What is the difference between different types of integer models
namely total integer model, 0-1
integer model & mixed integer model, explain briefly in our own
words?
Different types of integer models refer to different formulations and restrictions applied to the variables in mathematical optimization problems. Here are brief explanations of three commonly used types of integer models: total integer model, 0-1 integer model, and mixed integer model.
1. Total Integer Model: In a total integer model, all variables are required to take integer values. This means that the solution must consist of only whole numbers, without any fractional or decimal values. For example, if a variable represents the number of units to produce, a total integer model would ensure that only whole units can be produced.
2. 0-1 Integer Model: In a 0-1 integer model, the variables are binary and can only take two values: 0 or 1. This formulation is often used for decision variables that represent choices or binary decisions, such as selecting or not selecting a particular option. For example, in a facility location problem, a 0-1 integer variable can represent whether a facility is open (1) or closed (0).
3. Mixed Integer Model: A mixed integer model allows a combination of integer and continuous variables in the optimization problem. Some variables can take fractional or decimal values (continuous), while others must take integer values. This formulation is useful when there is a need to model both discrete decisions and continuous quantities in the same problem. For example, in a production planning problem, the number of machines (integer) and the amount of raw material used (continuous) can be decision variables in a mixed integer model.
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Which number is divisible by both three and nine?
Select the Hint button to view a hint.
A.21,369 B. 36,359 C. 48,618 D. 56,783
Answer:
answer is
A.21,369 or D. 56,783
Step-by-step explanation:
am not sure but am mostly sure it is D but i dont know i think is A to but am
99% is D
hope it helps
Answer:
Your answer is C 48,618
Step-by-step explanation:
if you add the sum up of all of the digits it is divisible by both three and nine.
can i plz get brainliest.
The first golfer had a score of +6 and the second golfer had a score of -3. How many more shots did the first golfer take. 1.The first golfer had a score of +6 and the second golfer had a score of -3. How many more shots did the first golfer take. 1.
Answer:
9 more shots
Step-by-step explanation:
If the first golfer had a score of +6 and the second golfer had a score of -3, in order to know how many more shots the first golfer take, we will take the difference between both goals as shown;
= 6-(-3)
= 6+3
= 9
Hence the first golfer took 9 more shots than the second.
Answer:
9
Step-by-step explanation:
1/4 - 1/2r = -3/4r
I need help!
Answer:
\(r=-1\)
Step-by-step explanation:
\(\frac{1}{4}-\frac{1}{2}r=-\frac{3}{4}r \\ \\ 1-2r=-3r \\ \\ 1=-r \\ \\ r=-1\)
Plzzz help I am stuck
Answer:
don't worry I'm on my way step bro ! where'd you get stuck ?! (;
What is the volume of the following rectangular prism?
Answer:
Religion: There were temples and the worship of many gods. Animal sacrifices and complex rituals made some people feel disconnected from Hinduism. Religious beliefs were spread through trade.
Intellectual:
Technology: Gupta metal workers built a huge wrought-iron pillar. Indian doctors practiced Ayurvedic medicine. They could set bones and perform simple surgeries. They also began vaccinating people against smallpox.
Economy:
Buddhism & the Mauryans
Social:
Political: In 321 BCE, Chandragupta Maurya took over the former Magadha kingdom. It became the center of the Mauryan Empire. His government was a highly organized bureaucracy. He worked his way westward to the Indus Valley. The third emperor, Asoka, brought all of India, except the far south, into the empire. He used military strategy to rule.
Religion:
Intellectual: Buddha's teachings and the Four Noble Truths were passed down through oral tradition. Buddhists meditate to find their own truths. Asoka placed stone pillars providing moral guidance all over India (Edicts of Asoka.)
Technology:
Economy: Roads and harbors were built to help trade grow. Royal officials collected taxes.
Step-by-step explanation:
a study was made on the effects of several health additives for a number of elite runners, the results of a one-way anova are presented in the following table. how many additives were in the study? source df sum of squares ms between 3 55.00 within 15 450.50 total 18 505.50
A total of 14 additives were included here in a study of the effects of various health additives on various top runners.
