La proportion de boules vertes dans cette boîte est de 2/3.
How to calculate the proportion of green balls in the box?Pour déterminer la proportion de boules vertes dans cette boîte, nous devons comparer le nombre de boules vertes au nombre total de boules dans la boîte.
Le nombre total de boules dans la boîte est la somme des boules vertes et des boules bleues, soit 12 + 6 = 18 boules.
Maintenant, pour calculer la proportion de boules vertes, nous divisons le nombre de boules vertes par le nombre total de boules.
Proportion de boules vertes = Nombre de boules vertes / Nombre total de boules
Proportion de boules vertes = 12 / 18
Simplifiant cette fraction, nous obtenons :
Proportion de boules vertes = 2/3
La proportion de boules vertes dans cette boîte est donc de 2/3 ou environ 66.67%.
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Which of the following statements is not
true about the linear equation, y + 3 = -2(x-7)?
O The line has a slope of -2
O The linear equation can also be written as y=-2x +11
O The line contains the point (7,-3)
O The line contains the point (-7, 3)
Answer: Option 4
Step-by-step explanation:
This is true because the coefficient of x is -2.\(y+3=-2x+14 \implies y=-2x+11\), so this is true.Substituting \(x=-7\), \(y=(-2)(7)+11 =-3\), so this is true.Substituting \(x=7\), \(y=-2(-7)+11=3\). so this is false.59, 61, 83, 67, 81, 80, 81, find the range data set
Answer:
24
Step-by-step explanation:
simply subtract the highest value and lower value to get your Range. In this (83 - 59)
Answer: 24
Step-by-step explanation: 83 - 59 = 24
Part C
Vertical angles are the angles opposite each other when two lines intersect. Which angles are vertical to the given angles? Complete the table.
Answer:
angle A = Angle C: verticle angle
angle B = Angle D: verticle angle
angle E = Angle G: verticle angle
angle F = Angle H: verticle angle
angle B and A are supplementary
angle D and C are supplementary
angle E and F are supplementary
angle H and G are supplementary
Answer:angle A = Angle C: verticle angle
angle B = Angle D: verticle angle
angle E = Angle G: verticle angle
angle F = Angle H: verticle angle
angle B and A are supplementary
angle D and C are supplementary
angle E and F are supplementary
angle H and G are supplementary
also love ur pfp
Help with 3 & 4 asap it’s due
Answer:
3) √60
Step-by-step explanation:
*NOTE- I don't know how to solve number 4 but hopefully number 3 is correct.
a^2+b^2=c^2
x= missing leg
hypotenuse=8
leg1= 2
x^2+2^2=8^2
x^2 + 4=64
x^2=60
x=√60 or 2√15
Find the percent cost of the total spent on each equipment $36, fees $158, transportation $59
Percent cost of the total spent on
each equipment = 14.23%,fees=62.45% and transportation = 23.32%.
As given in the question,
Money spent on
Each equipment = $36
Fees = $158
Transportation = $59
Total money spent = $( 36 + 158 + 59)
= $253
Percent cost of the total spent on
Each equipment = (36/253) × 100
= 14.23%
Fees = (36/253) × 100
= 62.45%
Transportation =(36/253) × 100
= 23.32%
Therefore, percent cost of the total spent on
each equipment = 14.23%,fees=62.45% and transportation = 23.32%.
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Need help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Can someone help me with 2m+4s =16?
Answer:
8/2 = 4
Step-by-step explanation:
Answer:
s=4
m=2
s=5
m=8
Step-by-step explanation:
Find the missing term or terms in the arithmetic sequence.
.....,37, ___,-163, ...
a. -63
b. -126
c. -100
d. -80
Answer:
a
Step-by-step explanation:
i got this question and got a 100 on my quiz
plot points H I and J on the coordinate plane
In order to plot points H I and J on the coordinate planeIdentify the x-coordinate and y-coordinate of each point (H, I, and J). For example, let's say the coordinates are as follows:
Point H: (xH, yH)
Point I: (xI, yI)
Point J: (xJ, yJ)
How to explain the informationLocate the origin (0, 0) on the coordinate plane. This is the starting point for plotting any point.
