Multistage sampling is a probability sampling technique that involves sampling in stages or multiple steps. In this technique, a large population is divided into smaller subgroups, and then a random sample is selected from each subgroup.
Here is an example of multistage sampling:
Suppose we want to conduct a study on the prevalence of a certain disease among high school students in a particular country. The population of high school students in the country is very large, so it is not feasible to sample all of them. Instead, we can use multistage sampling to select a representative sample.
In the first stage, we randomly select a certain number of schools from different regions of the country. Let's say we select 20 schools.
In the second stage, we randomly select a certain number of classes from each of the selected schools. Let's say we select 2 classes from each of the 20 schools, resulting in a total of 40 classes.
In the third stage, we randomly select a certain number of students from each of the selected classes. Let's say we select 10 students from each of the 40 classes, resulting in a total of 400 students.
This process of selecting a sample in stages is an example of multistage sampling. By selecting schools, classes, and students in a random and systematic way, we can obtain a representative sample of high school students in the country, which can be used to estimate the prevalence of the disease.
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How do you write Euler's number in Symbolab?
To write Euler's number in Symbolab, you can simply use the notation "e". For example, if you want to evaluate the exponential function with a base of e raised to the power of 2, you can enter "e^2" in Symbolab.
Euler's number, denoted as "e", is a mathematical constant that is approximately equal to 2.71828. To write Euler's number in Symbolab, you can simply use the letter "e" in lowercase. For example, to evaluate the exponential function with a base of e raised to the power of 2, you can enter "e^2" in Symbolab.
Alternatively, if you want to use the built-in function for Euler's number in Symbolab, you can use the "exp(x)" notation, where x is the exponent. For example, to evaluate e raised to the power of 2, you can enter "exp(2)" in Symbolab. Symbolab supports various mathematical functions and constants, including trigonometric functions, logarithmic functions, and mathematical constants, which can be used to solve various mathematical problems.
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One way to establish validity of a questionnaire is my measuring:A) The correlation between the score on the questionnaire and another measure of the same conceptB) The alpha value of the reliability coefficientC) How well sunjects perform on the questionnaire at one time compared to another timeD) The consistency by which multiple sunjects are able to complete the questionnaire without error
The correct option is Option D) The consistency with which several individuals can complete the questionnaire without making an error is one technique to determine a questionnaire validity.
A questionnaire is a sort of research tool used to collect data from respondents for a survey or statistical analysis. It consists of a collection of questions (or other forms of prompts). Typically, a research questionnaire will have both closed-ended and open-ended questions. Long-term, open-ended inquiries provide the respondent the chance to go into more detail. The Statistical Society of London created the research questionnaire in 1838. Despite the fact that surveys are frequently created so that the answers may be statistically analyzed. Consequently, it may not be practical to conduct a survey using a questionnaire for some demographic groups.
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can someone explain the questions attached? thanks
The probability of landing on the head side of coin and rolling a 3 on the die is found as 1/12.
Explain about the term sample space?A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of feasible experiment results. Depending on the experiment, a sample area could contain a variety of results.Sample space for tossing a coin: (H,T)
P(head) = 1/2
Sample space for tossing a dice : (1, 2, 3, 4, 5, 6)
P(3) = 1/6
So,
Probability of head with 3 on the die = 1/ 2* 1/6 = 1/ 12
Thus, the probability of landing on the head side of the coin and rolling a 3 on the die is found as 1/12.
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The correct question is-
A coin is tossed and a single 6-sided die is rolled. Find the probability of landing on the head side of the coin and rolling a 3 on the die.
Enter your answer as a fraction in the form a/b (for example 2/3, 5/7) or as an integer.
Select all of the expressions that have a positive value based on the positions of a and b.
(Select all that apply.)
1. -b
2. a+b
3.a-b
4. a*b
5. -b/a
The expressions that have a positive value based on the positions of a and b are a + b and a×b. options 2 and 4
What are algebraic expressions?Algebraic expressions are defined as expressions that are made up of terms, variables, factors and constants.
These expressions are also composed of mathematical operations such as;
SubtractionBracketParenthesesMultiplicationAdditionDivisionFloor divisionGiven the expressions;
a+ b and a×b.
