24 groups of participants would be needed to partially counterbalance a within-subjects experiment with three treatment conditions.
Given that;
How many groups of participants would be needed to partially counterbalance a within-subjects experiment with three treatment conditions.
Every participant in an experiment is exposed to every treatment or condition in a within-subject design, sometimes referred to as a repeated measures design.
The term "between-subjects design" is comparable to this within-subjects design. People are solely assigned to one treatment in a between-subjects design. As a result, one therapy would be given to one group of volunteers, while a different treatment would be given to another group. After that, the variations between the two groups would be contrasted.
24 groups would be required for a perfectly counterbalanced design for even four treatment conditions. This would obviously be impracticable because a large enough sample size would be required to conduct such an experiment.
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y= 3cos 4 0(theta) -1
The graph of the cosine function y = 3cos(4θ) - 1 is given by the image presented at the end of the answer.
What is a cosine function?The cosine function is defined by the rule presented as follows:
g(x) = acos(bx+c)+d.
The coefficients have the roles listed as follows:
a is the amplitude of the cosine function.b: The period of the cosine function is of 2π/b.c is the phase shift of the cosine function.d is the vertical shift of the cosine function.In this problem, the definition of the function is:
y = 3cos(4θ) - 1
Considering the amplitude of 3 and the vertical shift of -1 the function will oscillate between:
-4 and 2.
(Without the vertical shift it would be between -3 and 3).
The period of the function will be as follows:
2π/b = 4
b = 2π/4
b = π/2.
Considering these features, the graph is given at the end of the answer.
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Show all of your work and use proper mathematical form and language for full marks.
- A pole 3.8m high casts a shadow 1.3m long. A nearby tree casts a shadow 4.5m long
A. How tall is the tree, correct to one decimal place? Justify your answer.
The height of the tree is 13.2 m.
What is proportional ?
The concept of proportionality in mathematics denotes the linear relationship between two quantities or variables. The size of one item increases by twofold, whereas the size of the other quantity decreases by one-tenth of the earlier amount.
We can set up a proportion comparing the height of each object to the length of the shadow.
Then , [tex]\frac{h}{s}[/tex].
=> [tex]\frac{3.8}{1.3} = \frac{h}{4.5}[/tex]
=> h = [tex]\frac{3.8*4.5}{1.3}[/tex]
=> 13.2 m.
Hence the height of the tree is 13.2 m.
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PLEASE EXPLAIN……………………..
The range of the function is y ≥ -2 so , correct option is option c
What is range of a function ?Mathematical functions can be compared to vending machines. They provide some cans or biscuits in exchange for the money provided as input. Similar to this, functions take a set of input numbers and produce a set of results. One may argue that everything in actual life can be formulated and resolved with the aid of functions. It is impossible to avoid the fact that functions are of enormous importance in our daily lives. The mathematical model of almost everything in real life, from building design and architecture to mega skyscrapers, requires functions. One feature that can be used to describe a function is its domain and range.
CalculationThe graph of the range of the given function is attached below .
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If p is portional to q and p =4.5 when q= 12 .
Find the relationship between p and q
P when q =16
Q when p= 2.4
The relationship between variables p and q is given by p = kq. Also, the value of the variable p when q = 16 is 6 and when p = 2.4, the variable q is 6.4.
How to determine the proportional relationship?Mathematically, a proportional relationship can be represented with the following mathematical expression:
p = kq
Where:
p and q are the variables.k represents the constant of proportionality.Next, we would determine the constant of proportionality (k) as follows:
Constant of proportionality (k) = p/q
Constant of proportionality (k) = 4.5/12
Constant of proportionality (k) = 0.375.
When q = 16, the variable p is given by:
p = kq
p = 0.375 × 16
p = 6.
When p = 2.4, the variable q is given by:
q = p/k
q = 2.4/0.375
q = 6.4
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what is the sum of twice a number and five is at least half the difference of six and the same number
x= 4 is a number and five is at least half the difference of six and the same number.
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.
Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.
Recognizing the units and values is crucial when using the unitary technique to a problem.
Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.