Move along the x-axis according to the x-coordinate of each point. If the x-coordinate is positive, move to the right; if it's negative, move to the left. Mark a point on the x-axis at the appropriate location.
Move along the y-axis according to the y-coordinate of each point. If the y-coordinate is positive, move upward; if it's negative, move downward. Mark a point on the y-axis at the appropriate location.
The point where the x and y axes intersect is the location of the point. Mark that point on the coordinate plane.
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How to Plot points H I and J on the coordinate plane
Solve for X
A) 13
B) 5
C) 14
D) 1
Answer:
B) 5
Circle is 360 degr. So (21x+9) +(23x-5) +(26x+6)=360
Combine like terms 70x+10=360
Additive inverse -10 from both sides, 70x= 350
Divide both side by 70 division Property of Equality x=5.
Check your answer by substituting 5 back into original solution!
Step-by-step explanation:
Find the measure of the indicated arc
Answer:
m(ABC) = 218°
Step-by-step explanation:
The measure of any arc with end points of an inscribed angle = 2 × inscribed angle
Inscribed angle = m<AMC = 109°
Intercepted arc = m(ABC)
Therefore,
m(ABC) = 2 × 109°
m(ABC) = 218°
What is the value of x?
Learning task 1
do the following:
1. statement: it is an eagle, it's a bird.
write the following in words:
(a) p-9
(b) 4p (c) plq
are all statements true? if not give a counter example.
2. statement: all wild animals are mammals.
.
write in words:
(a) p9
(b) a p (c)
pa
are all statements true? if not give a counter example.
1. (a) pq - "If it is an eagle, then it is a bird."
(b) qp - "If it is a bird, then it is an eagle."
(c) pa - "It is an eagle and it is a bird."
All statements are true.
2. (a) pq - "If it is a wild animal, then it is a mammal."
(b) a →p - "All animals are wild, then they are mammals."
(c) p > - "All mammals are wild animals."
All statements are not true. Counterexample can be a bird, which is a wild animal but not a mammal.
In task 1, we are given two statements and asked to express them using symbolic logic notation, and then evaluate whether they are true or false. In the first statement, "It is an eagle, it's a bird," we can represent it as "p ∧ q," where p stands for "It is an eagle" and q stands for "It's a bird." All the statements are true as an eagle is a bird.
In the second statement, "All wild animals are mammals," we can represent it as "p → q," where p stands for "It is a wild animal" and q stands for "It is a mammal." The statement is false as there are wild animals that are not mammals, such as snakes, lizards, and birds.
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--The complete question is, Learning Task 1
Do the following:
1. Statement: It is an eagle, it's a bird.
Write the following in words:
(a) pa (b) qp (c) pa
Are all statements true?
If not give a counter example.
2. Statement: All wild animals are mammals.
SON
Write in words:
(a) pq (b) a →p (c) p >
Are all statements true?
If not give a counter example.--
5 1 point A 60kg person runs up a 30\deg ramp with a constant acceleration. She starts from rest at the bottom of the ramp and covers a distance of 15m up the ramp in 5.8s. What instantaneous power (in W) was she exerting at t=4.0s ?
A 60kg person is running up a 30-degree ramp with a constant acceleration. Starting from rest at the bottom of the ramp, she covers a distance of 15m in 5.8s. We are asked to determine the instantaneous power she was exerting at t = 4.0s.
To find the instantaneous power at t = 4.0s, we need to calculate the person's instantaneous velocity at that time. Since we know the distance covered and the time taken, we can determine the acceleration using the kinematic equation:
s = ut + (1/2)at²
where s is the distance, u is the initial velocity (0 m/s), a is the acceleration, and t is the time. Rearranging the equation to solve for acceleration gives:
a = 2s / t²
Plugging in the values of s = 15m and t = 5.8s, we find the acceleration to be approximately 0.5306 m/s².
