Answer:
In Euclidean plane
a company is developing a new drug for reducing the symptoms of pollen allergies. they have developed two forms of the drug: a and b. the company wants to find out which form is most effective and to determine whether the amount to be taken each day should be split into one, two, or three doses. a set of volunteers who suffer from pollen allergies is randomly split into groups to receive treatments. a) how many factors are there? what are they? b) how many levels of the factors are there? what are they? c) how many treatments are there? what are they? d) referring to the experiment above, identify the following: response variable experimental units e) how might you incorporate a control group? why might a control group be beneficial?
The experiment involves two factors, six treatments, and the response variable is the reduction in pollen allergy symptoms among the experimental units.
The experiment being conducted by the company involves two forms of a drug, namely A and B, and aims to determine which form is more effective in reducing pollen allergy symptoms, and whether the daily amount should be split into one, two, or three doses. There are two factors involved in the experiment: the form of the drug (A and B) and the number of doses (one, two, or three). The drug form factor has two levels (A and B), while the dose factor has three levels. Therefore, there are a total of six treatments in the experiment, which are as follows: A1, A2, A3, B1, B2, and B3. The response variable in the experiment is the reduction in pollen allergy symptoms, and the experimental units are the volunteers who suffer from pollen allergies. A control group can be incorporated into the experiment by randomly assigning some volunteers to receive a placebo or an existing allergy medication, instead of the new drug. A control group would be beneficial in order to compare the effectiveness of the new drug with the existing treatment, and to ensure that any observed effects are not due to chance or other factors.
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In a volcano, erupting lava flows continuously through a tube system about 11 kilometers to the sea. Assume a lava flow speed of 0.5 kilometer per hour and calculate how long it takes to reach the sea.
Answer:
22 hours
Step-by-step explanation:
0.5 km in 1 hr
1 km in 2 hr
11 km in 22 hr
If lava has flow-speed of 0.5 kilometer per hour, then the time required to reach the sea is 22 hours.
In order to calculate how long it takes for the lava to reach the sea, we use the formula: time = (distance)/(speed),
We know that the lava flow speed is 0.5 kilometers per hour and the distance to the sea is 11 kilometers:
The formula is : Time = (Distance)/(Speed), Substituting the values,
We get,
Time = (11 km)/(0.5 km/h),
Time = 22 hours;
Therefore, It takes approximately 22 hours for the lava to flow through the tube system and reach the sea.
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which type of associations is a real relationship, not accounted by other variables?
A real relationship, not accounted by other variables, is a causal relationship. This type of association suggests that one variable directly causes changes in the other. In other words, there is a cause-and-effect relationship between the two variables.
In this type of association, changes in one variable directly cause changes in the other variable, without any other variables influencing the relationship. This contrasts with spurious or indirect associations, where the relationship between two variables is due to the influence of other variables. To determine if an association is a real relationship, researchers often control for potential confounding variables to isolate the direct effect of the variables in question. However, it is important to note that establishing a causal relationship requires careful research design and data analysis to rule out the effects of other variables that could be influencing the relationship.
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Cindy is 6 years older than half her
mother's age. Cindy's mom is 70 years old.
How old is Cindy?
Answer:
cindy is 51
Step-by-step explanation:
70 divided by 2 is 45
45+ 6 is 51
(-3.56(2.3)
what is the answer
Answer:
-8.18800
Step-by-step explanation:
-8.188
-3.56 times 2.3 = -8.188
Can someone help me with the slope pls thanks
Answer: 5 (second answer choice)
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
slope is change in y over change in x
as x goes over 1 y goes up 5
5/1
slope=5
Solve the Bernoulli equation below. 1 3xy + 2y = 3x sin sin(?) y"
To solve the given Bernoulli equation, we can use a substitution technique to transform it into a linear equation. By making a suitable substitution and simplifying the equation.
The Bernoulli equation is of the form y' + P(x)y = Q(x)y^n, where n is a constant.
In this case, the given Bernoulli equation is 3xy + 2y = 3x sin(?) y".
To solve this equation, we make a substitution by letting u = y^(1-n). Differentiating u with respect to x gives du/dx = (1-n)y^(-n)y'. Substituting this into the equation and simplifying, we obtain the linear equation (1-n)du/dx + (1-n)P(x)u = (1-n)Q(x).
