True, r² is a metric that expresses how much of a variable is accounted for by a basic linear regression model.
Calculate the sum of squares for the regression model (SSR): SSR = Σ (predicted values - mean of the dependent variable)²
Calculate the sum of the squares of the residuals (SSE): SSE = Σ (observed values - predicted values)²
Calculate the coefficient of determination (r²): r² = SSR/ (SSR + SSE)
The coefficient of determination (r²) is then a percentage measure of the proportion of the variation explained by the simple linear regression model.
To know more about linear regression visit:
https://brainly.com/question/25987747
#SPJ4
A farmer has 15 boxes of eggs. There are 6 eggs in each box. Write, as a ratio, the number of eggs in three boxes to the total number of eggs. Give your answer in the simplest form.
Answer:
15 boxes of eggs × 6 eggs/box =
90 total eggs
3 boxes of eggs × 6 eggs/box = 18 eggs
The ratio of the number of eggs in 3 boxes to the total number of eggs is 18/90 = 1/5.
Carly spent $13.25 on supplies to make lemonade. At least how many glasses of lemonade must she sell at $0.20 per glass to make a profit?
Answer:
66.25
technically 67 glasses
Step-by-step explanation:
The downside of using an interface for integration is that the data will not be as ________ as it would be if it were integrated more directly.
A) accurate
B) timely
C) economical
D) valuable
The downside of using an interface for integration is that the data will not be as accurate as it would be if it were integrated more directly.
When it comes to integrating data between different systems or applications, there are different approaches that can be taken.
One common method is to use an interface, which acts as a bridge between the two systems and facilitates the exchange of data.
However, while interfaces can be useful for integrating data, there are some downsides to this approach, including the potential for reduced accuracy.
The reason for this is that interfaces often require data to be transformed or mapped between the two systems, which can introduce errors or inconsistencies.
For example, if the data in one system is stored in a different format or with different data types than the other system, this may need to be converted before it can be transferred.
Similarly, if there are differences in the way that data is organized or labeled in the two systems, this can create challenges when integrating the data.
In contrast, more direct methods of integration, such as database replication or data synchronization, can be more accurate since they involve copying data directly from one system to another without the need for transformation or mapping.
However, these methods can also be more complex and costly to set up and maintain.
Ultimately, the choice of integration method will depend on the specific needs and constraints of the organization. While interfaces may have some drawbacks in terms of data accuracy, they can still be a useful tool for integrating data in many situations.
It is important to carefully consider the tradeoffs between different integration methods and choose the one that best meets the needs of the business.
For similar question on integrating.
https://brainly.com/question/2860229
#SPJ11
A rectangular prism has a length of 10 inches, a width of 4 inches, and a height of 3.7 inches. What is the volume of this rectangular prism?
Answer:
I believe it's 148.
Step-by-step explanation:
You must do L x W x H to find the volume of a rectangular prism or cube.
B
133⁰
Calculate the size of angle EDC.
47°
A
126⁰
C
101°
F
62°
E
Not drawn accurately
Answer:
angle EDC = 64 degrees
08.02 MC) The two plots below show the heights of some sixth graders and some seventh graders of a school: Two dot plots are shown one below the other. The title for the top dot plot is Sixth Graders and the title for the bottom plot is Seventh Graders. Below the line for each dot plot is written Height followed by inches in parentheses. There are markings from 52 to 57 on the top line and the bottom line at intervals of one. For the top line there are 2 dots above the first mark, 1 dot above the second mark, 1 dot above the third mark and 2 dots above the fourth mark. For the bottom line, there are 2 dots above the second mark, 3 dots above the third mark, 1 dot above the fifth mark. The mean absolute deviation (MAD) for the first set of data is 1.2 and the MAD for the second set of data is 0.7. Approximately how many times the variability in the heights of the seventh graders is the variability in the heights of the sixth graders? (Round all values to the tenths place.) (1 point) 0.5 1.2 1.7 3.4
The variability in the heights of the seventh graders is approximately 0.6 times the variability in the heights of the sixth graders.