They have the variables both positive
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If f is differentiable at a, must f be continuous at a? A. No, if f is differentiable at a and does not have a corner at a, then f is continuous at a B. No, if f is differentiable at a and does not have a vertical tangent at a, then f is continuous at а. C. No, if f is differentiable at a and positive at a, then f is continuous at a. D. Yes, iff is differentiable at a, then fis continuous at a.
The correct statement regarding the continuity of differentiable functions is given as follows:
D. Yes, if f is differentiable at a, then f is continuous at a.
What is the continuity concept?A function f(x) is continuous at x = a if it is defined at x = a, and the lateral limits are equal, that is:
[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]
For a function to be classified as differentiable, the function must be continuous, plus the first derivative of the function must also be continuous.
This means that all differentiable functions are continuous, and thus the correct option is given by option D.
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A cylinder-shaped scoop has a base radius of 2 centimeters and a height of 5 centimeters. The scoop has a mass of 14.9 grams when empty. The scoop is completely filled with water. One cubic centimeter of water has a mass of one gram. What is the mass of the scoop of water in grams, including the mass of the scoop? Describe how you found your answer. Round to the nearest tenth.
Answer:
77.7 g
Step-by-step explanation:
You want the mass of a cylindrical scoop of radius 2 cm and height 5 cm when it is filled with water at 1 g/cm³, and has an empty mass of 14.9 g.
WaterThe mass of the water will be the product of its volume and its density. The volume is that of a cylinder with radius 2 cm and height 5 cm. That volume is given by the formula ...
V = πr²h = π(2 cm)²(5 cm) ≈ 62.83 cm³
The mass of the water is then ...
(62.83 cm³) × (1 g/cm³) = 62.83 g
Total massThe total mass of the water-filled scoop is the sum of its empty mass and the mass of the water:
scoop + water = 14.9 g + 62.8 g = 77.7 g
The mass of the scoop and water is 77.7 grams.
You must spend at least $10 at the grocery store to get a free greeting card
Answer:
I spent 13.32 at the store the other day...?
Step-by-step explanation:
What is the question.
Select all the equations that are equivalent.
52 = 8n + 4
4(2n + 1) = 52
4 = 52 – 8n
4n = 48
n = 6
The equivalent equations are 52 = 8n + 4, 4(2n + 1) = 52 and 4 = 52 – 8n.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
To determine which equations are equivalent to each other, we can simplify and manipulate each equation to see if they have the same solution(s).
52 = 8n + 4 can be simplified by subtracting 4 from both sides:
48 = 8n
n=6
Now 4(2n + 1) = 52
8n+4=52
8n=48
n=6
So the 52 = 8n + 4 and 4(2n + 1) = 52 are equivalent equations.
Now 4 = 52 – 8n
8n=52-4 is also equivalent equation.
4n=48 and n=6 are also equal but they are not in the same form as above equations.
Hence, 52 = 8n + 4, 4(2n + 1) = 52 and 4 = 52 – 8n are equivalent equations.
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Mateo currently has $100 in his bank account and plans on saving $20 per week in order to save for soccer camp over the summer. Write an equation to represent the amount of money saved, S, with respect to the number of weeks that have passed, w.
S = _ w + _
The equation that represents the amount of money saved is S = $100 + $20w
What is the equation that represents the amount of money saved?The equation that represents the amount of money saved is a linear equation . A linear equation is an equation that has a single variable raised to the power of 1.
The form of the linear equation is:
Total money saved = amount in the bank + (amount that would be saved each week x number of weeks)
S = $100 + ($20 x w)
S = $100 + $20w
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If you take - 3/10 of a number and add 1, you get 10. Write an equation to represent the situation. What is the original number
Answer: -30
Let's call the original number "x". Then, we can write the equation as follows:
-3/10 x + 1 = 10
To find the original number, we can isolate x by subtracting 1 from both sides and then multiplying both sides by 10/3:
-3/10 x = 9
x = (9 * 10)/(-3)
x = -30
So, the original number is -30.
How many nets are there for a triangular pyramid?
The net of a triangular pyramid consist of a total of 4 triangles. it has 4 faces with the base being one of them which is also in the shape of a triangle.
A net of the triangular pyramid is the pattern formed when the surface of it is laid out flat showing each triangular face of the figure, therefore we know that the net of a triangular pyramid consist of a total of 4 triangles.
