La respuesta es,
[tex]2 \frac{3}{4} [/tex]
write the equation for a cubic function that has been shifted up 2 units and left 10 units.
The polynomial f''(x) = 3 · (x + 10)³ + 2 · (x + 10)² - 4 · (x + 10) + 11 represents a cubic function equal to polynomial f''(x) = 3 · (x + 10)³ + 2 · (x + 10)² - 4 · (x + 10) + 11 shifted up two units and left ten units.
How cubic functions are modified by means of translations
Cubic equations are polynomials of grade 3, whose form is shown below:
y = a · x³ + b · x² + c · x + d
Where:
x - Independent variable.y - Dependent variable. a, b, c, d - Real coefficients.In this problem we need to apply horizontal and vertical translations to modify a given cubic polynomial:
Horizontal translation
f(x) → f(x - k)
Where k > 0 for a rightward translation.
Vertical translation
f(x) → f(x) + k
Where k > 0 for a upward translation.
First, assume a given cubic function:
(a, b, c, d) = (3, 2, - 4, 9)
f(x) = 3 · x³ + 2 · x² - 4 · x + 9
Second, apply a vertical translation two units up: (k₁ = 2)
f'(x) = 3 · x³ + 2 · x² - 4 · x + 9 + 2
f'(x) = 3 · x³ + 2 · x² - 4 · x + 11
Third, apply a horizontal translation ten units left:
f''(x) = 3 · (x + 10)³ + 2 · (x + 10)² - 4 · (x + 10) + 11
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this figure is made from part of a circle and part of a square. what is the perimeter of this figure, to the nearest unit? what is the area of this figure, to the nearest square unit?
illustrative math grade 7 unit 3 end of unit assessment B
The perimeter of this figure, to the nearest unit, is 21.9 units, and the area of this figure, to the nearest square unit is 62.53 square units.
What is a square?
It is defined as a two-dimensional geometry that has four sides and four vertices. The sides of the square are equal in length. It is a regular quadrilateral.
We have a figure shown in the picture made with squares and circles.
To find the perimeter of the figure.
First, calculate the circumference of the circle portion.
The circumference of the 1/4 circle = (1/4)2πr
The radius of the circle r = 5 units
The circumference of the 1/4 circle = (1/4)2π(5)
The circumference of the 1/4 circle = 7.85 units
The perimeter of the figure = 2 + 5 +7.85 + 2+ 5
The perimeter of the figure = 21.85 units ≈ 21.9 units
The area of the figure = area of the square - an area of the square(5×5) +
area of the 1/4 circle
The area of the figure = 3×3 - 5×5 + π(5)²
The area of the figure = 9 - 25 + 78.53
The area of the figure = 62.53 square units
Hence, the perimeter of this figure, to the nearest unit is 21.9 units, and the area of this figure, to the nearest square unit is 62.53 square units.
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what rule about overtime does the fair labor standards act establish?
Answer: The Fair Labor Standards Act (FLSA) establishes a rule about overtime that requires covered employers to pay their employees a premium rate for any hours worked over 40 in a workweek. The premium rate is one and a half times the regular rate of pay for the employee. This overtime rule applies to all non-exempt employees, meaning those who are eligible for overtime pay.
from the choices below, choose an expression that is equivalent to this expression: 22/-4
An equivalent expression of the expression 22/- 4 is,
⇒ - 11/2
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
We have to given that;
The expression is,
⇒ 22/-4
Now, We can simplify as;
⇒ 22 / - 4
⇒ - 22/4
⇒ - 11/2
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An ice rink charges hockey teams for ice time to practice. The ice rink charges $10 for the first hour
and $12 for each additional hour. Write a function that represents the charges for up to 5 hours.
