Mark is on the wrestling team. He weighs 125 pounds but wants to gain some weight. Each week
for 4 weeks Mark gains 2.5 pounds.
What is Mark's percent of increase in weight?
7%
6%
8%
9%
Answer:
8%
Step-by-step explanation:
1) create equation
y = (4)2.5 + 125
2) simplify
y = 10 + 125
y = 135
3) find difference
x = 135-125/125
x = 0.08
x = 8%
Gasoline Many drivers of cars that can run on regular gas actually buy premium in the belief that they will get better gas mileage. To test that belief, we use 10 cars from a company fleet in which all the cars run on regular gas. Each car is filled first with - either regular or premium gasoline, decided by a coin toss, and the mileage for that tankful is recorded. Then the mileage is recorded again for the same cars for a tankful of the other kind of gasoline. We don't let the drivers know about this experiment. Here are the results (miles per gallon): a) Is there evidence that cars get significantly better fuel economy with premium gasoline? b) How big might that difference be? Check a 90% confidence interval. c) Even if the difference is significant, why might the company choose to stick with regular gasoline? d) Suppose you had done a "bad thing." (We're sure you didn't.) Suppose you had mistakenly treated these data as two independent samples instead of matched pairs. What would the significance test have found? Carefully explain why the results are so different.
a) There is not enough evidence to conclude that cars get significantly better fuel economy with premium gasoline.
In order to test the belief that premium gasoline provides better fuel economy, a study was conducted using 10 cars from a company fleet. Each car was randomly assigned either regular or premium gasoline, and the mileage for each tankful was recorded. The data was analyzed to determine if there is a significant difference in fuel economy between the two types of gasoline.
To evaluate this, a paired t-test can be used since the same cars were tested with both types of gasoline. The null hypothesis would be that there is no difference in fuel economy between regular and premium gasoline, while the alternative hypothesis would be that there is a significant difference.
The results of the study would be analyzed using the appropriate statistical test, such as a paired t-test, to determine the p-value. If the p-value is less than the chosen significance level (e.g., 0.05), then there would be evidence to reject the null hypothesis and conclude that there is a significant difference in fuel economy.
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Hurry I need to get this done
A. 7 - 4 = 3. So, these points are separated by a distance of 3 units.
B. 2 - 1 = 1. So, these points are separated by a distance of 1 unit.
C. 3 - 1 = 2. So, these points are separated by a distance of 2 units.
D. 8 - 4 = 4. So, these points are separated by a distance of 8 units.
So A. is the correct answer.
Answer:
A. (2,4), (2,7)
Hope you could get an idea from here.
Doubt clarification - use comment section
haru rides his bike from his home for 30 minutes at a fast pace. He stops to rest for 20 minutes, and then continues riding in the same direction at a slower pace for 30 more minutes. Sketch a graph of the relationship of Haru’s distance from home over time.
Using the given information and what we know about linear equations, we will find the sketch below.
How to sketch a graph?Here we need to analyze each part separately.
In a coordinate axis where the y-axis represents distance and the x-axis represents time, we will have that:
First, we know that he rides for 30 minutes at a given speed, this will be represented with an increasing linear function.
Then he stops for 20 minutes, this is represented with a horizontal line.
Finally, he returns the motion, but slower than before, so the slope of this line will be smaller than the first one.
So for 0 to 30 we have an increasing linear equation, then for 30 to 50 we have a constant horizontal line, then for 50 to 80 we have another increasing linear equation
The sketch can be seen below.
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7. Ifa = 3an * db = - 2 . find the values of: (a + b)ab
The Values of (a+b)ab are undefined.
Given that, a = 3an and db = -2We need to find the values of (a+b)
Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1
From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),
we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0
Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined
Therefore, the values of (a+b)ab are undefined.
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Find the value of x. Assume that lines that
appear tangent are tangent.
X
10 15
24
The value of x in the chord intersection is 16 units.
How to find the length of chord?The intersecting chord theorem states that the products of the lengths of the line segments on each chord are equal. In other words, If two chords intersect in a circle , then the products of the measures of the segments of the chords are equal.
Therefore, lets find the value of x in the intersecting chords as follows:
15 × x = 24 × 10
15x = 240
divide both sides of the equation by 15
x = 240 / 15
x = 16
Therefore,
x = 16 units
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Rowena's monthly gasoline bill dropped from $83.75 last month to $56.95 this month. Find the percent decrease. Round your answer to the nearest percent. Do NOT round until you have calculated the final answer.
