The given statement "the coefficients of dummy variables in multiple regression models must always be positive." is True.
Regression model:
In statistics, regression model means a statistical technique that relates a dependent variable to one or more independent variables.
Given,
Here we have the statement the coefficients of dummy variables in multiple regression models must always be positive.
Now, we have to find whether the given statement is true or not.
In order to find the statement creditability, we must know the definition of the terms coefficient and dummy variables.
Dummy variable refers the variable that takes values of 0 and 1, where the values indicate the presence or absence of something
Where as the coefficient means a number or symbol by which another number or symbol is multiplied.
Based on this definition we have found that the given statement is true.
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What is the summation of all the roots of the equation [tex]x^{2022}[/tex] = 1
Answer:
x = 1 or x = -1
Step-by-step explanation:
The only number square root and get 1 is 1 and -1. Because 2022 is an even number, so -1 will work in this case, and the final answer will be positive 1!
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Rewrite <8,-5> In coordinate notation
The vector <8,-5> when expressed in coordinate notation is (8, -5)
How to express the vector in coordinate notation?From the question, we have the following parameters that can be used in our computation:
Notation = <8, -5>
The above expression is in vector notation
To express the vector notation in a coordinate notation, we simply express the <> as ()
So, we have the following representation
(8, -5)
Hence, the coordinate notation is (8, -5)
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(06.01 lc) a car traveling in a straight line from its starting position at a speed of 65 miles per hour for 3 hours is represented by the function v(t), where t is the number of hours traveled. what units describe the area under the curve of v(t)?
The required area under the curve of function v(t) is 195 square miles, which depicts the total distance traveled by car during the 3 hours.
The area under the curve of the function v(t) represents the total distance traveled by the car over the given time period.
The function v(t) is defined as the speed of the car (in miles per hour) at any given time t (in hours). Since the speed is constant at 65 miles per hour, the graph of v(t) will be a straight horizontal line at y = 65.
To find the distance traveled, we need to multiply the speed (in miles per hour) by the time (in hours):
Distance = Speed * Time
Following the given case, the speed is 65 miles per hour, and the car traveled for 3 hours:
Distance = 65 miles/hour * 3 hours = 195 miles
So, the area under the curve of v(t) is 195 square miles, which represents the total distance traveled by car during the 3 hours.
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Select the correct answer. What are the solutions of this quadratic equation? x2 + 10 = 0
Answer:x=-5
Step-by-step explanation:
x2+10=0
0-10=-10
x2=-10
-10/2=-5
x=-5
Find the common Diff/Ratio with missing terms
The common ratio of the sequence which have first term, = 3 and third term = 192 is calculated to be 6
How to find the common ratio of the geometric sequenceThe common ratio of the sequence is calculated by comparing the preceding terms as done below
first term = a = 3
second term = a * r = 3r
third term = second term * r
= a * r * r
= 3r * r
= 3r²
The given data shows that, third term = 192
3r² = 192
divide through by 3
3r² / 3 = 192 / 3
r² = 64
r = √64
r = 8
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
-3
Step-by-step explanation:
5 + ( -8 )
-8 - 5 = -3
so final answer: -3 because ( - 8 ) so the ( - ) would go on the answer
Answer: -3
Step-by-step explanation: It would be -3 because since we are adding a negative it would go toward the negative side. Also, it can be modeled as:
5 - 8
This would still = -3.
Five identical rectangular pieces of cloth of different prints when arranged as shown form a square patch. If the perimeter of each rectangular piece is 48 cm, what is the perimeter of the square patch?
(With explanation)
Answer:
Perimeter of the square patch is 240 cm.
Step-by-step explanation:
If the perimeter of each rectangular piece is 48 cm, then the length of each side of each rectangular piece is 12 cm. When the rectangular pieces are arranged to form a square patch, the patch will have 5 rows and 5 columns of rectangular pieces. Since the rectangular pieces are identical, the length of each side of the square patch will be 5 times the length of one side of a rectangular piece. Therefore, the length of each side of the square patch will be 5 * 12 cm = 60 cm.
