27. To compare the effectiveness of two treatments, researchers conducted a well-designed experiment using a
randomized block design in which the subjects were blocked by age-group (under 40 years and 40 years or
older). Which of the following must be true about the randomized block design of the experiment?
(A) The number of subjects in each block is different.
88 Treatments are randomly assigned to subjects within each block.
(C) The design cannot have a control group because subjects are blocked by age-group.
fo) The experiment uses a matched-pairs design, where subjects from one block are paired with subjects from
the other block.
E) The subjects in one block receive one treatment, and the subjects in the other block receive the other
treatment
Answers
In a randomized block design, it is expected treatments are randomly assigned within each block.
What does a randomized block design imply?Subjects are divided into blocks based on a specific features such as age, gender, education, etc.Within each block subjects that receive treatment and does who do not are randomly assigned.The treatment in all blocks is the same. For example, if the purpose is to study the effect of medicine all treatment subjects should receive the same medicine and dose.What is the purpose of this design?The purpose is to minimize the effect of certain factors such as age.
Based on the above, it is expected in this experiment the treatment is randomly assigned to a specific number of subjects within each block.
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Related Questions
Answer the division problem. 400 divided by 5 r _
Answers
Answer:
80 remainder 0
Step-by-step explanation:
For a year, Charlie records the balance of his checking account at the
end of each month. His data can be represented by a linear model,
y = 213.73x + 75.62, where x is the number of months, and y is the
account balance.
Answers
Answer
so just add and you should get your
Step-by-step explanation:
add
2x² + 5x, what will it a Perfect Square? make
Answers
Answer:
2x² + 5x + c = 0
For this quadratic equation to have one double root, the discriminant must equal 0.
5² - 4(2)(c) = 0
25 - 8c = 0
c = 25/8
2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.
Explanation:2x² + 5x is not a perfect square.
A perfect square is an expression that can be factored into the square of a binomial. To determine if an expression is a perfect square, we can look at the coefficient of x². In this case, the coefficient is 2, which is not a perfect square.Learn more about Perfect Square here:https://brainly.com/question/34063927
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(4x+45)
(5x-18)
Solve for x.
Answers
Answer:
Is there a certain equation?
Because my answer will probably be wrong.
Answer: x = 63Step-by-step explanation:
Let’s just say that x in both cases is the same value.
Equation:
(4x + 45) = (5x - 18)
x = 63
Answer: x = 63
Step-by-step explanation:
EASY POINTS!
On a map, two cities are 2.8 inches apart. The map has a scale of 1 inch to 25 miles. How far apart, in inches, would the same two cities be on a map that has a scale of 1 inch to 40 miles? Show your work!
Answers
Answer:
1.75 inches (pls give brainliest lol!)
Step-by-step explanation:
Let's use a proportion to solve the problem:
On the first map, 2.8 inches represents 25 miles:
2.8 / 1 = 25 / x
Simplifying the equation, we get:
x = 25(2.8)/1 = 70
Therefore, the distance between the two cities in the first map is 70 miles.
Now, let's find the distance between the same two cities on the second map, which has a scale of 1 inch to 40 miles:
We want to find how many inches on the second map represent 70 miles. Let's call this value y.
1 / 40 = y / 70
Solving for y, we get:
y = 70/40 = 1.75
Therefore, the two cities would be 1.75 inches apart on the second map with the 1 inch to 40 miles scale.
Bernardo is converting a fraction, StartFraction a Over b EndFraction, to a percent. Both a and b are whole numbers and not equal to zero. Which expression represents the percent?
(a divided by b) divided by 100
(b divided by a) divided by 100
100 (a divided by b)
100 (b divided by a)
Answers
Answer:
100(a divided by b)
this is because for example, 1/2
100(1 divided by 2)
100(0.5)
50
50%
Answer:
c
Step-by-step explanation:
The rental shop charges $16 plus $9 an hour to rent a bicycle. If Luis spends $70, for how
many hours did he rent the bicycle?
Answers
Answer:
2.8 hours or 2hrs 8 min
Step-by-step explanation:
money paid per hour=16+9=$25
money paid by luis=70
time=70/25= 2.8 hrs
=2 hours and 8 minutes
hope this helps u :)
Sample Response: The vertical line test is a way to
determine if a relation is a function. This test
determines if one input has exactly one output on the
graph. If any vertical line passes through more than
one point on the graph, then the relation is not a
function because two different outputs have the same
input.
Which did you include in your response?
The relation is a function if there is only one point of
intersection for any vertical line on the graph.
The relation is not a function if any vertical line has
more than one point of intersection on the graph.
