The coordinates of vertex D in the parallelogram ABCD are (7,-3).
What is the relation of vertex in a parallelogram?In a parallelogram, opposite sides are parallel and congruent. Therefore, the vector that goes from vertex A to vertex B is the same as the vector that goes from vertex C to vertex D, and the vector that goes from vertex B to vertex C is the same as the vector that goes from vertex D to vertex A.
The vector from vertex A to vertex B is [tex]< 5-(-3), 7-1 > = < 8,6 >[/tex]
So, the vector from vertex C to vertex D is also [tex]< 8,6 >[/tex]
The vector from vertex B to vertex C is [tex]< 6-5, 2-7 > = < 1,-5 >[/tex]
So, the vector from vertex D to vertex A is also [tex]< 1,-5 >[/tex]
To find the coordinates of vertex D, we can add the vector from vertex C to vertex D to the coordinates of vertex C.
The coordinates of vertex C are (6, 2)
So, the coordinates of vertex D are [tex](6+1, 2-5) = (7, -3)[/tex]
Therefore, the coordinates of vertex D in the parallelogram ABCD are (7,-3).
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What do you call the angle measures 90 180 and 270?
An angle that measures 90 degrees is called a right angle, an angle that measures 180 degrees is called a straight angle and an angle that measures 270 degrees is called a reflex angle.
A right angle is an angle that measures exactly 90 degrees. It is formed by the intersection of two lines that are perpendicular to each other. A right angle is symbolized by a small square at the vertex of the angle.
A straight angle is an angle that measures exactly 180 degrees. It is formed by the intersection of two lines that are collinear, that is, they lie on the same line. A straight angle is represented by a straight line, usually with an arrow on one end pointing in the direction of the other end.
A reflex angle is an angle that measures greater than 180 degrees but less than 360 degrees. It is formed by the intersection of two lines that are not collinear, that is, they don't lie on the same line and the angle is greater than a straight angle. A reflex angle is represented by an arc with a curved arrow on one end, pointing in the direction of the other end.
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Please help fast
a rock is thrown off a bridge 40 feet above a river at an initial velocity of 96 feet per second. The height h, in feet, of the rock t seconds after it was thrown can be modeled by the function h(t)=-16t^2 +96t+40. Find the height of rock 4 seconds after it was thrown.
The height of rock 4 seconds after it was thrown is 168 ft.
What is speed?Speed is measured as distance moved over time.
Speed = Distance/ Time.
Here, given that,
we have
a rock is thrown off a bridge 40 feet above a river at an initial velocity of 96 feet per second.
The height h, in feet, of the rock
t seconds after it was thrown can be modeled by the function
h(t)=-16t^2 +96t+40.
where
h -----> is the height in feet of the rock
t -----> the time in seconds
For , t=4, we get,
substitute the value of t in the function and find the value of h
h(4)=-16×4^2 +96×4+40.
So, h= 168
Hence, the height of rock 4 seconds after it was thrown is 168 ft.
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A kite is shaped like an isosceles triangle. To the nearest tenth what is the length of the spine?
Answer: 73.2
Step-by-step explanation:
78/2 is 39. Now, use the pythagorean theorem to find the hypoteuse (in this case the spine), which is about 73.2
Complete each nuclear fission reaction. 235 92 u 1 0 n → 90 36 kr a 56 ba 3 1 0 n a: 239 94 pu 1 0 n → b c ba 91 38 sr 3 1 0 n b: c:
a: 235 92 U + 1 0 n → 90 36 Kr + 141 56 Ba + 3 1 0 n
b: 239 94 Pu + 1 0 n → 96 38 Sr + 143 55 Ba + 3 1 0 n
c: It is not possible to complete this nuclear fission reaction as it is not a valid input. There is no nuclide with the atomic number 94 and mass number 239.
What is nuclear fission?Nuclear reactions are those that involve the nucleus of an atom. Nuclear fission involves the splitting of an atomic nucleus and the formation of two distinct atomic species.
