A sample is the entire set of elements in which a researcher is interested.
A. True
B. False
False.A sample is a subset of the entire set of elements in which a researcher is interested.
Is it true that a sample is the complete set of elements that a researcher is interested in studying?A sample is a subset of the entire set of elements in which a researcher is interested. The sample is typically selected to represent the characteristics of the larger population from which it is drawn.
By studying the sample, researchers can make inferences about the larger population. However, the sample is not the entire set of elements, but rather a smaller subset selected for study.
In research, the population refers to the entire set of elements that a researcher is interested in studying. This could be a group of people, animals, objects, or events that share common characteristics.
For example, if a researcher is interested in studying the effects of a new drug on patients with a certain disease, then the population would be all patients with that disease.
However, it is not always possible or practical to study the entire population. This is where sampling comes in. A sample is a smaller subset of the population that is selected to represent the characteristics.
By studying the sample, researchers can make inferences about the larger population.
For example, if a researcher wants to study the average height of people in a certain city, it would be impractical to measure the height of every single person in the city.
Instead, the researcher could select a representative sample of people and measure their height, then use statistical methods to estimate the average height of the entire population.
In summary, while the population refers to the entire set of elements in which a researcher is interested, a sample is a smaller subset of that population that is selected for study.
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suppose a large shipment of laser printers contained 14% defectives. if a sample of size 411 is selected, what is the probability that the sample proportion will differ from the population proportion by greater than 4%? round your answer to four decimal places.
The probability that the sample proportion will differ from the population proportion by greater than 4% is 0.990.
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
µ = p
The standard deviation of this sampling distribution of sample proportion is:
σ = √p(1-p)/n
The information provided is:
p = 0.14
n = 41
As the sample size is large, i.e n = 411 > 30. the central limit theorem can be used to approximate the sampling distribution of sampling proportion.
Compute the values of P(p^ - p >0.04) as follows:
P(p^ - p < 0.04) = P(p^-p/σ > 0.04/√0.14(1-0.14)/411
= P(Z>2.33)
= 0.990
Thus the probability that the sample proportion will differ from the population proportion by greater than 4% is 0.990
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Find the area of each parallelogram.
Answer:
30 and 21
Step-by-step explanation:
Identify the expression equivalent to 2x 8 by substituting x = 7 and x = 5. a. 2x 10 10 b. 2(x 2) c. (x 4) (x 4) d. (x 4) e. 2(2x 4)
the expression equivalent to 2x + 8 is (x+4) + (x+4)
using the commutative property we can say that
2x +8 = x + x + 8
also 2x + 8 = x + 4 + x + 4
hence 2x + 8 = (x+4) + (x+4)
What is an expression?Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both.Addition, subtraction, multiplication, and division are all possible mathematical operations.There are two sorts of expressions in mathematics: numerical expressions, which only contain numbers, and algebraic expressions, which also include variables.In a mathematical expression, the following terms are used:An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.a number that is multiplied by a variable is referred to as a coefficient.To know more about variable with the given
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In 2014, a survey stated that 51% of 650 randomly sampled North Carolina residents planned to set off fireworks on July 4th. a) Determine the margin of error for the 95% confidence interval for the proportion of North Carolina residents that plan to set off fireworks. Give your answer to three decimal places. Margin of Error = _____% b) How many randomly sampled residents do we need to survey if we want the 95% margin of error to be less than 3%? Sample size > _____ People
To find the required sample size for a margin of error less than 3%, we can rearrange the formula for the margin of error:
\(n = (Z^2 * p * (1 - p)) / (E^2)\)
Here, Z represents the critical value, p is the estimated proportion (0.51), and E is the desired margin of error (0.03)
To determine the margin of error for the 95% confidence interval, we need to use the formula:
Margin of Error = Critical value * Standard error
The critical value for a 95% confidence level can be obtained from the standard normal distribution table, which corresponds to 1.96. The standard error can be calculated using the following formula:
Standard error = \(\sqrt{(p * (1 - p) / n)}\)
Given that the proportion of North Carolina residents planning to set off fireworks is estimated to be 51% (0.51) based on the survey, we can substitute the values into the formula. However, the sample size (n) is not provided in the question, so we need to determine it in the next part.
