The sample proportions denoted p is given by the formula p =x/n, where x is the number of individuals with a specified character in a sample of n individuals.
In statistics, a Sample proportion, often denoted by P or the Greek letter pi, is a parameter that describes a percentage value related to a population. For example, the 2010 US Census showed that 83.7% of the US population was neither Hispanic nor Latino; the value of 0.837 is the population ratio. In general, the population proportion and other population parameters are unknown. A census can be performed to determine the true value of a population parameter, but it is usually impractical due to cost and time consumption.
Population proportions are usually estimated from unbiased sample statistics obtained from studies or observational experiments. For example, the National Technology Literacy Conference conducted a nationwide survey of 2,000 adults to determine the percentage of economically illiterate adults. Research shows that 72% of the 2,000 adults surveyed did not understand what Gross Domestic Product is. The value of 72% is a sample proportion. The sample proportion is usually denoted p and is denoted p in some textbooks.
According to the Question:
From the text, we have the following highlights.
The parameter involves x and n
n represent the sample, while x is a subset of n.
The parameter is denoted by p
In statistics, the parameter denoted by p is the sample proportion.
And it is calculated using:
P = x/n
Hence, the missing texts are: sample proportion and x/n.
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Quantitative Problem 1t You deposit \( \$ 2,300 \) into an account that pays \( 6 \% \) per year. Your plan is to withdraw this amount at the end of 5 years to use for a down payment on a new car. How
You will be able to withdraw approximately $3,076.32 at the end of 5 years.
To calculate the amount you will be able to withdraw at the end of 5 years, we can use the future value formula for compound interest.
The formula for calculating the future value (FV) of a present value (PV) invested at an annual interest rate (r) for a certain number of years (t) is:
\(FV = PV * (1 + r)^t\)
Given:
PV = $2,300
r = 6% = 0.06 (decimal representation)
t = 5 years
Substituting these values into the formula, we get:
FV = $2,300 * \((1 + 0.06)^5\)
Calculating the expression inside the parentheses:
\((1 + 0.06)^5 = 1.338225\)
Multiplying the present value by this factor:
FV = $2,300 * 1.338225
FV ≈ $3,076.32
Therefore, you will be able to withdraw approximately $3,076.32 at the end of 5 years.
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You deposit $2,300 into an account that pays 6% per year. Your plan is to withdraw this amount at the end of 5 years to use for a down payment on a new car. How much will you be able to withdraw at the end of 5 years? Do not round intermediate calculations. Round your answer to the nearest cent
Solve the equation t=r+7kw attempted this problem 4 times. all recorded score is 0%. unlimited attempts remaining
Answer:
Solving equations requires a systematic approach, attention to detail, and understanding of the underlying principles.
If you attempted the problem four times and all recorded scores were 0%, it suggests that your attempts did not yield the correct solution. To solve the equation t = r + 7kw, we need to have specific values or information about the variables involved. Without any additional details, it is not possible to provide a numerical solution.
To improve your chances of solving the equation successfully, consider the following steps:
Review the equation: Make sure you understand the structure and the relationship between the variables. In this case, t is equal to the sum of r and 7 times the product of k and w.
Check for errors: Review your calculations and ensure there are no mistakes in your algebraic manipulations. Double-check your arithmetic operations and signs.
Seek assistance: If you're having difficulty solving the equation, consider reaching out for help. Consult a teacher, tutor, or someone knowledgeable in the subject matter. They can guide you through the problem-solving process and clarify any misunderstandings.
Practice and persistence: Continue practicing similar equations to improve your problem-solving skills. Persistence and practice are key to mastering mathematical concepts.
Remember, solving equations requires a systematic approach, attention to detail, and understanding of the underlying principles. Keep practicing and seeking assistance, and you will improve your problem-solving abilities over time.
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Answer:
Solving equations requires a systematic approach, attention to detail, and understanding of the underlying principles.
If you attempted the problem four times and all recorded scores were 0%, it suggests that your attempts did not yield the correct solution. To solve the equation t = r + 7kw, we need to have specific values or information about the variables involved. Without any additional details, it is not possible to provide a numerical solution.
