Answers
Step-by-step explanation:
\( \underline{ \underline{ \text{Given}}} : \)
-4x - y = 19 -------- Equation ( i ) x - 2y = -7 ----------- Equation ( ii )\( \underline{ \underline{ \text{To \: find}}} : \)
Value of x & y\( \underline {\underline{ \text{ Solution}}} : \)
From equation ( i ) :
-4x - y = 19
-y = 19 + 4x
-y = - ( -19 - 4x )
y = -4x - 19 ------ Equation ( iii )
Substituting the value of y from equation ( iii ) in equation ( ii ) , we get :
\( \tt{x - 2y = - 7 }\)
⇾ \( \tt{x - 2( - 4x - 19) = - 7}\)
⇾ \( \tt{x + 8x + 38 = - 7}\)
⇾ \( \tt{9x = - 7 - 38}\)
⇾ \( \tt{9x = - 45}\)
⇾ \( \tt{x = \frac{ - 45}{9}} \)
⇾ \( \boxed{ \tt{x = - 5}}\)
Substituting the value of x in equation ( i ) , we get :
⇾ \( \tt{ - 5 - 2y = - 7}\)
⇾ \( \tt{ - 2y = - 7 + 5}\)
⇾ \( \tt{ - 2y = - 2}\)
⇾ \( \tt{y = \frac{ - 2}{ - 2}} \)
⇾ \( \boxed{ \tt{y = 1}}\)
The possible solution of the system is ordered pair ( x , y ) = ( -5 , 1 ) .
\( \red{ \boxed{ \boxed { \tt{Our \: final \: answer : \boxed{ \tt{( - 5 \:, 1 \: )}}}}}}\)
Hope I helped ! ツ
Have a wonderful day / night ! ♡
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Related Questions
Help me please!!!
ASAP!!
Answers
Answer:
Hello with the simplified expression the answer is 2
Step-by-step explanation:
1. Which expression is equivalent
to 3-9?
a. 3 + 9
b. -3 -9
c. 3 + (-9)
d. 3 - (-9)
Answers
C
Step-by-step explanation
3-9
Is equivalent to 3+(-9)
They are the same
Answer:
C.
Becz 3 + -9 = 3 - 9
please mark as the brainlest answer
you have a cake that is 16 inches by 18 inches.you want each piece to be exactly the same size.how many people can u serve equal sized piece of cake
Answers
The number of people are 72.
What is HCF?Highest Common Factor is the full name for HCF in mathematics.
According to the laws of mathematics, the highest positive integer that divides two or more positive integers without leaving a residual is known as the greatest common divisor, or gcd.
What is LCM?Least Common Multiple is the full name for LCM in mathematics.
LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM.
We need to know the size of the pieces in order to calculate how many people can be fed equal-sized pieces of cake from a 16 by 18-inch cake.
Assume that each piece is a square with sides measuring "x" in length. Each piece's area would be x², and the cake's overall area would be 16 x 18 inches, or 288 square inches.
We must divide the entire area of the cake by the area of each piece to determine the maximum number of pieces that can be cut from the cake:
288 / x² = (16*18) / x² = 288 / x²
Choosing a "x" value that evenly splits into 16 and 18 is necessary if we want every piece to be the exact same size. Since 2 is the greatest possible value, we can divide the cake into 8 rows of 9 squares, yielding a total of 72 pieces.
As a result, a cake measuring 16 inches by 18 inches can be divided into 72 equal-sized pieces, each measuring 2 inches by 2 inches.
To know more about HCF visit:
https://brainly.com/question/29114178
#SPJ1
We can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.
What is area?A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane.
To find out how many people can be served equal-sized pieces of cake from a cake that is 16 inches by 18 inches, we need to first determine the size of each piece of cake.
The total area of the cake is:
16 inches x 18 inches = 288 square inches
To divide the cake into equal-sized pieces, we need to determine the size of each piece. Let's assume we want each piece to be a square. To find the size of each square, we need to find the square root of the total area of the cake:
√(288 square inches) ≈ 16.97 inches
Since we want the pieces to be exactly the same size, we'll round down to the nearest inch, which gives us:
Each piece of cake will be approximately 16 inches by 16 inches.
