d) The best interpretation of the standard deviation is that "On average, the number of breakdowns per day varies from the mean by about 0.23"
The standard deviation is a measure of how much the data in a set varies or deviates from the mean. In this case, the standard deviation of 0.23 for the number of equipment breakdowns means that on average, the number of breakdowns per day varies by 0.23 from the mean.
This means that the majority of the data falls within 0.23 above or below the mean. The standard deviation is a way to quantify the spread of the data, which can help in understanding the distribution of the data set.
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Marshall modeled the distance, y, that swimmers traveled during a race as a
function of time, x, that they swam. Which would best describe the domain of
this function?
The domain of the function modeling the distance swam by a swimmer as a function of time would be all positive real numbers greater than or equal to zero, representing the time spent swimming in the race.
This is because the time spent swimming in a race cannot be negative and must be greater than or equal to zero, which represents the start of the race. The domain of a function defines the set of all possible input values (in this case, time) for which the function produces a valid output (distance). In this case, the domain would be all positive real numbers greater than or equal to zero, since these are the only valid input values that can be used to calculate the distance swam by a swimmer during a race.
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if f(x) = x + 3/x
Find f¹(x).
The value of f¹(x) is 1-3/x^2 when the given function is f(x) = x+3/x .
What is Differentiation ?Differentiation is the process of calculus that finds the rate of change or slope of a function at a particular point. This is represented by the symbols 'd/dx' or '∂/∂x'. where x is a variable. The result of differentiation is called the derivative of the function. There are several techniques for finding the derivative of a function. B. Use power, product, and quotient rules. Differential processes are also useful in solving various problems in physics and engineering, such as: B. Find the maximum or minimum value of a function to understand its behavior around a certain point.
Given function,
f(x) = x+3/x
Differentiating on both sides , so we get
on LHS = f¹(x)
and on RHS = 1+d(3/x) / dx
Hence,
f¹(x) = 1+d(3/x) / dx
d(x)/dx = 1
d(1/x) = - 1/ x^2
so we get,
f¹(x) = 1-3/x^2
Hence, The value of f¹(x) is 1-3/x^2 when the given function is f(x) = x+3/x
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2. Manasi wants to plant flowers in her square field of side 10m.. If Lekha also wants to plant flowers in her rectangular field of length 8m and the same perimeter as that of the square field, whose field will be able to sow more seeds?
please tell the answer
The number of seeds that can be sown in a given area depends on the size and spacing of the seeds.
What is the area of the square?
A square is a 2D figure in which all the sides are of equal measure. Since all the sides are equal, the area would be length times width, which is equal to side × side. Hence, the area of a square is a side square.
It is not possible to determine which field will be able to sow more seeds without additional information.
The square field has an area of 100 square meters,
while the rectangular field has an area of 40 square meters, but the perimeter of the rectangular field is not given and it is not possible to calculate it.
Hence, The number of seeds that can be sown in a given area depends on the size and spacing of the seeds, as well as the type of soil and other environmental factors.
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how to simplify and what the answer is
Answer: 27x to the power of 6, y to the power of 12
Step-by-step explanation:
Look at picture because the actual explanation is way too long.
i suck at this please help
Answer: 1904 for the first question
Step-by-step explanation: I am not completely sure so might want to look into it some more.
156.8 - 9.92 I don’t know how to solve it
Answer:
156.8 - 9.92 = 146.88
Step-by-step explanation:
the sum of he digits of a certain two digit number is 7 reversingits digits increase the number by nine
The first digit is 3 and the second 4 so the original number is 34
What is an order of an equation?
The highest-order derivative that a differential equation has is used to define the equation's order. The highest-order derivative of a differential equation is defined as its degree, which is expressed as a power.
Here, We
Let the first digit be a
Let the second digit be b
a + b = 7....(1)
The first order value:
a is a counting in tens. So actual value is 10(a)
b is counting in units. So actual value is 1(b)
10a + b...(2)
The second order value:
b is a counting in tens. So the actual value is 10(b)
a is counting in units. So actual value is 1(a)
10b + a....(3)
Now, we subtract equation(3) from (2) and we get
= (10b + a) -(10a + b) = 9
= 9b - 9a = 9
= b - a = 1...(4)
From equation(1)
a = 7 - b
Now, we put the value of a in equation(4) and we get
= b - (7-b) = 1
= b - 7 + b = 1
= 2b = 8
b = 4
Now, substitute the value of b in equation (1) and we get
a = 3
Hence, The first digit is 3 and the second 4 so the original number is 34
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What is the degree of the polynomial 2x² 5x³ 7x 8?