To improve your chances of solving the equation successfully, consider the following steps:
Review the equation: Make sure you understand the structure and the relationship between the variables. In this case, t is equal to the sum of r and 7 times the product of k and w.
Check for errors: Review your calculations and ensure there are no mistakes in your algebraic manipulations. Double-check your arithmetic operations and signs.
Seek assistance: If you're having difficulty solving the equation, consider reaching out for help. Consult a teacher, tutor, or someone knowledgeable in the subject matter. They can guide you through the problem-solving process and clarify any misunderstandings.
Practice and persistence: Continue practicing similar equations to improve your problem-solving skills. Persistence and practice are key to mastering mathematical concepts.
Remember, solving equations requires a systematic approach, attention to detail, and understanding of the underlying principles. Keep practicing and seeking assistance, and you will improve your problem-solving abilities over time.
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I need to know what 7x + 3x =
Answer:
10x
Step-by-step explanation:
7+3=10
just add the numbers if x is unknown
hey! if you have time can u solve this for me
Answer:
I'm guessing C
Step-by-step explanation:
I don't think this is the correct way to answer it. But I litterly rotated it in my brain and got 7.5....
help help help helppppp
Answer:
Multiply by 2 on each side
Use distributive property to multiply x by 2 and-3 by 2.
What is 4x(2x-3)-5(3x-4) in standard form
1. According to the podcast, why and how is chicken the reason American trucks dominate the truck market in the United States? Briefly explain. 2. Name two reasons a party (e.g., a politician or an industry association) may want to impose a tariff? 3. Who are they usually trying to protect? Who would be hurt by a tariff on automobiles? Explain. 4. Describe how competition encourages innovation? In your answer to this question, include a discussion on why American trucks "basically stayed the same over the years. 5. Describe ways foreign companies tried to get around American-imposed tariffs on automobiles. 6. Do you think the methods you described in your previous answer are efficient for an economy? Why or why not? 7. Lastly, how can a tariff be used as a bargaining chip? In your opinion, is that a good reason to impose tariffs - why or why not?
1. Chicken became the key product that drove the creation of the Interstate Highway System, which led to the dominance of American trucks in the US truck market.
2. A party may want to impose a tariff to protect domestic industries from foreign competition or to generate revenue for the government.
3. A party is usually trying to protect domestic industries, but a tariff on automobiles would hurt both domestic consumers who would pay higher prices and foreign producers who would face reduced demand.
4. Competition encourages innovation by providing incentives for companies to improve their products and services to stay ahead of their rivals; American trucks stayed the same because they faced little competition due to protectionist policies.
5. Foreign companies tried to get around American-imposed tariffs on automobiles by establishing factories in the US, forming joint ventures with American companies, or exporting through third countries.
6. The methods used to get around tariffs can be efficient in the short term, but they may not be sustainable or desirable in the long term as they can lead to trade imbalances and undermine the competitiveness of domestic industries.
7. Tariffs can be used as a bargaining chip to negotiate better trade deals, but they should be imposed judiciously and only as a last resort to avoid damaging the economy and harming consumers.
1. In the podcast, chicken is cited as the reason why American trucks dominate the truck market in the United States.
This is because in the 1960s, the government imposed regulations on the trucking industry that limited the amount of weight a truck could carry.
To get around these regulations, the industry started using smaller trucks to transport goods, which were often not strong enough to handle the weight.
However, they found that if they put chicken on the back of the trucks, the weight of the cargo would distribute more evenly and the smaller trucks could handle the load.
This led to the development of the modern pickup truck, which is now a staple of the American automobile market.
2. Parties may want to impose tariffs for various reasons, such as to protect domestic industries and jobs from foreign competition, to raise revenue for the government, or to level the playing field in international trade.
Two specific reasons for imposing tariffs could be to protect national security interests or to address unfair trade practices by other countries.
3. Tariffs are usually imposed to protect domestic industries and jobs, and the parties that are being protected are typically the producers of the goods or services in question.
