex] 11.20
9 [tex]{}[/tex] 8.80
10 [tex]{}[/tex] 10.10
The estimate of the hourly rate of any given babysitter can be found using the descriptive statistic, such as the mean, median, or mode, which are measures that indicate the possible mid value of a data set.
The mean is the average value of the dataset, which is obtained by adding the individual data points together and dividing the sum by the number of data points as follows;
9.6 + 9.8 + 15.5 + 10.6 + 9.7 + 10.2 + 8.8 + 11.2 + 8.8 + 10.1 = 104.3
The number of datapoints in the data = 10
The mean = 104.3/10 = 10.43
The median is the middle value which is found by arranging the values in increasing order, then selecting the middle value as follows;
The median values in the dataset that has 10 data points is the average of the 5th and 6th values, which are; 9.8 and 10.1
The median of the dataset is therefore; (9.8 + 10.1)/2 = 9.95
The mode of the dataset is the most common value within the dataset. The mode is therefore 8.8
Based on the above three values, the best estimate that most closely describe the data in the dataset is the mean
Therefore, to estimate the hourly rate of any babysitter, Ms. Wong can make use of the mean, because it most closely describes the values in the dataset.
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The dog shelter has Labradors, Terriers, and Golden Retrievers available for adoption. If P(terriers) = 85%, interpret the likelihood of randomly selecting a terrier from the shelter. Likely Unlikely Equally likely and unlikely This value is not possible to represent probability of a chance event
The interpretation of the likelihood of randomly selecting a terrier from the dog shelter where terriers are 85% is A. Likely.
What is probability?Probability refers to the chance or likelihood of an expected event occurring when there are many possible chances.
Probability is depicted as a fractional value lying between zero and one when it is not 100% uncertain or certain.
Thus, since the percentage of terriers in the dog shelter is 85%, it is 85% likely that one selects a terrier.
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Answer: A: Likely.
Step-by-step explanation:
please need help!!!!!!!!!!! Answer 8, 9, and 10 please!!!!!!!!!!!! 50 points!!!!!!!!!!!!!!!
Answer:
8) AD = 23
9) m<B = 63
10) G(1,-5)
-------------------------------
8)
AD = BC
Thus, x + 21 = 12x - 1
11x = 22
x = 2
So, AD = 23
9)
consecutive angles are supplementary, sum to 180
y/2 + y - 9 = 180
3/2 y = 189
y = 126
so, m<B = 63
10)
Diagonals bisect each other. The midpoint of DF = (-1.5, 0.5)
-1.5 = 2+x/2
x = 1
0.5 = 6+y/2
y = -5
G(1,-5)
Maysol made 75 bracelets this month.
Last month she made 40 bracelets.
What is the percent of change
There is a 46.7% increase in the number of bracelets made.
What is Percentage?A percentage is a number or ratio that can be expressed as a fraction of 100 (100 as denominator). To calculate percent of a number, divide the number by the whole and multiply by 100.
Hence, it means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
Maysol made;
This month = 75 bracelets
Last month = 40 bracelets
Change = 75 - 40
Change = 35
This means there was an increase
% increase = (35/75) x 100
% increase = 46.7%
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Find the absolute value of the fraction. Draw a number line to show how far the fraction is from 0. -5\13
The required number line attached below shows the absolute value of the fraction 5/13 is from 0.
What is absolute value?Absolute value is defined as the magnitude or size of a number, no negatives are allowed. The distance a number is from 0 on the number line is known as the absolute value of the number.
The fraction is given in the question, as follows:
-5/13
We have to determine the absolute value of the fraction.
As per the question, we can write the absolute value of the fraction as:
⇒ 5/13
Thus, the number line attached below displays the distance of the fraction from 0.
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What is the surface area of the triangular prism?
The surface area of the triangular prism is 608 cm².
What is surface area and volume? Surface area and volume are two measurements of three-dimensional objects. Surface area is the total area of the object’s exposed sides, while volume is the amount of space that the object occupies. Surface area is typically measured in square units, such as inches or centimeters, while volume is measured in cubic units, such as cubic inches or cubic centimeters.The primary difference between surface area and volume is that surface area measures the area of the exposed surfaces of an object, while volume measures the amount of space within the object. Volume is the total amount of space inside the object, while surface area is the total area of the exposed faces of the object. For example, a cube has six faces, and each of those faces has an area. The total of all six faces is the surface area of the cube, while the volume is the amount of internal space inside the cube.Given,
base of triangle = 12 cm
height of triangle = 8 cm
length of triangle = 10 + 10 + 12 = 32 cm
Width of the triangle = 16 cm
Area of the rectangle = l x b = 32 x 16 = 512 cm²
Area of triangle = 1/2 x 12 x 8 = 48 cm²
There are 2 triangle, so 48 + 48 = 96 cm²
Add all these values, 512 + 96 = 608 cm²
∴The surface area of triangular prism = 608 cm²
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The sum of the surfaces of the five faces of a triangular prism is its surface area.