To find out how many people can be served equal-sized pieces of cake, we need to divide the total area of the cake by the area of each piece:
288 square inches ÷ (16 inches x 16 inches) = 18
Therefore, we can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.
Learn more about area on:
https://brainly.com/question/16519513
#SPJ1
A blue whale can weigh up to 400,000 pounds. A standard school bus has a gross weight of 25,000 pounds. How many school buses are equivalent to the weight of a blue whale?
Answers
Answer:
16 school buses
Step-by-step explanation:
400,000/25,000 = 16
25,000*16 = 400,000
A ticket booth sold 451 tickets and collected $1107 in ticket sales. Adult tickets are $3 and child tickets are $1. 50. How many tickets of each type were sold?
Answers
The ticket booth sold 307 adult tickets and 144 child tickets.
Let's assume that x represents the number of adult tickets sold and y represents the number of child tickets sold. We can set up a system of equations based on the given information.
From the problem, we know that a total of 451 tickets were sold, so we have the equation x + y = 451.
We also know that the total revenue from ticket sales was $1107, and adult tickets cost $3 while child tickets cost $1.50. Therefore, we have the equation 3x + 1.50y = 1107.
To solve this system of equations, we can use substitution or elimination. Let's use substitution in this case.
From the first equation, we can express x in terms of y: x = 451 - y.
Substituting this into the second equation, we get 3(451 - y) + 1.50y = 1107.
Simplifying, we have 1353 - 3y + 1.50y = 1107.
Combining like terms, we get -1.50y = -246.
Dividing both sides by -1.50, we find that y = 164.
Substituting this value back into the first equation, we can determine that x = 451 - 164 = 287.
Therefore, 307 adult tickets and 144 child tickets were sold.
Learn more about system of equations here:
https://brainly.com/question/20067450
#SPJ11
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 212w 16, where
I represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length
of the rectangle?
07 in
8 in
9 in
10 in
Answers
Answer:
7
Step-by-step explanation:
2l + 2w = 16
2 (l + w) = 16
l + w = 8
l = 8 - w
l = 7
HELP PLS WHAT DO I PUT IN THE BLANKS
Answers
Answer:
The answer is -7. This equation only has one solution. It makes the equation -2 = -2.
For the second part, you can use a number like 7 and then that would make it be 2 = -2. Hope this Helps!
531
x 47
Long multiplication :) please help
Answers
If the measure of an angle is 3a, what is the measure of its complement?
Answers
Answer:
Complementary angles are two angles that add up to 90°.
For this, we need to know what the value of a is. If you have this value, plug it into this equation:
90 - 3a = measure of complementary angle
For example, if a = 20:
90 - 3(20) = x
90 - 60 = x
30° = measure of complementary angle
If g(x) = 3(x − 2), find the value of x if g(x) = 6.
A. 12
B. 2.6
C. 8
D. 4
Answers
6 = 3x - 6
3x = 12, x = 4
Solution: D
or
On Saturday mornings, Madelyn volunteers at the hospital where her mother works. One Saturday, she answers phone calls at the information desk while the receptionist is away. Then she spends 40 minutes delivering flowers to patients' rooms. In all, Madelyn volunteers at the hospital for 90 minutes that day.
Which equation can you use to find the amount of time t that Madelyn answers phone calls?
Answers
Answer:
90-50=40 so she answers phone calls for 50 min
Step-by-step explanation:
the price of a widget was $745. over five years, the price dropped to $390. assume a linear trend. (a) find a linear model p
Answers
When a widget of price $745 dropped to $390 over five years, the linear trend of price can be expressed as y = -71x + 745, where y is the price of the widget and x is the number of years passed.
A linear trend implies the trend can be represented by a linear equation. The highest power of the variable in a linear equation is 1.
Let us say the trend is expressed as y = mx + c, where y is the price of the widget and x is the number of years passed.