What is mean absolute deviation?The variability or dispersion of a set of data is measured by the mean absolute deviation (MAD). By averaging the absolute differences between each data point and the set mean, it is calculated. Because it is less impacted by high values or outliers, the MAD is a more reliable measure of variability than the standard deviation. The MAD is always a non-negative number and is stated in the same units as the data. Greater variability is indicated by a bigger MAD, whereas a smaller MAD suggests that the data points are more variable and are consequently closer to the mean. The MAD is frequently used to track process variation in descriptive statistics and quality control applications.
Given that, MAD for the sixth graders is 1.2 and the MAD for the seventh graders is 0.7.
To determine the relation of variability we take the ratio as:
0.7 / 1.2 ≈ 0.6
Hence, the variability in the heights of the seventh graders is approximately 0.6 times the variability in the heights of the sixth graders.
Learn more about mean absolute deviation here:
https://brainly.com/question/10528201
#SPJ1
The complete question is:
A suitcase measures 24 inches long and 18 inches high what is the diagonal length of the suitcase to the nearest 10th of a foot
Answer: Split it in half to turn it into a triangle! The hypotenuse if the triangle will give you the diagonal length of the suitcase, because it’s a rectangle. Hope this helps :D
Step-by-step explanation:
In circle H with m/GHJ = 46 and GH = 4 units find area of sector GHJ. Round
to the nearest hundredth.
G
1
H
rann
Area of sector GHJ ≈ 2.04 square units
Area of sector calculation.
Since we are given the central angle GHJ in degrees and the radius GH of circle H, we can find the area of sector GHJ using the formula:
Area of sector GHJ = (θ/360) × πr^2
where θ is the central angle in degrees and r is the radius.
Substituting the given values, we get:
Area of sector GHJ = (46/360) × π(4)^2
= (0.1278) × 16π
= 2.0448 square units
Rounding to the nearest hundredth, we get:
Area of sector GHJ ≈ 2.04 square units
Learn more about area of sector below.
https://brainly.com/question/31347228
#SPJ1
Watch help video
What is the intermediate step in the form
(x + a)² = b as a result of completing
the square for the following equation?
-3x² +54x = 51
The intermediate step in completing the square in the equation -3x² + 54x = 51 is (x - 9)² = 64
What is completing the square?Completing the square is a method of solving a qudratic equation by converting it into a perfect square binomial.
To find the intermediate step in the form (x + a)² = b as a result of completing the square for the following equation?
-3x² + 54x = 51, we proceed as follows
-3x² + 54x = 51
Dividing through by -3, we have that
-3x²/-3 + 54x/-3 = 51/-3
x² - 18x = 51/-3
Next, we add half the square of the coefficient of x to both sides, that is (-18/2)² = (-9)²
x² - 18x + (-9)² = -17 + (-9)²
(x - 9)² = -17 + 81
(x - 9)² = 64
So, the intermediate step is (x - 9)² = 64
Learn more about completing the square here:
https://brainly.com/question/30877639
#SPJ1
if an arugmetn is invalid, then whever the premises are all false, the conlucison must also be flase
An argument can be invalid even if the premises are true and the conclusion is false.This statement is actually false.
Invalidity refers to the structure of the argument, not the truth value of the premises or conclusion. An invalid argument fails to establish the truth of its conclusion even if its premises are true. In contrast, a valid argument guarantees that the conclusion follows from the premises, regardless of the truth or falsity of the premises. Therefore, an argument can be valid with false premises, and an argument can be invalid with true premises.
Learn more about An argument
https://brainly.com/question/31218461
#SPJ4
Conclude that there is no guarantee that the conclusion will be false when all the premises are false in an invalid
argument.
If an argument is invalid, then whenever the premises are all false, the conclusion must also be false.
An invalid argument is one where the conclusion does not necessarily follow from the premises, even if the premises
are all true.
In other words, it is possible for the premises to be true, but the conclusion to be false. However, in the scenario you
described, all the premises are false. In an invalid argument, there is no guarantee that the conclusion will also be false.
Identify the argument as invalid.