Explain about the triangular prism?Having two triangular bases and three rectangular sides, a triangular prism is a type of polyhedron. It is a three-dimensional object with two base faces and three side faces that are joined by edges.
There are 6 vertices, 5 edges, and 5 faces on it. The other 3 faces have a rectangle-like shape, while the 2 bases are structured like a triangle. Camping tents, chocolate candies, roofs, etc. are a few instances of triangular prisms in the real world.
A solid object called a prism has plane faces enclosing each of its four sides. Faces in a prism come in two different varieties. Bases are used to describe the top and bottom faces, which are identical.
12 cm is the triangle's base.
triangle's height is 8 cm.
Triangle's length is 32 cm (10 + 10 + 10 cm).
Triangle width is 16 cm.
The rectangle's area is 512 cm2 (l x b = 32 x 16).
Triangle area equals 1/2 x 12 x 8 = 48 cm2.
Two triangles are present, therefore 48 + 48 = 96 cm2.
512 + 96 = 608 cm2 after adding all these values.
The triangular prism's surface area is 608 cm2.
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Jase uses a rope as the circumference of a circle on the playground. If the rope is 6 meters long, what is the area of the circle in square
meters? Use x = 3. 14. Round to the nearest hundredth as necessary.
Answer:
279.05649m³
Step-by-step explanation:
Circumference = 2πr
6 = 2πr
6/2π = r
r = 9.424777961
Area = πr²
Area = π(9.424777961²)
Area = 279.05649m³
Help solve the equation please!!
Answer:
you forgot the question
Step-by-step explanation:
Which ordered pair is a solution for the system of equations?
3a-5y-15
2-y--4
(2,8)
(-6, -11)
(0, 3)
0 (-5, -6)
The order pair solution of the given system of equations is (-5, -6).
Solving system of equations:Here we will use the substitution method to solve the given equation. In this obtain value of one variable from one equation and substitute the value in another equation to get the value of variables.
Here we have
3x - 5y = 15 ---- (1)
2x - y = - 4 ---- (2)
=> y = 2x + 4 --- (3)
From (1) and (3)
=> 3x - 5(2x + 4) = 15
=> 3x - 10x - 20 = 15
=> -7x = 35
=> x = -5
Substitute x = - 5 in 2x - y = - 4
=> 2(-5) - y = -4
=> -10 - y = -4
=> y = - 6
Therefore,
The order pair solution of the given system of equations is (-5, -6).
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The sides of triangle ∆ABC have lengths of 3 cm, 8 cm, and 10 cm. If the smallest side of a similar triangle ∆XYZ has a length of 12 cm, what must be the length of the longest side of ∆XYZ?
The length of the longest side of ∆XYZ will be 40 cm. Then the correct option is A.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The sides of triangle ∆ABC have lengths of 3 cm, 8 cm, and 10 cm. If the smallest side of a similar triangle ∆XYZ has a length of 12 cm.
Let 'x' be the length of the longest side. Then the equation is given as,
x / 10 = 12 / 3
Simplify the equation, then we have
x / 10 = 12 / 3
x / 10 = 4
x = 40 cm
The length of the longest side of ∆XYZ will be 40 cm. Then the correct option is A.
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How do you write 11/15 as a decimal
To write [tex]\dfrac{11}{15}[/tex] as a decimal, you need to divide the numerator by the denominator.
The numerator of the fraction is 11.
The denominator of the fraction is 15.
[tex]11\div15[/tex]
[tex]=\fbox{0.73}[/tex]
3+4 (r-6)=3(2+2r) 7r show work please
By solving the equation The answer is -27+17r .Because the Given question is a Equivalent Equation
Explanation3+4(r-6)= 3(2+2r)+7r
3+4r-24=6+6r+7r
3-6-24+4r+6r+7r
-24+17r
What is equivalent Equation?Algebraic equations with equivalent solutions or roots are called equivalent equations. An analogous equation is one that is created by adding or removing the identical quantity or expression from both sides of a given equation. An equation is equivalent if both sides are multiplied or divided by the same non-zero value.
If two equations have the same solution, they are equivalent.
Equations that are equivalent can be created by adding, subtracting, multiplying, and dividing by the same number on either side of the equal sign.
Distribute the coefficients Combine any like term on both side.Arrange the term in same order.If all the terms in two expressions are same then the equations are equivalent.How to Solve an Equation in StepsFinding the value of the variable that makes the equation's condition true is the goal of equation solving. The subsequent actions are carried out while keeping the equation balanced on both sides in order to isolate the variable. By repeating this, LHS and RHS finally remain equal, and the equilibrium is maintained throughout.
Addition property of equality: Add the same number to both the sides. If a = b, then a + c = b + cSubtraction property of equality: Subtract the same number from both sides. If a = b, then a - c = b - cMultiplication property of equality: Multiply the same number on both sides. If a = b, then ac = bcDivision property of equality: Divide by the same number on both sides. If a = b, then a/c = b/c (where c ≠ 0)We separate the variable on one of the sides of the equation after applying this approach of systematic balancing, which entails a series of identical mathematical operations on both sides of the equation. The final step is the solution of the equation.
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