Initially, that is when x = 0 the price is $745. Substituting this
745 = m × 0 + c
Therefore, c = 745.
Over 5 years, that is when x = 5 the price is $390. Substituting this
390 = m × 5 + 745
m = - (745 - 390)/ 5
m = -71
In the case of a widget whose price dropped from $745 to $390 over a period of five years, the linear price trend is given by y = -71x + 745, where y is the widget's price and x is the number of years that have passed.
Consequently, the solution is y = -71x + 745.
If a trend is linear, then a linear equation can be used to describe it. The maximum power of a variable in a linear equation is 1.
Let us imagine the trend is expressed as y = mx + c, where y is the price of the widget and x is the number of years elapsed.
In the beginning, when x = 0, the cost is $745. Replacing this
745 = m × 0 + c
C thus equals 745.
When x = 5, the cost is $390 over a 5-year period. Replacing this
390 = m × 5 + 745
m = - (745 - 390)/ 5
m = -71
Therefore, the answer is y = -71x + 745
To learn more about linear trends, refer:-
https://brainly.com/question/10363060
#SPJ4
Solve this problem pls
Answers
The smallest number of packages of each item she can buy would be = 1 package of cups, 1.1 package of plates and 1.2 package of forks.
How to calculate the number of each package?The number of cups in a package = 6
The number of plates in a package = 9
The number of forks in a package = 10
The total number of items = 6+9+10 = 25 items
To purchase the same number of items for the party;
= 25/3 = 8
Therefore for cups = 6/8 = 1 package (approximately)
for plates = 9/8 = 1.1 package
for forks = 10/8 = 1.3 package.
Learn more about division here:
https://brainly.com/question/25289437
#SPJ1
8.
Write these numbers in order from least to greatest:
.2 , , % ,
, .2 , % ,
, .2 , ,%
0.2, , 75%,
0.2 , , 75%,
9.
Steven borrowed $30 to go to the movies from his parents.
After doing chores, he was able to pay his mom back $24.
What percent of the debt has Steven paid back?
____%
80%
30%
24%
70%
10.
According to the label, a bag of chips contain 6 grams of fat, which is 8% of the recommended daily value.
How many total daily grams of fat are recommended in a day?
75 grams total
8 grams total
48 grams total
80 grams total
11.
Select 3 expressions that are equivalent to the shaded portion of the figure.
6%
6/100
60%
3/50
3/5
0.6
12.
iPad's are on sale for 20% off the original price.
The original price of the Ipad I want is $540.
What is 20% off of $540? *this answer will be the discount taken off the original price
$20 off
$54 off
$108 off
$18 off
13.
Using your answer from #12, what is the sale price of the iPad?
*This is what you will pay at the register with the discount taken off the price
*sale price = original - $ discount
$430
$500
$432
$520
14.
The table shows the percent of the county’s recycling programs.
What percent of the recycling comes from the Midwest?
60%
40%
70%
50%
15.
Based on your answer from Questions #14, answer this question.
If there are 90 recycling programs, how many recycling programs are in the Midwest?
There are 54 recycling programs in the Midwest
There are 36 recycling programs in the Midwest
There are 90 recycling programs in the Midwest
There are 38 recycling programs in the Midwest
16.
In a survey, students were asked their favorite lunch item.
What percent of students chose pizza as their favorite lunch item?
17.
For dinner your family went to a restaurant and the food came to a total of $76.80.
Using estimation, you decide that you want to leave a 20% tip.
Fill in the receipt shown. About how much of a tip/gratuity will you leave?
$10 tip
$27 tip
$16 tip
$5 tip
18.
For dinner your family went to a restaurant and the food came to a total of $76.80.
Based on the estimated tip left from Question #22, fill in your total amount spent.
*Use 76.80 + question #22's answer
$ _________
$100.80
$92.00
$92.80
$80.80
19.
At Walmart, you see a big bag of Halloween candy marked 70% off. What a deal!!!!
If the bag originally is marked $18.59, (using estimation) about how much will you save on the bag of candy?
*finding the discount amount
$6 off
$20 off
$34 off
$14 off
20.