Recognize that all the premises are false.
Understand that in an invalid argument, the conclusion does not necessarily follow from the premises.
Conclude that there is no guarantee that the conclusion will be false when all the premises are false in an invalid
argument.
for such more question on premises
https://brainly.com/question/5497205
#SPJ11
If the area of a parallelogram is 676 square miles and the height is four times the length of the base, what are the lengths of the base and height?
The lengths of the base and height are, 13 miles and 52 miles respectively.
Given that;
The area of a parallelogram is, 676 square miles
And, the height is four times the length of the base,
Hence, We get;
Length of base = x
Height = 4x
Since, Area of the parallelogram = Base × Height
Hence, We get;
676 = x × 4x
x² = 676 / 4
x² = 169
x = √169
x = 13 miles
Thus, Length of base = x = 13 miles
Height = 4x = 4 x 13
= 52 miles
Thus,, The lengths of the base and height are, 13 miles and 52 miles respectively.
Learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ1
Dominique throws a softball from the outfield. After 1 second, the ball is 10 feet high. After 4 seconds, the ball reaches its maximum height of 46 feet. After 7 seconds, it returns to a height of 10 feet. What is the equation of the quadratic function that models the height of the ball h(t) at time t? a. h(t) = 4(t 4)2 + 46 b. h(t) = −4(t − 4)2 + 46 c. h(t) = 2(t + 3)2 + 46 d. h(t) = −2(t − 3)2 + 46
The equation of the quadratic function that models the height of the ball h(t) at time t is h(t) = -2(t-3)^2 + 46. So, correct option is D.
The height of the ball at time t can be modeled by a quadratic function in the form h(t) = at^2 + bt + c, where a, b, and c are constants that we need to find.
We know that after 1 second, the height of the ball is 10 feet. This gives us the point (1, 10), which we can substitute into the quadratic equation to get:
10 = a(1)^2 + b(1) + c
10 = a + b + c --------------- (1)
We also know that after 4 seconds, the ball reaches its maximum height of 46 feet. This gives us the point (4, 46), which we can substitute into the quadratic equation to get:
46 = a(4)^2 + b(4) + c
46 = 16a + 4b + c --------------- (2)
Finally, we know that after 7 seconds, the height of the ball is back to 10 feet. This gives us the point (7, 10), which we can substitute into the quadratic equation to get:
10 = a(7)^2 + b(7) + c
10 = 49a + 7b + c --------------- (3)
Now we have a system of three equations (equations 1, 2, and 3) with three unknowns (a, b, and c) that we can solve. Using algebraic manipulation or substitution, we can solve for a, b, and c to get:
a = -2, b = 12, and c = 28
Therefore, the equation of the quadratic function that models the height of the ball h(t) at time t is:
h(t) = -2t^2 + 12t + 28
The answer is not listed among the choices, but if we simplify the equation we can see that it matches with option D:
h(t) = -2(t-3)^2 + 46
To learn more about equation click on,
https://brainly.com/question/29725233
#SPJ4
44 is less than or equal to x
Answer:
44 <= x
Step-by-step explanation:
Write a quadratic function f whose zeros are -2 and 12.
f(x) = 0
Answer:
[tex]f(x) = (x + 2)(x - 12)[/tex]
[tex]f(x) = {x}^{2} - 10x - 24[/tex]
Max spent 3/5 of his money in a shop and 1/4 of the remainder in another shop. (a) What fraction of his money was left ?
3/10 of Max's money was left after he spent 3/5 of his money in the first shop and 1/4 of the remainder in the second shop.
Let's assume Max had $100 to start with (we can use any amount for this problem, but $100 is a convenient round number).