Answer:he degree of the polynomial 3x 8 + 4x 3 + 9x + 1 is 8. We know that the polynomial can be classified into polynomial with one variable and polynomial with multiple variables
Step-by-step explanation:
How do you know if a graph is inverse or direct?
In a direct relationship, Y increases when X increases. On a graph, a direct relationship always has a positive slope. Inverse relationship: An inverse relationship means that the variables change in opposite directions: one increases while the other decreases, and vice versa.
Now, According to the question:
Let's know:
Direct relationship:
A direct relationship means that both variables increase together or both decrease together.
In a direct relationship, Y increases when X increases.
On a graph, a direct relationship always has a positive slope.
Inverse relationship:
An inverse relationship means that the variables change in opposite directions: one increases while the other decreases, and vice versa.
In an inverse relationship, Y decreases when X increases.
On a graph, an inverse relationship always has a negative slope.
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How do you solve a system of equations with two variables by substitution?
To see the steps of Solutions Using Substitution with Two Variables.
Now, According to the question:
An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero. For example, 10x+4y = 3 and -x+5y = 2 are linear equations in two variables.
Linear Equations: Solutions Using Substitution with Two Variables
To solve systems using substitution, follow this procedure:
Select one equation and solve it for one of its variables.In the other equation, substitute for the variable just solved.Solve the new equation.Substitute the value found into any equation involving both variables and solve for the other variable.Check the solution in both original equations.Learn more about Linear Equation at:
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What is the base in 7?
The simplest scenario is that the number fits in one bit, hence it must be less than two. If so, the output is the number itself, whether it be 0 or 1.
We employ the digits 0 through 6 in the base system of 7, however 7 won't be present. We use 10 to write 7 in base system 7. A number in base 7 can only be expressed using the numbers 0 through 6. 1 x + 3 x 7 + 5 = 75 in base 10 corresponds to the number 135 in base 7.
Let's now translate 384605 into Base 7. Divide 384605 by 7 to get the answer:
384605 ÷ 7 = 54943 + R(4)
Next, split the 54943-quotient by the following:
384605 ÷ 7 = 54943 + R(4)
54943 ÷ 7 = 7849 + R(0)
Repeat these steps with 7849 until the quotient equals 0:
384605 ÷ 7 = 54943 + R(4)
54943 ÷ 7 = 7849 + R(0)
7849 ÷ 7 = 1121 + R(2)
1121 ÷ 7 = 160 + R(1)
160 ÷ 7 = 22 + R(6)
22 ÷ 7 = 3 + R(1)
3 ÷ 7 = 0 + R(3)
The Base 7 numbers will make up the remainders. Use the remainders' digits in the order of bottom to top. Therefore,
384605 = [tex]3161204_7[/tex]
A number with the digits 0, 1, 2, 3, 4, 5, and 6 is known as a base 7 number. If the given integer has a subscript of 7, it has been written in Base 7. Heptimal system is another name for the base-7 system.
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75 POINTS!! Three questions in the attachments below, (please don't spam random stuff to claim points)!
1.AB || DC Given
m<BCD + m<BEF = 180 Given
2.<3 <1 Since AB and DC are parallel, corresponding angles are congruent
3.<4+<5 = 180 Substitution
4.<3 ≅<5 Angle Sum Property
5.<5 ≅<2 Since AB and DC are parallel, corresponding angles are congruent
6.<3≅ <2 Angle Sum Property
7. BC|| EF Transitive Property of Parallel Lines
What is corresponding angles?Corresponding angles are two angles that have the same position in relation to two other lines or planes. The two lines or planes are usually parallel. These angles are opposite each other and they share the same vertex. The angles are non-adjacent angles and they are usually congruent. Corresponding angles can be found in many everyday situations. For example, in architecture, corresponding angles are used to ensure that two walls that are parallel to each other have the same angles at the corners. This can be used to create interesting designs or to ensure the stability of a building. In mathematics, corresponding angles are used to prove that two lines are parallel. This is done by showing that the angles in the same position on either side of the two lines have equal measurements. This is known as the Alternate Interior Angles Theorem.Corresponding angles are also used in 3-D shapes. If a 3-D shape is cut into two pieces then the angles at the same position on either piece will be corresponding angles. This can be used to identify the shape of the original 3-D shape. Overall, corresponding angles are very useful in many different fields. They can be used to create interesting designs.To learn more about angles refer to:
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How do you graph a linear equation 3x 2y 6?