However, tariffs can also harm consumers who may have to pay higher prices for imported goods or may have fewer choices in the marketplace. For example, if a tariff is imposed on automobiles, domestic car manufacturers may benefit, but consumers may have to pay more for cars, and foreign automakers may lose market share.
4. Competition encourages innovation by creating incentives for companies to improve their products or services to gain a competitive advantage.
In the case of American trucks, the lack of competition may have contributed to their lack of innovation over the years. Since they dominated the market, there was little pressure to improve or innovate, and as a result, they have largely stayed the same.
However, the rise of foreign competition in recent years has led American truck manufacturers to invest more in innovation to stay competitive.
5. Foreign companies have tried to get around American-imposed tariffs on automobiles in various ways, such as by moving production to countries not subject to the tariffs, by exporting parts and assembling them in the United States, or by lobbying the government for exemptions or tariff reductions.
6. The methods used by foreign companies to get around tariffs may not be efficient for the economy as a whole because they can lead to higher costs and inefficiencies in the supply chain.
However, they may be necessary for individual companies to remain competitive in the short term.
Ultimately, a more efficient solution would be to address the root causes of the trade imbalances that lead to tariffs in the first place.
7. A tariff can be used as a bargaining chip by threatening to impose tariffs on imports from a country unless they make concessions in trade negotiations.
While this can be an effective strategy in certain situations, it can also lead to a trade war and harm both economies.
In general, tariffs should be used sparingly and as a last resort, and efforts should be made to address underlying trade issues through diplomacy and negotiation.
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given rectangular grid nxm starting at position (x1,y1) you are trying to reach (x2,y2) return number of steps it takes to get there. code signal
Given an infinite grid, initial cell position (x, y) and a sequence of other cell position which needs to be covered in the given order.
The task is to find the minimum number of steps needed to travel to all those cells.
Note: Movement can be done in any of the eight possible directions from a given cell that is from cell (x, y) you can move to any of the following eight positions:(x-1, y+1), (x-1, y), (x-1, y-1), (x, y-1), (x+1, y-1), (x+1, y), (x+1, y+1), (x, y+1) is possible
Examples:
Input: points[] = [(0, 0), (1, 1), (1, 2)]
Output: 2
Move from (0, 0) to (1, 1) in 1 step(diagonal) and
then from (1, 1) to (1, 2) in 1 step (rightwards)
Input: points[] = [{4, 6}, {1, 2}, {4, 5}, {10, 12}]
Output: 14
Move from (4, 6) -> (3, 5) -> (2, 4) -> (1, 3) ->
(1, 2) -> (2, 3) -> (3, 4) ->
(4, 5) -> (5, 6) -> (6, 7) ->
(7, 8) -> (8, 9) -> (9, 10) -> (10, 11) -> (10, 12)
Since all the given points are to be covered in the specified order.
Find the minimum number of steps required to reach from a starting point to next point, then the sum of all such minimum steps for covering all the points would be the answer.
One way to reach from a point (x1, y1) to (x2, y2) is to move abs(x2-x1) steps in the horizontal direction and abs(y2-y1) steps in the vertical direction, but this is not the shortest path to reach (x2, y2).
The best way would be to cover the maximum possible distance in a diagonal direction and remaining in horizontal or vertical direction.
If we look closely this just reduces to the maximum of abs(x2-x1) and abs(y2-y1).
Traverse for all points and summation of all diagonal distance will be the answer.
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find the volume of each figure. tell whether each statement is true or false.
Answer:
true
Step-by-step explanation:
true
find the marked angle of
Answer:
∠ C = 100°
Step-by-step explanation:
since 2 sides of the triangle are congruent then the triangle is isosceles with base angles congruent.
consider the angle inside the triangle to the left of 140°
this angle and 140° are a linear pair and sum to 180°
angle + 140° = 180° ( subtract 140° from both sides )
angle = 40°
then the angle on the left of the triangle = 40° ( base angles congruent )
the sum of the angles in a triangle = 180° , so
∠ C + 40° + 40° = 180°
∠ C + 80° = 180° ( subtract 80° from both sides )
∠ C = 100°
please help i will mark brainliest:3
Answer:
Yes
Step-by-step explanation:
In mathematics, a function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set. Typical examples are functions from integers to integers, or from the real numbers to real numbers.