Based off your answer from question #19, answer this.
About how much would you pay for the bag of candy? *you are finding the sale price
Original $ - Discount $ = sale price
I would pay about $4 for the bag of candy.
I would pay about $25 for the bag of candy.
I would pay about $16 for the bag of candy.
I would pay about $36 for the bag of candy.
Answers
Answer:
3
Step-by-step explanation:2-5
A circle has a circumference of 7{,}8507,8507, comma, 850 units. What is the radius of the circle?
Use 3. 14 for pi and enter your answer as a decimal
Answers
7,850 = 2 * 3.14 * r
Now, we'll solve for r:
7,850 = 6.28 * r
r = 7,850 / 6.28
r ≈ 1,250
So, the radius of the circle is approximately 1,250 units.
you have a 10 mile one way distance to commute to work. the cost of your travel time is $60/hour. weather is not a factor. which mode should you use to commute?
Answers
Driving a personal car would be the most cost-effective mode of transportation for this commute, with a total daily cost of approximately $4.60 ($3.60 for gas + $1 for travel time).
Based on the given information, the most cost-effective mode of transportation for this commute would be to drive a personal car. Taking public transportation or carpooling may be more environmentally friendly options, but they may not save as much money as driving alone.
Assuming an average speed of 60 miles per hour on the highway, the commute would take approximately 20 minutes each way, or 40 minutes round-trip. This means the total cost of travel time for each workday would be $40 ($60/hour x 2/3 hour).
Using a cost calculator such as GasBuddy, we can estimate that the cost of driving 20 miles per day (round-trip) would be around $3.60 per day, assuming an average fuel efficiency of 25 miles per gallon and a gasoline price of $2.50 per gallon.
To know more about average speed visit:
https://brainly.com/question/10449029
#SPJ11
There are 96 raisins and 24 cashews in each package of granola.
What is the unit rate in raisins per cashew?
4
12
20
96
Answers
96/24 =4
hope this helps
5. Janet Gilbert is director of labs. She has some extra capacity and has contracted with some small neighboring hospitals to run some of their lab tests. She has recently had a study conducted and has determined that her costs of these contracts are $10,000 of which $7,000 are for supplies and items related to each test. She currently charges an average of $10.00 per lab test. She is thinking of lowering her price by 20 percent in hopes of raising her current volume of 10,000 tests by 15 percent.
Answers
Answer:
Check the explanation
Step-by-step explanation:
Present predicted
Revenue - per test 10000 8000
Variable cost - per test 7000 7000
Contribution – per test 3000 1000
Net income (10,000 test – 11,500 tests) 30,000,000 11,500,000
help asap if you can pls an thank u!!!!!!!
Answers
The value of angle S is 53°
What is exterior angle theorem?Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.
With this theorem we can say that
7x+2 = 4x+13+19
collecting like terms
7x -4x = 13+19-2
3x = 30
divide both sides by 3
x = 30/3
x = 10
Since x = 10
angle S = 4x+13
angle S = 4(10) +13
= 40+13
= 53°
Therefore the measure of angle S is 53°
learn more about exterior angle theorem from
https://brainly.com/question/17307144
#SPJ1
Kai wants to buy a new surfboard. He earns $12.50 each time he mows a lawn. He keeps track of the total amount of money that he has, y, with the equation y-12.5x+30
. The x represents the number of lawns that Kai mows. What does the y-intercept represent in this equation?
A
The cost of the surfboard
B
The number of lawns that Kai mows
C
The total money that Kai will make
D
The money that Kai started with before he mowed any lawns
Answers
Answer:
D. The money that Kai started with before he mowed any lawns.
Step-by-step explanation:
We Know
The equation is y = mx + b
The x represents the number of lawns that Kai mows.
What does the y-intercept represent in this equation?
The y-intercept is when the x = 0, meaning the y-intercept is the amount of money he has when mowing 0 lawn. So, the answer is D.
Answer:
The Answer is D
Step-by-step explanation:
Which shows an explicit formula for a sequence whose first term is 8 and
whose common difference is 7?