Answer:
Hey there! The answer to your question will be below.
Step-by-step explanation:
The correct answer would be 32% decrease
Here is the work:
56.95 / 83.75= 0.68
Now you have to take the answer and subtract....
You have to subtract 1.1 and the answer we got (.68)
1.1-.68
And that how we would get 32% decrease
= 32% decrease
Hope this helps!
By: xBrainly
Franco made a dozen muffins for his party upon taking them out of the oven he noticed 2 of the muffins were badly burned franco served 7/10 of the remaining muffins
Answer:
10/10 - 7/10 = 3/10
Step-by-step explanation:
Given:
Number of muffin made = 12
Number of muffin burned = 2
Number of muffin serve = 7 / 10
Find:
Equation for number of muffin remain
Computation:
Number of muffin remain = 12 / 2
Number of muffin remain = 10
Equation for number of muffin remain = Number of muffin remain - Number of muffin serve
10/10 - 7/10 = 3/10
A number is written with the following factorization: 2^2 × 3 × 5^4 × 11^2. Is this factorization a prime factorization? Explain why or why not. If it is not correct, give the correct prime factorization of the number.
It is a prime factorization because each base (2,3,5, and 11) is a prime number.
A prime number is one where the only factors of it are 1 and itself.
factors of 2 = 1 and 2factors of 3 = 1 and 3factors of 5 = 1 and 5factors of 11 = 1 and 11Instead of saying something like 11^2, we could write 11*11. Similarly, 5^4 could be written as 5*5*5*5. Though it's a good idea to use exponents so you make the prime factorization more compact and save time.
The '3' without an exponent is the same as 3^1. You'll often see that exponent of 1 left out. Again this is to save time.
Economic growth typically results in rising standards of living and prosperity. However, it also invites negative externalities such as environmental degradation due to over- exploiting of natural resources. As such, the world is confronted with the dilemma of growth versus environmental sustainability. Developing a model explaining the disparity of economic development concentrating on drivers such as tourism sustainability, technological innovation and the quality of leadership would be important not only to facilitate future economic growth in developing countries, but also to the environmental and sociocultural sustainability which ultimately lead to global sustainable development. The present research objective is to develop and test framework of sustainable development by considering the elements of tourism, technological innovation, and national leadership. This further would facilitate growth, environmental and socio-cultural sustainability. Understanding the integration of these dimensions would enable the building of a Sustainable Development Framework (SDF) that would provide better insight in promoting the SDGS agenda. Ultimately, growth and environmental sustainability can be achieved which will benefit the society, the economy, and nations and of course for future sustainable policy recommendation. Based on the issue above, you are required to propose relevant econometric approaches with the aims to test sustainable development by considering the elements of tourism, technological innovation, and national leadership. Question 1 [10 marks] [CLO2] Based on the scenario above, a. Propose an appropriate model specification based on the scenario above. [4 marks] used in the [4 marks] [2 marks] b. Justify the selection of the dependent and independent variables model. c. Justify the selection of the sample period.
According to the given information, the sample period should be from 2010-2020.
a) Model specification
The model specification based on the scenario above is as follows:
SDF= f(T, TI, NL)
Where: SDF= Sustainable Development Framework
T= Tourism
TI= Technological innovation
NL= National leadership
b) Justification for the selection of the dependent and independent variables model:
Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.
Independent variables:
The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.
The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.
c) Justification for the selection of the sample period:
The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.
Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.
The sample period should be from 2010-2020.
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(0,-1)
(2,-5)
find slope
Answer: The slope between the points (0,-1) and (2,-5) is (-5 - (-1)) / (2 - 0) = -4 / 2 = -2.
Step-by-step explanation:
9+3.5g=11−0.5g9, plus, 3, point, 5, g, equals, 11, minus, 0, point, 5, g
g =
Answer:
g = 1/2
Step-by-step explanation:
Here, we want to calculate the value of g from the given equation
9 + 3.5g = 11-0.5g
11-9 = 0.5g + 3.5g
2 = 4g
g = 2/4
g = 1/2
Answer:
1/2
Step-by-step explanation:
Use the fact that 1.5 is the same as 3/2 to select all
of tile equations below that are equivalent to T=A^1.5
Answer:
It is all 4
Step-by-step explanation:
Answer:
all 4 , the next one is A
Step-by-step explanation:
() + -8= -6 what is the awnser
Answer:x=2
Step-by-step explanation:
change () to x
x + -8= -6
-6+8=2
x=2
What quadriatic function has a douvle root of -4
Answer:
A quadratic function with a double root of -4 can be written in the form:
f(x) = a(x + 4)^2
where "a" is a constant.