One-Way ANOVA Test :;Uses one-way analysis of variance (ANOVA) to determine whether there are statistically significant differences between the means of three or more independent (unrelated) groups.
Need of One way ANOVA :
When working with individuals, this situation can be encountered using two different types of study designs group. Then have each group perform a different task and measure the outcome/response to the same dependent variable. In the given problem, the term "Between" in the source table refers to processing. The term "within" refers to the error term. The inner term represents the variability that exists between runners. The total number of
additives is one more than his total number of
degrees of freedom (df). Total degrees of freedom for = N – 1. Total degrees of freedom = 18,so N= 19
Hence, total additives for given study is 19.
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Complete Question:
study was made on the effects of several health additives for a number of elite
runners. The results of a One-Way ANOVA are presented in the following table.
how many additives were in the study?
Source। Df Sum of Squares MS
Between 3 55.00
Within 15 450.00
Total 18 505.50
A. 18
B. 19
C. 7
D. 8
Can someone PLEASE help me ASAP?? It’s due in a couple minutes!! I will give brainliest If It’s correct!!
please do part a, b, and c
The five-number summary of each distribution is shown below.
The difference of the median value of the two data sets is 1.
The difference and multiple of variation for the range are 4 and 1.444.
How to determine the five-number summary of each distribution?Based on the information provided about the first data set (Girls), the five-number summary for the given data set include the following:
Minimum (Min) = 25.
First quartile (Q₁) = 26.
Median (Med) = 30.
Third quartile (Q₃) = 31.
Maximum (Max) = 34.
For the Boys, the five-number summary include the following:
Minimum (Min) = 23.
First quartile (Q₁) = 24.
Median (Med) = 29.
Third quartile (Q₃) = 32.
Maximum (Max) = 36.
Difference in median = 30 - 29
Difference in median = 1.
Range of girls = 34 - 25 = 9
Range of boys = 36 - 23 = 13
Difference in range = 13 - 9
Difference in range = 4.
Multiple of variation for range = 13/9 = 1.444.
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Please help I don't know how to do it
The value of x is obtained as follows:
128º.
The measure of angle A is given as follows:
m < A = 132º.
How to obtain the measures?For a parallelogram, the opposite angles are congruent, meaning that they have the same measure, hence the value of x is obtained as follows:
5x - 508 = x + 4.
4x = 512
x = 512/4
x = 128.
Then the measure of angle A is given as follows:
m < A = 5(128) - 508
m < A = 132º.
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The area of a rectangular yard is 5,063 square feet and its length is 61 feet. What is its width? Explain or show your reasoning.
difer from the true proportion by more than 2% ? A previous study indicates that the proportion of lefthanded sclontists is 9%. Round up to the nearest whicie number. Duestion 13 A. 1.218 B. 1,109 C. 14 D.767
The total number of samples will be 1109 .
Given ,
Margin of error 0.02
Here,
According to the formula,
\(Z_{\alpha /2} \sqrt{pq/n}\)
Here,
p = proportions of scientist that are left handed
p = 0.09
n = number of sample to be taken
Substitute the values,
\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)
n ≈1109
Thus the number of samples to be taken will be approximately 1109 .
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Gail has $5,500 that she wants to put in a new savings account. She is considering two banks that are very similar. One difference she notices are the interest rates:
Neighborhood Bank - 1.2% interest, compounded annually
Beautiful Day Bank - 1.2% interest, compounded daily
Based on interest, which bank would you suggest Gail pick if she plans to have her money in the account for 15 years
The bank she would suggest is Neighborhood Bank - 1.2 % interest, compounded weekly.
How to find the compound interest?If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
A = P \((1 + r/n)^{nt\)
Given:
Gail has $5,500 that she wants to put in a new savings account.
Neighborhood Bank - 1.2% interest, compounded weekly
Beautiful Day Bank - 1.2% interest, compounded daily
Thus, $5,500 x 1.2% = $66
$66 a day times 360 days = $23,760
and, $23,760 times 20 = $475, 200.
and, $257,400 times 20 = $9504000
Hence, The bank she would suggest Gail pick is Neighborhood Bank - 0.65% interest, compounded weekly.