According to our question-
We must first create an equation before solving it.Finding out what the question is asking us will help us get started on this.Let's say our number is x, the value of which we do not yet know. Therefore, two times that amount would be two times, or two.That would be divided by half, or 1/2x. We must now determine what the product of 2x and 1/2x signifies.Since addition is the definition of sum, 2 + 0.5 Equals 2.5. This amount is equivalent to 10, according to the remainder of the question. That implies:learn more about unitary method click here:
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a study by tourism ontario revealed that 50% of the vacationers going to toronto visit the cn tower, 40% visit skydome and 35% visit both. what is the probability that a vacationer will visit at least one of these magnificent attractions?
0.55 is the probability that a vacationer will visit at least one of these magnificent attractions.
What is probability ?Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.
Calculation50% of the vacationers going to toronto visit the CN tower= 0.5
40% visit skydome= 0.4
35% visit both=0.35
P( At lease one) = P(Toronto) + P(Skydome) - P(Both)
P( At lease one) = 0.4 + 0.5 - 0.35
P( At lease one) = 0.55
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what is the gcf of 70x^3z and 45y^4z^2
The GCF of the expressions given as 70x³z and 45y⁴z² is 5z
How to determine the GCF of the expressions?From the question, we have the following expressions
70x^3z and 45y^4z^2
Rewrite the given expression as follows
This is represented using
70x³z and 45y⁴z²
Factor out z from the expression
So, we have the following representation
70x³ and 45y⁴z => Factored z
Factor out 5 from the expression
So, we have the following representation
14x³ and 9y⁴z => Factored 5z
So, we have
Factored = 5z
This represents the GCF
Hence, the GCF is 5z
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a street light is at the top of a 20 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. how fast is the tip of her shadow moving when she is 15 ft from the base of the pole?
The speed of the tip of her shadow would be 5.714 ft/sec. ft/sec.
let H, be the height of the pole = 20 ft.
h, be the height of the woman = 6 ft.
x, be the length of the woman's shadow,
and s, be the distance from the pole to the woman = 15
by using the equation of similar triangles,
[tex]\frac{H}{h} = \frac{(s+x)}{x}[/tex] or Hx = h(x+s)
differentiating, [tex]H\frac{dx}{dt} = h (\frac{ds}{dt} + \frac{dx}{dt} )[/tex]
[tex]20\frac{dx}{dt} = 6(4 + \frac{dx}{dt} ) = 24 + 6 \frac{dx}{dt}[/tex]
[tex]14\frac{dx}{dt} = 24[/tex],
[tex]\frac{dx}{dt} = \frac{24}{14}[/tex] ≈ 1.714 ft/sec, is how fast her shadow is lengthening.
the speed of the tip of her shadow would be the speed of shadow lengthening + speed of her traveling = 1.714 + 4 = 5.714 ft/sec.
thus, a street light is at the top of a 20 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. the speed of the tip of her shadow would be 5.714 ft/sec.
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a bag contains 14 blue, 6 red, 12 green, and 8 purple marbles. 25 marbles are removed from the bag randomly. how many of the removed marbles were green if the chance of drawing a green marble from the bag is now 3/5?
The number of green marbles removed from the bag is 3.
We will use the Formula of Probability:
In mathematics, the probability is defined as the ratio between the number of favorable outcomes and the total number of outcomes.
p(A) = n(A) / n(S)
p(A) is the probability of event A.
n(A) is the number of outcomes with respect to A.
n(S) is the total number of possible outcomes.
Given in the Question:
A bag contains 14 blue, 6 red, 12 green, and 8 purple marbles.
So the total number of marbles in the bag = 40
It is given that 25 marble are removed from the bag randomly
thus, the remaining marbles in the bag = 40 - 25 = 15
It is given that the probability of drawing a green marble from the bag after removing 25 marbles is 3/5.
So, for finding the number of green marbles in the bag after removing we can write,
n(A) = p(A) × n(S)
here, A is the event of drawing the number of green marbles and p(A) = 3/5 and n(s) = 15 (after removing)
Thus, the number of green marbles in the bag after removing = 3/5 × 15
So, the number of green marbles left in the bag = 9
then, the green marbles removed from the bag = 12 - 9 = 3.
Therefore, only 3 green marbles are removed from the bag.