Answer:
Yes, it is a function.
Step-by-step explanation:
use verticle line test
because every y-value only goes to one x-value it passes a verticle line test and is a function
(06. 03 MC)
Use the expression 5(6 + 4x) to answer the following:
Part A: Describe the two factors in this expression. (4 points)
Part B: How many terms are in each factor of this expression? (4 points)
Part C: What is the coefficient of the variable term? (2 points)
Given expression is: 5(6 + 4x)
Part A: The two factors in this expression are 5 and (6 + 4x).
Part B: There are two terms in the factor (6 + 4x) and one term in the factor 5, so there is a total of two terms in the given expression.
Part C: The coefficient of the variable term is 4.
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2
A small business collected data each month to find out if money spent on advertising
affected the total sales for the company. The table shows the data collected over
several months.
Total Sales
Money Spent on
Advertising ($)
200
250
1,500
1,505
1,600
1,650
260
300
350
1,700
450
1,825
525
1,875
What is the correlation coefficient between money spent and total sales?
Answer:
Step-by-step explanation:
3
(T) or false (F). (1)If f '(c) = 0, then f has a local maximum or minimum at c. (2). If f has an absolute minimum value at c, then f '(c) = 0. (3). If f is continuous on (a, b), then f attains an absolute maximum value f(c) and an absolute minimum value f(d) at some numbers c and d in (a, b). (4). If f is differentiable and f(-1) = f(1), then there is a number c such that | c |< 1 and f '(c) = 0. (5). If f '(x) < 0 for 1 < x < 6, then f is decreasing on (1, 6). (6). If f ''(2) = 0, then (2, f(2)) is an inflection point of the curve y = f(x). (7). If f' (x) = g '(x) for all 0 < x < 1, then f(x) = g(x) for 0 < x < 1.
(1) T: If f'(c) = 0, then f has a local maximum or minimum at c, according to Fermat's theorem. (2) False 3) True 4) True 5) True 6) False 7) False
1) True. This is because when the derivative of a function is equal to zero at a certain point, it indicates that the slope of the function at that point is zero. This can only happen at a local maximum or minimum point.
2) False. Although having an absolute minimum value may suggest that the function has a critical point, it does not necessarily mean that the derivative of the function is equal to zero at that point.
3) True. This is because the Extreme Value Theorem states that a continuous function on a closed interval will have both an absolute maximum and minimum value.
4) True. This is because of the Mean Value Theorem, which states that if a function is differentiable on an interval, then there exists at least one point in that interval where the derivative equals the slope of the secant line connecting the endpoints of the interval.
5) True. This is because a negative derivative indicates a decreasing function.
6) False. Although having a zero second derivative may suggest a possible inflection point, it does not guarantee it. Further analysis is needed to determine if the point is indeed an inflection point.
7) False. While having equal derivatives may suggest that two functions are the same, it is not a sufficient condition. The two functions may differ by a constant.
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just the linked questions, thanks . 8.4 similar triangles unit 8 practice a
The evaluation of the segment formed by the parallel lines using Thales Theorem also known as the triangle proportionality theorem are;
8. \(\overline {ST}\) is parallel to \(\overline{PR}\)
9. \(\overline{ST}\) is parallel to \(\overline{PR}\)
10. \(\overline{ST}\) is not parallel to \(\overline{PR}\)
11. x = 57.6
12. x = 25.8
13. x = 11
14. x = 10
15. x = 5
16. x = 17
What is Thales theorem?Thales Theorem also known as the triangle proportionality theorem states that a parallel line to a side of a triangle that intersects the other two sides of the triangle, divides the two sides in the same proportion.