To find the required sample size for a margin of error less than 3%, we can rearrange the formula for the margin of error:
\(n = (Z^2 * p * (1 - p)) / (E^2)\)
Here, Z represents the critical value, p is the estimated proportion (0.51), and E is the desired margin of error (0.03). Substituting these values into the formula, we can solve for the required sample size.
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calcular el valor de la fuerza desconocida en cada gráfico, si el sistema esta en equilibrio (les pongo coronita :c ayuda porfaaa)
Answer:
7. F=24N
8. P=16N
Step-by-step explanation:
the sum of all forces will equals 0
identify the level of measurement for each of the following variables. Each variable will be best categorized as nominal, ordinal, interval or ratio.
1. Disease status for a patient, defined as either "Yes, present" or "No, absent" 2. Number of bones broken in the last year
3. A job satisfaction question asking: "How satisfied are you with your job?", rated on a scale of -5 to +5 where -5 = very dissatisfied and +5 = very satisfied
4. Amount of money spent on Christmas presents
5. World rankings of tennis players
6. Distance ran per week (measured in miles)
7. An individual's personal ranking of the following values: honesty, hard-work, punctuality
1. Nominal
2. Ratio
3. Interval
4. Ratio
5. Ordinal
6. Ratio
7. Ordinal
The terms you provided refer to different types of data that can be collected in research or surveys. Here's an explanation of each type:
Nominal: This type of data represents categories or groups that have no inherent order or ranking. Examples might include gender (male/female), race (White/Black/Latino/etc.), or political affiliation (Democrat/Republican/Independent).
Ratio: Ratio data has a true zero point, meaning that a value of 0 indicates the complete absence of the thing being measured. Examples might include height, weight, or age.
Interval: Interval data is similar to ratio data in that it has a meaningful scale, but it does not have a true zero point. Examples might include temperature (in Celsius or Fahrenheit) or IQ scores.
Ratio: As mentioned earlier, ratio data has a true zero point and includes measurements such as length, width, time duration, weight, etc.
Ordinal: This type of data represents categories that do have an inherent order or ranking but do not necessarily have equal intervals between them. For example, letter grades (A/B/C/D/F) or rankings (first, second, third) are ordinal data.
Ratio: Again, ratio data has a true zero point and includes measurements such as income, distance, or number of items.
Ordinal: Another example of ordinal data would be a Likert scale, which measures levels of agreement or disagreement on a scale of "strongly agree" to "strongly disagree".
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What is the remainder when 3x^2-7x+5 is divided by x+5
answer
f(-5)=115
Step-by-step explanation:
x+5=0
x=-5
f(x)=3x^2-7x+5
f(-5)=3*(-5)^2-7(-5)+5
f(-5)=3*25+35+5
f(-5)=115
I need help with this ok thanks I’m having a real hard time
BRANLIEST if you get thanks :)
Answer:
1-11 2-4 3-14 4-9 5-8 6-12 7-15
Step-by-step explanation:plz mark brainliest
Answer:
7+3=10
5+3=8
9+2=11
3+1=4
9+5=14
5+4=9
6+2=8
4+8=12
8+7=15
4.5 is 7.5% of what number?
Answer:
60
Step-by-step explanation:
The required number is 60.
What is percent?In mathematics, a percent is a number or ratio expressed as a fraction of 100. It is often denoted using percentage sign "%".
Now the given expression is,
4.5 is 7.5%
Let x be the number.
Therefore, 7.5% of x is 4.5
⇒ 7.5% of x = 4.5
⇒ 7.5% * x = 4.5
⇒ 7.5/100* x = 4.5
⇒0.075 x = 4.5
Dividing both side by 0.075 we get,
x = 4.5 / 0.075
Solving we get,
x = 60
this is the required number.