Now we have a linear equation in terms of u, which can be solved using standard linear equation techniques. Once we find the solution for u, we can substitute it back into the expression u = y^(1-n) and solve for y in terms of x.
By following this substitution and solving process, we can find the solution for the given Bernoulli equation and express y in terms of x.
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solve for R , help me please
Answer:
r = 1mm
Step-by-step explanation:
The two figures are similar because the one on the left is the same as the one on the right when it comes to it's angles. So you can use this as a reason to divide 12mm by 3mm to see how many times bigger the shape on the left is to the one on the right.
The number you get is 4.
The next an final step is to do 4 divided by four to get the answer for "r" which is 1mm.
Work out, giving your answer in it's simplest form: 4 1/5 × 5/14
Tickets to a school play cost $3 for students and $8 for adults. On opening night, $1,000 was collected and 150 tickets sold. Use substitution to solve a system of equations to find how many of each kind of ticket were sold?
Answer:
s+a=150
3s+8a=1000
a=-s+150
3s-8s+1200=1000
-5s=-200
s=40
a=110
40 student and 110 adult tickets were sold
Step-by-step explanation:
Which is the value of y in the solution to the system of equations 12x - 4y = 8 and - 3x + 2y = 12 ?
Answer:
I'm sorry this makes no sense
A bag contains ten tlles labeled B, C, D, E, F, G, H, I, J, and K. One tile will be randomly picked.What is the probability of picking a letter that is not a vowel?Write your answer as a fraction in simplest form.
The number of vowels is:
\(2\)The total number of tiles is:
\(10\)Therefore, the total number of letters not vowels is given by:
\(10-2=8\)Hence, the probability of picking a letter that is not a vowel:
\(\frac{8}{10}=\frac{4}{5}\)Therefore the required probability is 4/5
Someone slide me the answer of number 6 pls
Based on the distance that the yellow jacket flies in 9 seconds, the unit rate in meter per second is 0.5 m/s
What is the unit rate?The unit rate of the yellow jacket can be found by the formula:
= Distance travelled / Number of seconds
Solving gives:
= 4.5 / 9
= 0.5 meter per second
= 0.5 m/s
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Help ASAP!!!!!!!!!!!! 10 Points
The symbolic notation are;
a. Atlanta is the capital of Georgia, or there are 3 feet in a yard.
2. ⇒ p ∧ q
b. Atlanta is the capital of Georgia and there are not 3 feet in a yard.
6. ⇒ p ∨ ~ q
c. Atlanta is not the capital of Georgia, or there are 3 feet in a yard.
5. ⇒ ~ p ∧ q
d. Atlanta is the capital of Georgia, and there are 3 feet in a yard.
1. ⇒ p ∨ q
What is Symbolic notation?
Symbolic notation is a way of representing the counting numbers by writing a simple symbol.
Now,
For the false statement we use the symbol ( ~ ).
If in the statement the word ''or'' is present then we use the symbol ''∧'' and for the word ''and'' we use the symbol ''∨''.
Hence,
For the statement;
a. Atlanta is the capital of Georgia, or there are 3 feet in a yard.
Both are truth and with the word ''or'', then the symbolic notation,
⇒ p ∧ q
For the statement;
b. Atlanta is the capital of Georgia and there are not 3 feet in a yard.
One statement is truth and second is false , then the symbolic notation,
⇒ p ∨ ~ q
For the statement;
c. Atlanta is not the capital of Georgia, or there are 3 feet in a yard.
First statement is false and second is truth , then the symbolic notation,
⇒ ~ p ∧ q
For the statement;
d. Atlanta is the capital of Georgia, and there are 3 feet in a yard.
Both are truth and with the word ''and'', then the symbolic notation,
⇒ p ∨ q
So, The symbolic notation are;
a. Atlanta is the capital of Georgia, or there are 3 feet in a yard.
2. ⇒ p ∧ q
b. Atlanta is the capital of Georgia and there are not 3 feet in a yard.
6. ⇒ p ∨ ~ q
c. Atlanta is not the capital of Georgia, or there are 3 feet in a yard.