8. The ratio of the sides the segment \(\overline{ST}\) divides the sides QR and QP of the triangle ΔPQR into are; 7/11.2 = 10/16 = 0.625
Therefore; according to the Thales theorem, \(\overline{ST}\) ║ \(\overline{PR}\)
9. The ratio of the sides the parallel side to the base divides the other two sides are;
33/41.8 = 15/19
45/(102 - 45) = 45/57 = 15/19
Therefore, \(\overline{ST}\) and \(\overline{PR}\) bisects \(\overline{QP}\) and \(\overline{QR}\) into equal proportions and therefore, \(\overline{ST}\) ║ \(\overline{PR}\)
10. The ratio of the sides the segment \(\overline{ST}\) bisects the other two sides are;
24/57 and 19/38
24/57 ≠ 19/38, therefore \(\overline{ST}\) ∦ \(\overline{PR}\)
Second part; To solve for x
11. x/30 = 48/25
x = (48/25) × 30 = 57.6
x = 57.6
12. x/34.4 = (49 - 28)/28
x = 34.4 × (49 - 28)/28 = 25.8
x = 25.8
13. (2·x + 6)/52.5 = 32/60
(2·x + 6) = 52.5 × (32/60)
x = (52.5 × (32/60)) - 6)/2 = 11
x = 11
14. (x - 3)/21 = (x - 1)/27
27·x - 27 × 3 = 21·x - 21
27·x - 81 = 21·x - 21
6·x = 60
x = 60 ÷ 6 = 10
x = 10
15. (35 - 20)/20 = (4·x - 2)/(7·x - 11)
15/20 = (4·x - 2)/(7·x - 11)
15 × (7·x - 11) = 20 × (4·x - 2)
105·x - 165 = 80·x - 40
105·x - 80·x = 165 - 40 = 125
25·x = 125
x = 125/25 = 5
x = 5
16. (x - 3)/35 = 4/(x - 7)
(x - 3) × (x - 7) = 35 × 4 = 140
x² - 10·x + 21 = 140
x² - 10·x - 119 = 0
(x - 17) × (x + 7) = 0
x = 17 or x = -7
Therefore, the possible value of x is 17
x = 17
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Solve for b in the following equation.
- 2 = 4
b = 12
b = 24
b = 36
b = 1
Answer:
B= 36
Step-by-step explanation
I reported the other answers and they got deleted this is the right answer
PLEASE HELP BEEN STUCK ON THIS
Answer: infinitely many solutions
Step-by-step explanation:
The system is only 1 line. So it must be that there are 2 equations that are actually the same so they intersect infinitely many times.
Please help (will mark as brainlest)
Answer:
1)10abc^2+6a^2bc
2)6.6x^2yz-2.8xy^2z+0.5xyz^2
Step-by-step explanation:
A clothing store has a markup of
95% on the wholesale price of shirts.
If the wholesale price of women's
shirts is $25.00, what will be the
retail price?
Answer: Look for a person called mmbutterglyper she will give you your answer she gave me all my answers UwU
Step-by-step explanation:
The temperature of one furnace is 1,200°C and cools at a rate of 15°C per minute. The temperature of another furnace is 900°C and is heated at a rate of 5°C per minute. After how many minutes will the furnaces be the same temperature? Write the answer as a whole number or decimal. __ minute(s)
Step-by-step explanation:
how many cups of water do you need to fill fill one jar
PLEASE HELP ME!!!
Make a table for the function y=x-2 with domain (2,3,4,5,6) graph the function
Answer: Check out the diagram below for the table and graph.
===========================================
Explanation:
The domain is {2,3,4,5,6} which means these are the only allowed x inputs. Nothing else is allowed.
Plug in x = 2 to find that y = x-2 = 2-2 = 0.
Repeat for x = 3 to get y = x-2 = 3-2 = 1
This process keeps going until we go through everything in the domain mentioned. The outputs you should get are: 0, 1, 2, 3, 4 in that exact order.
The table is shown below. Each row represents a different (x,y) pairing and corresponds to a point on the graph.