Thus,the required number is 60.
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the _____ of a trapezoid is a segment whose endpoints are the midpoints of its legs.
Answer:
The segment that connects the midpoints of the legs of a trapezoid is called the median of the trapezoid.
Step-by-step explanation:
Find the quotient. 3 WN 4. 3 25 5 2 4 3- + 3 3 5 . (Type a whole number, fraction, or mixed number.)
Answer:
The quotient of the given expression is;
\(3\frac{2}{3}\div3\frac{4}{5}=\frac{55}{57}\)Explanation:
Given the expression;
\(3\frac{2}{3}\div3\frac{4}{5}\)To solve, let us convert the mixed fraction to improper fraction.
\(\begin{gathered} 3\frac{2}{3}\div3\frac{4}{5} \\ \frac{3(3)+2}{3}\div\frac{5(3)+4}{5} \\ \frac{11}{3}\div\frac{19}{5} \end{gathered}\)Then we can now divide the fractions to get the quotient;
\(\begin{gathered} \frac{11}{3}\div\frac{19}{5} \\ \frac{11}{3}\times\frac{5}{19} \\ \frac{11\times5}{3\times19} \\ =\frac{55}{57} \end{gathered}\)Therefore, the quotient of the given expression is;
\(3\frac{2}{3}\div3\frac{4}{5}=\frac{55}{57}\)A family wants to rent a car to go on vacation . company a charges 65.50 and 16¢ per mile . Company b charges 50.50 and 9¢ per mile . how much more company a charge for x miles than company b
The weight, y, in pounds, of kittens was tracked for the first 8 weeks after birth where t represents the number of weeks after birth. The linear model representing this relationship is ŷ = 1. 7 + 1. 48t. Statler wanted to predict the weight of a kitten at 10 weeks. What is this an example of, and is this method a best practice for prediction?
While linear regression can be a useful tool for prediction, it is important to consider the quality of the data, assess the linearity assumption, and be cautious when extrapolating beyond the observed data range.
This is an example of using linear regression to predict the weight of a kitten at a specific time (10 weeks in this case) based on the given linear model ŷ = 1.7 + 1.48t.
Using linear regression to make predictions is a common practice and can provide reasonable estimates in many cases. However, whether it is considered a best practice for prediction depends on various factors. Here are a few considerations:
Data quality: The accuracy and reliability of the predictions heavily depend on the quality of the data used to build the linear model. If the data used for training the model is representative and accurately reflects the underlying relationship, the predictions are likely to be more reliable.
Linearity assumption: Linear regression assumes a linear relationship between the predictor variable (in this case, time) and the response variable (kitten weight). If the relationship is not truly linear, the predictions may be less accurate. It is important to assess the linearity assumption and consider alternative models if needed.
Extrapolation: When making predictions outside the range of the observed data (such as predicting the weight at 10 weeks when the data only goes up to 8 weeks), caution should be exercised. Extrapolating beyond the observed range can introduce more uncertainty and may lead to less accurate predictions.
In summary, while linear regression can be a useful tool for prediction, it is important to consider the quality of the data, assess the linearity assumption, and be cautious when extrapolating beyond the observed data range.
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Translate the sentence into an equation.
Four times the sum of a number and 5 is 3.
Use the variable w for the unknown number.
Answer:
Step-by-step explanation:
4(w +5) =3
→w+5=3/4
Clara and Toby are telemarketers. Yesterday, Clara reached 4 people in 10 phone calls, while Toby reached 3 people in 8 phone calls. If they continue at those rates, who will reach more people in 40 phone calls?