Next, we can calculate the instantaneous velocity at t = 4.0s using the equation:
v = u + at
where u is the initial velocity, a is the acceleration, and t is the time. Plugging in the values, we have:
v = 0 + 0.5306 * 4.0
The instantaneous velocity at t = 4.0s is approximately 2.1224 m/s.
Finally, we can calculate the instantaneous power using the formula:
P = Fv
where P is the power, F is the force, and v is the velocity. The force can be found using Newton's second law:
F = ma
where m is the mass of the person (60kg) and a is the acceleration. Plugging in the values, we get:
F = 60 * 0.5306
Now, we can calculate the instantaneous power:
P = (60 * 0.5306) * 2.1224
The instantaneous power exerted by the person at t = 4.0s is approximately 63.9568 W.
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Which best describes a random sample
Option A "Everyone in the population has the same chance of being included in the study" best describes a random sample.
What is a random sample?For unbiased research results its essential to utilize random samples during data collection. With this approach each individual within the larger population has an equal probability of being selected for inclusion.
By avoiding any potential biases towards specific groups or individuals researchers can confidently generalize their findings for everyone within the larger population with ease and accuracy.
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Complete question:
Which best describes a random sample?
A. Everyone in the population has the same chance of being included in the study.
B. Participants in the study are picked at the convenience of the researcher.
C. There is no consistent method of choosing the participants in the study.
D. The participants in the study are picked from volunteers.
TRUE/FALSE. a nonlinear function may contain a product of two variables
TRUE, a nonlinear function may contain a product of two variables.
A nonlinear function may contain a product of two variables. In fact, nonlinear functions can have a wide variety of terms, including products, powers, and combinations of variables.
A function is considered nonlinear if it does not satisfy the properties of linearity, which include the property of superposition, homogeneity, and additivity.
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If You Are Measuring The Electrical Potential Difference From A Rectangular \( 9 \Mathrm{~V} \) Battery, Which Setting Should You
A battery is a nice illustration. Atoms have had their electrons chemically removed in batteries. Because the positive ions and electrons are stored at the opposing ends of the battery, there is a potential difference between the two ends.
What is Rectangular?A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. It can alternatively be explained in terms of an equiangular quadrilateral a term that refers to a quadrilateral whose angles are all equal or a parallelogram with a right angle. A square is an irregular shape with four equal sides. A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.To learn more about Rectangular, refer to:
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PLEASE HELP! I WILL GIVE BRAINLYEST!
Let w represent the number of weeks planting occurs at a garden that many tourists visit and let s represent
the number of seeds planted by the botanist who works for the garden.
Part A: What does the function s(w) = 15w represent in terms of the garden? What are the units of
measurement for this function? (2 points)
Part B: What does the function f(s) = 3s + 35 represent in the context of the garden? What are the units of
measurement for this function? (2 points)
Part C: What composite function represents the number of flowers the botanist can expect to bloom over a
certain number of weeks? (3 points)
Part D: Evaluate the composite function in Part C for 36 weeks. (3 points)
Part A: The function s(w) = 15w represents the number of seeds planted by the botanist as a function of the number of weeks w that planting occurs at the garden. The units of measurement for this function are seeds and weeks.
Part B: The function f(s) = 3s + 35 represents the number of flowers that can be expected to bloom as a function of the number of seeds planted by the botanist. The units of measurement for this function are flowers and seeds.
Part C: The composite function that represents the number of flowers the botanist can expect to bloom over a certain number of weeks is f(s(w)) = 3(15w) + 35 = 45w + 35.
Part D: To evaluate the composite function for 36 weeks, we substitute w = 36 into the function: f(s(36)) = 45(36) + 35 = 1635. Therefore, the botanist can expect 1635 flowers to bloom after 36 weeks of planting. The units of measurement for this answer are flowers.