The perimeter of the square patch is the sum of the lengths of all four sides of the patch. Since all sides of the patch have the same length, the perimeter of the square patch will be 4 * 60 cm = 240
State the relationship between the congruent angles
4. The Windsor-Detroit International Freedom Festival hosts one of the largest fireworks displays in the world. The fireworks are set off over the Detroit River. The path of a particular firework rocket is modelled by the relation h=-4.9(t-2)+169.6, where h is the rocket's height above the water, in metres, and t is the time, in seconds.
a) How long will the rocket take to reach its maximum height? What is the maximum height?
b) A firework rocket will stay lit for an average of 5 s. What will the height of a rocket be 5 s after it is launched?
a) It takes 2 seconds for the rocket to reach the maximum height, and this maximum height is of 169.6 metres.
b) The height of the rocket five seconds after it was launched is of 125.5 metres.
How to obtain the vertex of the quadratic equation?The vertex-form definition of a quadratic function is defined as follows:
y = a(x - h)² + k.
In which the parameters are given as follows:
h is the x-coordinate of the vertex.k is the y-coordinate of the vertex.a is the leading coefficient.In the context of this problem, the height function is defined as follows:
h(t) = -4.9(t - 2)² + 169.6.
Hence the coordinates of the vertex are given as follows:
h = 2 -> maximum height at 2 seconds.k = 169.6 -> maximum height of 169.6 metres.As the leading coefficient is negative, the parabola is concave down and the vertex represents a maximum.
The height at a time of five seconds is of:
h(5) = -4.9(5 - 2)² + 169.6 = 125.5 metres.
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Given the following exponential function, identify whether the
change represents growth or decay, and determine the
percentage rate of increase or decrease.
y = 3300(0.949)^x
The function simulates exponential decay, and it degrades by 5.1% for every increment in x.
What is exponential growth & exponential decay?Explosive increase and decay are common in situations where quantities change rapidly. It has been suggested that exponential development and decay follow a geometric progression. Quantities that change exponentially rather than continually are referred to be exponentially growing or decaying.
As per the given data in the question,
An exponential function with the formula y = a[tex]r^x[/tex] is the function that is given.
a = 330
r = 0.949
The function indicates exponential growth if the base r is larger than 1. The function shows exponential decline if indeed the base r is far less than 1. In this instance, the function depicts exponential decline because the base r is smaller than 1, or 0.949.
If we want to describe the rate of reduction as a percentage, we can remove the base r by 1 and multiply it by 100.
The rate of reduction as a percentage in this instance is:
1 - 0.949 = 0.051 ×100
= 5.1%.
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calculate least squares solution using svd a matrix has the singular value decomposition what is the solution to the least-squares problem that has minimal norm ?
The Least-squares problem that has minimal norm can be given using factorization.
The least squares method is used to find the best fit for a set of data points by minimizing the sum of the offsets from the plotted curve. Singular value decomposition (SVD) is a factorization of a real or complex matrix.
It is a widely used technique to decompose a matrix into several component matrices, exposing many of the useful and interesting properties of the original matrix. The singular value decomposition, guaranteed to exist, is A=UΣV.
When we have the equation system Ax=b, we calculate the SVD of A as A=UΣVT. The matrices U and VT have a very special property. They are unitary matrices. One of the main benefits of having unitary matrices like U and VT is that if we multiply one of these matrices by its transpose (or the other way around), the result equals the identity matrix.
The singular value decomposition (SVD) of matrix A is very useful in the context of least squares problems. It is also very helpful for analyzing the properties of a matrix.
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determine whether or not the vectors U=(1, 1, 2), v=(2, 3, 1), and w=(4, 5, 5) in R³ are linearly dependent
The u(1, 1, 2), v(2, 3, 1), and w(4, 5, 5) supplied vectors are linearly dependent.
What is a Vector?A vector is a quantity with both magnitude and direction in physics. It is often depicted by an arrow with the same direction as the amount and a length proportionate to the size of the quantity. A vector lacks position, but has magnitude and direction. A vector is therefore unaffected by displacement parallel to itself as far as its length is unaltered.