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Help if u understand please and ty
In the context of the information research process, the second step of determining a research problem involves _____.
A) redefining the initial problem into research questions
B) confirming the value of the information sought
C) identifying variables that are pertinent to the problem
D) specifying the research objectives
In the context of the information research process, the second step of determining a research problem involves specifying the research objectives. The correct option is D) specifying the research objectives
Research is the methodical investigation into a subject to discover and interpret facts, data, and theories. Research often involves both inductive and deductive approaches. Researchers use the research process to design, plan, execute, and interpret their findings in a structured way. They are trying to discover something new, expand our knowledge, and demonstrate their discoveries to others.
The research process consists of five primary phases:
The objectives of research are a statement of what the researcher intends to do in the research. On the other hand, the research problem is a question or statement that addresses the issue or topic that the research project seeks to address. The first step in the research process is to identify and clearly define the problem.The second stage in the research process is to specify the research objectives. The third step is to develop the research plan.The fourth stage is to collect data and conduct research, and The fifth stage is to interpret the data and prepare the final report or thesis.The correct option is D) specifying the research objectives
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A. 5
B. 1/2
C. 1/5
D. 2
Answer:
Hello! Your answer is BELOW
Step-by-step explanation:
D)2
Hope I helped! Hope you make an 100%
-Amelia♥
Answer:
C. 1/5
Step-by-step explanation:
Use any two points and substitute the values for the variables in the slope formula.
Slope formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)
m = slopey₂ = second y valuey₁ = first y valuex₂ = second x valuex₁ = first x value\(\frac{3-2}{10-5}=\frac{1}{5}\)
a standard six-sided die is rolled 1515 times. what is the expected value of the number of times an odd number will be rolled? do not round your answer.
The expected value of the number of times an odd number will be rolled can be calculated using the formula: E(x) = np, where n is the number of trials, and p is the probability of success. In this case, the probability of rolling an odd number on a standard six-sided die is 3/6, or 1/2, since there are three odd numbers (1, 3, 5) and three even numbers (2, 4, 6).
Therefore, the expected value of the number of times an odd number will be rolled in 1515 trials is:
E(x) = np
E(x) = 1515 * (1/2)
E(x) = 757.5
So the expected value of the number of times an odd number will be rolled in 1515 trials is 757.5.
Answer: 757.5.
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solve for x:
-6 + 4x = 13
Answer:
x = 19/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
-6 + 4x = 13
Step 2: Solve for x
Add 6 to both sides: 4x = 19Divide both sides by 4: x = 19/4Step 3: Check
Plug in x to verify it's a solution.
Substitute: -6 + 4(19/4) = 13Multiply: -6 + 19 = 13Add: 13 = 13Here, we see that 13 does indeed equal 13.
∴ x = 19/4 is a solution of the equation.
In the figure below,
Answer:
B
Step-by-step explanation:
from ΔABC to ΔA'B'C' the lengths of all corresponding sides change by a scale factor of 1/2 (just look at the base and the height). In other words, the transformed triangle, ΔA'B'C', is half as big as the original triangle, ΔABC. The corresponding angles are the same.
On the 405 freeway one can travel 65 miles per hour (mph), how many kilometers per hour (kph) is the car travelling
Answer:
104.607kph
Step-by-step explanation:
Conversion from mph to kph = 1.609mph
Algebraic proofs geometry
The values of the variables can be proved by solving the the equations to get;
8. y = 3
9. k = -2
10. w = 14
11. x = -9
What is an equation?An equation is a statement that indicates that two expressions are equivalent by joining them with the '=' sign.