We can draw the graph a linear equation 3x + 2y = 6 by isolating y then putting the different value of x to find the value of y.
We have to explain, how we graph a linear equation 3x + 2y = 6.
The given linear equation is 3x + 2y = 6.
To graph the linear equation, we have to first isolate the y.
Subtract 3x on both side, we get
2y = 6 - 3x
Divide by 2 on both side, we get
y = [tex]\frac{6 - 3x}{2}[/tex]
Now we finding the value of y in the different value of value of x
x 0 2
y 3 0
Now we draw that points.
The graph of the given linear equation is given below:
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The complete question is:
How do you graph a linear equation 3x + 2y = 6?
Rewrite [tex]\frac{\frac{x^{3}-xy^{2} }{y} }{\frac{y}{x}-1 }[/tex] as a single, simplified fraction. State any excluded values of the variables.
The simplified fraction is -x²(x + y)/y for the given expression.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
The fraction is given in the question, as follows;
{(x³ -xy²)/y}/{y/x - 1}
{x(x² -y²)/y}/{(y - x)/x}
{x(x - y)(x + y)/y}/{(y - x)/x}
Reciprocal the terms in the above fraction,
{x(x - y)(x + y)/y} × {x/(y - x)}
{x(x - y)(x + y)/y} × {-x/(x - y)}
Reduce the same term in the expression,
{x(x + y)/y} × {-x}
-x²(x + y)/y
This is the simplified fraction.
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What is the value of 18 exponet of 3?
54
21
5,832
324
Answer: 5832
Step-by-step explanation:
18^3 = 324 * 18 = 5832
Answer:
5,832
Step-by-step explanation:
18^3 = (18)(18)(18) = 5,832
Given three floating-point numbers x, y, and z, output x to the power of z, x to the power of (y to the power of z), the absolute value of y, and the square root of (xy to the power of z).
[tex]x^y^z[/tex] , [tex]|x|[/tex] are the output of 1st 2 question and for the second question
the final computation SquareRoot(RaiseToPower(x*y, z)) is doing this:
[tex]\sqrt{(xy)^z}[/tex]
float x , float y , float z
x = Get new line of input
y = Get new line of input
z = Get new line of input
Place RaiseToPower(x, y) in the output.
Place RaiseToPower(x, RaiseToPower(y, z)) to get output
Put abs(x) to output
where abs(x) is absolute value of x
Place SquareRoot(RaiseToPower(x*y, z)) to get disired output
The very first three lines of code simply declare the float type (a number with decimal points) data type of the x, y, and z variables.
After the initial three lines, the user's input is asked in the following three lines.
Coral's Put instruction is used to output an expression for display on the console.
I'm using Coral's built-in RaiseToPower math function to instruct the interpreter to output the value of x raised to the power of y to the console for the initial Put command.
Although the subsequent calculation RaiseToPower(x, RaiseToPower(y, z)) appears to be nested, it actually performs this: [tex]x^y^z[/tex]
The next computation is AbsoluteValue(x) is doing this [tex]|x|[/tex]
And the final computation SquareRoot(RaiseToPower(x*y, z)) is doing this:
[tex]\sqrt{(xy)^z}[/tex]
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when player a played football, he weighed 228 pounds. how many standard deviations above or below the mean was he?
The mean weight of the team was found to be 222.47 pounds. The standard deviation was 28.32 pounds. 3 standard deviations below the mean were 136.83 pounds. Player A was approximately 0.20 standard deviations above the mean.