The vertical line test is used to determine if one
input has exactly one output.
Answers
The vertical line intercept the the graph more than once, the graph is of a relation but it is not a function
A graph's function representation can be determined using the vertical line test. Because a function only has one output value for each input value, if we can draw any vertical line that crosses a graph more than once, the graph does not define a function.A function is a type of relation that converts a given set of inputs into a set of outputs in such a way that each input value can only be linked to one output value, forming a set of ordered pairs.Since the line intersects the vertical line twice, a relation that maps a given input to multiple outputs is not a function since there are multiple values of y for a given value of x, the input. As a result, the relation is not a function.
Hence, the vertical line intercept the the graph more than once, the graph is of a relation but it is not a function.
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Lydia is organizing a cooking competition at her school. She ordered some basic supplies to share among the teams that are competing.
The teams will be bringing other ingredients as well.
Use the list at the right to answer the questions.
1. If 10 of the teams divide the olive oil equally, how
much will each team receive? Write an equation
to model your work.
738.4 grams, flour
8.25 liters, milk
5.4 liters, olive oil
87.6 grams, salt
36 eggs
Answers
The equation to model the given work is 5.4 liters / 10 teams = 0.54 liters per team, and 0.54 liters per team × 920 grams per liter = 497.28 grams per team.
The teams will share 5.4 liters of olive oil. To find out how much each team will receive, we can divide the total amount of olive oil by the number of teams:
5.4 liters ÷ 10 teams = 0.54 liters per team
However, it's usually more convenient to express this in grams for equation, so we need to convert liters to grams.
The conversion factor for olive oil is approximately 0.92 grams per milliliter (or 920 grams per liter). So, we can multiply 0.54 liters per team by 920 grams per liter to get:
0.54 liters per team × 920 grams per liter = 497.28 grams per team
Therefore, each team will receive 497.28 grams of olive oil as per the work.
Equation: 5.4 liters / 10 teams = 0.54 liters per team, and 0.54 liters per team × 920 grams per liter = 497.28 grams per team.
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A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in
20.4 days
22.5 days
25.6 days
30.1 days
Answers
Let's assume that B can do the job alone in x days.
Then, according to the question, A can do the same job alone in (1/3)x days.
Also, we know that A takes 60 days less than B to finish the job, so:
(1/3)x = x - 60
Solving for x, we get:
x = 90
Therefore, B can do the job alone in 90 days and A can do the same job alone in (1/3) * 90 = 30 days.
To find out how long they take to finish the job together, we use the formula:
(AB)/ (A+B)
where AB is the product of their individual times and A+B is their combined time.
Plugging in the values, we get:
(30 * 90)/(30+90) = 22.5
Therefore, working together, they can finish the job in 22.5 days.
Answer: Option B - 22.5 days
Two trains are traveling at a constant rate. Which train has the greater speed?
Answers
Find the solution of the system for which
Answers
Answer:
3,0,-6,0
Step-by-step explanation:
x1=3 because 3+0+0=3
since x2 and s2=0.
The revenue of a company is represented by 3x² + 9x + 5 and the costs by 3x² + 3x + 21. If the profit can be found by subtracting cost from revenue, what expression could represent the profit? I
Answers
Subtract the cost equation from the revenue equation
The 3X^2 cancel each other out
9X-3X= 6X
And 5-21= -16
Leaving 6X-16
1. Write a polynomial of degree 3 with zeros
x = 3,x= -4, and x = 5.
Answers
The polynomial of degree 3 with zeros at x = 3, x = -4, and x = 5 is P(x) = x^3 - 4x^2 - 17x + 60.
To construct a polynomial of degree 3 with zeros at x = 3, x = -4, and x = 5, we can use the fact that the polynomial can be written as a product of linear factors corresponding to each zero.
The factor corresponding to x = 3 is (x - 3).
The factor corresponding to x = -4 is (x + 4).
The factor corresponding to x = 5 is (x - 5).
To obtain the polynomial, we multiply these factors together:
P(x) = (x - 3)(x + 4)(x - 5)
Expanding this expression gives us:
\(P(x) = (x^2 - 3x + 4x - 12)(x - 5)\)
\(= (x^2 + x - 12)(x - 5)\)
\(= x^3 - 5x^2 + x^2 - 5x - 12x + 60\)
\(= x^3 - 4x^2 - 17x + 60\).
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Enter the number that belongs in the green box
Answers
The number that belongs in the green box using sine rule is 13.96.
What is sine rule?The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.