If Max spent 3/5 of his money in the first shop, he spent:
3/5 x $100 = $60
This means he had $40 remaining. If he then spent 1/4 of this remaining amount in the second shop, he spent:
1/4 x $40 = $10
So Max has spent a total of $60 + $10 = $70. Therefore, the amount of money Max has left is:
$100 - $70 = $30
So Max has $30 left out of his original $100. To express this as a fraction, we can write:
$30 / $100 = 3/10
To learn more about money here:
https://brainly.com/question/23645980
#SPJ4
16. Find the perimeter and area of the following shape.
3n + 14
4n-8
3n+12
3. A box contains 36 books and some toys. The ratio of the number of books to the number of toys is 4 : 5.
After some toys are given away, the ratio of the number of books to the number of toys becomes 12:11. Find:
(1) the initial number of toys in the box,
(2) the number of toys that are given away.
Answer:
4512Step-by-step explanation:
Given 36 books in a box with toys such that the books : toys ratio is 4 : 5, you want the initial number of toys and the number given away if the ratio becomes 12 : 11.
RatiosThe number of books remains constant at 36. We can rewrite the ratios so that each shows the correct number of books:
ratios are books : toys
before: 4 : 5 = 36 : 45 . . . . . . . multiply by 9
after: 12 : 11 = 36 : 33 . . . . . . . . multiply by 3
1. Initial ToysBased on the above, we see the initial number of toys is 45.
2. Given awayThe final number of toys is 33, so the number given away is ...
45 -33 = 12
12 toys were given away.
<95141404393>
URGENT! Will give brainliest :)
Rosa recorded the height (in centimeters) of a pea plant over a 10-day period for a science experiment. Which equation is the best model of the data?
A. y= 2.2 - (1.1%)
B. y= 0.5x + 1.8
C. y= 2.0 • (1.4%)
D. y = 0.7 x + 2.1
According to this research, options B and D appear to be the most slope plausible explanations for the data. However, without the real data, determining which equation is the best model is impossible.
what is slope?The slope of a line indicates how steep it is. The gradient's mathematical equation is known as "gradient overflow" (the change in y divided by the change in x). The slope is defined as the ratio of the vertical change (rise) between two places to the horizontal change (run). The slope-intercept form of an equation is used to express a straight line's equation, which is written as y = mx + b. The y-intercept is found where the slope of the line is m, b is b, and (0, b). For example, consider the slope and y-intercept of the equation y = 3x - 7.The slope of the line is m. b is b at the y-intercept, and (0, b).
It is impossible to establish which equation is the best model of the data without the actual data. However, we may analyse each possibility based only on the facts provided:
A. y= 2.2 - (1.1%): This equation appears to contain a constant term and a negative slope, making it unsuitable for predicting plant height over time.
B. y= 0.5x + 1.8: The positive slope of this equation indicates that the plant's height rises with time. The constant term of 1.8 might represent the plant's beginning height, while the coefficient of 0.5 could reflect the plant's growth rate.
C. y= 2.0 • (1.4%): This equation appears to contain a constant term and a positive slope, but the percentage term is not obvious how it links to the data.
D. y = 0.7 x + 2.1: This equation, like option B, has a positive slope and a constant term. The coefficient of 0.7 might reflect the plant's growth rate, while the constant term of 2.1 could represent the plant's original height.
According to this research, options B and D appear to be the most plausible explanations for the data. However, without the real data, determining which equation is the best model is impossible.
To know more about slope visit:
https://brainly.com/question/3605446
#SPJ1
For what value of x must the quadrilateral be a parallelogram?
X=
(3x+28
work:
The value of x in the parallelogram is 9.3.
How to find the angle of a parallelogram?A parallelogram is a quadrilateral that has opposite sides equal to each other. Opposite sides of a parallelogram is also parallel to each other.
The opposite angle of a parallelogram are congruent while consecutive angles of a parallelogram are supplementary.
Therefore,
5x = 2x + 28
5x - 2x = 28
3x = 28
divide both sides of the equation by 3
x = 28 / 3
x = 9.333333
Therefore,
x = 9.3
learn more on parallelogram here: https://brainly.com/question/24022178
#SPJ1
I have the GCF but I don't know the rest of the numbers.