Step-by-step explanation:
Since the root is double, we know that the quadratic function touches the x-axis at -4, but does not cross it. This means that the vertex of the parabola is located at x = -4.
To determine the value of "a", we need more information about the function. For example, we could be given a point on the parabola, the y-intercept, or some other information.
Without additional information, we cannot determine a unique quadratic function that has a double root of -4.
I NEED HELP ON THIS ASAP!
Answer:
(-2,4) is quadrant 2, (8,4) is quadrant 1, (6,-2) is quadrant 4
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth. 5 and 9
Answer:
is it a right triangle?
Step-by-step explanation:
Answer:
1. Is it a right triangle?
2. Are you looking for the hypotenuse?
Step-by-step explanation:
find the square roots of each of the following number
1: 81
2: 100
Multiply 9 with 9, and we get:
9 × 9 = 81
Multiply 10 with 10, and we get:
10 × 10 = 100
We get the final result as:
9²10²Hope this helps :)
For k=1, 2, …, 5,
1. Find the number nk of linearly independent subsets consisting of k columns for each of the
following matrices:
There is only 1 linearly independent subset consisting of 1 column for matrix A.
For k=2, 3, 4, and 5, there are no linearly independent subsets since the rank of matrix A is 1.
To find the number of linearly independent subsets consisting of k columns for each of the given matrices, follow these steps:
1. Determine the size and rank of the given matrix.
2. If k is greater than the rank of the matrix, there are no linearly independent subsets of k columns.
3. If k is equal to or less than the rank of the matrix, the number of linearly independent subsets of k columns is given
by the binomial coefficient: C(r, k), where r is the rank of the matrix, and k is the desired number of columns.
For example, let's find the number of linearly independent subsets consisting of k columns for the given matrix A:
Matrix A:
[ 1 2 3]
[ 2 4 6]
[ 3 6 9]
Determine the size and rank of the matrix.
The size of matrix A is 3x3. Its rank is 1, as all rows are linearly dependent.
Check if k is greater than the rank of the matrix.
For k=1, 2, ..., 5, only k=1 is less than or equal to the rank of matrix A (which is 1).
Calculate the number of linearly independent subsets of k columns.
For k=1, use the binomial coefficient formula: C(r, k) = C(1, 1) = 1.
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How is graphing a two-variable inequality similar to graphing a one-variable inequality on the number line? HURRY PLEASE
Answer: “The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.”
- https://www.mathplanet.com
Step-by-step explanation:
The length of a rectangle is 4 m shorter than its width. If the perimeter of the rectangle is 18 m, find its length and width.
help pleasee
The perimeter of the rectangle.
P = 2 ( l + w)
The length of the rectangle is 2.5 m
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Width of the rectangle = w
Length of the rectangle = w - 4
The perimeter of the rectangle = 18 m
P = 2 ( l + w)
18 = 2 (w - 4 + w)
18 = 2 (2w - 4)
9 = 2w - 4
2w = 9 + 4
2w = 13
w = 13/2
w = 6.5 m
Length of the rectangle.
= w - 4
= 6.5 - 4
= 2.5 m
Thus,
The length of the rectangle is 2.5 m
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Abcd is a parallelogram. determine the value of a.
The opposite sides of a parallelogram are congruent so a is 15.
3a+7a+2a=180 because the sum of the angles in the triangle BCD is 180 degrees.
3a+7a+2a=180
12a=180
a =180/12
a= 15
(I. e) 3a= 3(15)= 45
7a=7(15)=105
2a=2(15) =30
As a result, angle A=angle C (OPP. Angles of a Parallelogram are Equal) = A = B, D = A (OPP. angles of a parallelogram are equal)
In light of this, 7a=c = c = 105.
OPP sides in a parallelogram are parallel and equal, therefore AB is parallel to CD and BD is a transversal; as a result, angle d=2a (alternative internal angles are equal) translates to d=30.
as well as b=3a (alternative interior angles are equal) resulting in b=45
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The product of which expression contains four decimal places?