The function that represents the charges is [tex]t_{n}=[/tex] 10 + (n- 1 )12
What is the function representing the charges ?Here, let us apply Arithmetic sequence Let the charges for the first hour = a = $10 Let the common difference = d = $12The formula for the nth term is given by
[tex]t_{n}=[/tex] a +(n-1)d
The function that represents the charges is given by,[tex]t_{n}=[/tex] a +(n-1)d
[tex]t_{n}=[/tex] 10 + (n- 1 ) 12
a ) First hour
n = 1
[tex]t_{1 }=[/tex] 10 + (1- 1 ) 12
= 10
b ) Second hour
n = 2
[tex]t_{2 }=[/tex] 10 + (2- 1 ) 12
= 10 + 12
= 22
c ) Third hour
n = 3
[tex]t_{3}=[/tex] 10 + (3- 1 ) 12
= 10 + 24
= 34
d ) Fourth hour
n = 4
[tex]t_{4 }=[/tex] 10 + (4- 1 ) 12
= 10 + 36
= 46
e ) Fifth hour
n = 5
[tex]t_{4 }=[/tex] 10 + (5- 1 ) 12
= 10 + 48
= 58
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What do I put in an excel sheet for this info?
A. Owner invested $15, 000 cash in the company
B. The company purchased supplies for $500 cash
C. The company purchased $10,000 of equipment on credit. The credit was given based on a written note stating the terms of payment
D. The company purchased $200 of additional supplies on credit
E. The company purchased land for $9,000 cash
F. The company received $7000 cash for plowing service provided to JMD company
G. The company paid $600 for rent; $250 for utilities
H. The company provided $9500 plowing service to MMJ on credit
I. MMJ paid $9500 for the service received
J. The company paid $5000 on the notes payable for the equipment purchased on credit
This information can be entered into an Excel sheet by creating columns for each item (A-J) and entering the corresponding values in the corresponding cells.
What are the purpose of excel sheet? Excel is a powerful spreadsheet application used to create, edit, format, and calculate data. It is used by businesses, financial institutions, and individuals for a wide range of tasks. Excel is commonly used to organize, store, and analyze data. It can be used to create charts and graphs, build financial models, and perform complex calculations. Excel can also be used to track and manage large amounts of data.Excel sheets are used to organize, store, and analyze data. They can be used to create tables, perform calculations on data, and generate graphs and charts. Excel can also be used to create automated workflows that allow users to quickly access data, perform calculations, and generate reports. Excel can be used to easily summarize and compare data from multiple sources. It can also be used to create complex formulas that perform calculations and generate results. Excel is often used to analyze trends over time and determine correlations between different data sets. Excel is also used to create complex formulas that can be used to automate tasks, such as forecasting and budgeting.
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9 Math on the Spot Lena wants
to put the elephant stickers in
an album. She says she will use
more pages if she puts 5 stickers
on a page instead of 10 stickers
on a page. Is she correct?
Explain.
Yes, Lena is correct she will use less pages if she puts 10 stickers(Square type) per page.
what are squares?
A square is a two-dimensional plane figure with four equal sides and all four angles are equal to 90 degrees. The properties of the rectangle are somewhat similar to a square, but the difference between the two is, a rectangle has only its opposite sides equal. Therefore, a rectangle is called a square only if all its four sides are of equal length.
The most important properties of a square are listed below:
All four interior angles are equal to 90°.All four sides of the square are congruent or equal to each other.The opposite sides of the square are parallel to each other.The diagonals of the square bisect each other at 90°.The two diagonals of the square are equal to each other.The square has 4 vertices and 4 sides.The diagonal of the square divides into two similar isosceles triangles.The length of diagonals is greater than the sides of the square.Area of square=(side)²
Perimeter of square=4*side
Now
As if there is space left on page after putting 5 square type stickers then the area that is left on rectangular pages will be wasted if we do not use that space.
So, Lena is correct she will use less pages if she puts 10 stickers/page.
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The table below shows the ratio of materials in a composting container.
Brown Material (gallons) 12.75 18.6 24 E
Green Material (gallons) 4.25 B D 11.5
Total (gallons) A C 32 46
If Jeremy needs 64 gallons of compost to plant his garden in the spring, how much brown material will he need? How much green material will he need?