Answer:
[tex]15 + 45 = 3(5 + 15)[/tex]
Solve for a. -3.7a 1.7 = -6.07
Answer:
a = 2.1
Step-by-step explanation:
-3.7a + 1.7 = -6.07
-3.7a = -7.77
a = 2.1
Make up two data sets. list all the values in each data set and write a story to describe where they come from. The data sets should meet the following conditions:
The data set should come from random samples from a population
The centers of the distribution should be similar
The variabilities of the distributions should be different
The two data sets that meet the given conditions for in centers, and variability is in the explanations.
What are the two datasets?Data Set 1 - Heights of Adults in a City:
Values in Data Set 1 (in inches): 64, 67, 65, 63, 66, 68, 62, 64, 67, 65, 63, 66, 68, 62
Story: The data set represents the heights of randomly sampled adults in a city. The city is known for having a relatively consistent height distribution, with the majority of adults falling within a similar height range. The heights in this data set range from 62 inches to 68 inches, with a center around 65 inches, which is the most common height among the sampled adults. The data set shows relatively low variability, with most heights clustering around the center, indicating that the population of adults in the city has a narrow height distribution.
Data Set 2 - Salaries of Employees in a Corporation:
Values in Data Set 2 (in thousands of dollars): 42, 45, 47, 48, 43, 50, 55, 44, 42, 45, 47, 48, 43, 50, 55
Story: The data set represents the salaries of randomly sampled employees in a large corporation. The corporation has a wide range of job positions, and as a result, the salaries of its employees show a higher variability compared to the heights of adults in the city. The salaries in this data set range from $42,000 to $55,000, with a center around $47,000, which is the most common salary among the sampled employees. The data set shows higher variability, with salaries spread out across a wider range, indicating that the population of employees in the corporation has a more diverse salary distribution. This could be due to differences in job roles, experience levels, and other factors that impact salaries within the corporation.
Learn more about data set here: https://brainly.com/question/28168026
#SPJ1
10. In the first circle below write the last letter of the first word beginning with "L".
00000
11. Cross out the number necessary, when making the number below one million.
10000000000
12. Draw a line from circle 2 to circle 5 that will pass below circle 2 and above circle 4.
00000
13. In the line below cross out each number that is more than 20 but less than 30.
31 16 48 29 53 47 22 37 98 26 20 25
The final answers are given below
[tex]10.[/tex]L
[tex]11.[/tex] [tex]3[/tex] (the number should be [tex]1,000,000[/tex], which has six zeros)
[tex]00000[/tex]
[tex]12[/tex] | |
[tex]00000[/tex]
|
[tex]00000[/tex]
[tex]15. 31 16 48 29 53 47 22 37 98 26 2025[/tex]
What do you mean by number?A number is an arithmetic value that is used to calculate and represent a quantity.
The numbers that are more than [tex]20[/tex] but less than [tex]30[/tex] are [tex]22[/tex] and [tex]26[/tex], so they should be crossed out:
[tex]31 16 48 29 53 47[/tex] X [tex]37 98[/tex] X [tex]2025[/tex]
Therefore the answers are given below.
[tex]10.[/tex]L
[tex]11.[/tex] [tex]3[/tex] (the number should be [tex]1,000,000[/tex], which has six zeros)
[tex]00000[/tex]
[tex]12[/tex] | |
[tex]00000[/tex]
|
[tex]00000[/tex]
[tex]15. 31 16 48 29 53 47 22 37 98 26 2025[/tex]
Learn more about number
https://brainly.com/question/17429689
#SPJ1
what is 559.35 rounded to the nearest cent
Please help me I've been stumped on this problem
a. Angle 1 and angle 2 are equal because they are alternate to each other
b. since angle 1 and angle 2 are equal, arc AC and BD will be equal too
c. Parallel lines will intercept congruent arcs.
What is angle formed by parallel lines?When any two parallel lines are cut by a transversal, there are various pairs of angles that are formed.
These angles are corresponding angles, alternate interior angles, alternate exterior angles, and consecutive interior angles.
Therefore , angle 1 and 2are alternate to each other, this means that they are equal.
Since the two angles are equal , the corresponding arc formed by the two angles are also equal.