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Linda had 45 fliers to post around town. Last week, she posted 1/3 of them. This week, she posted 3/5 of the remaining fliers. How many fliers has she still not posted?
Answer:
Step-by-step explanation:
The number of fliers that he has not posted is 9
What is proportion?
Proportion can be defined as the mathematical comparison of two elements or numbers.
From the information given, we have that;
• Total number of fliers is 45
• First week, 1/3 of the floors were posted
• This week, 3/5 of the remaining were posted.
To determine the number of fliers remaining, we have that;
Remaining fliers for the First week
= 45 × 1/3
Multiply and find the quotient
= 15 fliers
Fliers remaining after the last week
= 15 × 3/5
Multiply and find the quotient
= 45/5
= 9 fliers
Thus, the number of fliers the he has not posted is 9
A line passes through the points (–4, –1) and (8, 2). What is its equation in slope-intercept form?
I always get it wrong when I write it out
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{(-4)}}} \implies \cfrac{2 +1}{8 +4} \implies \cfrac{ 3 }{ 12 } \implies \cfrac{1 }{ 4 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{ \cfrac{1 }{ 4 }}(x-\stackrel{x_1}{(-4)}) \implies y +1 = \cfrac{1 }{ 4 } ( x +4) \\\\\\ y+1=\cfrac{1 }{ 4 }x+1\implies {\Large \begin{array}{llll} y=\cfrac{1 }{ 4 }x \end{array}}[/tex]
Find the distance between
(4, 8) and (-2, 2).
Answer:
[tex]6\sqrt{2}[/tex]
Step-by-step explanation:
Using the distance formula,
[tex]\sqrt{(4-(-2))^2+(8-2)^2} \\ \\ =\sqrt{6^2+6^2} \\ \\ =6\sqrt{2}[/tex]
Answer:
6(sqrt(2))
Step-by-step explanation:
Use the "distance formula" (sqrt((x2-x1)^2 - (y2-y1)^2)), plugging in (4,8) for x1 and y1, and (-2,2) for x2 and y 2
In triangle ABC, m∠B = (4x − 15)° and the measure of the exterior angle to ∠B is (14x − 21)°. Find m∠B.
12°
32°
33°
36°
Applying the definition of exterior angle, the measure of angle B is: c. 33°
What is the Exterior Angle of a Triangle?When a side of a triangle is extended through an interior angle, the angle formed is called the exterior angle of a triangle.
The angle to the exterior angle of the triangle, when added to the exterior angle will have a sum of 180 degrees, which means their supplementary angles.
Therefore:
4x - 15 + 14x - 21 = 180
4x + 14x - 15 - 21 = 180
18x - 36 = 180
18x = 180 + 36
18x = 216
18x/18 = 216/18
x = 12
m∠B = 4x - 15 = 4(12) - 15 = 33°
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Answer:
its B. 33
Step-by-step explanation:
The PlentyofFish dating site company is designing a marketing campaign with the objective of reducing the purchase risk of its dating service in the customer's mind. PlentyofFish is offering a limited free 30-day trial to test out the site. Which stage has the smallest percentage of prospects associated with the AIDA model is PlentyofFish implementing for its campaign ?
The stage that has the smallest percentage of prospects associated with the AIDA model is PlentyofFish implementing for its campaign is the action stage.
What is the AIDA Model?The AIDA Model (Attention, Interest, Desire, and Action) is an advertising effect model that identifies the stages that an individual goes through when purchasing a product or service.
The AIDA model is one of several models known as hierarchy of effects models or hierarchical models, all of which imply that when making a purchase decision, consumers go through a series of steps or stages.
An AIDA model entails the following steps:
Attention: The first step in marketing or advertising is to think about how to get consumers' attention.
Interest: Once a consumer is aware that a product or service exists, the company must work to increase the potential customer's level of interest.
Desire: Once the consumer is interested in the product or service, the goal is to make them want it.
Action: The ultimate goal of a marketing campaign is to motivate the recipient to take action and buy the product or service.
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I need help like asap !!!
only numbers and decimal points
Answer:
c = 11.46 yd
Step-by-step explanation:
Formula we use,
→ (AC)² = (BC)² + (AB)²
Now the value of a will be,
→ c² = (8.1)² + (8.1)²
→ c² = 65.61 + 65.61
→ c² = 131.22
→ c = √131.22
→ [ c = 11.46 yd ]
Hence, value of c is 11.46 yd.
help asap please. . . . .
What is the slope and equation of a line that is perpendicular to the y-axis and passes through the point (3,12)
A. The slope is undefined and the equation of the line is y=12.
B. The slope is zero and the equation of the line is x=3.
C. The dlope is zero and the equation of the line is y=12.
D. The slope is undefined and the equation of the line is x=3.
Slope equals the change in the vertical (Y value) divided by the change in the horizontal (X value), the slope of a horizontal line is zero and equation of line is Y =12. So option C is correct.
What is equation of line?A straight line's general equation is y = mx + c, where m is the gradient and y = c is the value at which the line intersects the y-axis. This value c is known as the y-axis intercept.
Here,
Since the Y-axis is vertical, a line perpendicular to it would be horizontal.. The slope of a horizontal line is zero, because slope is the change in the vertical (Y value) divided by the change in the horizontal (X value), and the vertical coordinate does not change from the -3 of the point given.
If we start with the slope-intercept form of an equation of a line
Y = mX + b,
we can write Y = 0X + (12)
Y =12
Slope is the vertical change (Y value) divided by the horizontal change (X value); the slope of a horizontal line is zero, and the equation of the line is Y =12.
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Helppppppppppppp Thxs ‼️
Answer:
False
Step-by-step explanation:
If is a real number and m and n are positive integers
Find g(x), where g(x) is the translation 1 unit left of f(x)=9x–8.
Where g(x) is the translation 1 unit left of f ( x ) = 9x – 8 then g(x) is
g (x ) = 9x + 1What is translation?Translation refers to a type of transformation that involve a straight line movement.
Movements as seen in translation includes
leftrightupdownThe up and down movements are on the vertical direction controlled by the y coordinate.
The left and right movements are on the horizontal direction controlled by the x coordinate.
When translating a graph, adding units moves the graph to the left and removing units moves the graph to the right.
hence we say
f(x) = 9x – 8
g(x) = f(x + 1)
= 9(x+1) – 8
= 9x + 9 - 8
= 9x + 1
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PR is a chord of a circle Center 0 and radius 20CM - POR = 120° calculate (a) length of the Chord PR (b) length of are PQR
Answer:
i have the similar question just radius is changed frm 12 to 20 cm..
hopefully this will help u ...^_^
the measure of the middle ordinate of a yaw mark is 6 ft. the radius of the arc is 70 ft. what was the length of the chord used in this situation? round the answer to the nearest tenth of a foot.
The length of the chord used in this situation is approximately 40.54 ft.
To find the length of the chord used in the situation, we can use the formula for the chord length in a circular arc:
Chord length = 2√(r² - (r - h)²)
where r is the radius of the arc and h is the measure of the middle ordinate.
Given that the radius of the arc is 70 ft and the measure of the middle ordinate is 6 ft, we can substitute these values into the formula:
Chord length = 2√(70² - (70 - 6)²)
Chord length = 2√(4900 - 4489)
Chord length = 2√(411)
Chord length ≈ 2 * 20.27
Chord length ≈ 40.54 ft
Therefore, the length of the chord used in this situation is approximately 40.54 ft.
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a basket contains 13 apples, of which two are rotten. a sample of three apples is selected at random. in how many ways can two rotten apples be chosen? a) 165 b) 11 c) 121 d) 220 e) 9 f) none of the above.
Answer:
None of the above
Step-by-step explanation:
I need what x equals
Answer: x=143
Step-by-step explanation: the ratio is 1:13 so 11*13=143
Answer: Don't take my word wait until someone else says something.
Step-by-step explanation: i think it is 134 or around that.
Find the discriminant of the following quadratic equation and indicate the nature of the solutions. Then find the solutions to the quadratic equation. Make sure solutions are simplified! 8x² + 15x = 7x - 4
Answer:
-64
Step-by-step explanation:
Start by moving everything to the left side making the equation equal 0. Then combine like terms.
The radius of a circle is 15 inches. What is
the circumference of the circle? Write
your answer using T.