Answers
Answer:
7n + 1
Step-by-step explanation:
the general formula for figuring out the formula of a sequence is a + (n - 1)d, where a = the first term and d = the common difference
The question tells u that the first term is 8 and the common difference is 7
Knowing this, you can substitute those values into the formula and simplify:
a + (n - 1)d
= 8 + (n - 1)*7
= 8 + (7n -7)
= 8 + 7n - 7
= 7n - 7 + 8
= 7n + 1
and there's your explicit formula! hope this helped!
Can you guys check these :) I’ll give brainleist :)
Answers
Answer:
9. No
10. Yes
Step-by-step explanation:
The first one is not, since you have (3, 3) and (3, 9). In a function, each x maps to a single y.
The second one is since every x appears only once.
A square piece of gold has sides that are 6 millimeters long. What is the piece of gold's area?
Answers
Step-by-step explanation:
It is a square so the sides are all equal
area = side X side
= 6 mm X 6 mm = 36 mm^2
5 cm
4 cm
6 cm
Find the total surface area of this cuboid
Answers
Answer:
SA = 148 cm^2
Step-by-step explanation:
The surface area of a cube is given
SA = 2 ( lw+ wh+lh) where l is the length, w is the width and h is the height
SA = 2 ( 5*4+ 4*6+ 5*6)
SA = 2 ( 20+ 24+ 30)
SA = 2( 74)
SA = 148 cm^2
dr. shamus khan studied one of the most elite boarding schools in the nation. suppose that graduate student kia darby replicates dr. khan's methodology in her study of public schools in appalachia. kia group of answer choices gathers statistical data from archives. compares three schools from the same region. becomes a teacher at a public school in appalachia. sends a survey to district superintendents in the region.
Answers
The most appropriate replication method for Kia Darby's study of public schools in Appalachia is to compare three schools from the same region, as opposed to replicating Dr. Shamus Khan's methodology of studying an elite boarding school.
Replication is an important aspect of scientific research that allows for the verification of research findings and the strengthening of scientific knowledge. However, it is essential to choose an appropriate replication method that is aligned with the research question, context, and variables.
Dr. Shamus Khan's study of an elite boarding school cannot be replicated in the context of public schools in Appalachia. The educational setting, student demographics, and institutional resources are vastly different, making it challenging to compare and generalize findings.
Comparing three public schools from the same region is a more appropriate replication method for Kia Darby's study. This approach allows for the control of confounding variables and the examination of similarities and differences in school performance, culture, and outcomes. Additionally, Kia could gather statistical data from archives, conduct interviews with school personnel and students, and observe classroom interactions to gain a comprehensive understanding of the research question.
Overall, replication is a crucial aspect of scientific research, and researchers should carefully consider the replication method that aligns with their research question and context.
Learn more about replication here: brainly.com/question/31456037
#SPJ11
Determine what number to multiply the first equation by to form opposite terms for the x-variable.
2
5
x + 6y = -10
–2x – 2y = 40
Multiplying the first equation by
will create opposite x terms
Answers
To create opposite x terms, we need to multiply the first equation by -5.
How to choose what term to multiply the first equation?
To choose what term to multiply the first equation, we need to consider the coefficients of the variable that we want to eliminate (in this case, the x variable) in both equations. Our goal is to create opposite terms for that variable in the two equations, so that when we add or subtract the equations, that variable will be eliminated.
Determining the number to multiply the first equation by to form opposite terms for the x-variable :
In this case, the coefficient of x in the first equation is 2/5, and the coefficient of x in the second equation is -2.
To create opposite terms for x, we need to find a constant that, when multiplied by the first equation, will result in a coefficient of x that is the negative of the coefficient of x in the second equation (i.e., -2).
To do this, we can divide the coefficient of x in the second equation by the coefficient of x in the first equation, and then multiply the entire first equation by the resulting constant.