1. Part A: What does the function s(w) = 15w represent in terms of the garden? What are the units of measurement for this function?
ANSWER: The function s(w) = 15w represents the total number of seeds planted by the botanist as a function of the number of weeks (w) that planting occurs at the garden. The units of measurement for this function are seeds.
2. Part B: What does the function f(s) = 3s + 35 represent in the context of the garden? What are the units of measurement for this function?
ANSWER: The function f(s) = 3s + 35 represents the total cost (in dollars) of supplies needed to plant s seeds in the garden. The units of measurement for this function are dollars.
3. Part C:What composite function represents the number of flowers the botanist can expect to bloom over a certain number of weeks?
ANSWER: the composite function that represents the number of flowers the botanist can expect to bloom over a certain number of weeks is f(s(w)) = 45w + 35.
4. Part D: Evaluate the composite function in Part C for 36 weeks.
ANSWER: the botanist can expect 1,655 flowers to bloom over 36 weeks.
Find the actual sum 1 3/4+ 1 5/8 to determine how much david grew in two years. Use the estimate to explain how you know your answer is reasonable.Show your work.
Answer:
S = 27/8
Step-by-step explanation:
We need to find the actual sum of \(1\dfrac{3}{4}+1\dfrac{5}{8}\).
We need to find how much Devid grew in two years.
\(1\dfrac{3}{4}=\dfrac{7}{4}\)
and
\(1\dfrac{5}{8}=\dfrac{13}{8}\)
Sum means,
\(S=\dfrac{7}{4}+\dfrac{13}{8}\\\\=\dfrac{7(2)+13}{8}\\\\=\dfrac{14+13}{8}\\\\=\dfrac{27}{8}\)
Hence, the answer is 27/8.
Determine if the given set is a subspace of Pg. Justify your answer. All polynomials of degree at most 6, with negative real numbers as coefficients. ---- Complete each statement below. The zero vector of P. is not in the set because zero is not a negative real number. The set is not closed under vector addition because the sum of two negative real numbers is not a negative real number. The set is not closed under multiplication by scalars because the product of a scalar and a negative real number is not necessarily a negative real number. Is the set a subspace of PG? Yes O No
No, the given set is not a subspace of Pg because it is not closed under vector addition and scalar multiplication, and does not contain the zero vector of P.
No, the given set is not a subspace of P₆ because it does not meet the necessary conditions for being a subspace. The zero vector of P₆ is not in the set because zero is not a negative real number. The set is not closed under vector addition because the sum of two negative real numbers can result in a non-negative real number. Additionally, the set is not closed under scalar multiplication because the product of a scalar and a negative real number is not necessarily a negative real number.
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Pls help me and can you give tips on exponents??!
Answer:
Basically, exponents represent the number of times you multiply that number by itself. For example, 3² = 9, because you multiply 3 times 3.
Step-by-step explanation:
please answer one of the questions.
If you wanted to rotate a shape by 110 by double reflecting it over two intersecting lines, the angle between the two intersecting lines would need to be ___.
If you wanted to rotate a shape by 24 by double reflecting it over two intersecting lines, the angle between the two intersecting lines would need to be ________.
If you wanted to rotate a shape by 200 by double reflecting it over two intersecting lines, the angle between the two intersecting lines would need to be ________.
Answer:
A) 55°
B) 12°
C) 100°
Step-by-step explanation:
A) By double reflecting it over two intersecting lines, the angle between the two intersecting lines would simply be half of the angle at which it was rotated.
Thus, angle between the two intersecting lines = 110/2 = 55°
B) Similarly, for rotating a shape by 24°,
angle between the two intersecting lines = 24/2 = 12°
C) Similarly, for rotating a shape by 200°;
angle between the two intersecting lines = 200/2 = 100°
Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 4 liters of natural oil for every 3 liters of synthetic oil. In order to make 44S of petroylyn oil, how many liters of synthetic oil are needed?