Triangular pyramid is a pyramid which has a triangular base. In geometry, vertices are essentially corners. All triangular-based pyramids, either regular or irregular, have four vertices.
It has 6 edges, 4 faces, 4 vertices.
A regular triangular pyramid has equilateral triangles all four faces
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Suppose that n 0 and n 1. Show that the substitution v = y^1-n transforms the Bernoulli equation dy/dx + P (x) y = Q(x) y^n into the linear equation dy/dx +(1-n)p(x)v(x)=(1-n)q(x).
The substitution, transforms the Bernoulli equation dy/dx + P(x)y = Q(x)y^n into the linear equation dv/dx+(1-n)P(x)v(x) = (1 - n)Q(x). It is done as:
The equation is in the form
dy/dx +P(x)y=Q(x)yⁿ, where P and Q are functions of x or constants, this is called Bernoulli's equation.
Now, we have to substitution using
[tex]v = {y}^{1 - n} [/tex]
Differentiating both side with respect to 'x'
[tex]v' = (1 - n) {y}^{ - n} y' \\ \frac{dx}{dy} = \frac{1}{1 - n} {y}^{n} v'[/tex]
we get,
[tex]= \frac{1}{1 - n} {y}^{n} v' + p(x)y \\ = q(x) {y}^{n} \\ = v' + (1 - n)p(x) {y}^{1 - n} \\ = (1 - n)q(x)[/tex]
Now, by using
[tex]v' = {y}^{1 - n} [/tex]
The given equation is expressed as:
[tex]v + (1 - n)p(x)v = (1 - n)q(x)[/tex]
or dv/dx + (1-n)P(x)v(x) = (1 - n)Q(x)
The Bernoulli equation simply states that total energy per unit mass of flowing fluid, at any point in the subsurface, is the sum of the kinetic, potential, and fluid-pressure energies and is equal to a fixed value. The Bernoulli Equation can be viewed as a statement of the conservation of energy principle applicable to flowing fluids.
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What is the result of multiplying the first equation by 2 and adding to the second equation?
6x − y = 7
2x + y = 5
A. 14x + 3y = 19
B.14x + y = 19
C.14x - y = 19
a || b and p is a transversal. If m 1 = 140°, find the
measure of each angle giving one reason for each answer.
(The first one is done for you.)
Answer:
Angle 4 = 140
Angle 3= 40
Angle 5=140
angle 6=40
angle 7=40
Step-by-step explanation:
Adjacent angles are congruent. Thats how I can tell angle 4 is 140. And also how i can tell angle 3 is 40. Any questions?
im not explaining the rest im too tired
btw I also do 8th math lol it stinks.
Paul, Maria, Stephanie, and Andy have a total of $56 to spend at the amusement park. Admission will cost them $5 each for a total of $20. They can spend the rest on food and rides. They plan to spend twice as much on rides as on food. How much do they plan to spend on rides?
Answer:
They plan to spend $24 on rides.
Step-by-step explanation:
Let the amount they spend on food be x.
ride : 2x
amount left= $56-$20
= $36
2x+x= 36
x=12
2x= 2(12)
= 24
What is the average increase in pennies for Daisy's piggy bank over the first 2 days (starting with day 0)?
The average increase in first 2 days is 1.5 pennies/day.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Given is a tabular data about Daisy's piggy bank.
The average increase in first 2 days -
{a} = (7 - 4)/(2 - 0)
{a} = 3/2
{a} = 1.5
Therefore, the average increase in first 2 days is 1.5 pennies/day.
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the sum of 3 consecutive multiples of 8 is 888 find the multiples
[tex]\fbox{\textbf{288, 296, and 304}}
[/tex]
Step-by-step explanation:Let's assume the first multiple of 8 is x, then the second multiple is x+8, and the third multiple is x+16.According to the problem statement, the sum of these three multiples is 888:x + (x+8) + (x+16) = 888Simplifying the left side:3x + 24 = 888Subtracting 24 from both sides:3x = 864Dividing both sides by 3:x = 288Therefore, the first multiple of 8 is 288, the second is x+8 = 296, and the third is x+16 = 304.So, the three consecutive multiples of 8 that add up to 888 are 288, 296, and 304What is the degree of 7c3d2
The degree of the expression 7c³d² is 2
How to determine the degreeFrom the question, we have the following parameters that can be used in our computation:
Expression = 7c³d²
The degree of an expression is the highest power in the expression
In this case,
7c³ = Constant
d² = Variable
The highest power of the variable is 2
Hence, the degree is 2
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PLEASE ANSWER ASAP THANKS
The value of x is 97.