Do not connect the points with a straight line. This because something like x = 2.5 is not in the domain. This graph is simply a disconnected set of points. It's considered a discrete graph rather than a continuous one.
Pedro buys lunch at school every day. He always gets pizza when it is
available. The cafeteria has pizza about 80% of the time.
Pedro runs a simulation to model this using a random number generator. He
assigns these digits to the possible outcomes for each day of the week:
• Let 0 and 1 = no pizza available
Let 2, 3, 4, 5, 6, 7, 8, and 9 = pizza available
The table shows the results of the simulation.
95032 4715071709 3888994007
350135789072924 19365 47879
What is the estimated probability that Pedro will eat pizza for lunch every day
next week?
O A. 0.0
B. 0.3
OC. 0.4
D. 0.7
Answer is B: 0.3
Reason: in each box, there are 5 digits to represent the 5 days in a week. There’s 10 boxes to represents 10 weeks. In each box there’s a chance out of 5 for Pedro to get pizza. You multiply each days possibly of Pedro getting pizza by each other n get about .26 & round it to .3 - hope that helps! ((:
Answer:0.3 is also 30%
Step-by-step explanation:
Answer:
0.3 is correct, from your screen and mine :)
Step-by-step explanation:
Find the parametric equations for the tangent line to the curve with the given parametric equations at the specified point. V t2 + 3, y = ln(t? + 3), z = t; (2, In 4, 1)
The given parametric equations are given below:v = t² + 3 y = ln(t² + 3) z = tWe have to find the parametric equations for the tangent line to the curve with the given parametric equations at the specified point (2, ln 4, 1).
Explanation:Let (x₀, y₀, z₀) = (2, ln 4, 1) be the specified point.To find the tangent line, we need to find a point and a vector. We already have the point, we can find the vector by taking the derivative of each component of the vector function:(v, y, z) = (t² + 3, ln(t² + 3), t)Differentiating each component we get:(v', y', z') = (2t, (2t / (t² + 3)), 1)Now evaluating the derivatives at t = 2, we get:(v'(2), y'(2), z'(2)) = (4, 4 / 7, 1)Thus the tangent vector is (4, 4 / 7, 1).We can write the equation for the line in vector form as:r = r₀ + t vwhere r₀ is the initial position vector (2, ln 4, 1), v is the direction vector (4, 4 / 7, 1), and t is a parameter.We can write the parametric equation of the line as:(x, y, z) = (2, ln 4, 1) + t(4, 4 / 7, 1)
Multiplying the vector (4, 4 / 7, 1) by t and adding it to the point (2, ln 4, 1), we get the following equation:(x, y, z) = (2 + 4t, ln 4 + (4 / 7)t, 1 + t)The above equation gives the required parametric equations for the tangent line to the curve at the specified point.
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A pool measuring 20 meters by 24 meters is surrounded by a path of uniform
width, as shown in the figure. If the area of the pool and the path combined is
1440 square meters, what is the width of the path?
Answer:
8
Step-by-step explanation:
If the width of the path is x, then the dimensions of the combined area would be (20 + 2x) × (24 + 2x). Since the combined area is given as 1440, we can equate this with the area of a rectangle with these dimensions.
1440 = (20 + 2x)(24 + 2x)
Expand the brackets
1440 = 480 + 88x + 4x^2
Rearrange the equation, moving the 1440 to the other side so that it is equal to zero
0 = 4x^2 + 88x - 960
Divide by 4 as it is a common factor
0 = x^2 + 22x - 240
Use the quadratic formula
For an equation of the form 0 = ax^2 + bx + c, the quadratic formula is:
\(x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} \)
\(x = \frac{ - 22 \pm \sqrt{ {22}^{2} - 4 (1)( - 240)} }{2(1)}\)
\(x = \frac{ - 22 \pm \sqrt{484 + 960} }{2}\)
\(x = \frac{ - 22 \pm \sqrt{1444} }{2}\)
\(x = \frac{ - 22 \pm38}{2}\)
\(x = - 11 \pm19\)
\(x = 8\)
Identify the inverse g(x) of the given relation f(x).