As per the given information in the question,
The given vectors are:
u = (1, 1, 2)
v = (2, 3, 1) and,
w = (4, 5, 5)
If there are three scalars that are not all zero and that are dependent on a set of vectors (u, v, and w), they have been shown to be linearly dependent.
au + bv + cw = 0
⇒ a(1, 1, 2) + b(2, 3, 1) + c(4, 5, 5) = (0, 0, 0)
⇒ (a + 2b + 4c, a + 3b + 5c, 2a+ b + 5c) = (0, 0, 0)
So,
a + 2b + 4c = 0 (i)
a + 3b + 5c = 0 (ii)
2a+ b + 5c = 0 (iii)
From equation (i) and (ii)
b = -c
From equation (i)
a - 2c + 4c = 0
⇒ a = -2c
Let's assume that c = 1
So,
a = -2 and,
b = -1
Then, from the obtained values,
-2u - v + w = 0
As a result, there is a set of non-zero values for a, b, and c such that:
au + bv + cw = 0
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Check which of the following are the solutions of the equation 5x – 4y = 20.(i) (4, 0)(ii) (0, 5)(iii) (-2,5/2)(iv) (0, –5)(v) (2,-5/2)
(A) (4,0), (D) (0, -5), and (E)(2, -5/2) are the solutions of the given equation 5x – 4y = 20.
What are equations?The equals sign is a symbol used in mathematical formulas to denote the equality of two expressions.
The typical form for linear equations with two variables is Ax+By=C.
For instance, the linear equation 2x+3y=5 is in standard form.
So, we have the equation:
5x – 4y = 20
(A) (4,0)
=5x−4y
=5(4)−4(0)
=20
=RHS
(4,0): YES
(B) (0,5)
=5x−4y
=5(0)−4(5)
=−20
≠RHS
(0,5): NO
(C) (−2, 5/2)
=5x−4y
=5(−2)−4(5/2)
=−10−10
=−20
(−2, 5/2): NO
(D) (0, -5)
=5x−4y
=5(0)−4(−5)
=20
=RHS
(0, -5): YES
(E) (2, -5/2)
=5x−4y
=5(2)-4(-5/2)
=10+10
=20
=RHS
(2, -5/2): YES
Therefore, (A) (4,0), (D) (0, -5), and (E)(2, -5/2) are the solutions of the given equation 5x – 4y = 20.
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the traffic flow rate, in cars per hour, past a certain point on a highway is where is in hours and is 8 am. how many cars pass by during the time interval from 8 am to 9 am?
Following integration, we may estimate that between 6 and 8 am, 2080 automobiles will pass through the crossing.
What is integration?In mathematics, an integral assigns numerical values to functions to represent concepts like volume, area, and displacement that result from combining infinitesimally small amounts of data.
Integration is the action of locating integrals.
So, the number of automobiles that cross an intersection each hour is:
r(t) = 400 + 800t - 120t²
Integration should be carried out to establish the number of cars traveling through the intersection between 6 am and 8 am.
[tex]\begin{aligned}\int_{t_1}^{t_2} r d t & =\int_0^2 400+800 t-120 t^2 d t \\& =\left[400 t+400 t^2-40 t^3\right]_0^2 \\& =400 \times 2+400 \times 2^2-40 \times 2^3 \\& =800+1600-320 \\& =2080\end{aligned}[/tex]
Therefore, following integration, we may estimate that between 6 and 8 am, 2080 automobiles will pass through the crossing.
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Correct question:
The traffic flow rate (cars per hour) across an intersection is r ( t ) = 400 + 800 t − 120 t 2 , where t is in hours, and t =0 is 6am. How many cars pass through the intersection between 6 am and 8 am?
which of the following factors is a factor of 3x^3+18x^2+27x
The factor of the given expression is (C) (x + 3).
What are the factors?In mathematics, a divisor of an integer n, often termed a factor of n, is an integer m that may be multiplied by some number to generate n.
In this scenario, one also asserts that n is a multiple of m.
A factor is a number that is multiplied by another number to produce the desired result.
A product is a solution to a multiplication problem.
Think of a multiplication problem as components being combined to find a product.