This means parallel lines will intercept congruent arcs
learn more about angles formed by parallel lines from
https://brainly.com/question/28929828
#SPJ1
A manufacturer of hard safety hats for construction workers is concerned about the mean and the variation of the forces helmets transmit to wearers when subjected to a standard external force. The manufacturer desires the mean force transmitted by helmets to be 800 pounds (or less), well under the 1000-pound legal limit, and the standard deviation to be less than 40. A random sample of 31 helmets was tested and the sample mean and variance were found to be 825 pounds and 2350 pounds2, respectively. The manufacturer wants to know if the data provides sufficient evidence to indicate that the standard deviation is significantly less than 40.
Step 1 of 5: Calculate the test statistic for this problem. Round your answer to two decimal places.
Step 2 of 5: Determine the p-value for a lower one-sided alternative hypothesis (left-tail test). The alternative hypothesis for this problem is H1: Ï2 < 1600 lbs2.
Step 3 of 5: What is the rejection region at the 10% level of significance for the test on the variance for a left-tailed alternative hypothesis? The alternative hypothesis for this problem is H1: Ï2 < 1600 lbs2.
Step 4 of 5: State your conclusion using a significance level of 0.05. The alternative hypothesis for this problem is H1: Ï2 < 1600 lbs2.
Step 5 of 5: Calculate a 90% confidence interval for the variance of force on the helmets. Round your answers to four decimal places.
Step 1: The test statistic is 56.56.
Step 2: Using a chi-square distribution table with 30 degrees of freedom (n - 1), we find that the p-value is less than 0.0001.
Step 3: The rejection region for a left-tailed test with 30 degrees of freedom at the 10% level of significance is any test statistic less than 18.307.
Step 4: The test statistic of 56.56 is greater than the critical value of 18.307.
Step 5: The 90% confidence interval for the variance of force on the helmets is [1615.46, 4123.82]
What is Variance?In statistics, variance is a measure of the spread or dispersion of a set of data points. It is calculated as the average of the squared differences from the mean.
Step 1: To test whether the standard deviation is significantly less than 40, we can use a chi-square test with the null hypothesis H0: [tex]σ^{2}[/tex] ≥ 1600 lbs² and the alternative hypothesis H1: σ² < 1600 lb[tex]s^{2}[/tex]. The test statistic is:
chi-square = (n - 1) *[tex]s^{2}[/tex] / [tex]σ^{2}[/tex]
where n is the sample size, [tex]s^{2}[/tex] is the sample variance, and [tex]σ^{2}[/tex] is the population variance under the null hypothesis.
Substituting the given values, we have:
chi-square = (31 - 1) * 2350 / 1600 = 56.56
Rounding to two decimal places, the test statistic is 56.56.
Step 2: To determine the p-value for a left-tailed test, we need to find the area under the chi-square distribution to the left of the test statistic. Using a chi-square distribution table with 30 degrees of freedom (n - 1), we find that the p-value is less than 0.0001.
Step 3: The rejection region for a left-tailed test with 30 degrees of freedom at the 10% level of significance is any test statistic less than 18.307.
Step 4: Since the test statistic of 56.56 is greater than the critical value of 18.307, we reject the null hypothesis and conclude that there is sufficient evidence to indicate that the standard deviation is significantly less than 40 at the 5% level of significance.
Step 5: To calculate a 90% confidence interval for the variance of force on the helmets, we can use the formula:
[(n - 1) * [tex]s^{2}[/tex]/ chi-square upper, (n - 1) * [tex]s^{2}[/tex] / chi-square lower]
where chi-square upper and chi-square lower are the upper and lower critical values, respectively, from the chi-square distribution table for 30 degrees of freedom at the 5% level of significance. Substituting the given values, we have:
chi-square upper = 45.722
chi-square lower = 18.307
[(31 - 1) * 2350 / 45.722, (31 - 1) * 2350 / 18.307] = [1615.46, 4123.82]
To learn more about Variance visit the link:
https://brainly.com/question/9304306
#SPJ4
A ball is dropped from a height of 12 feet and returns to a height that is one-half of the height from which it fell. How far will the ball have traveled when it hits the ground for the fourth time? A 24 B 34.5 C 1.5 D 12
In linear equation., 33 far will the ball have traveled when it hits the ground for the fourth time.