f(x) = {(8, 3), (4, 1), (0, –1), (–4, –3)}
g(x) = {(–4, –3), (0, –1), (4, 1), (8, 3)}
g(x) = {(–8, –3), (–4, 1), (0, 1), (4, 3)}
g(x) = {(8, –3), (4, –1), (0, 1), (–4, 3)}
g(x) = {(3, 8), (1, 4), (–1, 0), (–3, –4)}
Answer:
Last choice
Step-by-step explanation:
The basic definition of inverse function is both domain and range are swapped.
The domain is defined as set of all x-values while range is defined as set of all y-values.
If we have set of function h = {(1,2), (3,4), (5,6)} then the inverse will be {(2,1), (4,3), (6,5)}. Thus, if set of (x,y) is original function then set of (y,x) will be inverse of set of (x,y).
Henceforth, the inverse of f(x) will be g(x) = {(3,8), (1,4), (-1,0), (-3,-4)}.
Answer:
D. g(x) = {(3, 8), (1, 4), (–1, 0), (–3, –4)}
Step-by-step explanation:
hope this helps:)
Which would it be more accurate, calculating the energy converted every two minutes and adding these values or calculating the energy converted from the average power and total time
The more accurate method for calculating the total energy converted would be calculating the energy converted from the average power and total time.
To do this, follow these steps:
1. Determine the average power (in watts) during the given time period.
2. Calculate the total time (in seconds) of the conversion process.
3. Use the formula: Energy (in joules) = Average Power (in watts) x Total Time (in seconds).
This method provides a more accurate representation of the energy conversion as it takes into account the overall average power and time, rather than making multiple separate calculations and adding them together, which could result in potential discrepancies due to varying power levels throughout the process.
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y = 1.6x + 48
Based on the equation, what is the approximate shoe size for a man having a height of 60 inches?
A. 7 1/2
B. 10 1/2
C. 12
D. 14
Explain how you can solve inequality-2x +4 <16
The solution to the inequality -2x + 4 < 16 is x > -6.
To solve the inequality -2x + 4 < 16, you can follow these steps:
Start by isolating the variable term. In this case, the variable term is -2x. Move the constant term, which is +4, to the other side of the inequality by subtracting 4 from both sides:
-2x + 4 - 4 < 16 - 4
-2x < 12
Next, divide both sides of the inequality by the coefficient of x, which is -2. It's important to note that when you divide or multiply an inequality by a negative number, you need to reverse the direction of the inequality sign:
(-2x) / -2 > 12 / -2
x > -6
The solution to the inequality is x > -6. This means that any value of x greater than -6 would satisfy the original inequality. Graphically, this represents all the numbers to the right of -6 on the number line.
So, the solution to the inequality -2x + 4 < 16 is x > -6.
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what is 4 3/4 + 2 1/2
Answer:
7 1/4
Step-by-step explanation:
Multiply the denominator of 1/2 to equal the denominator of 3/4.
3/4 + 2/4 = 1 1/4.
4 + 2 = 6.
6 + 1 1/4 = 7 1/4.
Peter uses the equation y = StartFraction 13 over 4 EndFraction x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by Peter’s equation?
Regarding the proportional connection that Peter's equation simulates, claim C is accurate. Peter moves along at a 13/4 mph walking pace.
What is the equation?An equation is a mathematical statement that uses an equal sign to join two algebraic expressions having the same value.
The complete question is
"Peter uses the equation Y=13/4x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by the peat there's the equation?
A:Peter walks a rate of 4/13 miles per hour.
B: Peter walks at a rate of 4 miles per hour.
C: Peter walks at a rate of 13/4 miles per hour.
D: Peter walks at a rate of 13 miles per hour."
Provided equation
Y=13/4x
where y is the distance traveled and x denotes the amount of time.
According to the equation, Peter moves along at a speed of 13/4 miles per hour.
As a result, the proportional connection represented by Peter's equation is valid as stated in assertion C.
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