Answer:
clara will reach more than toby
Solve the equation 9=h/9
evaluate the expression 6x + 4 9/10 when x = 2/3.
x=2/3
6(2/3) + 4 9/10 =4 + 4 9/10 = 8 9/10
Answer:
2x-1=y,2y+3=x
Step-by-step explanation:
no explanation
Detail every step of the solution processX+4 2. (10 points) If r(x) = ***find the following: x²-4 a. X-intercept(s) b. y-intercept C. Vertical asymptote, if any. d. Horizontal asymptote, if any. e. Domain (in interval notation)
\(r(x) = (x+4) / (x^2-4),\) the x-intercept is (-4, 0), the y-intercept is (0, -1), there are two vertical asymptotes at x = -2 and x = 2, the horizontal asymptote is y = 0, the domain in interval notation is: (-∞, -2) U (-2, 2) U (2, ∞).
To solve the given problem, we will follow these steps:
1. Determine the x-intercepts.
2. Determine the y-intercept.
3. Determine the vertical asymptote, if any.
4. Determine the horizontal asymptote, if any.
5. Determine the domain in interval notation.
Given: \(r(x) = (x+4) / (x^2-4)\)
a. To find the x-intercepts, set r(x) = 0 and solve for x:
\((x+4) / (x^2-4) = 0\)
x+4 = 0
x = -4
So, the x-intercept is (-4, 0).
b. To find the y-intercept, set x = 0 and solve for r(x):
\(r(0) = (0+4) / (0^2-4) = 4 / -4 = -1\)
So, the y-intercept is (0, -1).
c. To find the vertical asymptote, set the denominator equal to 0 and solve for x:
\(x^2-4 = 0\)
(x+2)(x-2) = 0
x = -2 or x = 2
So, there are two vertical asymptotes at x = -2 and x = 2.
d. To find the horizontal asymptote, analyze the degrees of the numerator and denominator. Since the degree of the numerator is 1 and the degree of the denominator is 2, the horizontal asymptote is y = 0.
e. To find the domain, identify any values of x that would make the denominator equal to 0. We've already found these values to be x = -2 and x = 2. Thus, the domain in interval notation is:
(-∞, -2) U (-2, 2) U (2, ∞).
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angle A and angle B are vertical angles. If mA = (2x +29)° and m
B = (3x - 17)°, then find the measure of angle B.
The angle B has a measure of 121 degrees
What are angles?Angles are formed when two or more lines intersect. This in other words means that angles is the measure of space between the intersection of rays or lines
How to determine the measure of the angle?The angles are given as
A = 2x + 29
B = 3x - 17
Also, we have:
The angles are vertical angles
Vertical angles are congruent angles
This means that
A = B
So, we have
2x + 29 = 3x - 17
Evaluate the like terms
x = 46
Substitute x = 46 in B = 3x - 17
B = 3 x 46 - 17
Evaluate
B = 121
Hence, the measure of the angle B is 121 degrees
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Answer:
Step-by-step explanation:
b=(3x-17) degrees.
determine whether the sets below are bases for r 3 . of the sets which are not bases, determine which ones are linearly independent and which ones span r 3 . justify your answers.
Only the set {(1,0,0), (0,1,0), (0,0,1)} is a basis for r3, because it satisfies both conditions for a basis - linearly independent and spanning the entire space
Basis is an important concept in linear algebra that refers to a set of vectors in a given vector space that can be used to represent all other vectors in the space.
Here are the sets that we are asked to determine whether they are bases for r3:
{(1,0,0), (0,1,0), (0,0,1)}
{(2,0,0), (0,1,0), (0,0,1)}
{(1,1,1), (1,0,0), (0,1,0)}
The vectors are linearly independent, meaning that no vector in the set can be expressed as a linear combination of the others. For example, (1,0,0) cannot be expressed as a linear combination of (0,1,0) and (0,0,1).
The vectors span the entire space, meaning that any vector in r3 can be expressed as a linear combination of the vectors in the set. For example, (1,1,1) can be expressed as (1,0,0) + (0,1,0) + (0,0,1).
{(2,0,0), (0,1,0), (0,0,1)}
This set is not a basis for r3 because the vectors are not linearly independent. We can express (2,0,0) as a linear combination of (0,1,0) and (0,0,1). However, this set still spans the entire space.