So, we have:
3x^3+18x^2+27x
Now, take the factors out as follows:
3x^3+18x^2+27x
3x(x²+6x+9)
3x(x+3)²
Factors: (x + 3)
Therefore, the factor of the given expression is (C) (x + 3).
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Complete question;
Which of the following is a factor of 3x3 + 18x2 + 27x?
a. 9x
b. x3
c. x + 3
d. x - 3
Remata it’s 3 more than 6 times as old as her daughter Isabella. The sumo their ages is 38. What are Renata and Isabella’s ages, respectively.
Answer:
The answer to you question is 18 and 20
18 and 20
Solve 2v² + 4y = 6 by factoring.
The solutions are v =
and v=
On factorizing 2v² + 4v = 6 the obtained solutions of the quadratic equation are v = 1 and v = -3.
What is factorization by splitting middle term?
The method of Splitting the Middle Term by factorization is where you divide the middle term into two factors. We know that composite numbers can be expressed as the product of prime numbers.
Rule to factorize trinomial expression where coefficients are real numbers, is to split b (the coefficient of x) into two real numbers such that the algebraic sum of these two numbers is b and their product is c, then factorize by grouping method.
According to the given question:
Factorizing 2v² + 4v = 6 by Splitting the Middle Term method
2v² + 4v = 6
2v² + 4v - 6 = 0
2v² + 6v - 2v - 6 = 0
2v(v+3) - 2(v+3) = 0
(2v-2)(v+3) = 0
Therefore the solutions are
2v - 2 = 0 v +3 = 0
v = 1 v = -3
Hence on factorizing 2v² + 4v = 6 the obtained solutions of the quadratic equation are v = 1 and v = -3
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Look at the triangle. It is given that CD bisects ACB and that ABC is isosceles with AC = BC.
Answer options for each are:
Line AD = Line BD
Given
CPCTC
Definition of Midpoint
Definition of Angle Bisector
Reflexive Property of Congruence
SAS
SSS
ASA
For any data set, which measures of central location have only one value? A. Mode and median B. Mode and mean C. Mode and standard deviation D. Mean and median
Any data collection whose metrics of central placement only have the letter A as a value.Mode and median
For any given data set, the mode and median are the two measures of central location that have just one value. The mode is the most commonly occurring value in a given data set, while the median is the middle value in the data set when it is sorted in order from least to greatest. The mean, on the other hand, is an average of all the values in the data set, and the standard deviation is a measure of how much the values in the data set differ from each other. So, the answer is A. Mode and median.
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suppose that $1,000 is deposited into an account that yields 0.85% interest, compounded annually? how much money will be in that account at the end of 4 years?
The money in the account at the end of the 4 years is $1034
What is compound interest?
Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
Now we are given that the initial amount deposited in the account is $1000
This account is giving 0.85% And we have to figure out how much amount will be there
We use compound interest formula to find the amount
[tex]A= P(1+r/n)^{nt}\\\\A= 1000(1+0.0085)^{4}\\A = 1000(1.034)\\A= 1034[/tex]
Hence the amount will be after 4 years is $1034.
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In a circle, an angle measuring 8.7 radians intercepts an arc of length 3.9. Find the radius of the circle to the nearest 10th.
Answer:
r = .5 units
Step-by-step explanation:
8.7 R is an improper FRACTION of the 2 pi R of the entire circle ....set up a ratio:
8.7 / (2 pi) = 3.9 / x where x is the entire circumference measurement
x = 3.9 / (8.7 / (2 pi) ) = 2.82 units
To find the radius circumf = 2 pi r
2.82 = 2 pi r shows r = .5 units
Express each set in roster form. You may need to use the internet or some other reference source. C={x|x+6=10}
The roster form of the set C={x|x+6=10} is C={4}
A set is mathematically represented in a straightforward way using roster notation. The components (or members) of a set are listed in a row inside the curly brackets in the roster form. If the set comprises more than one element, a comma is used in a roster notation to indicate the separation of every two elements. Since each person is counted separately, the roster form is also known as an enumeration notation.
In the given set, the value of x is such that when it is added with 6 the result is 10.
∴x+6=10⇒x=10-6=4
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Shawn is typing a paper for class. He can type 1 2/7 pages in 1/3 of an hour. How many pages can Shawn type in one hour? A. B. C. D.