Answer: 30[tex]\pi \\[/tex] or 94.247
Step-by-step explanation:
Circumference=2[tex]\pi[/tex]r
2·[tex]\pi[/tex]·15=30[tex]\pi[/tex]=94.247
Answer:
94.2in.
Step-by-step explanation:
The formula for circumference is 2radius x π
π≈3.14
So we can say:
30in.x3.14=circumference
30x3.14=94.2
94.2in=circumference
(i.e. I don't know what you mean by using T.)
Darnell spent 10 hours doing homework. Marie did homework for 4/5 as many
hours as Darnell did. How many hours did Marie spenddoing homework?
Marie did her homework in 8 hours.
1) In a group of 80 children, 35% of the
children are girls. 9 of the girls chose
volleyball as their favourite sport.
What percentage of the girls chose
volleyball?
11.25 percentage of the female students chose volleyball when 35 percent of the 80 kids in the group are girls.
Given that,
35 percent of the 80 kids in the group are girls. 9 of the female students selected volleyball as their preferred sport.
We have to find what percentage of the female students chose volleyball.
The total children's are 80.
The 35% are girls.
9 have selected the volleyball
So,
9/80
0.1125
The percent is
11.25%
Therefore, 11.25 percentage of the female students chose volleyball when 35 percent of the 80 kids in the group are girls.
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ethical research methods include multiple choice selecting samples that you know to be biased. always using a census as samples as not reliable. using only convenience sampling to select samples. doing your best to select an unbiased sample.
Ethical research methods include D. doing your best to select an unbiased sample.
What is research ethics?In research, ethical considerations are a set of principles that guide your research designs and practices. Active consent, informed consent, anonymity, confidentiality, potential for harm, and results communication are among these principles.
The standards of conduct for scientific researchers are governed by research ethics. To protect the dignity, rights, and welfare of research participants, it is critical to follow ethical principles. Many ethical norms in research, for example, guidelines for authorship, copyright and patenting policies, data sharing policies, and peer review confidentiality rules are intended to protect intellectual property interests while encouraging collaboration.
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Help QUick Help I'm begging Help pls!!!!!!!!!!!!!!
Brainliest
Our school flag is a rectangle. We are changing to a new rectangular flag design. The length of the new flag is 20% greater than the length of the old flag, and the width of the new flag is 10% less than the width of the old flag, The old school flag is 25 square feet. What is the area of the new flag?
Answer: Hence the answer is 27 square feet.
Please look at the images for more details.
Answer:
27 square feet
Step-by-step explanation:
Define the variables:
Let w be the width of the old flag.Let l be the length of the old flag.To increase a number by a certain percent, divide the percent by 100, add it to 1, then multiply the original number by this number.
If the length of the new flag is 20% greater than the length of the old flag:
[tex]\implies \textsf{Length}=\left(1+\dfrac{20}{100}\right) \timesl \times l=1.2l[/tex]
To decrease a number by a certain percent, divide the percent by 100, subtract it from 1, then multiply the original number by this number.
If the width of the new flag is 10% less than the width of the old flag:
[tex]\implies \textsf{Width}=\left(1-\dfrac{10}{100}\right) \times w =0.9w[/tex]
[tex]\boxed{\textsf{Area of a rectangle}=\sf width \times length}[/tex]
Therefore, given the area of the old flag is 25 ft²:
[tex]\implies wl=25[/tex]
To find the area of the new flag, substitute the expressions for width, length and wl into the formula for area of a rectangle:
[tex]\begin{aligned}\textsf{Area of new flag}&=\sf width \times length\\&=0.9w \times 1.2l\\&=0.9 \times 1.2 \times wl\\&=1.08 \times 25\\&=27\sf \;\; ft^2\end{aligned}[/tex]
Therefore, the area of the new flag is 27 square feet.
Angie is baking blueberry pies to sell at her bakery. She starts with 3 7/10 cartons of blueberries, of which she uses 1/3 for the first batch of pies. How many cartons of blueberries does Angie use for the first batch of pies?
Answer:
1 carton
Step-by-step explanation:
3 (7/10)= 21/10
1/3 of 21/10= 7/10
7/10=1 carton