What is a linear equation in mathematics?
A linear equation in algebra is one that only contains a constant and a first-order (direct) element, such as y = mx b, where m is the pitch and b is the y-intercept.
Sometimes the following is referred to as a "direct equation of two variables," where y and x are the variables. Direct equations are those in which all of the variables are powers of one. In one example with just one variable, layoff b = 0, where a and b are real numbers and x is the variable, is used.
in order to calculate the distance of the ball taht would have traveled when it hits the ground for the fourth time is to list the height everytime it bounces. We calculate as follows:
12+6+6+3+3+1.5+1.5 = 33 feet
Learn more about linear equation
brainly.com/question/11897796
#SPJ1
The Phillips curve describes the relationship between... a. The output gap and potential GDP. O b. The money supply and interest rates. C. The unemployment rate and the rate of change of wages. O d. A
The Phillips curve describes the relationship between the unemployment rate and the rate of change of wages. Option C is the correct option.
What is Phillips curve?
The relationship between the rate of inflation and the unemployment rate is represented by the Phillips curve. The analysis of wage inflation and unemployment in the United Kingdom from 1861 to 1957 by A. W. H. Phillips, despite having forerunners, is a significant development in the field of macroeconomics. When unemployment was high, wages rose slowly; when unemployment was low, wages rose quickly, according to Phillips' research.
According to Phillips' hypothesis, as the unemployment rate declines, the labor market becomes more competitive and firms are forced to raise wages more quickly in order to recruit qualified workers. The pressure decreased as unemployment rates rose. The average relationship between wage behavior and unemployment over the course of the business cycle was represented by Phillips' "curve."
To learn more about curves, click on the below link:
https://brainly.com/question/29432628
#SPJ1
In the equation g−h=h−g, g and h are real numbers.
For what values does g−h=h−g?
Select ALL that apply.
In the given equation g - h = h - g, where g & h are real-numbers and LHS will be equal to RHS only when values of g & h are equal in magnitude & sign so that LHS & RHS becomes zero..
What are real-numbers?Natural numbers are used to count things or objects, whereas rational numbers can be used to represent or indicate fractions, irrational numbers are used to calculate or evaluate a number's square root, integers are used to measure temperature, and so on. Real numbers are a collection of several forms of numbers, such as whole, natural, integers, fractions, etc. Integers, both positive and negative, fractions, and irrational numbers are examples of rational numbers that are combined to form real numbers. R's symbol for or representation of the set of real numbers.
Given that g - h = h - g
On simplifying the equation we get:
g - h = h - g
g + g = h + h
2g = 2h
g = h
g & h can take any values, but both must be equal in order to satisfy the given condition.
For e.g, let g=h=12
g - h = h - g
12 - 12 = 12 - 12
0 = 0
Both LHS & RHS can only be zero.
To know more about real-numbers , visit:
https://brainly.com/question/551408
#SPJ1
The value of houses in Livingston goes up by 7% each year. Ben owns a house in Livingston that is currently worth $281,320. How much will it be worth in 9 years?
Ben's house will be worth $490,523.96 in 9 years if the value continues to increase at a rate of 7% per year.
Formula for Compound InterestWe can use the formula for compound interest, which is:
A = P × (1 + r)ⁿ
Where:
A = final amount
P = principal (starting value)
r = annual interest rate (expressed as a decimal)
n = number of compounding periods
In this case, the principal is $281,320, the annual interest rate is 7% (or 0.07 as a decimal), and the number of compounding periods is 9 years. Plugging in these values, we get:
A = $281,320 × (1 + 0.07)⁹
A = $281,320 × 1.743
A = $490,523.96
Therefore, Ben's house will be worth approximately $490,523.96 in 9 years if the value continues to increase at a rate of 7% per year.
To know more about interest rate visit:
brainly.com/question/28235888
#SPJ1