What are corresponding angles?The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.
Corresponding angles are always equal.
We can also have alternate angles which are always equal.
We can also have alternate interior and exterior angles which are equal.
The angles on the same side make upto 180 degrees
We have,
From the figure,
(x - 5) and (x - 9) forms a straight angle.
This means,
x - 5 + x - 9 = 180
Solve for x.
2x - 14 = 180
2x = 180 + 14
2x = 194
x = 97
Thus,
The value of x is 97.
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Two important ingredients for baking bread are
yeast and flour. To make a loaf of bread of at
most
30 servings, maintain a yeast to
flour ratio of 1:200. If you're making a loaf of more than 30
servings, use a ratio of 1:180.
If you're making 30 servings
of bread and using 0.25 oz of yeast, how many ounces of flour do you
need?
If you're making 60 servings of bread and using 540 oz of flour, how many ounces of yeast do you
need?
NOTE: Enter only numerals for each of your answers.
If you're making 60 servings of bread and using 540 oz of flour, then the number of ounces of yeast you need is 3 oz.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Given that, to make a loaf of bread of at most 30 servings, maintain a yeast to flour ratio of 1:200. If you're making a loaf of more than 30 servings, use a ratio of 1:180.
If you're making 30 servings of bread and using 0.25 oz of yeast, then
0.25/Flour = 1/200
Flour = 50 oz
If you're making 60 servings of bread and using 540 oz of flour, then
Yeast/540 = 1/180
Yeast = 3 oz
Therefore, if you're making 30 servings of bread and using 0.25 oz of yeast, then the number of ounces of flour you need is 50 oz.
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Convert 2 pints into milliliters. Round your answer to the nearest whole number.
Answer: 946 ml
Step-by-step explanation: 1 pint= 473.2
2*
473.2= 946.4
=946 ml
f(x)=x² +16x-24 and
g(x)=x²-5x-17, find (ƒ + g)(x).
If functions f(x)=x² +16x-24 and g(x)=x²-5x-17 then (f+g)(x) is 2x² +11x-41.
What is a function?A relation is a function if it has only One y-value for each x-value.
The given functions are f(x)=x² +16x-24 and g(x)=x²-5x-17.
We need to find (ƒ + g)(x).
From properties we have (ƒ + g)(x)=f(x)+g(x)
(ƒ + g)(x)=x² +16x-24+x²-5x-17.
Add the like terms
(f+g)(x)=2x² +11x-41
Hence, if functions f(x)=x² +16x-24 and g(x)=x²-5x-17 then (f+g)(x) is 2x² +11x-41.
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8 A crystal paperweight
is shaped like a cylinder with a star-shaped hole. The
top of the star-shaped hole is shaped like a square with four points that are
identical equilateral triangles. The height of the cylinder is 3 centimeters. Find
the volume of the paperweight.
Please Help ASAP!!!
The volume of the paperweight is 79.3 cm³.
What is a cylindrical shape?A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.
Examples of cylinders are toilet paper rolls and cold beverage cans.
The volume of a cylinder is πr²h.
Curved surface area = 2πrh.
Total surface area = 2πr(h + r).
From the given information, The area of the star-shaped cutout is,
A square has a side length of 2 cm, and four equilateral triangles have a side and a height of 2 cm.
So, The area of the star-shaped cutout is,
= (2×2) + 4×(1/2)×2×2.
= 4 + 8.
= 12 cm.
Now, The volume of the star-shaped cut-out is,
= 12×height,
= 12×3.
= 36 cm³.
And the volume of the cylinder is,
= π(1 + 2 + 0.5)²×3.
= π(3.5)²×3.
= 115.4 cm³
Therefore, The volume of the paperweight is,
= 115.4 - 36 cm³.
= 79.3 cm³.