(i) Mean:
mean = (sum of all weights) / (number of weights) = (177 + 203 + 211 + 211 + 232 + 205 + 185 + 185 + 178 + 210 + 206 + 212 + 184 + 174 + 185 + 242 + 188 + 212 + 215 + 247 + 241 + 223 + 220 + 260 + 245 + 259 + 278 + 270 + 280 + 295 + 275 + 285 + 290 + 272 + 273 + 280 + 285 + 286 + 200 + 215 + 185 + 230 + 250 + 241 + 190 + 260 + 250 + 302 + 265 + 290 + 276 + 228) / (55) = 222.47
So, the mean weight of the team members of Football Team A was approximately 222.47 pounds.
(ii) Standard deviation:
We need to calculate the deviation from the mean for each weight and then find the square of the deviations. We can then find the sum of the squared deviations, divide by the number of weights minus 1, and then find the square root of the result.
Deviation from the mean:
177 - 222.47 = -45.47,
203 - 222.47 = -19.47,
211 - 222.47 = -11.47, and so on till,
228 - 222.47 = 5.53
Squared deviation:
(-45.47)^2 = 2070.5489,
(-19.47)^2 = 379.3409,
(-11.47)^2 = 131.4409, and so on till,
(5.53)^2 = 30.6409.
Sum of squared deviations:
sum = 2070.5489 + 379.3409 + 131.4409 + ... + 30.6409
sum = 30589.6409
standard deviation = square root of [(sum of squares of deviations from the mean) / (number of observations - 1)]
standard deviation = square root of [(30589.6409) / (55 - 1)]
standard deviation = 28.32
So, the standard deviation of the weights of the team members of Football Team A was approximately 28.32 pounds.
(iii) 3 standard deviations below the mean:
3 standard deviations below the mean = mean - (3 * standard deviation) = 222.47 - (3 * 28.32) = 136.83
So, a weight that is 3 standard deviations below the mean is approximately 136.83 pounds.
(iv) Player A's weight in terms of standard deviations:
Player A's weight = 228 pounds
Player A's deviation from the mean = 228 - 222.47 = 5.53
Player A's weight in terms of standard deviations = 5.53 / 28.32 = 0.20
So, Player A was approximately 0.20 standard deviations above the mean.
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Complete question: Following are the published weights (in pounds) of all of the team members of Football Team A from a previous year. 177; 203; 211; 211; 232; 205; 185; 185; 178; 210; 206; 212; 184; 174; 185; 242; 188; 212; 215; 247; 241; 223; 220; 260; 245; 259; 278; 270; 280; 295; 275; 285; 290; 272; 273; 280; 285; 286; 200; 215; 185; 230; 250; 241; 190; 260; 250; 302; 265; 290; 276; 228; 265 Assume the population was Football Team A. Find the following. (Round your answers to two decimal places.) (i) the population mean (ii) the population standard deviation (iii) the weight that is 3 standard deviations below the mean (iv) When Player A played football, he weighed 228 pounds. How many standard deviations above or below the mean was he?
Use the Law of detachment to draw a conclusion
1. If a figures 's a rectangle, then it has four right angles.
Figure PQRS is a rectangle.
2. If a quadrilateral is a trapezoid, then it has exactly one pair of parallel sides.
Quadrilateral ABCD is a trapezoid.
3. If a convex polygon is a pentagon, then the sum of the measures of its interior angles is 540°. Figure ABCDE is a pentagon.
4. If an angle is acute, then its measure is greater than 0° but less than 90°.
5. If two angles are congruent, then their measures are equal.
PQRS has four right angles, ABCDE is a pentagon and ABC measure greater than 0 but less than 900.
What is quadrilateral?
Quadrilaterals are typically four-sided closed shapes, and there are numerous varieties of them. Square, rectangle, rhombus, kite, and trapezoid are the most typical shapes. Four closed sides make up a quadrilateral. Quadrilaterals are the following figures: a four-sided figure. The form features a single set of parallel sides and no right angles.
If a figure is a rectangle, then it has four right angles. Figure PQRS is a rectangle.
• Figure PQRS has four right angles.
If a convex polygon is a pentagon, then the sum of the measures of its interior angles is 540°.
• Figure ABCDE is a pentagon.
If an angle is acute, then its measure is greater than 0 but less than 90. ABC is an acute angle.
• ABC measure greater than 0 but less than 900
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Can someone help me understand this?
When the values of x and y are replaced into a linear inequality in two variables, such as Ax + By > C, the solution is an ordered pair (x, y) .
what is linear inequalities ?In mathematics, an inequality is a connection between two expressions or values that is not equal. As a result, inequality results from imbalance. In mathematics, an inequality establishes a connection between two non-equal numbers. Egality is different from inequality. Use the not equal sign, which is most frequently used, when two values are not equal (). Values of any size can be contrasted using various inequalities. By changing the two sides until only the variables are left, many straightforward inequalities can be resolved. But a lot of factors support inequality: On either side, negative values are split or added.
given
Rule 1: An inequality sign remains unaltered when the same amount is added to or subtracted from both sides.
Rule 2: The inequality sign remains constant when both sides are multiplied or divided by a positive number.
When the values of x and y are replaced into a linear inequality in two variables, such as Ax + By > C, the solution is an ordered pair (x, y) .
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Explain the relationship between the behavior of some couples and a nuclear arms race?
The surprising discovery of utilising arithmetic to reduce the risk of divorce is based on the Gottman Group's scale of points, which distinguishes between High Risk and Low Risk of Divorce.
What is nuclear arms race?During the Cold War, the United States, the Soviet Union, and their allies engaged in a struggle for nuclear superiority known as the nuclear arms race. The United States developed more atomic weapons to aid in discouraging Soviet communist growth. But after the Soviet Union conducted its own atomic bomb test in 1949, the Cold War nuclear arms race began. An arms race is when two or more countries acquire military power in a competitive manner. When a group of nations raise their military spending or build up their forces, the term is frequently used fairly loosely. The competitive tone of this escalation frequently implies a hostile relationship.To learn more about nuclear arms race, refer to:
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My question is this, I don’t know what to do with this:
11. 0.45 × $6,800
Answer:
3060 US$
2,829.28 EU$ <—- I only added this because i live in EU.
Step-by-step explanation:
How do I know what type of graph to draw?
If you want to compare values, use a pie chart — for relative comparison — or bar charts — for precise comparison. If you want to compare volumes, use an area chart or a bubble chart. If you want to show trends and patterns in your data, use a line chart, bar chart, or scatter plot.
Now, According to the question:
How to Choose the Right Data Visualization
Showing change over time.Showing a part-to-whole composition.Looking at how data is distributed.Comparing values between groups.Observing relationships between variables.Looking at geographical data.Hence, If you want to compare values, use a pie chart — for relative comparison — or bar charts — for precise comparison. If you want to compare volumes, use an area chart or a bubble chart. If you want to show trends and patterns in your data, use a line chart, bar chart, or scatter plot.
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How do you translate a graph left and right?
To translate a graph left and right, you need to shift the graph horizontally. To shift the graph left, subtract the desired amount from the x-values and keep the y-values the same. To shift the graph right, add the desired amount to the x-values and keep the y-values the same.
To translate a graph left and right, you need to shift the graph horizontally. This means that the values on the x-axis will be changed while the values on the y-axis will remain the same. To shift the graph left, subtract the desired amount from the x-values and keep the y-values the same. This will move the graph to the left on the x-axis. To shift the graph right, add the desired amount to the x-values and keep the y-values the same. This will move the graph to the right on the x-axis. Both of these processes can be used to shift the graph to the desired position on the x-axis.
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a local school newspaper's editor wants to survey students to determine the approval rating of the current student council president. how would the newspaper apply the cluster sampling method to find this information?
The newspaper staff surveys random students from every grade in the school.
Group sampling
In cluster sampling, a population is divided into clusters, which are smaller groups. They then choose a sample at random from these clusters. Often employed to investigate huge populations, particularly those that are extensively geographically distributed, cluster sampling is a probability sampling technique.
What kind of cluster sampling is that?
Single-stage cluster sampling illustration In order to give education, an NGO wishes to compile a sample of girls from five nearby communities. The NGO selects towns (clusters) at random to create a sample using single-stage sampling and then provides assistance to the girls who are denied schooling in those places.
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what is the inverses function of f(x)=4x-8
Answer:
f^-1(x) = (x+8)/4
Step-by-step explanation:
To find the inverse function,
FIRST, change f(x) to y.
f(x)=4x-8
y = 4x - 8
SECOND, switch the x and the y.
x = 4y - 8
NEXT, solve for y.
x = 4y - 8
add 8 to both sides.
x + 8 = 4y
divide both sides by 4.
(x+8)/4 = y
LAST, rewrite using f^-1(x) in place of y
f^-1(x) = (x+8)/4
If you have better functionality (than me typing on my phone) use a -1 exponent beside the f. Also, put the x+8 on top of the fraction with the 4 on the bottom of the fraction. Then you won't need the parenthesis around the x+8
which equation models this situation
m = 2.58 b is a linear function that models the scenario as stated.
What is Linear function?A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.
Given, At the bakery, loaves cost $2.58 each. The total money spent at the bakery (m) is equal to the product of 2.58 and the number of loaves of bread that were bought (b).
Linear Function for the given condition
(Since all money is spent on the loaves)
m = 2.58 b
Therefore, a Linear function that models the given situation is m = 2.58 b.
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If sin f° = eight ninths and the measure of segment YW is 24 units, what is the measure of segment YX?
21 units
24 units
27 units
30 units
Answer:
Step-by-1step explanation:
Which ordered pair is a solution to the linear inequality y ⩾ 2x–4?a.(1,2)
b.(1, 1)
c.(2,-3)
d.(2,4)
The linear inequality y⩾2x–4 can be expressed in the standard form of an inequality as y-2x⩾–4.
This means that the y-value must be greater than or equal to the result of the calculation 2x–4. To solve this inequality, we can substitute an x-value and calculate the corresponding y-value. For example, if we choose an x-value of 1, then we can calculate the y-value as y = 2x–4 = 2(1)–4 = –2. Therefore, the ordered pair (1,2) is a solution to the linear inequality, as the y-value (2) is greater than or equal to the result of the calculation 2x–4 (–2). The ordered pair (1,1) is not a solution to the linear inequality, as the y-value (1) is less than the result of the calculation 2x–4 (–2). The ordered pair (2,–3) is not a solution to the linear inequality, as the y-value (–3) is less than the result of the calculation 2x–4 (–4). The ordered pair (2,4) is a solution, as the y-value (4) is greater than or equal to the result of the calculation 2x–4 (–4).
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On Monday, the theater club sells 30 tickets for the school play. On Tuesday, they sell 20 tickets. On those two days, they sell 25% of the total number of tickets. What is the total number of tickets?
The total number of tickets is 200 tickets.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given;
On Monday,
the theater club sells 30 tickets for the school play.
On Tuesday,
they sell 20 tickets.
On those two days,
they sell 30 + 20 tickets and that is 25% of total tickets.
So, total number of tickets,
here, 25% = 50
So, 25 x 4 = 100% = 50 x 4 = 200 tickets.
Therefore, 200 tickets are the total number of tickets.
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3. Trapezoid A'B'C'D was created by dilating trapezoid ABCD using D as the center of dilation.
a. What was the scale factor of the dilation?
b. Based on the scale factor, how many copies of ABCD, including the
original, should fit inside A'B'C'D'?
c. How can you see your answer to these questions in the diagram?
a. The scale factor is solved to get 3
b. There 9 copies of the of the original shape in the scaled image
c. the top has 2 and a remaining part shaded and labelled O which is joined to the part labelled P at the base to form 3
The middle has 3 while the last has 3 and the part labelled P
3 + 3 + 2 + 1 = 9
How to calculate the scale factorScale factors are used to increase or decrease image. The situation of increment is usually called magnifying.
For the given graph the values with prime is assumed to be the the image while the the values without prime represent the original shape.
Taking a point of reference say CB and C'B'.
CB = 2
C'B' = 6
solving for the factor, assuming the factor is k
2k = 6
k = 6/2 = 3
b. The area of the original shape is solved using the formula for area of trapezoid
= 0.5 (sum of parallel lines) * height
= 0.5 * (2 + 4) * 2
= 6 square units
area of the image
= 0.5 * (6 + 12) * 6
= 54 square units
the number of the original shape in the scaled copy
= area of the image / area of the original shape
= 54 / 6
= 9
Read more on scale factor here:
brainly.com/question/8159270
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