The amount of Brown material: 39 gallons and Green material: 13 gallons.
What is a proportion?A proportion is a fraction of a total amount, and in problems involving it, basic arithmetic operations such as multiplication or division are used along with the unit rates to find the equivalent measures.
On the first column of the table, the total amount is:
12.75 + 4.25 = 17 gallons.
The fractions of each material are given as follows:
Brown material: 12.75/17 = 0.75
Green material: 4.25/17 = 0.22.
Therefore, the amount of brown material needed with 52 gallons is:
0.75 x 52 = 39 gallons.
The amount of green material needed with 52 gallons is:
0.25 x 52 = 13 gallons.
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A garage charges $55 per tire and $30 per hour of labor. If you need two tires and it takes half an hour to install, how much do you pay?
Answer: $125
Step-by-step explanation:
$55 per tire (2)
$30 per hour of labor (0.5)
$55(2)+30(0.5)=$125
Answer:
$125
Step-by-step explanation:
2 tires =$110 ($55 each tire)
half an hour of labor=$15
*
01/10
Probability=
Permutation Formula
n!
(n-r)!
nPr =
Number of Favorable Outcomes
Total Number of Outcomes
Combination Formula
n!
(n-r)!r!
nCr
=
1 po
A bucket contains the names of 10 people including you and your friend.
If 2 names are randomly selected find the probability the first name
selected is yours and the second name selected is your friend's name.
The probability of the first name selected is yours and the second name selected is your friend's name is 1/100 or in ratio 1:100.
What is probability?Probability is the branch of mathematics that studies how random events turn out. In mathematics, the term "probability" is used to describe chance or potential outcomes. It makes it clear how likely it is that a certain outcome will occur. The phrases "It will likely rain today," "He'll mostly pass the test,"
"There's not much chance of getting a storm tonight," & "The price of onions will probably go up again" are common phrases. Instead of words like possibility, uncertainty, perhaps, likely, etc., the word probability is used in each of these sentences.
Probability, in its simplest form, can be defined as the capacity to forecast an outcome based on the variety and quantity of possible outcomes or by examining historical data.
The probability of first name selected is yours is = 1/10
The probability of 2nd name selected is yours is = 1/10
The probability of selecting your name and your friend name consecutively
= 1/10 * 1/10
= 1/100
Thus, the probability of the first name selected is yours and the second name selected is your friend's name is 1/100.
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What is the distance between the y intercepts of the functions below?
333 integers, there are 333 integers between 1 and 1,000 which are divisible by 3, by divisibility test.
what is divisibility test?The divisibility rule is a concise and practical approach to check, often by looking at the integer's digits, whether a given integer is divisible by a given set divisor without actually executing division. Without actually doing the division procedure, you may quickly discover if a given number can be divided by a defined divisor using the divisibility test. When dividing two numbers exactly, the quotient must be an integer and the remainder must be zero.
here
add all the numbers,
1 + 2+ 3 + 4+ 5 = 15
and 15/3 = 5
so it is divisible by 3
not by 9
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On solving the provided question, we can say that from the graph, we have y-intercept of f(x); f(x) = 2(3)°; f(x) = 2 = (0, 2), y-intercept of g(x) = g(x) = (0, 3) so Distance = (3,-2)
What is graphs?Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle
from the graphs, we have
y-intercept of f(x)
f(x) = 2(3)°
f(x) = 2
(0, 2)
y-intercept of g(x)
g(x) = (0, 3)
Distance
(3,-2)
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a medication is to be given to a patient at a rage of 2.8 mg for every 40 lb of body weight. how much medication should be given to a patient who weigh 190lb
13.3 mg should be given to a patient who weighs 190lb.
What is the unitary method?
The unitary method determines the value of a unit and then the value of the required number of units.
Assume you go to the market to buy six apples. The shopkeeper informs you that he is selling ten apples for Rs one hundred. The apples are the units in this case, and the cost of the apples is the value. It is critical to recognise the units and values when using the unitary method to solve a problem.