Nuclear fission is a nuclear reaction in which the nucleus of an atom is split into two or more smaller nuclei, along with the release of a large amount of energy. In the first reaction, an atom of Uranium-235 (U-235) is hit by a neutron, which causes the nucleus to split into Krypton-90 (Kr-90) and Barium-141 (Ba-141) along with 3 neutrons. In the second reaction, an atom of Plutonium-239 (Pu-239) is hit by a neutron, which causes the nucleus to split into Strontium-96 (Sr-96) and Barium-143 (Ba-143) along with 3 neutrons.
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How do you find Y1 and y2 on a graph?
The formula for finding slope from two points (x₁, y₁) and (x₂, y₂) on a line is m = (y₂ - y₁) / (x₂ - x₁).
Now, According to the question:
Finding Slope From Two Points Formula
The formula for finding slope from two points (x₁, y₁) and (x₂, y₂) on a line is m = (y₂ - y₁) / (x₂ - x₁). Here,
m = slope of the line
x₁ = the x-coordinate of the first point
y₁ = the y-coordinate of the first point
x₂ = the x-coordinate of the second point
y₂ = the x-coordinate of the second point
Then rise from A to B = y₂ - y₁
Run from A to B = x₂ - x₁
Then the slope, m = rise/run = (y₂ - y₁) / (x₂ - x₁)
Hence, we derived the slope formula.
Here are the steps to find the slope of a line given two points on it.
In the first point, denote the x coordinate with x₁ and denote the y-coordinate with y₁.In the second point, denote the x coordinate with x₂ and denote the y-coordinate with y₂.Find the differences y₂ - y₁ and x₂ - x₁.Divide the difference of y-coordinates by the difference of x-coordinates to find the slope (m). i.e., m = (y₂ - y₁) / (x₂ - x₁).Learn more about Slope at:
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How many positive two-digit integers are multiples of 5 and of 7?
The number of positive two-digit integers that are multiples of 5 and 7 are 2
What ae multiples?In mathematics, multiples are the results of multiplying an integer by a given number.
The multiples of 5 and 7 within 10 to 100 are
35 and 70
multiples of 5: 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95
multiples of 7: 7 14 21 28 35 42 49 56 63 70 77 84 91 98
The common numbers are 2 which are 35 and 70
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Choose three true statements about the angles of the figure
1: Z1 and the 55* angle are adjacent
2: mZ1=55* because Z1 and the 55* angle are vertical angles
3: mZ2=125* because Z2 and the 55* angle are supplementary
4: mZ2 cannot be determined from the information
5: mZ1=180*-55*
6: mZ2=180*-55*-45*
Answer:
2,5,6
Step-by-step explanation:
-Z1 and 55*are vertical angles
-Z1 and 55*are angles on a straight line=180*
this means 180*=55*+Z1
make Z1 subject of the formula- Z1=180*-55*
- mZ2,55*,45* are all angles in the given triangle
since the sum of angles in a triangLe =180*
therefore-180*=Z2+55*+45*
make Z2 the subject of the formulary
Z2=180*-55*-45*
PLEASE HELP ME :((((
Jaya has a points card for a movie theater.
• She receives 85 rewards points just for signing up.
• She earns 8. 5 points for each visit to the movie theater.
• She needs 153 points for a free movie ticket.
Equation :
Answer v=
The number of visits Jaya can make to earn his first free movie ticket is 8
Total reward points received for signing up by Jaya = 85 rewards point
Total reward points received for each visit to the theatre by Jaya = 8.5 rewards point
Total reward points needed to Jaya for getting a free movie ticket = 153 rewards point
Let x represents the number of visits to the movie theatre
According to the question,
We can write it as:
85 + 8.5x ≥ 153 ------(i)
Now subtract 85 from both the side of equations,
We will get it as follows:
85 + 8.5x - 85 ≥ 153 - 85
8.5x ≥ 68
Further solving we will get it as:
x ≥ (68/8.5) ≥ 8
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A florist sells a bundle of 12 sunflowers for $9. You can also buy single sunflowers at the same rate. Fill in the table below
Number of sunflowers: Cost ($): Unit rate ($ per sunflower):
2
4
6
8
10
12
Answer:
3$:4
Step-by-step explanation:
12/3= 4 9/3= 3
3$:4
A temperature C, in degrees Celsius, is the same as a temperature of
9
5
C+32, in degrees Fahrenheit. The hottest temperature ever recorded in Puerto Rico was 40 degrees Celsius.