=> {(1,1,1), (1,0,0), (0,1,0)}
This set is not a basis for r3 because it does not satisfy both conditions for a basis. The vectors are not linearly independent because (1,1,1) can be expressed as (1,0,0) + (0,1,0).
Additionally, this set does not span the entire space because there are vectors in r3 that cannot be expressed as a linear combination of the vectors in this set.
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How many terms are in the expression a3 + 3a2b - 4ab - 11b + 7?
6
7
5
4
Answer:
5 Terms
Step-by-step explanation:
First we will count how many terms are there in this expression
a3
3a2b
-4ab
-11b
7
There are total 5 Terms in this expression
How do you graph the number 7 - 5i in the complex plane and find its absolute value?
The absolute value of 7 - 5i is sqrt(74). To graph the number 7 - 5i, we plot the point (7, -5). This point represents the complex number 7 - 5i.
The complex plane is a coordinate system with the real numbers on the horizontal axis and the imaginary numbers on the vertical axis.
The absolute value of a complex number is its distance from the origin. The absolute value of 7 - 5i can be found using the Pythagorean theorem. The real part of 7 - 5i is 7 and the imaginary part is -5. The distance formula gives us:
|7 - 5i| = sqrt(7^2 + (-5)^2) = sqrt(49 + 25) = sqrt(74)
Therefore, the absolute value of 7 - 5i is sqrt(74).
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need help solving these please!
Answer:
kidding meee
Step-by-step explanation:
Doood you are kiding me
Write each number in either scientific notation or standard notation.
Part A:
The distance of the sun from the center of the Milky Way galaxy is 26,000 light years.
Answer:
In standard notation, the number is \(2.6 * 10^4\) light years
Step-by-step explanation:
We have to write the number 26,000 in standard notation,
in standard notation, there is 1 number before the decimal and all others come after the decimal and some power of 10 is multiplied depending upon the number,
in our case,
26000 = 2.6 * 10^4
(since the number is 26 thousand 2.6 ten thousand and ten thousand = 10^4)
In a statistical display, each data value should be represented by the same amount of area. this is known as the?
Area Principle. In a statistical display, each data value should be represented by the same amount of area. Bar chart (Relative Frequency Bar Chart)
Using rectangular bars with heights or lengths proportional to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. A column chart is another name for a vertical bar graph.
Using rectangular bars with heights or lengths proportional to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. A column chart is another name for a vertical bar graph.
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If a1 = -9, and an = -6 an-1, list the first five terms of an: . {a1, a2, a3, a4, a5}
The first five terms of the sequence are {-9, 54, -324, 1944, -11664}.Hence, the first five terms of the sequence are {-9, 54, -324, 1944, -11664}.
Given that a1 = -9 and an = -6an-1 to find the first five terms of an: {a1, a2, a3, a4, a5}
We have to use the formula an = -6 an-1 to find the next terms.
The first term a1 is given to us. So, a1 = -9
We can use the formula an = -6an-1 to find the next term using a1= -9 an1 = -6 * a1 = -6 * (-9) = 54
Thus the first two terms of the sequence are {-9, 54}.
We can use the formula an = -6an-1 to find the third term an2 = -6 * an1= -6 * 54 = -324
Thus the first three terms of the sequence are {-9, 54, -324}.
We can use the formula an = -6an-1 to find the fourth term an3 = -6 * an2= -6 * (-324) = 1944
Thus the first four terms of the sequence are {-9, 54, -324, 1944}.
We can use the formula an = -6an-1 to find the fifth term an4 = -6 * an3= -6 * (1944) = -11664
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three members d,m,n are in the ratio 3:6:4.find the value of 4m-m over m+2n
Answer:
D : M : N
3 : 6 : 4
4M-M= 4(6)-6= 24-6= 18
M+2N= 6+2(4)= 6+8= 14
Answer the question please
Answer:
81 degrees
Step-by-step explanation:
Because of exterior angles u=u-41+u-40
Solve:
u=2u-81
0=u-81
u=81
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4