To calculate the number that belongs in the green box, we use the formula below
Formula:
SinA/a = SinB/b.................. Equation 1From the diagram,
Given:
A = 70°B = 61°b = 15a = xSubstitute these values into equation 1
Sin70°/15 = sin61°/xSolve for x
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At Todd Morton's donut shop, mini-donuts are sold in boxes of 5, 10, and 20. What is the least number of boxes that must be bought to acquire exactly 95 mini-donuts?
Answers
Six boxes must be bought to acquire exactly 95 mini-donuts.
Algebra is an ancient branch of mathematics that deals with number theory, geometry, and analysis. According to some definitions, the study of mathematical symbols and rules involves manipulating these mathematical symbols.
Given that at Todd Morton's donut shop, mini-donuts are sold in boxes of 5, 10, and 20
We have to determine the least number of boxes that must be bought to acquire exactly 95 mini-donuts
Here 3 boxes are given
Box1 contains 5 mini-donuts
Box2 contains 10 mini-donuts
Box3 contains 20 mini-donuts
If we take four boxes of mini-donuts which contain 20
= 4 x 20 = 80
Now remaining 15 mini-donuts
So take one box each
1 x 10 = 10
1 x 5 = 5
80+10+5 =95
Total boxes = 4 + 1 + 1 = 6
Therefore, six boxes must be bought to acquire exactly 95 mini-donuts.
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Makayla is a botanist studying production of coconuts by two different groups of her coconut palms. She notices that Group 1 trees produce 25 percent more coconuts than Group 2. based on Makayla's observation, if Group 1 produced 150 coconuts, how many coconuts did group 2 produce?
Answers
If Group 1 trees produce 25 percent more coconuts than Group 2, proportionately, Group 2 trees produce 120 coconuts.
What is proportion?Proportion refers to the two ratios equated to each other.
Proportion shows how much quantity or value is contained in another.
We depict proportions using fractional values, such as fractions, decimals, and percentages.
The number of coconuts produced by Group 1 trees = 150
The percentage by which Group 1 trees produce more than Group 2 = 25%
Let Group 1's production compared to Group 2's = 1.25 (100% + 25%)
Let Group 2's production = 100% = 150/125 x 100
= 120 coconuts
Thus, Group 2 trees would produce 120 coconuts compared to Group 1 trees that produced 150, which was proportionately, 25% more.
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Show that the lowest common multiple of 450^3 And 240^3 is 60^6
Answers
The lowest common multiple of 450^3 And 240^3 is 60^6.
How to find the lowest common multiple?The lowest common multiple (LCM) of two numbers is the smallest positive integer that is divisible by both of them.
To find the LCM of 450^3 and 240^3, we can first find the prime factorization of each number, and then multiply the highest power of each prime factor to get the LCM.
The prime factorization of 450 is 2 * 3^2 * 5^2, and the prime factorization of 240 is 2^4 * 3 * 5.
Therefore, the prime factorization of 450^3 is:
(2 * 3^2 * 5^2)^3 = 2^3 * 3^6 * 5^6
And the prime factorization of 240^3 is:
(2^4 * 3 * 5)^3 = 2^12 * 3^3 * 5^3
To find the LCM, we multiply the highest power of each prime factor:
LCM(450^3, 240^3) = 2^12 * 3^6 * 5^6 = 60^6
Therefore the LCM of 450^3 and 240^3 is 60^6.
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anyone can solve this?
\( \sqrt[4] {a}^{3 \:} to \: power\)
Answers
The value of the expression \(\sqrt[4]{a}^3\) when evaluated is \(a^\frac34\)
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
\(\sqrt[4]{a}^3\)
Consider an expression expressed as xⁿ
The expression can be expanded as
xⁿ = x * x * x .... in n places
Using the above as a guide, we have the following:
\(\sqrt[4]{a}^3 = \sqrt[4]{a} * \sqrt[4]{a} * \sqrt[4]{a}\)
Apply the exponent rule of indices
\(\sqrt[4]{a}^3 = a^\frac14 * a^\frac14 * a^\frac14\)
Apply the power rule of indices
\(\sqrt[4]{a}^3 = a^\frac34\)
Hence, the expression \(\sqrt[4]{a}^3\) when evaluated is \(a^\frac34\)
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Solve for x. 6+3x = 2 - 4(x-1)
Answers
X=0
The beginning-of-the-period cash balance for the Taylor Company was a $12,000 debit. Cash sales for the month were $8,000 and sales on account were $8,000. The company paid $2,500 cash for current-period purchases and also paid $3,000 cash for amounts due from last month.
What is the ending debit or credit balance in the Cash account?