What is that temperature in degrees Fahrenheit?
Write your answer as a whole number or decimal.
The temperature of the city of Puerto Rico in Fahrenheit will be 104 Fahrenheit.
What is conversion?Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.
A temperature C, in degrees Celsius, is the same as a temperature of (9/5)C + 32, in degrees Fahrenheit.
The hottest temperature ever recorded in Puerto Rico was 40 degrees Celsius.
Convert the temperature from Celcius to Fahrenheit. Then we have
⇒ (9/5)C + 32
⇒ (9/5) x 40 + 32
⇒ 9 x 8 + 32
⇒ 72 + 32
⇒ 104 F
The temperature of the city of Puerto Rico in Fahrenheit will be 104 Fahrenheit.
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Which expression is equivalent to
Answer:
4 ^ -8
Step-by-step explanation:
How do you identify if a polynomial is a sum or difference of two cubes?
Identification if a polynomial is a sum or difference of two cubes can be done by factorizing the provided polynomial.
What is a polynomial?A polynomial is a mathematical expression that is a sum of one or more terms. Each term is a constant or a variable raised to a non-negative integer power and multiplied by a coefficient. The degree of a polynomial is the highest degree of the terms in the expression. A polynomial with one variable is called a univariate polynomial, and a polynomial with more than one variable is called a multivariate polynomial. Polynomials are used in various areas of mathematics, physics, engineering, computer science, and other fields. They can be used to model a wide range of phenomena and to solve problems that involve polynomial equations or inequalities.
What do you mean by factorization?Factorization, also known as factoring, is the process of breaking down a mathematical expression into a product of simpler factors. The goal is to express a given expression as a product of simpler expressions, which can be useful in solving equations and understanding the structure of the expression.
Factor the polynomial completely into its irreducible factors.
Look for terms that are of the form (x - a)^3 or (x + a)^3, where a is a constant. These are the cubes that you are looking for.
If there are two such terms, check if they can be combined into a single term by adding or subtracting them. If they can, then the polynomial is a sum or difference of two cubes.
If there are more than two such terms, check if any two of them can be combined in the same way. If they can, then the polynomial is a sum or difference of two cubes.
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6. Shenandoah's test scores were 70, 80, 80, and 90. What was his weighted average if the
tests were weighted 1, 3, 5, and 4, in that order?
The weighted average of Shenandoah's test scores is 82.3.
What is the weighted average?
To find a weighted average, multiply each number by its weight, then add the results. If the weights don't add up to one, find the sum of all the variables multiplied by their weight, then divide by the sum of the weights.
To calculate a weighted average, we need to multiply each score by its corresponding weight, and then add those products up and divide by the sum of all the weights.
To calculate a non-weighted average such as a mean average, all we need to do is, sum up, the scores and divide this sum by the number of scores. For a weighted average, each score must have a frequency attached to it. This frequency is called specific weight.
So in this case,
Weighted average = (701 + 803 + 805 + 904) / (1+3+5+4) = (70 + 240 + 400 + 360) / 13 = 1070/13 = 82.3
Hence, The weighted average of Shenandoah's test scores is 82.3
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I need to know the steps in order to solve this math problem....Please briefly describe the steps
a) A function w(t) to represent the amount of water in the pool using the two functions is w(t) = -3t + 5.
b) The pool will leak out the water when w(t)=0.
c) It will take 1.67 hours to leak out all the water from the pool.
d) Yes, functions f(t) and d(t) will intersect on the graphs when the pool stops leaking all the water out.
e) The domain of the functions f(t), d(t) and w(t) are 0 ≤ t ≤ 1.67.
What are functions?