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Solve for x . circles tangent 1 A. 12 B. 10 C. 42 D. 9
8 is the measure if the angle x in the given diagram.
Circle geometryThe point where two lines meet is known as an angle. The given diagram is a circle geometry.
Using the theorem, angle at the arc is twice the angle at the vertex, we will have:
80 = 2(4x + 8)
80/2 = 8x + 8
40 = 4x + 8
4x = 40 - 8
4x = 32
x = 32/4
x = 8
Hence the value of x from the diagram given is 8
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Which number is a factor of 24 but not a multiple of 12
1. Arturo earns n dollars per hour. Next month
he will receive a 2% raise in pay per hour. The
expression n +0.02n is one way to represent
Arturo's pay per hour after the raise. Write
an equivalent simplified expression that will
represent his pay per hour after the raise.
The equivalent simplified expression is 1.02n.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
Given that, Arturo earns n dollars per hour. Next month he will receive a 2% raise in pay per hour.
The expression n +0.02n is one way to represent Arturo's pay per hour after the raise.
Here, the equivalent expression is n +0.02n= 1.02n
Therefore, the equivalent simplified expression is 1.02n.
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Choose the best answer.
A statement in which a conclusion is true if the conditions of a particular hypothesis are true is called a
A statement in which a conclusion is true if the conditions of a particular hypothesis are true is called a conditional statement.
What is the conditional statement?A conditional statement is one that has the form "If P then Q," where P and Q are sentences. P is referred to as the hypothesis in this conditional statement, and Q is referred to as the conclusion. "If P then Q" implies that Q must be true sometimes when P is true.
The type of conditional statements are as follows:
General truth: I feel better all day if I eat breakfast.Future event - I will investigate tonight if I have a scan tomorrow.Assumption: If I had a million dollars, I would purchase an airplane!Hypothetical outcome - I might have been offered the position if I had geared up for the interview.A statement in which a conclusion is true if the conditions of a particular hypothesis are true is called a conditional statement.
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Which statements are correct about the average rate of change for the function
given in the table?
x y
1 1
2 3
3 7
4 15
Select all correct answers.
Select 2 correct answer(s)
The correct answer is the rate of change is 6 over interval 1 ≤ x ≤ 4 and the rate of change is 6 over interval 2 ≤ x ≤ 4
What is the rate of change?Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. In general, the formula for rate of change is: R = (D2 - D1)/T. where: R = rate of change.
Given that is a table, we need to find the average rate of change for the function,
a = 1, f(a) = 1
b = 2, f(b) = 3
Average rate of change is given by = f(b)-f(a) / b-a
= 3-1 / 2-1
= 2
a = 3, f(a) = 7
b = 4, f(b) = 15
Average rate of change is given by = f(b)-f(a) / b-a
= 15-7 / 4-3
= 8
a = 2, f(a) = 3,
b = 3, f(b) = 7
Average rate of change is given by = f(b)-f(a) / b-a = 4
Hence, the correct answer is the rate of change is 6 over interval 1 ≤ x ≤ 4 and the rate of change is 6 over interval 2 ≤ x ≤ 4
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x^2+y^2=100 is it a function?
The equation x^2+y^2=100 is not a function
How to determine if it is a functionFrom the question, we have the following parameters that can be used in our computation:
x^2 + y^2 = 100
The above equation is a circle equation
As a general rule, we have
Circle equations are not functions and they do not represent a function on a graph
Hence, x^2+y^2=100 is not a function
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What is the connection string for SQL Server using Windows Authentication?
The connection string for SQL Server using Windows Authentication is as follows:
Server=myServerAddress;Database=myDataBase;Trusted_Connection=True;
Specify the server address in the format "Server=myServerAddress". Replace "myServerAddress" with the name or IP address of the SQL Server instance you want to connect to.
Specify the name of the database you want to connect to in the format "Database=myDataBase". Replace "myDataBase" with the name of the database.
Use Windows Authentication by setting "Trusted_Connection=True". This means that the user running the application is authenticated using their Windows credentials, rather than a SQL Server login.
Use semicolons (;) to separate the different parts of the connection string.
Using Windows Authentication is a more secure and convenient way to connect to a SQL Server database, as it eliminates the need to store and manage login credentials in the application.
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