Shawn can type [tex]1\frac{6}{21}[/tex] pages in an one hour.
What is typing speed?
How many words a person can correctly type in one minute. He types at a 60 wpm rate.
Given:
Shawn is typing a paper for class. He can type 1 2/7 pages in 1/3 of an hour.
We have to find how many paged he can type in one hour.
First to convert improper fraction 1 2/7 into a fraction.
⇒ [tex]1\frac{2}{7} = \frac{7*1+2}{7} = \frac{9}{7}[/tex]
So, Shawn can type 9/7 pages in 1/3 of an hours.
i hour = 3/3
So, Shawn can type
9/7 x 3/3 = 27/21 = [tex]1\frac{6}{21}[/tex] pages in one hour.
Hence, Shawn can type [tex]1\frac{6}{21}[/tex] pages in an one hour.
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50 POINTS Giselle wants to buy the newest book in her favorite series. She has some money saved but does not want to
use all her savings on the book. Giselle’s grandma offers to pay some of the cost of the book for every weed she
pulls in her grandma’s garden.
The graph shows the cost to Giselle for the purchase of the book after pulling x weeds in her grandma’s garden.
Select True or False to describe each statement.
(2 points for each correct answer = 10 points)
SELECT True or False
Answer:
true false false true true
2) At a concert, 35% of the audience members were teenagers. If the number of audiences at the concert was 1800, what was the number of teenager members?
Answer:
630
Step-by-step explanation:
35% of 1800 = 0.35 × 1800 = 630
if we alternately flip a balanced coin and a coin that is loaded so that the probability of getting heads is 0.45, what are the mean and the standard deviation of the number of heads that we obtain in 10 flips of these coins?
Probability of getting head = 0.45
Probability of getting tail = 1- 0.45
= 0.55
No of flip flops = 10
Find the solutions by factoring 9x^2-16=0
Answer: x= 4/9
Step-by-step explanation:
9x^2-16=0
9x^2 = 16
9x = 4
x= 4/9
Many high schools now have drug-testing programs for athletes. The main goal of these programs is to reduce the use of banned substances by students who play sports. It is not practical to test every athlete for drug use regularly. Instead, school administrators give drug tests to randomly selected student athletes at unannounced times during the school year. Students who test positive face serious consequences, including letters to their parents, required counseling, and suspension from athletic participation. Drug test aren't perfect. Sometimes the tests say that athletes took a banned substance when they did not. This is known as a false positive. Other times, drug tests say that athletes are "clean" when they did take a banned substance. This is called a false negative. Suppose that 16% of the high school athletes in a large school district have taken a banned substance. The drug test used by this district has a false positive rate of 5% and a false negative rate of 10%. If a randomly chosen athlete tests positive, what is the chance that the student actually took a banned substance. Use what you have learned in this chapter to help answer the following questions about the district's drug-testing program. A. What is the probability that a randomly chosen athlete tests positive for banned substances? B. If two athletes are randomly selected, what's the probability that at least one of them tests positive? C. What's the probability that a randomly selected athlete did not take a banned substance, given they tested positive? Based on your answer, do you think an athlete who tests positive should be suspended from athletic competition for a year? Why or why not? D. What's the probability that a randomly selected athlete took a banned substance given the student tested negative? Explain why it makes sense for the drug-testing process to be designed so that this probability is less than the one you found in Question 4. E. The district decides to immediately retest and athlete who tests positive. Assume that the results of an athlete's two tests are independent. Find the probability that a student who gets a positive result on both tests actually took a banned substance (hint: took the banned substance given two positive tests). Based on your answer, do you think that an athlete who tests positive twice should be suspended from athletic competition for a year. Why or why not?
Students who test positive face serious consequences, including letters to their parents,
Someone please answer this my question is in the picture I will give you brainliest and your getting 50 points no fraud answers.
Step-by-step explanation:
I will help you sir.
Given
Opposite Sides are Congruent
Reflexive
SSS
CPCTC
Are the ratios 3:4 and 11:20 equivalent
Answer:
nah
Step-by-step explanation:
