The median is the exact middle number in a sequence or set of numbers.
Steps to find the median is given below:
Finding the Median in an Odd Set of Numbers:
Step 1: Sort your set of numbers from least to greatest. If they're scrambled, line them up, starting with the lowest number and ending with the highest number.
Step 2: Find the number that is exactly in the middle. This means that the median number has the same amount of numbers in front of it as it does behind it.
Finding the Median in an Even Set of Numbers
Step 1: Sort out your set of numbers from least to greatest. An even set of numbers is going to have two numbers exactly in the middle.
Step 2: Find the average of the two numbers in the middle. If 2 and 3 are both in the middle, so you need to add 2 and 3, then divide the sum by 2. The formula for finding the average of two numbers is (the sum of the two middle numbers) ÷ 2.
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What are the 4 steps of the 4 step method?
The steps of the step method are:
1. Analyze the situation: Identify the problem and its causes.2. Plan: Develop a plan of action to address the problem.3. Execute: Implement the plan.4. Evaluate: Monitor and measure the results of the plan.The Benefits of Using the 4-Step Method to Solve ProblemsProblem solving is an essential skill in life. It helps us to find solutions to difficult situations and can be applied to almost any area of life. One effective way to approach problem solving is to use the 4-step method. This method is designed to help you analyze a situation, plan an action, execute the plan, and evaluate the results. In this essay, we will discuss the benefits of using the 4-step method to solve problems.
The first step of the 4-step method is to analyze the situation. This involves identifying the problem and its causes. Taking the time to understand the problem before attempting to solve it can help ensure that the solution is effective. By analyzing the situation, you can determine the most effective solution and avoid wasting time and resources on ineffective solutions.
The second step of the 4-step method is to plan an action. This involves developing a plan of action to address the problem. Taking the time to plan ahead can help ensure that the solution is tailored to the specific situation. It can also help to minimize the risk of unexpected problems or delays during the execution of the plan.
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determine whether an observational or experimental study is appropriate to address the following statement. a car wash operator wants to find out if providing a discount for local residents will generate additional revenue.
The statement is "a car wash operator wants to see if offering a discount to local residents would create a greater income." This is an observational study.
What is observational or experimental study?A method of study in which participants are observed or certain outcomes are measured. There is no attempt made to change the outcome (for example, no treatment is given).
Experimental investigations include introducing an intervention and observing its results. Experimental investigations are frequently randomized, which means that the individuals are assigned to groups at random. People who qualify are randomly allocated to one of two or more groups in a randomized controlled experiment (RCT).
Cohort studies, case-control studies, and cross-sectional studies are the three different kinds of observational research.
In an observational study, the researchers just observe the participants without interfering with them or attempting to sway the results. In other words, neither the researchers nor the individuals are placed in experimental groups or in charge of the therapies.
Thus, the above mentioned statement is an observational study.
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Is AAA a similarity theorem?
It is a AAA similarity theorem If and only if the corresponding sides of two triangles are in proportion, they will have identical corresponding angles.
What is the AAA similarity theorem?According to the fundamental theorem of similarity, a line segment can divide two triangle sides into proportionate segments if and only if it is parallel to the third side of the triangle.
Theorem: Two triangles have identical corresponding angles if and only if their corresponding sides are proportionate.
It can also be rephrased as the AAA (angle-angle-angle) similarity theorem.
A triangle is said to be comparable to another triangle if any two of its three angles are equal to any two of its three angles.
Therefore, it is a AAA similarity theorem If and only if the corresponding sides of two triangles are in proportion, they will have identical corresponding angles.
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Find the height of a standard yield sign when the area is 558 square inches and each side is 36 inches.
The height of the yield sign is 15.5 inches.
The total amount of space allotted to a triangle's three sides in a two-dimensional plane is known as the area of a triangle. The fundamental formula for a triangle's area is A = [tex]\frac{1}{2}*b*h[/tex], which states that the area of a triangle is equal to half the product of its base and height.
To find the height of the yield sign, we need to use the following formula, which is:
area= length*height
The result of substituting in the data we are aware of is:
558=36*h
h= [tex]\frac{558}{36}[/tex]
h= 15.5
Therefore the height of a standard yield sign when the area is 558 square inches and each side is 36 inches is 15.5 inches.
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For what value of A is x 5 a factor of x³ 3x² ax 10?
The value of a is ( x - 5 ) factor of f (x) = x ³ - 3x² + ax -10 is found to be 8 .
What is a factor of an equation ?A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.
There are two methods of finding factors: multiplication and division. In addition, rules of divisibility may also be used.
Let f (x) = x ³ - 3x² + ax -10 be the given polynomial.
By factor theorem, ( x - 5 ) is the factor of f (x) , if f ( 5 ) = 0
Therefore,
f ( 5 ) = 3 ( 5 )² + a ( 5 ) - 10 = 0
125 - 75 + 5a - 10 = 0
5a = -40
a = -8
Hence, a = -8
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The graph of y = is translated. The translation is defined by (x + 1, y – 2).
Which is the graph of the translated image?
A B C D
Answer:
we know that
The rule of the translation is
That means
The translation is units to the right and units down
therefore
the answer in the attached figure
Step-by-step explanation:
How do I solve this?
Given h(x)=3x-5,find h(3)
Answer:
4 is correct
Step-by-step explanation:
What is 2.66666666667 as a fraction?
The fraction 2.666666666667 equals [tex]\frac{8}{3}[/tex] .
A fraction is used to represent a portion/part of something larger. It symbolises the equal parts of the whole. A fraction is comprised of two components the numerator and the denominator. The top number is referred to as that of the numerator, and the bottom number is known as the denominator. The denominator specifies the total number of equal parts in a whole, whereas the numerator describes the number of equal parts taken.
2.666667 to fraction conversion:1. Assume that x = 2.666667 (1)
2. Six is the repeating digit.
To the left of the decimal point, put the repeating digit.
In this instance, multiply the decimal point by 10 to move it one place to the right.
Thus,
(x = 2.666667) * 10
Equation 10x = 26.66667 (2)
4. Take Eq. (1) away from Eq (2)
10x - x = 26.66667 - 2.666667
9x = 24
9 divided by both sides
x = [tex]\frac{24}{9}[/tex] or [tex]\frac{8}{3}[/tex]
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Remember, jed's height is within 3 inches of pablo's height. Describe the solutions in words. Jed can be 67 inches or shorter. At least 67 inches, but at most 73 inches. 73 inches or taller. 67 inches or shorter, or 73 inches or taller.
at least 67 inches, but at most 73 inches if Jed can be 67 inches or
shorter
The inequality in which involves one or more rational expressions is Rational inequality.
What is inequality?
Using the terms greater than, larger than or equal to, less than, or less than or equal to as a declaration of the order connection between two integers or algebraic expressions is known as inequality. Economic inequality comes in many forms, most notably wealth inequality measured by the distribution of wealth and income inequality measured by the distribution of income (the amount of money people are paid) (the amount of wealth people own). There are significant forms of economic inequality amongst various groups of people in addition to economic disparity between nations or states.
An inequality with a rational expression is said to be rational. Inequalities with rational expressions, such as 32x>1, 2xx34, 2x3x6x, and 142x23x, are referred to as rational inequalities.
67 ≤ x ≤ 73 are the solutions to the absolute value inequality |x − 70| ≤ 3
the complete question is
What are the solutions to the absolute value inequality |x − 70| ≤ 3? Remember, the inequality can be written as −3 ≤ x − 70 ≤ 3 or as x − 70 ≤ 3 and x − 70 ≥ −3.
Answer: 67 ≤ x ≤ 73
Remember, Jed's height is within 3 inches of Pablo's height.
Describe the solutions in words.
Jed can be
67 inches or shorter.
at least 67 inches, but at most 73 inches.
73 inches or taller.
67 inches or shorter, or 73 inches or taller.
Just found out it's the 2nd choice.
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Answer:
B: at least 67 inches, but at most 73 inches.
Step-by-step explanation:
What is a function example equation?
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output.
Example of Function is f(x) = 2x + 5.
What is a function ?A formula, rule, or legislation that specifies how one variable (the independent variable) and another variable are related (the dependent variable).
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output.
Based on Elements
One One FunctionMany One FunctionOnto FunctionOne One and Onto FunctionInto FunctionConstant FunctionBased on Equation
Identity FunctionLinear FunctionQuadratic FunctionCubic FunctionPolynomial FunctionsBased on the Range
Modulus FunctionRational FunctionSignum FunctionEven and Odd FunctionsPeriodic FunctionsGreatest Integer FunctionInverse FunctionComposite FunctionsBased on the Domain
Algebraic FunctionsTrigonometric FunctionsLogarithmic FunctionsExample of Function is f(x) = 2x + 5.
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Can you use SSA to prove a triangle is congruent?
Yes, you can use the Side-Side-Angle (SSA) Congruence Theorem to prove that two triangles are congruent.
The SSA Congruence Theorem states that if two sides of one triangle have the same length as two sides of another triangle, and the included angle in the first triangle is congruent to the included angle in the second triangle, then the two triangles are congruent.
Here is an example of how you can use the SSA Congruence Theorem to prove that two triangles are congruent:
Let's say you have two triangles, triangle ABC and triangle DEF. You are given that the length of side AB is equal to the length of side DE, the length of side AC is equal to the length of side DF, and angle A is congruent to angle D.
To prove that triangle ABC is congruent to triangle DEF, you would need to show that all of the corresponding parts of the triangles are congruent. Since the lengths of two sides (AB and DE) and the included angle (angle A and angle D) are congruent, you can use the SSA Congruence Theorem to conclude that triangle ABC is congruent to triangle DEF.
It's worth noting that the SSA Congruence Theorem is not always sufficient to prove that two triangles are congruent. If the conditions of the theorem are not met, you may need to use other methods, such as the ASA Congruence Theorem or the HL Congruence Theorem, to prove congruence.
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How many solutions has the linear equation 3x 2y 5?
In this given equation, any value of x and y will work, which will cause it to have infinite number solutions
What is an equation?
An equation is a mathematical statement showing that two or more values or mathematical expressions are equal or equivalent.
We represent an equation with the equation symbol (=).
Given the equation:
3x + 2y = 5
The lineear equation has infinitely many solutions
We know the standard form of a linear equation is:
ax + by = C
In this given equation, any value of x and y will work, which will cause it to have infinite number solutions
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What is the 4 type of polynomial?
Answer:
Binomial,Trinomial,Monomal,Linear equation
Step-by-step explanation:
What are the 3 types of solutions when graphing a system of equations?
Answer:
infinite, no solutions, and uniquely solution
Step-by-step explanation:
How do you find the value of X step by step?
Bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Now, According to the question:
The algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Standard Equation
The standard form to find the value of X in multiplication operation is
Multiplicand × Multiplier = Product
Let us take Multiplier as x,
Multiplicand × x = Product
Then the formula to find the value of x is
X = product / Multiplicand
Example of how to find the value of x.
Find the value of x for the given expression: 10x = 50
Given: 10x = 50
X = 50/10
X = 5
Therefore, the value of x is 5.
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The ratio in the table for ditance covered in meter to time taken in hour i contant. Let d = ditance covered in 15 hr. Let t = time taken to cover 8 m. Which table how the correct value for t and d? A. B. C. D
The table that shows the correct t and d values is
Distance Covered (m) Time Taken (hr)
8 6
32 15
How to determine the correct values for t and d
The table of values is given as:
Distance Covered (m) Time Taken (hr)
8 6
16 12
32 15
48 18
The distance covered in 15 hours is 32 m and the time taken to cover 8 m is 6 hours
When these values are extracted, we have:
Distance Covered (m) Time Taken (hr)
8 6
32 15
The above represents the table that shows the correct t and d values
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please help me with the ratio
Answer:
total number of votes = 5696
Step-by-step explanation:
the 5 part of the ratio relates to 3560 no votes , then
3560 ÷ 5 = 712 ← value of 1 part of the ratio , then
3 × 712 = 2136 ← number of yes votes
total number of votes = yes + no = 2136 + 3560 = 5696
Identify the number fo zeros for each function. Show your work.
1. P(x)=x³+2x²-12x+1
2.P(x)=2x⁵-5x+10
3.P(x)=3x⁴+2x
The number of zeros for each function is given as follows:
1. Three zeros.
2. One zero.
3. Two zeros.
How to obtain the number of zeros for each function?The number of zeros for each function is obtained looking at the graph of the function, counting the number of times that the function either touches or crosses the x-axis, which is the horizontal axis.
Thus the graph for each function is plotted, using a graphing calculator, as shown by the image at the end of the answer, and the number of zeros for each of the functions is given by the number of times that the function touches or crosses the x-axis.
The colors of each function are given as follows:
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What is a slope grade 11?
In grade 11 math, the slope is a concept that is typically introduced in the study of linear equations and graphing.
The slope of a line serves as a gauge for its steepness. It is defined as the change in y (the vertical distance) divided by the change in x (the horizontal distance) between two points on the line.
A line's slope might be zero, positive, negative, or undefinable. A line with a positive slope rises as it goes from left to right, while a line with a negative slope falls as it goes from left to right. A line with a slope of zero is horizontal, while a line with an undefined slope is vertical.
The slope is often represented by the letter m in the equation of a line, which is written in the form y = mx + b. The slope of the line is the coefficient of the x term (the m in the equation).
For example, the slope of the line represented by the equation y = 3x + 4 is 3, while the slope of the line represented by the equation y = -2x + 1 is -2.
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5+2 x 3². for this question I have put 16 but apparently it’s incorrect
Answer:
23
Step-by-step explanation:
Given in the picture below (BODMAS rule is applied)
I hope my answer helps you
Answer:
23
Step-by-step explanation:
5 + 2 x 3² = (remember PEMDAS)
5 + 2 x 9 =
5 + 18 =
23
Hana i planning a park day for the next month to give her friend ome exercie! The local park open it path for biker every 12 day and open it’ lake for paddling every 8 day. Today, both the biking and paddling option are open. Which two number entence will help Hana pick the next date where both the bike lane and lake padding will be open?
If a local park is open for biking every 12 day open for paddling every 8 day and if today the park is open for both options, then the next date when the park will be open will be on the 24th day. So Hana should pick 24th day from today next.
Every 12 day the local park is open its path for biking and every 8 day they open their lake or paddling. That is in every multiple of 12 days the biking option is available and every multiple of 8 days the paddling option is available.
If today both the biking and paddling option are open, then the next day where both options will be open can be determined by calculating the least common multiple of 12 and 8.
12 = 2×2×3
8 = 2×2×2
LCM (12, 8) = 2×2×2×3
LCM(12, 8) = 24
LCM of 12 and 8 is 24. So 24 days from today, the park will be open for both options.
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using the standard From of the quadratic Function y=-3x²-12x-9
The standard From of the quadratic Function is (−2,3).
What is the standard From?y=-3x²-12x-9
Find the given parabola's characteristics.
To continue, tap...
Opens down in the direction of ( 2, 3), with
( -2, 35 /12) as the focus.
x = 2 is the symmetry axis.
The directrix is y = 37 /12
By entering a few x values into the equation, you may get the associated y values. You should choose the x values close to the vertex.
To continue, tap...
x y − 4 − 9 − 3 0 − 2 3 − 1 0 0 − 9
Using the chosen points and the parabola's attributes, draw the curve.
Opens downward in direction
Focus: ( 2, 35 12) Vertex: ( 2, 3)
x = 2 is the symmetry axis.
The following directrix: y = 37 12 x y 4 9 3 0 2 3 1 0 0 9.
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I need help describing this, I forgot how to find all of it
The (a) Hole in the expression is x, (b) The vertical assumption is -10 and (c) the horizontal assumption is that the denominator is greater than the numerator.
How to find Hole, vertical and horizontal assumptions?You should know that a hole occurs if there is a common term between the the numeration and the denominator when factorized, For vertical assumption, the denominator must be equal to zero and horizontal assumption, numerator will be equal to denominator
The given expression is:
[tex]\frac{x^{2}-2x }{x^{3}-9x^{2} -10x }[/tex]
The Hole is
Factorize the numerator= x²-2x
x is common in the expression
x(x-2)
Factorize the denominator= x³-9x²-10x
x(x²-9x-10)
= [x²-10x+x-10]
x[(x²-10x)+(x-10)]
Simplify further to get
x[x(x-10)+1(x-10)]
=x[(x+1)(x-10)]
Combine numerator and denominator to see the hole
[tex]\frac{x(x-2)}{x(x+1)(x-10)}[/tex]
From the expression the hole is x
b. vertical assumption
The denominator =0
x³+9x²-10x=0
Differentiate to have
dy/dx= 3x²-18x-10
2nd order derivative is
d2y/d2x=6x-18
Applying limit as x approaches 0
6x-10
Therefore x=-10
c. horizontal assumption the numerator is less than the denominator
x²-2x<x³-9x²-10x
In conclusion, the Hole in the expression is x, The vertical assumption is -10 and the horizontal assumption is that the denominator is greater than the numerator.
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• Question 2
In the graph of an inequality, the region below the dashed horizor
What inequality does the graph represent?
The linear inequality represented by the graph is given as follows:
y < 1/4x + 2.
How to define the inequality?The dashed line is a linear function, hence the slope-intercept format of the inequality is given as follows:
y < mx + b.
(the sign is < because the line is dashed and not solid).
In which the coefficients are given as follows:
m is the slope, representing the rate of change of the linear function.b is the y-intercept, representing the value of y when the graph of the linear function crosses the y-axis.The line crosses the y-axis at y = 2, hence the intercept b is given as follows:
b = 2.
When x = -8, y = 0, thus when x increases by 8, y increases by 2, meaning that the slope is given as follows:
m = 2/8
m = 1/4.
Thus the inequality is given as follows:
y < 1/4x + 2.
Missing InformationThe graph of the linear inequality is given by the image shown at the end of the answer.
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Create a formula without a function that adds 14 days to the date the client was last contacted.
The Excel formula to enter in cell H4 is = (G4 + 14)
Excel formulas are expressions used to perform computation.
To determine the formula:
From the question,
The date the client was last contacted is in cell G4
14 days is to be added to the content of cell G4
So, the formula is:
G4 + 14
Add bracket
(G4 + 14)
Excel formulas begin with the equality (=) sign
So, we have:
= (G4 + 14)
Hence, the formula to enter the cell H4 is = (G4 + 14)
Complete question:
In the cell, H4 creates a formula without a function that adds 14 days to the date the client was last contacted cell G4
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Excel formulas are expressions used to perform computation.
The date the client was last contacted is in cell G4
14 days is to be added to the content of cell G4
So, the formula is:
G4 + 14
Add bracket
(G4 + 14)
Hence, the formula to enter the cell H4 is = (G4 + 14)
In the cell, H4 creates a formula without a function that adds 14 days to the date the client was last contacted cell G4
shawna reads a study about exercise that includes the following scatterplot. which answer choice correctly indicates the explanatory variable and the response variable? a.) explanatory variable: exercise response variable: calories burned per minute b.) explanatory variable: weight response variable: exercise c.) explanatory variable: weight response variable: calories burned per minute d.) explanatory variable: calories burned per minute response variable: weight
Shawna finds The correct answer as "explanatory variable: weight response variable: calories burned per minute."
In this scatterplot, the explanatory variable is the weight of the individuals and the response variable is the number of calories burned per minute. The explanatory variable is the variable that is being manipulated or tested in the study, while the response variable is the variable that is being measured or observed.
In this case, the study is examining the relationship between weight and calories burned per minute, with weight being the explanatory variable and calories burned per minute being the response variable. The other answer choices do not correctly identify the explanatory and response variables in the scatterplot.
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How to find the height of a pyramid using Pythagorean Theorem?
The Pythagorean Theorem states that because a pyramid's height, slant height, and apothem form a right triangle with slant height as its longest side: (apothem)² + (height)² = (slant height)².
Define the term pyramid?A pyramid is a three shape having a base that is a polygon and triangular sides that come together at the apex, which is located directly just above center of the base.
The distance here between center of the base as well as the apex of a pyramid is its height. The distance between the apex and one of the base's sides is its slant height. The distance between both the center of the base and one of the base's sides is its apothem.Let's start by taking a look at a pyramid with both the height, slant height, the apothem shown in order to demonstrate how to use the Pythagorean Theorem to get a pyramid's height.
a² + b² = c².
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The formula for the area of a trapezoid is A = ½h(b₁ + b₂), where h is the height
and b₁ and b2 are the two bases. Rewrite the formula to solve for h in terms of A, b₁
and b₂.
Step-by-step explanation:
that means that we need to transform the equation so that we get a form
h = ...
A = ½h(b1 + b2) | multiply both sides by 2
2A = h(b1 + b2) | divide both sides by (b1 + b2)
2A/(b1 + b2) = h
that's it.
keegan bought 5 T-shirts and 2 pairs of shoets for $49.50. Each pair of shorts, s, cost twice as much as each T-shirt, t.
Part A
Which system ot equations can vevused to find the price of the shorts and t-shirts?
(use attachment)
Part B
how much did keegan pay for each t-shirt and each pair of shorts?
Part A
Adding the costs, [tex]2s+5t=49.50[/tex].
Since a pair of shorts costs twice as much as a T-shirt, [tex]s=2t[/tex].
The correct answer is option 3.
Part B
[tex]2(2t)+5t=49.50 \\ \\ 9t=49.50 \\ \\ \boxed{t=5.50} \imploes \boxed{s=11}[/tex]
which rule must be used to find the number of strings of four decimal digits that have exactly three digits that are 9s?
The product rule must be used to find the number of strings of four decimal digits, that have exactly three digits that are 9s.
What is product rule ?
The Product Rule says that the derivative of a product of two functions is the first function times the derivative of the second function plus the second function times the derivative of the first function.
To obtain the number of strings of 4 decimal digits that have exactly 3 digits that are 9s ; we use the product rule,
In first digit 1 possible way between 0 to 9
In second digit 1 possible way between 0 to 9
In third digit 1 possible way between 0 to 9
In fourth digit 9 possible ways between 0 to 9
That's mean 1 * 1* 1* 9* 4 = 36
Thus 36 possible ways.
The product rule must be used to find the number of strings of four decimal digits.
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