The method used to prove the value of the variable is by solving the equations as follows;
8. (5·y - 1)/2 = 7
Therefore;
2 × 7 = 5·y - 1
14 = 5·y - 1
5·y = 14 + 1 = 15
y = 15/5 = 3
y = 3
9. 10·k - 4 = 2·k - 20
Therefore;
10·k - 2·k = 8·k = 4 - 20 = -16
8·k = -16
k = -16/8 = -2
Therefore;
k = -2
10. -8·(w + 1) = -5·(w + 10)
-8·w - 8 = -5·w - 50
Therefore;
-5·w + 8·w = 50 - 8 = 42
3·w = 42
w = 42/3 = 14
Therefore;
w = 14
11. 14 - 2·(x + 8) = 5·x - (3·x - 34)
Therefore;
14 - 2·x - 16 = 5·x - 3·x + 34
14 - 2·x - 16 = -2·x - 2
5·x - 3·x + 34 = 2·x + 34
Therefore;
-2·x - 2 = 2·x + 34
2·x + 2·x = -2 - 34 = -36
4·x = -36
x = -36/4 = -9
x = -9
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writing equations of lines parallel and perpendicular to a given line through a point
To find the equation of a line parallel or perpendicular to a given line through a point, determine the slope and substitute the point's coordinates into the slope-intercept form.
To find the equation of a line parallel or perpendicular to a given line through a specific point, follow these steps:
1. Determine the slope of the given line. If the given line is in the form y = mx + b, the slope (m) will be the coefficient of x.
2. Parallel Line: A parallel line will have the same slope as the given line. Using the slope-intercept form (y = mx + b), substitute the slope and the coordinates of the given point into the equation to find the new y-intercept (b). This will give you the equation of the parallel line.
3. Perpendicular Line: A perpendicular line will have a slope that is the negative reciprocal of the given line's slope. Calculate the negative reciprocal of the given slope, and again use the slope-intercept form to substitute the new slope and the coordinates of the given point. Solve for the new y-intercept (b) to obtain the equation of the perpendicular line.
Remember that the final equations will be in the form y = mx + b, where m is the slope and b is the y-intercept.Therefore, To find the equation of a line parallel or perpendicular to a given line through a point, determine the slope and substitute the point's coordinates into the slope-intercept form.
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prove that (4x-5)2 -5x(3x-8) is a positive for all values of x
To prove that (4x - 5)^2 - 5x(3x - 8) is positive for all values of x, we can start by expanding the expression:
(4x - 5)^2 - 5x(3x - 8) = 16x^2 - 40x + 25 - 15x^2 + 40x = -14x^2 + 80x - 25
Now, we can complete the square to find that this expression is always positive:
-14x^2 + 80x - 25 = (-14x^2 + 80x) - 25
= (-14x^2 + 80x + (80/2)^2 - (80/2)^2) - 25
= (-14x + 40)^2 - 25 - 40^2 + 40^2
= 15^2 - 25
= (15 - 5)(15 + 5)
= 10(20)
= 200
Since this expression is equal to 200, which is a positive number, we can conclude that (4x - 5)^2 - 5x(3x - 8) is positive for all values of x.
WILL GIVE BRAINLIEST (BTW GIVE AN EXPLANATION)
Question 8(Multiple Choice Worth 1 points)
(05.05 MC)
Male and female students were asked which location they would most want to visit. They had the following preferences:
Which location would you most like to visit?
Hawaii Paris Row totals
Male students 0.38 0.12 0.50
Female students 0.26 0.24 0.50
Column totals 0.64 0.36 1
Which of the following is a two-way conditional relative frequency table for gender?
Which location would you most like to visit?
Hawaii Paris Row totals
Male students 0.76 0.24 1
Female students 0.52 0.48 1
Which location would you most like to visit?
Hawaii Paris Row totals
Male students 38 12 50
Female students 26 24 50
Column totals 64 36 100
Which location would you most like to visit?
Hawaii Paris
Male students 0.59 0.33
Female students 0.41 0.67
Column totals 1 1
Which location would you most like to visit?
Hawaii Paris Row totals
Male students 190 60 250
Female students 130 120 250
Column totals 320 180 500
Answer:
Step-by-step explanation:
The Answer Should Look Like this:
Which location would you most like to visit?
Hawaii Paris Row totals
M students 0.76 0.24 1
F students 0.52 0.48 1
This is correct because it is a table with two topics. M and f students.
Another way i know is because i got it right on the test, Hence, the answer above is correct.
Answer:
The correct answer would be A, the first graph.
Step-by-step explanation:
It displays a two-way frequency table for gender.