Answers
Based on the calculation below, the ending debit balance in the Cash account is $14,500.
How do we calculate the Cash account ending balance?The ending balance in the Cash account can be calculated using the following formula:
Ending balance = Beginning-of-the-period cash balance + Cash sales for the month - Current-period purchases - Amounts due from last month .......... (1)
Substituting all the relevant into equation (1), we have:
Ending balance = $12,000 + $8,000 - $2,500 - $3,000
Ending balance = $14,500
Since the $14,500 is positive, this implies that the ending can balance is debit.
Note that sales on the account is not cash transaction and that is it is not included in the calculation.
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A plant is already 11.25 meters tall, and it will grow 15 centimeters every month. The plant's height, H (in meters), after x months is given by the following.
Answers
The plant's height after x months is 11.25 + 15x.
How to calculate the plants height?From the information illustrated, the plant is already 11.25 meters tall, and it will grow 15 centimeters every month.
In this case, let the plant's height be H (in meters)
Let the number of months be x.
The plant height will be:
= 11.25 + (15 × x)
= 11.25 + 15x
This is the height.
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Complete question
A plant is already 11.25 meters tall, and it will grow 15 centimeters every month. When is the plant's height, H (in meters), after x months?
PLEASE HELP!!!!!!!!!!!!!
Answers
Hope this helps!
f f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g
Answers
The value of the function operation f - g(x) is 3x² + x
What is Function OperationsFunction operations refer to mathematical operations that can be performed on functions, such as addition, subtraction, multiplication, and composition.
Addition and subtraction of functions:
A function can be added or subtracted with another function if both of them have the same domain. The result is a new function with the same domain as the original functions.
Multiplication of functions:
Two functions can be multiplied together to create a new function. The result is a new function whose value at each point in the domain is the product of the original functions' values at that point.
Composition of functions:
Function composition is the application of one function to the result of another function. The result is a new function that is the composition of the original functions. It is represented by (f ∘ g) (x) = f(g(x)) where f and g are the functions being composed.
In this problem, we have two functions which are;
f(x) = 3x² + 1g(x) = 1 - xThe value of (f - g)(x) = 3x² + x
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Select all of the solutions to the equation x^2 = 100.
( correct my answer if need )
Answers
The solutions to the equation \(x^2 = 100\) are \(x = 10\) and \(x = -10\).
A formula that explains the relationship between the two expressions on either side of a sign. According to algebra, an equation is a statement that shows the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 is made up of the two equations 3x + 5 and 14, which are separated by the equal sign. Your example is indeed an equation because an equation is any expression with just an equals sign. Equations are frequently employed in mathematical statements because mathematicians like equal signs. A formula is a list of rules for achieving a particular result.
To solve the equation \(x^2 = 100\), we can follow these steps:
Each side of the equation's square root is as follows:
x = ±10
Therefore, the solutions to the equation \(x^2 = 100\) are \(x = 10\) and \(x = -10\).
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factorise x squared - 42 squared
Answers
Answer:
42 squared is 1764
Step-by-step explanation:
Answer: (x + 42)(x - 42)
Step-by-step explanation:
factorise: x^2 - 42^2
. x^2 - 42^2 have ^2 in common (so you can ignore that).
. put in brackets (x - 42)(x + 42)
. +/- any order really doesn't matter :D
k+12=23
plsssss help
Answers
yeahhhhhhh
B=0
Move the dot to-(-B) on the number line.
+
-1
-2
-1.5
-0.5
0
0.5
1
1.5
2
Answers
Answer:
0
Step-by-step explanation:
-(-B) = -(-0) =0
Analyze the diagram below and complete the instructions that follow.
Find tan 30°
Answers
Answer:
\(tan(30) = \frac{A}{B}\)
Step-by-step explanation:
Given
The attached triangle
Required
Find tan(30)
Let the side opposite 30 degrees be A and the side adjacent 30 degrees be B
So [using tangent identity]:
\(tan(\theta) = \frac{Opposite}{Adjacent}\)
This gives:
\(tan(30) = \frac{A}{B}\)
An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use α=α= .05.
Method 1 Method 2
Roller Coaster41434951
Type of RideScreaming Demon 52445046
Log Flume50464844
Method 1 Method 2
Roller Coaster
41
43
49
51
Type of Ride
Screaming Demon
52
44
50
46
Log Flume
50
46
48
44
Answers
Answer:
hello your question has some missing part and the table as it relates better to the question
set up the ANOVA table ( to 1 decimal if necessary )
Step-by-step explanation:
attached below is the image of the Analysis of variance using Minitab software
Attached below as well is the Require Anova table