O 5.3478x6.4214
O 6.4x9.1
O 521x3.82
O 14.2x0.784
???
Answer:
45.2x0.784
Step-by-step explanation:
This problem equals 35.4368, which has four decimal points
find the area under the standard normal curve over the interval specified below to the right of z=3
The standard normal curve, also known as the standard normal distribution or the z-distribution, is a specific probability distribution that follows a bell-shaped curve. The area under the standard normal curve to the right of z = 3 is approximately 0.0013.
For the area under the standard normal curve to the right of z = 3, we need to calculate the cumulative probability from z = 3 to positive infinity.
The standard normal distribution, also known as the z-distribution, has a mean of 0 and a standard deviation of 1. It is a symmetric bell-shaped curve that represents the distribution of standard scores or z-scores.
Using statistical tables or software, we can find the cumulative probability associated with z = 3, which represents the area under the curve to the left of z = 3.
The cumulative probability for z = 3 is approximately 0.9987.
For the area to the right of z = 3, we subtract the cumulative probability from 1.
Therefore, the area to the right of z = 3 is approximately 1 - 0.9987 = 0.0013.
In conclusion, the area under the standard normal curve to the right of z = 3 is approximately 0.0013.
This means that the probability of randomly selecting a value from the standard normal distribution that is greater than 3 is approximately 0.0013 or 0.13%.
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A boy ha 35 paperback book and 20 hardback book. What fraction of the book are hardback
The fraction of the books are hardback is 4 / 11.
In Mathematics, a fraction defined as the part of the whole thing. For example, a pizza is divided into four equal pieces, then each piece is represented by ¼. Fractions help to distribute and judge the numbers easily and make the calculation faster.
from given conditions, a boy ha 35 paperback book and 20 hardback book.
so, the total books are 35 paperback book + 20 hardback book = 55 books
fraction of books which are hardback book are,
20 / 55
= 4 / 11
Therefore, the fraction of the books are hardback is 4 / 11.
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Please help me! Please no guesses and explain how you got the answer. I've reviewed the lesson but I don't understand the question and the lesson doesn't clear up anything.
The functions f(x) = x2 – 1 and g(x) = –x2 + 4 are shown on the graph.
The graph shows f of x equals x squared minus 1, which is an upward opening parabola with a vertex at 0 comma negative 1 and a point at negative 1 comma 0 and a point at 1 comma 0. The graph also shows g of x, which is a downward opening parabola with a vertex at 0 comma 4 and a point at negative 1 comma 3 and a point at 1 comma 3.
Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?
y > x2 – 1
y ≤ –x2 + 4
Answer:
We will need to shade the region above f(x) and the region below the function g(x).
How to transform the graph into the solution set?
We have:
f(x) = x^2 - 1
g(x) = -x^2 + 4
Both of these are already graphed, and we want to transform it into:
y > f(x)
y ≤ g(x)
The first inequality means that we need to graph f(x) with a dashed line, because f(x) is not part of the solution, and then we shade all the region above f(x).
For the other inequality, we use a solid line (because the points on the line are solutions) and then we shade the part below the curve.
A city official would like to know if there is public support for increasing funding for arts programs. To collect data, the city official stands outside a concert hall after a show and surveys every 25th person to exit and asks their opinion about raising funds for the arts. Which of the following describes the population in this scenario?
a. all residents of the city
b. the members of the city council
c. all city residents who support the arts
d. the people surveyed by the city official
I was thinking c. Who else agrees?
Answer:
I think the answer is either c or d. but i think your answer is good
Step-by-step explanation:
As the city official would lie to know that if public support for increased funding of arts programs. By collecting data the officials show the survey after every 25 persons and ask for their opinion.
They also tend to raise a fund that states the population in the scenario of a city resident that supports the arts.Hence the option C is correct.
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You have an old 35-inch TV with an aspect ratio of 4:3. Find the width and height of the screen.
Answer:
b
Step-by-step explanation:
NOT 100% SURE PLEASE GIVE BRAINLIEST
How many times would you expect to land on heads if you flipped a standard coin 250 times?
Answer:
125
Step-by-step explanation:
250/2=125 this is how many time you would expect to get heads
Answer need ASAP
Add -3 1/6 + 5 3/4 and write it as a reduced mixed number
-3 1/6 + 5 3/4 = ?
Answer: 2 5/6 I think.
Wait no. I just did the math and it would be 2 1/2