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
Subtract the amount flowing into the pool by the amount being drained out the pool to get the amount of water in the pool .
The given functions are -
Flowing: f(t) = t² + 8t + 9.
Draining: d(t) = t² + 11t + 4.
The amount of water in the pool is -
w(t) = f(t) - d(t)
w(t) = t² + 8t + 9 - t² - 11t - 4
w(t) = -3t + 5.
Therefore, the function obtained is w(t) = -3t + 5.
When the condition is w(t) = 0 then, the pool will have leaked all the water.
Plugging in the values -
-3t + 5 = 0.
3t = 5
t = 1.67.
Therefore, the pool will leak all the water in 1.67 hours.
Functions f(t) and d(t) intersect on the graph when all the water of the pool has been leaked. The graph is shown below.
The domain of a function is the set that contains all input values of the function. The input is the time in the given situation, so -
Time cannot be negative, hence t ≥ 0.
When all the water has been drained, everything stops, hence t ≤ 1.67.
Therefore, the domain of the function is 0 ≤ t ≤ 1.67.
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Jaylen has a fun-size bag SweetTarts. Inside the bag are 4 pink, 1 blue, 2 yellow, 3 purple and 2 green SweetTarts. What is the probability of drawing a yellow SweetTart three time in a row if each SweetTart selected is eaten before the next SweetTart is drawn?
The probability of picking a yellow sweet tart three times in a row is 0
What is probability?Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.
Given here, There are 4 pink, 1 blue, 2 yellow, 3 purple and 2 green SweetTarts. P(yellow ball three times in a row) = 2/12 ×1/11 ×0/10
= 0
Hence, The probability of picking a yellow sweet tart three times in a row is 0
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Compare the two linear functions listen below
The slopes of function 1 and function 2 are respectively; -4 and 2. Thus, function 1 has a negative slope
How to find the slope of a linear function?The slope is simply defined as the change in the y-values divided by corresponding change in x-values.
1) Now, the formula for the slope between two coordinates is;
Slope = (y₂ - y₁)/(x₂ - x₁)
Let us take two coordinates from the table as;
(0, 50) and (1, 46). Thus;
Slope = (46 - 50)/(1 - 0)
Slope = -4
2) The general equation for equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, we are given the equation as;
c = 2d + 10
Comparing to the standard form, we have;
Slope = 2
Thus, function 1 has a negative slope
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I’m not sure how to do this I’m trying to get my makeup work done! So I can start actually going to school and not be behind every week on somthing lol! Thank you so much to whoever helps!
Answer:
1)95
2)180
3)77
4)120
5)244
6)74
I think
Please help quickly
ES=____ units.
Round your answer to the nearest tenth.
ES is 8√2 units from the given graph.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given two points from the graph are S(4, 4) and E(-4, -4)
We need to find ES which means the distance between two points in units.
The length along a line or line segment between two points on the line or line segment.
Distance=√(x₂-x₁)²+(y₂-y₁)²
√(-4-4)²+(-4-4)²
√(-8)²+(-8)²
√64+64
√64×2
8√2 units.
Hence, ES is 8√2 units from the given graph.
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Karime walks 3/4 of a mile each day for 5 days.the number of miles karime walks altogether is between which two whole numbers?
Answer:
Step-by-step explanation:
To find the total number of miles Karime walks, we need to multiply the number of miles she walks each day by the number of days:
3/4 mile/day * 5 days = 15/4 miles
We can simplify this fraction to be:
15/4 = 3 3/4
The whole number portion of this result is 3, and the fractional portion is 3/4. Therefore, the total number of miles Karime walks is between 3 and 4.
In other words, the two whole numbers between which the total number of miles Karime walks are 3 and 4.
Total number of miles Karime walks altogether is,
⇒ 5 miles
We have to given that,
Karime walks 3/4 of a mile each day for 5 days.
Hence, To find number of miles Karime walks altogether, we can multiply 3/4 by 5.