In this case, we have:
\((-2)/(2/5) = -5\)
Multiplying the first equation by -5 gives:
\(-5(2/5)x + (-5)6y = -5(-10)\)
which simplifies to:
\(-2x - 30y = 50\)
Now we have two equations with opposite x terms:
\(-2x - 4y = 40\)
\(-2x - 30y = 50\)
To know more about equations visit :
brainly.com/question/17149704
#SPJ1
A factory used 72 kg of tomatoes to make 8 batches of pasta sauce. What quantity of tomatoes did the factory put in each batch?
Answers
Answer:
9 kg in each patch
Step-by-step explanation:
because total quantity of tomatoes is 72kg and factory going to make only 8 batches of pasta sauce.therefore 72÷8=9
Volume of a cube (cm') = width (cm) x height (cm) x length (cm). 1.1) Using the equation above, determine the volume of a cube that measures 3 cm wide, 3 cm tall, and 3 cm long. 1.2) Let's say this cube is made out of ice and has a mass of 24.76 grams (g). What is this ice cube's density? 1.3) The density of liquid water is slightly higher than that of frozen water ice. Liquid water's density at standard pressures and temperatures is 1.00 grams per cubic centimeter (g/cm'). Given that density, what is the mass of a cube of water measuring 3 cm wide, 3 cm tall, and 3 cm long? 1.4) Compare the weight of the water you calculated in question 1.3 with the weight of the ice of the same volume given in question 1.2. Which is heavier, the liquid water or the ice? Notice that the cube of water is the same size (or volume) as the cube of ice. 1.5) You know that ice floats on water. Explain why.
Answers
1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).
1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.
1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:
Volume = 3 cm x 3 cm x 3 cm = 27 cm³.
Therefore, the volume of the cube is 27 cubic centimeters.
1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:
Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.
Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).
1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:
Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.
Therefore, the mass of the water cube is 27 grams.
1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.
Therefore, the weight of the water and the ice would be the same under the same conditions.
1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.
When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.
In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.
Learn more about cube;
brainly.com/question/15420947
#SPJ4
A professor collects 50 independent and identically distributed observations of variables Y and X for a regression. Her student wishes to use the same data to run the same regression but the student makes an error of entering each observation twice. That is the student enters observation 1 twice, observation 2 twice and so forth so that the student has a sample of 100. Which OLS assumption is violated if the student uses this data to run a regression? Suppose the student does run a regression, will the slope coefficients be different from the professor’s regression?
Answers
The coefficients obtained by the student may be less efficient and have larger standard errors compared to the professor's regression.
If the student enters each observation twice, resulting in a sample size of 100 instead of the original 50, the assumption of independent observations is violated in Ordinary Least Squares (OLS) regression. The OLS assumption assumes that the observations are independent, meaning that the value of one observation does not depend on the value of another observation.
In this case, the student's dataset contains repeated observations, which introduces dependence between observations. This violation of the independence assumption can lead to biased and inconsistent parameter estimates in the regression analysis.
Regarding the slope coefficients, if the student runs a regression using the duplicated data, the estimated coefficients may be different from the professor's regression. The duplication of observations inflates the sample size, potentially affecting the precision and accuracy of the estimates.
However, the direction and overall relationship between the variables may still be captured by the student's regression, although the estimates may not be as reliable.
learn more about coefficients here
https://brainly.com/question/1594145
#SPJ11
is the complex vector space of polynomials consist of complex-valued functions of a complex variable?
Answers
The complex vector space of polynomials is a vector space over complex number fields and is composed of complex-valued functions of a complex variable.
A vector represents a mathematical entity with both magnitude and direction. When the vector elements are generally complex numerals, then the column space is referred to as complex. The set of polynomials in such a vector space generates the space over the domain of complex numbers by combining extra polynomials that are each specified portion and by multiplying each coefficient by the scalar.
In this vector space, the polynomials are vectors whereas the complex numerals are scalars. These requirements for the space are in addition also catered by this space, like the associativity and commutativity of vector addition, the presence of additive inverses, the distributivity of scalar multiplication over vector addition, and the existence of a neutral element with respect to vector addition.
Read more about complex vector space on:
https://brainly.com/question/14466269
#SPJ4