Given that a patient weighs 40 lb, then he needs 2.8 mg of medication.
Now find how much medication is required for a patient whose weight is 1 lb.
Apply unitary method:
A patient weighs 1 lb, then he needs 2.8/40 mg of medication.
Now find how much medication is required for a patient whose weight is 190 lb.
A patient weighs 190 lb, then he needs (2.8×190)/40 mg of medication.
= 13.3mg
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State whether the equation is an identity, a conditional equation, or an inconsistent equation. 8 = (x +6) = 9 +8x
The given equation is inconsistent equation.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Identity equations are those equations which are satisfied for every values of the variables.
Conditional equations are those which is only true for some values.
Inconsistent equations are those which does not have a solution.
Given equation is,
8 (x + 6) = 9 + 8x
8x + 48 = 9 + 8x
8x - 8x = 9 - 48
0 = -39
There is no solution for the variable x. So it is inconsistent equation.
Hence the equation is inconsistent.
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how to solve 98,060 x 4
The value of 98,060 × 4 = 392240.
Distributive Property of Multiplication:
The distributive property of multiplication states that when we multiply a number by the total of two or more addends, the outcome is the same as when we multiply the number by each addend separately.
The sum and difference of two more numbers are both subject to the distributive property of multiplication.
According to the Distributive Property of Multiplication:
(A + B)C = AC + BC
Here we have
98,060 × 4
As we know 98060 = (98000 + 60)
= (98000 + 60) × 4
= (98000 × 4) + (60 × 4) [ ∵ (A + B)C = AC + BC ]
= 392000 + 240
= 392240
Therefore,
The value of 98,060 × 4 = 392240.
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Rewrite the ratio 15:42 as an equivalent ratio of the form 1:n.
Equalizing ratios refer to two ratios with the same value.Multiply or divide both values by the same number to arrive at an equivalent ratio. The ratio 1: 3.5 will be the equivalent of the ratio 8: 28.
What does ratio mean?A ratio shows how many of one number there are of another.Two numbers are expressed as x: y, which is equivalent to x/y, to represent their ratio.
where each of the two variables, x and y, is a separate quantity.Additionally, the combined total is given as x + y.
Knowing that;
is the ratio;
8 : 28
And the ratio has the following equivalent form: 1: n.
Now,
The ratios 8: 28 and 1: n are identical, thus.
in order to formulate;
8 : 28 = 1 : n
Calculate n as;
8 / 28 = 1 / n
n = 28 / 8
n = 3.5
As a result, 1: 3.5 will be the ratio that the ratio 8: 28 corresponds to.
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A factory sells backpacks for
$
40.00
$40.00 each. The cost to make
1
1 backpack is
$
10.00
$10.00. In addition to the costs of making backpacks, the factory has operating expenses of
$
12
,
000
$12,000 per week. The factory's goal is to make a profit of at least
$
980
$980 each week. Which inequality represents the number of backpacks,
x
x, that need to be sold each week for the factory to meet this goal? How many backpacks must the factory sell to meet its weekly goal?
Select the inequality that represents this situation and select the correct statement.
The inequality which represents the number of backpacks need to be sold is 40x - (10x + 12,000) ≥ 980. Factory should sell at least 433 backpacks in a week.
What are Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Selling price of 1 backpack = $40
Cost to make 1 backpack = $10
Operating expense per week = $12,000
Let x be the number of backpacks which are sold in a week.
Total revenue per week = 40x
Total expense per week = 10x + 12,000
Profit = Revenue - Expense
= 40x - (10x + 12,000)
Factory's goal is to make a profit of at least $980 each week.
40x - (10x + 12,000) ≥ 980
This is the inequality that represents the number of backpacks need to be sold.
Solving the inequality,
40x - (10x + 12,000) ≥ 980
40x - 10x - 12,000 ≥ 980
30x ≥ 980 + 12,000
30x ≥ 12,980
x ≥ 432.67 ≈ 433
Hence factory must at least a total of 433 backpacks to meet it's weekly goal of $980.
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To show how many cars each different size ferry can hold, which type of graph would you use? Scatter graph or Bar Graph
Answer:
bar graph
Step-by-step explanation:
what is the value of 6 in 618,923
For the following two numbers, find two factors of the first number such that their product is the first number and their sum is the second number.
40,13
Answer: For the first number 40, one possible set of factors that have a product of 40 and a sum of 13 is (1,40) or (40,1) . Because 1*40=40 and 1+40 = 41
We can not have any other pair whose product is 40 and sum is 13 as it is not possible for any pair of factors of 40 to sum up to 13 as the only pair is (1,40) or (40,1) and their sum is 41
Step-by-step explanation:
How do you find the missing sides of the right triangle.
The right triangle having the hypotenuse has x = 17.88.
What is right triangle?Since a right triangle's three interior angles always add up to 90 degrees and a triangle's three interior angles always add up to 180 degrees, the other two interior angles must also always add up to 90 degrees (they are complementary).
Hypotenuse refers to the side across from the right angle. The legs are the sides extending from the right angle. If applying the Pythagorean Theorem, the hypotenuse or its length is frequently denoted with a lowercase c. A and B are typically used to denote the legs' lengths.
Using trigonometry rule
Cos 33° = 15/x
x = 17.88
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ANYONE GOOD AT MATH! PLEASE HELP WILL GIVE BRAINLIEST!
Answer:
(f+6) (x)= x^3+3x^2+1 / x2
Step-by-step explanation:
What is the slope of the following linear function?
Answer:
slope = - 1
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A (0, 2 ) and (x₂, y₂ ) = B (2, 0 )
m = [tex]\frac{0-2}{2-0}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1
The closing stock price of MNM Corporation for the last 7 trading days is shown below.
Day Stock Price
O 84
O 87
O 84
O 88
O 85
O 90
O 91
The mode is
The mode is 2.
The mode is the value that appears often in a set of data values.
The mode is a way of expressing, in a single number, important details about a random variable. The numerical value of the model is the alike as that of the mean and median in a normal distribution, and it may be very different in highly skewed distributions.
Given Data :
84, 87,84,88,85,90,91
First, arranging the data in ascending order :
84, 84, 85, 87, 88, 90,91
Now, we have to find how many times this number occurs :
⇒ 84 occurs 2 times
⇒ 85 occurs 1 time
⇒ 87 occurs 1 time
⇒ 88 occurs 1 time
⇒ 90 occurs 1 time
⇒ 91 occurs 1 time
So, the mode is 2.
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A rectangle has a length of 2X +4 and a width of X -7 what is the value of X if the perimeter of the rectangle measures 48
Answer:
Step-by-step explanation:
2(2x + 4) + 2(x-7) = 48
4x+8 +2x-14=48
6x-6 = 48
6x = 48+6
6x = 54
x = 54/6
x = 9
rearranging formulae make x the subject y=x+2
The rearranged formulae with x as the subject is x=y-2
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here:
y=x+2
rearranging we get
x=y-2
Hence, The rearranged formulae with x as the subject is x=y-2
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Solve for q
1/p + 1/q= -1/f
where p + q = 3 and f=5
Please actually answer this for me please will mark brainiest
Answer:
[tex]\dfrac{155}{18} \pi \textrm{ cm}[/tex]
Step-by-step explanation:
This problem asks us to find the length of an arc ACB on the circumference of a circle with center O and a radius of 5 cm.
We first must solve for the total circumference (perimeter) of the circle. This is represented by the formula C = 2πr. Hence, the circumference of this circle is:
C = 2π(5) cm
C = 10π cm
Next, we have to find what fraction of 360º the major arc ACB is in order to deduce how much of the circle's total circumference the arc takes up.
[tex]\dfrac{(360 - 50)\textdegree}{360\textdegree} = \dfrac{31}{36}[/tex]
Finally, we can multiply the amount of circumference that arc ACB takes up by the length of the whole circumference to get the length of arc ACB.
[tex]\textrm{Length of arc } ABC = \dfrac{31}{36} \cdot 10\pi[/tex]
[tex]= \dfrac{310}{36} \pi[/tex]
[tex]= \dfrac{155}{18} \pi \textrm{ cm}[/tex]
Answer:
[tex]\textsf{Length of major arc $\overset{\frown}{ACB}$}: \;\; \boxed{\dfrac{155}{18}\pi\; \sf m}[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{6.4 cm}\underline{Arc length}\\\\Arc length $= \pi r\left(\dfrac{\theta}{180^{\circ}}\right)$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $\theta$ is the angle measured in degrees.\\\end{minipage}}[/tex]
Angles around a point sum to 360°. Therefore:
[tex]\begin{aligned}\implies m \angle BOA&=360^{\circ}-m \angle AOB\\&=360^{\circ}-50^{\circ}\\&=310^{\circ}\end{aligned}[/tex]
Therefore, the given values are:
r = 5 mθ = m∠BOA = 310°To find the length of the major arc ACB, substitute the given values into the arc length formula:
[tex]\begin{aligned}\implies \overset{\frown}{ACB}&=\pi \cdot 5 \cdot \left(\dfrac{310^{\circ}}{180^{\circ}}\right)\\\\&=5\pi \cdot \dfrac{31}{18}\\\\&=\dfrac{155}{18}\pi\; \sf m\end{aligned}[/tex]
Factor completely x² - 7x + 18.
Prime
(x-9)(x-2)
(x-9)(x+2)
(x + 9)(x+2)
Factor of x ^2+7x−18 is (x−2)(x+9)
What is factorization?
In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
We are given a polynomial expression in terms of variable x as:
x² - 7x + 18
x ^2+7x−18
=x ^2−2x+9x−18
=x(x−2)+9(x−2)
=(x−2)(x+9)
∴ x ^2+7x−18=(x−2)(x+9)
Hence, Factor of x ^2+7x−18 is (x−2)(x+9)
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Function G is a _____ of function f. G(x)=____x2
Therefore , the solution of transformation of function is Translation shifting the graph of a function up or down, or left or right.
What is the transformation of function?A transformation of a function is a new function that is derived from the original function by applying some mathematical operation. The process of creating a new function from an existing one by applying a mathematical operation is called a transformation.
Here,
There are different types of transformations that can be applied to a function, such as:
Translation: shifting the graph of a function up or down, or left or right.
Reflection: flipping the graph of a function over the x-axis, y-axis, or a line of symmetry.
Stretching or compressing: changing the scale of the graph along the x-axis or y-axis.
Rotation: rotating the graph of a function about the origin.
Function G is a transformation of function f. G(x) = x^2
A transformation of a function is a new function that is derived from the original function by applying some mathematical operation. In this case, function G is derived from function f by squaring the input value. The result is a new function that maps the input value to its square. The notation G(x)= x^2 is a common notation to represent a function and it means that G is a function that takes x as input and returns the square of x as output.
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For a lower-tail test, the p-value in the output from an Excel tool:
Question 5 options:
1)
is correct if the test-statistic is negative.
2)
is the difference from 1.0 if the test-statistic is negative.
3)
is correct if the test-statistic is zero.
4)
is correct if the test-statistic is positive.
For a lower-tail test, a t-statistic that is negative and far from zero would then lead us to favor the alternative hypothesis
An alternative way to conduct a hypothesis test is to again assume initially that the null hypothesis is true, but then to calculate the probability of observing a t-statistic as extreme as the one observed or even more extreme
For a lower-tail test, the p-value is the area under the curve of the t-distribution (with n−1 degrees of freedom) to the left of the observed t-statistic.
Lower-tail tests work in a similar way to upper-tail tests, but all the calculations are performed in the negative (left-hand) tail of the t-distribution density curve
A lower-tail test would result in an inconclusive result for the home prices example (since the large, positive t-statistic means that the data favor neither the null hypothesis, NH: E(Y) = 255, nor the alternative hypothesis, AH: E(Y) < 255).
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