So, We get;
Total number of miles Karime walks altogether is,
⇒ 3/4 x 5
⇒ 15 / 4
⇒ 3.75
⇒ 4 miles
Because 3.75 is nearest to 4.
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The weight (in pounds) and height (in inches) for a child were measured every few months over a two-year period. The results are given in the table.
Using technology, what is the slope of the least-squares regression line and what is its interpretation?
A) The slope is 1. 98, which means for each additional inch in height, the child’s weight will increase by 1. 98 pounds.
B) The slope is 1. 98, which means for each additional inch in height, the child’s weight is predicted to increase by 1. 98 pounds.
C) The slope is 0. 50, which means for each additional pound in weight, the child’s height will increase by 0. 5 inches.
D) The slope is 0. 50, which means for each additional pound in weight, the child’s height is predicted to increase by 0. 5 inches
Using the slope of the least-squares regression line, the interpretation will be: C) The slope is 0. 50, which means for each additional pound in weight, the child’s height will increase by 0. 5 inches.
A linear approach is linear regression, which is used to represent the relationship between a scalar answer and one or more explanatory factors in statistics. When there are many explanatory factors, multiple linear regression is employed; otherwise, simple linear regression is utilised. It is possible to predict the value of one variable using linear regression analysis and the value of another variable.
Predicting the dependent variable is what you want to do. The variable you are using to anticipate the value of the other variable is the one you are utilising as an independent variable. Lines of best fit are another name for regression lines. To demonstrate how several graph points might be connected, a line of best fit is used.
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Find the output, y, when the input, z, is -4.
y=
-8-6 -4
8
6
a f
Y
4-
2-
do
-2-
-4-
-6+
4
6/ 8
Answer:
y = 1
Step-by-step explanation:
locate x = - 4 on the x- axis, go vertically up to meet the graph at (- 4, 1 ), so
when input x = - 4 the output is y = 1
Camille thinks that -(-4) has a positive value and Laura thinks -(-4) has a negative value. Who is correct?
Select the correct answer. how many particles are in one mole?
a. 6.022 × 1023
b. 2.066 × 1023
c. 6.023 × 1022
d. 3.026 × 1022
6.022× [tex]10^2^3.[/tex]particles are in one mole.
The correct option is 6.022× [tex]10^2^3.[/tex]
Now, According to the question:
Avogadro's number
Avogadro's number, number of units in one mole of any substance (defined as its molecular weight in grams), equal to 6.02214076 × [tex]10^2^3.[/tex] The units may be electrons, atoms, ions, or molecules, depending on the nature of the substance and the character of the reaction.
Now, According to Avogadro's law, one mole of any substance contains a fixed number of particles i.e.,6.022× [tex]10^2^3.[/tex]particles (atoms, molecules or ions) which is also known by the name Avogadro's number.
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Please help asap! Appreciate everyone!
Answer:
b and c
Step-by-step explanation:
b is basically saying flip it up and turning the whole thing left which will put it on top of pnms and c is saying rotate it where line sr and sm would be side by side then flip it right
PLEASE HELP ASAP
Chris stopped for gas twice on a long car trip The price of gas at the first station was $1.45 per gallon, and the price of gas at the second station was $1.55 per gallon. On the trip, Chris bought a total of 20 gallons of gas and spent $29.80. If x = the number of gallons that Chris bought at the first station, and y = the number of gallons Chris bought at the second station, which system of equations could be used to find the number of gallons of gas Chris bought at each station.
A.1.45x + 1.55y = 20 and x + y = 29.80
B. x + y = 20 and 1.45x + 1.55y = 29.80
C. x + y = 20 and 1.45x - 1.55y = 29.80
D. xy = 20 and 1.45x + 1.55y = 29.80
The system of equations could be used to find the number of gallons of gas Chris bought at each station is,
B. x + y = 20 and 1.45x + 1.55y = 29.80.
What are linear and non-linear functions?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.
Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.
An example of a non-linear function is a quadratic function.
Given, Chris stopped for gas twice on a long car trip.
The price of gas at the first station was $1.45 per gallon, and the price of gas at the second station was $1.55 per gallon and filled a total of 20 gallons of gas and cost him a total of $29.80.