5. ⇒ ~ p ∧ q
d. Atlanta is the capital of Georgia, and there are 3 feet in a yard.
1. ⇒ p ∨ q
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Charles used a chain which was 12.5 metres long, 12 times to measure the breadth of his garden. Stephen used a chain of different length 10 times to cover the breadth of Charles' garden and 18 times to cover its length. What is the area of Charles' garden to the nearest one tenth of a hectare?
A. 4.05 m^2
B. 5.4 m^2
C. 3.6 m^2
D. 4.1 m^2
The function \(B(t) = 182(1.065)^t\) represents the annual population of bees in a county park, the growth rate is 6.5%.
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
Length of Charles garden = 12.5 m * 12 = 150 m
Length of Stephen chain = 150 m /18 = 25/3 m
Breadth of Charles garden - 25/3 * 10 = 250/3 m
Area of Charles garden = 150 m * 250/3 m = 12500 m =
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Sorry before it didn't came
Answer:
220
Step-by-step explanation:
If we take 20 common (as in we can take it out and group the rest) , we can say 20 (15 7/9-4 7/9) which is equal to 20 (11). 20x11 = 220.
please help me please
Answer:
(x+4)+(2x)
Step-by-step explanation:
Which angles are supplementary to
∠4
? Select all correct answers.
Answer:
Angle 3, and Angle 6
When added together with angle 4, their degrees equals to 180
Answer:
2 and 3, but 6 and 7 also work, they just aren't right next to each other
Step-by-step explanation:
1. A shuttle service charges each customer $10.00 for a ride from the airport to the hotel. It costs $45.00 each time the shuttle driver must fill up the gas tank. The shuttle company wants to make a profit of at least $6,000.00. (1) Designate variables for any unknown values. (2) Write an appropriate constraint to represent this scenario.
Step-by-step explanation:
Let's say x = number of customers, and y = number of tanks of gas.
The revenue is 10x.
The cost is 45y.
The profit is the revenue minus the cost. We want the profit to be at least $6000.
10x − 45y ≥ 6000
Simplify the expression 3y + 7 + 4y + 3.
Answer:
7y + 10
Step-by-step explanation:
Group the like terms
3y + 4y +7+3
7y+ 10
The simplified expression of 3y + 7 + 4y + 3 is 7y + 10.
What is an expression?A mathematical expression is made up of a statement, at least one arithmetic operation, and at least two integers or variables.
An expression or mathematical expression is a finite combination of well-formed symbols that adhere to context-dependent criteria.
Given:
The expressions, 3y + 7 + 4y + 3,
Simplify the above expression as shown below,
3y + 4y + 3 + 7 (Rearrange the variable and constant terms)
7y + 10 (Add the variable and constant)
Thus, the expression is 7y + 10.
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How to solve for x also what is an equation that I could do?
Answer:
x=15
Step-by-step explanation:
5x+17+36=128
5x+53=128
5x=75
x=15
1/7×7/1 pls show ur work
Answer: the answer is 1
Step-by-step explanation:
so we do Straight multiplication and I mean
1 x 7 (the numerators) which gives us 7
the denominator which is 7 x 1= 7
now we have the fraction 7/7 now we divide which gives us 1
N. 1 and 7/10 gallons of gasoline were used to drive 25 and 1/2 miles. How many
miles per gallon did the car get?
miles per gallon
Answer:
Similar to the question: They figure that they will drive 792 miles round trip. If their car gets 25 miles per gallon and the current cost of gasoline is $2.35, what will the gas for their trip cost? $74.45 George is taking the same trip to San Antonio (792 miles)
Step-by-step explanation:
Hope it helps :)
2 17× 415 find this answer
Answer:
\(217 \times 415 \\ \\ \\ \\ \\ \\ \\ = 90055\)
it's was helpful to you ❣️❣️
(9+2).0 = 0
Is it commutative, associative, identity ,inverse, property of zero, distributive
Answer:
The property used will be property of zero.
Step-by-step explanation:
If an equation or expression ever equals zero, then it will be property of zero.
ineed the answer plesee naww
use integration by parts to evaluate the definite integral ∫60te−tdt.