Answer
Explanation
Given the word problem, we can deduce the following information:
1. Petrolyn motor oil is a combination of natural oil and synthetic oil.
2. It contains 4 liters of natural oil for every 3 liters of synthetic oil.
To determine the amount in liters of synthetic oil needed in order to make 448 liters f petroylyn oil, we first let x be the number of portions in 448 liters of mixture. Hence, the equation would be:
\(4x+3x=448\)Next, we solve for x:
\(\begin{gathered} 4x+3x=448 \\ Simplify\text{ and rearrange} \\ 7x=448 \\ x=\frac{448}{7} \\ Calculate \\ x=64 \end{gathered}\)Then, we get the amount of synthetic oil:
\(undefined\)what is the relationship between the singular values of a and the eigen- values of aat ? what about at a?
The eigenvectors of AAH are called the left-singular vectors of A and the eigenvectors of AHA are the right-singular vectors of A . They are called this way because of their use in singular value decomposition. Say A=UΣVH , then the columns of U are the left-singular vectors and the columns of V are right-singular vectors.
We know that the non-zero eigenvalues of AAH and AHA are the same, they are the squares of the singular values of A . A singular of value of A is a value σ such that Av=σu AHu=σv where u is a left-singular vector and vs a right-singular vector. This can be taken as the definition of singular value, left-singular vector (which is an eigenvector of AAH) and right-singular vector (which is an eigenvector of AHA).the left-singular and right-singular vector pair works with AAH and AHA
AAHu=σAv=σ2u
AHAv=σAHu=σ2v
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Q: What is the relationship between the eigenvectors of AAT and ATA?
Here are six numbers
-4, -2, -1, 5, 6, 8
Arrange the numbers into two pairs with the same total
Answer: (8,-4), (6,-2), (5,-1)
plot the normal probability plot and the residual plot vs x. what do you infer from them? harrisburg
To obtain the residuals from the fit in 8.4a and plot them against y and x, as well as prepare a normal plot, we need the specific details of the fit and the data used.
WE know that residuals represent the differences between the observed values and the predicted values from a statistical model or regression analysis.
Since the residuals against y and x can help identify patterns or trends in the data that may indicate issues with the model's fit.
A normal plot, known as a Q-Q plot, compares the distribution of the residuals to a theoretical normal distribution. If the residuals closely follow a straight line in the normal plot, the residuals are normally distributed, which is an assumption of many statistical models.
Interpreting these plots involves examining the patterns and deviations from expected behavior. If the residuals exhibit a consistent pattern, it might indicate that the model does not capture all the relevant information in the data.
Thus if the residuals appear randomly scattered around zero with no discernible pattern, it suggests that the model adequately explains the data. Deviations in the normal plot may indicate departures from the assumption of normality in the residuals, which could impact the reliability of statistical inferences.
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Put the steps in order to produce the output shown below. Assume the indenting will be correct in the program.
1 3
5 3
1 7
5 7
To produce the output "1 35 31 75 7" with correct indenting in a program, the steps are as follows: 1, 31, 35, 7, 75.
To generate the output "1 35 31 75 7" with correct indenting in a program, we need to arrange the steps in the correct order. Let's analyze the given output:
1 35 31 75 7
From this output, we can deduce that the numbers are arranged in ascending order. The correct order of the steps to produce this output is as follows:
Start with the smallest number, which is 1.
Move to the next smallest number, which is 31.
Proceed to the next number, which is 35.
Continue to the second-largest number, which is 75.
Finally, include the largest number, which is 7.
By following these steps in order, and with correct indenting in the program, we will obtain the desired output: "1 35 31 75 7".
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\( - 5 {u}^{4} \times ( {u}^{4} )\)
PLEASE HELP ME
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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Carmen ran one mile in 7 minutes. At this rate, how long will it take her to run 5 miles?