Therefore the system of linear equations that represents the context is,
x + y = 20 and 1.45x + 1.55y = 29.80.
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What are the 13 types of angles?
There are several types of angles, including: acute angles, right angles, obtuse angles, straight angles, reflex angles, complementary angles, supplementary angles, adjacent angles, linear pair, vertically opposite angles, alternate interior angles, alternate exterior angles, and corresponding angles.
Acute angles: angles measuring less than 90 degrees.
Right angles: angles measuring exactly 90 degrees.
Obtuse angles: angles measuring greater than 90 degrees but less than 180 degrees.
Straight angles: angles measuring exactly 180 degrees.
Reflex angles: angles measuring greater than 180 degrees but less than 360 degrees.
Complementary angles: two angles that add up to 90 degrees.
Supplementary angles: two angles that add up to 180 degrees.
Adjacent angles: two angles that share a common vertex and a common side but no common interior points.
Linear pair: two angles that add up to 180 degrees and share a common side.
Vertically opposite angles: two angles formed by two intersecting lines that are opposite to each other.
Alternate interior angles: two angles formed by two intersecting lines that are on opposite sides of the transversal and inside the parallel lines.
Alternate exterior angles: two angles formed by two intersecting lines that are on opposite sides of the transversal and outside the parallel lines.
Corresponding angles: two angles formed by two intersecting lines that are in the same relative position.
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If you are doing a linear regression, what is the slope of the line predicted by the null hypothesis?
Therefore , the solution of the given problem of slope comes out to be the slope won't be equal to zero if the independent variable X and the dependent variable Y have a substantial linear connection.
Define slope.
The slope-intercept formulation of an equation is used to represent each time the formula of a line is stated as y = mx + b. The line slope is represented by the m. Additionally, b is the b in the y-intercepting point (0, b). For instance, the y-intercept is at (0, 7) and the slope is 3 in
the formula y = 3x - 7.
Here,
The slope won't be equal to zero if the independent variable X and the dependent variable Y have a substantial linear connection.
:
: B not equal to 0
The slope is equal to zero according to the null hypothesis, however the slope is not equal to zero according to the alternative hypothesis.
The alternative hypothesis therefore asserts that the slope is not equal to zero, whereas the null hypothesis asserts that the slope is equal to zero.
Therefore , the solution of the given problem of slope comes out to be the slope won't be equal to zero if the independent variable X and the dependent variable Y have a substantial linear connection.
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the researcher plans to examine the effects on a groyup of randomly selecred subjects. what is wronhg with this design
In random assignment design the subjects are not randomly assigned to an experimental group and control group.
What is random assignment?Random assignment improves the study's internal validity by ensuring that there are no systematic differences between the participants in each group. This allows you to conclude that the outcomes are due to the independent variable.In most cases, participants are randomly assigned to one of two groups: control or experimental. We can assume that the groups are essentially identical with the exception of the manipulation of the independent variable in the experimental group because participants are randomly assigned to either group.Random assignment is important in experimental research because it ensures that the experimental and control groups are comparable and that any differences between them are due to random chance.The complete question:
"A researcher wishes to examine the effects of a new medical treatment on patients with Alzheimer's disease. The researcher plans to examine the effects on a group of randomly selected subjects. What is wrong with this design?
Select all that apply.
A. Subjects are not randomly assigned to an experimental group and
control group.
B. A control group is not used.
C. Only one researcher is used.
D. An entire population is not used."
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A hiker maintains an average speed of 3 3/4 km/h. How many kilometers will the hiker walk in:5hrs
help
multiple 5x 3 3/4 then change to an improper fraction
Question 3
Determine if this statement is always, sometimes, or never true.
If a < 0, then |a| = -a
Answer:
the answer is neither
Step-by-step explanation:
An integer is a whole number that can be either greater than 0, called positive, or less than 0, called negative. Zero is neither positive nor negative. Two integers that are the same distance from the origin in opposite directions are called opposites.