The value of the definite integral ∫[a to b] 60te^(-t) dt is -60be^(-b) + 60ae^(-a) - 60e^(-b) + 60e^(-a).
To evaluate the definite integral ∫60te^(-t) dt using integration by parts, we will apply the integration by parts formula:
∫u dv = uv - ∫v du,
where u and v are functions of t, and du and dv are their respective differentials.
Let's assign u = t and dv = 60e^(-t) dt. Then, we can determine du and v:
du = dt (the differential of u)
v = ∫dv = ∫60e^(-t) dt
To find v, we can integrate dv:
∫60e^(-t) dt = -60e^(-t)
Now, we can apply the integration by parts formula:
∫60te^(-t) dt = uv - ∫v du
= t(-60e^(-t)) - ∫(-60e^(-t)) dt
= -60te^(-t) + 60∫e^(-t) dt
= -60te^(-t) - 60e^(-t) + C,
where C is the constant of integration.
Since we are evaluating a definite integral, we can now substitute the limits of integration into the antiderivative expression and compute the result. Let's assume the limits are a and b:
∫[a to b] 60te^(-t) dt = [-60te^(-t) - 60e^(-t)] evaluated from a to b
= (-60be^(-b) - 60e^(-b)) - (-60ae^(-a) - 60e^(-a))
= -60be^(-b) + 60ae^(-a) - 60e^(-b) + 60e^(-a).
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help ne
-photos attached!!
Translate the triangle 4 units right and 3 units down. What are the coordinates of the image
-4-3-2
K
4
3
-2
O
2
234x
The coordinates are J'(_,_)K’(_,_)and L’(_,_)
Answer:
J': (3, 6)
K': (3, 4)
L': (0, 4)
Step-by-step explanation:
When we translate a point 4 units right, the x-coordinate of the point increases by 4 units, the y-coordinate remains the same
When a point is translated 3 units down, the y coordinate increases by 3 units, the x-coordinate remains the same
When you translate by 4 units right and 3 units down both x and y coordinates increase by 4 and 3 respectively
So when we apply this translation to the triangle, every point on that triangle, (x, y) changes to (x + 4, y + 3)
If we take the vertices of the triangle we see that the 3 vertices are
J(-1, 3) K(-1, 1) and L(-4, 1)
After applying the translation:
J(-1, 3) ==> J'(-1 + 4, 3 + 3) ==> J'(3, 6)
K(-1, 1) ==> K'(-1 + 4, 1 + 3) ==> K'(3, 4)
L(-4, 1) ==> L'(-4 + 4, 1 + 3) ==> L'(0, 4)
Give the names of two other statistics that have the same value as the 50 th percentile. Choose the correct answer below. A. Second quartile; median B. Second quartile; mean C. Third quartile; mode D. First quartile; midrange
The 50th percentile is a commonly used statistic in data analysis. It represents the value below which 50% of the data falls.
In other words, it divides the data into two equal parts. There are two other statistics that have the same value as the 50th percentile, namely the second quartile and the median. The second quartile is the middle value of the data when it is arranged in ascending or descending order.
It is also known as the 50th percentile or the median. The first quartile is the value below which 25% of the data falls, and the third quartile is the value below which 75% of the data falls.
The mean is another commonly used statistic in data analysis. It is the sum of all the values in the data divided by the total number of values. Unlike the median, the mean is affected by extreme values or outliers in the data. This means that if there are outliers in the data, the mean may not be a good measure of central tendency.
The mode is the value that occurs most frequently in the data. It is another measure of central tendency that can be used in addition to the median and mean.
In summary, the 50th percentile is equivalent to the second quartile and the median. These statistics are all measures of central tendency that help to describe the distribution of data. The choice that best answers the question is option A: Second quartile; median.
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Which expression is equivalent to 46.4-8?
A 1 over 4 to the power of 2 B 1 over 4 to the power of 1 C 4 to the power of 2 d 4 to the power of 14
\( {4}^{6} \times {4}^{ - 8} = {4}^{6 - 8} = {4}^{ - 2} = \frac{1}{ {4}^{2} } \\ \)
So the correct answer is (( a )) .
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