Hope this helped! <3
To take a taxi, it costs $3.00 plus an additional $2.00 per mile traveled. You spend $20 on the taxi. How many miles did you go?
Answer: 8.5 miles
Step-by-step explanation:
Given information
Base fee = $3.00
Fee per mile = $2.00
Distance = x
Total money spend = $20
Set equation
3 + 2x = 20
Subtract 3 on both sides
3 + 2x - 3 = 20 - 3
2x = 17
Divide 2 on both sides
2x / 2 = 17 / 2
\(\boxed{x=8.5}\)
Hope this helps!! :)
Please let me know if you have any questions
Two points A(0, -4), B(2, -1) determine line AB.
What is the equation of the line AB?
Answer:
Answer: y=3/2x-4
Justin lost 3 pounds a month for five months eating healthy what integer represents his change in weight at the end of five months
Answer:
Also, it should be -15
Step-by-step explanation:
Losing 3 pounds a month is a negative, and if he's done it for 5 months (5 times) then it should be 15 pound overall that he lost, so it's -15.
Answer:
-15 would be the correct answer
Select the correct answer.
Which expression is equivalent to the given expression?
3z² + 5x - 7(2²+4)
O A. -42² + 5x - 28
O B.2² +28
OC. 2² +4
OD. -42² + 5z - 4
Answer:
Step-by-step explanation:
3z² + 5x - 7(2²+4)
= 3z² + 5x - 7*8
= 3z² + 5x - 56
Realy need help if you help thank you so much
Answer:
B
Step-by-step explanation:
Rate, in this case, is mph which can be written as miles/hours.
HTH :)
The story “Raymond’s Run” is about a girl named Squeaky who is responsible for caring for her brother, Raymond. We learn that Raymond has a mental disability and is sometimes a challenge to care for. Think of a time when you have been responsible for caring for someone else. Your experience could be babysitting for a neighbor’s child, helping to care for a pet, or helping an elderly relative. If you had not had this experience, think about a time someone close to you had this responsibility; or, imagine what being in this situation would be like. What lessons did you (or could you) learn from this experience? Your response should be about 150 words. answer right!
Answer:
Step-by-step explanation:
Once I hit the age eleven I've had to watch over my older sister who has a disability. I would "babysit" her when my mom was busy, or outside, and I would have to make sure she was okay every 10 to 15 minutes. She is 26 years old and has a mind of a 4-7-year-old, which means I have to get her food, turn the lights on and off, plugging things in for her. Which of course I do not mind. She does get irritated with me at times when I try to help her since she is very independent. When I was eleven I only had to watch her for a short period of time, but as I got older the time expanded, now it mostly depends on what my mom is doing or if my brother is home. My situation is very similar to Squeaky and her brother Raymond.
students ask questions during lectures at a rate of 6 per hour. the distribution of questions is poisson. what is the probability that no questions were asked during the rst 15 minutes of the lecture and exactly 2 questions were asked during the next 15 minutes?
The probability of no questions being asked during the first 15 minutes of a lecture and exactly 2 questions being asked during the next 15 minutes can be calculated using the Poisson distribution.
The Poisson distribution is used to model the number of events occurring in a fixed interval of time or space, when the events are rare and occur independently. In this case, we have a rate of 6 questions per hour, which means on average, 6 questions are asked in an hour. To calculate the rate for 15 minutes, we divide the rate by 4 since there are four 15-minute intervals in an hour. This gives us a rate of 1.5 questions per 15 minutes.
Now, we can calculate the probability of no questions during the first 15 minutes using the Poisson formula:
P(X = 0) = (e^(-lambda) * lambda^0) / 0!
Substituting lambda with 1.5 (the rate for 15 minutes), we get:
P(X = 0) = (e^(-1.5) * 1.5^0) / 0!
Next, we calculate the probability of exactly 2 questions during the next 15 minutes using the same formula:
P(X = 2) = (e^(-lambda) * lambda^2) / 2!
Substituting lambda with 1.5, we get:
P(X = 2) = (e^(-1.5) * 1.5^2) / 2!
By multiplying the two probabilities together, we obtain the probability that no questions were asked during the first 15 minutes and exactly 2 questions were asked during the next 15 minutes.
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