Which of the following statements is true about systematic random sampling?
A- Systematic random sampling requires a finite population size.
B- Systematic random sampling catches all patterns present in the population.
C- Systematic random sampling can be used, even if knowledge of the entire population is not known.
D- The starting point can always be the first person seen, as long as the gap between the first and second person is a random number.
Answers
I hope this helps you!
Systematic random sampling involves a selection technique in which samples are selected at fixed intervals. Hence, the true statement is "Systematic random sampling can be used, even if knowledge of the entire population is not known."
Systematic random sampling would fail to catch all patterns because the samples are selected at periodically at fixed intervals, hence, the possibility of missing pattern is very possible. Starting point could be at any point and hence, might not be the first sample in the population.However, without knowing the entire population size, systematic random samples could be selected from the population.
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Related Questions
Find the surface area of a cylinder with a height of 8 and a base radius of 5 m.
Use the value 3.14 for, and do not do any rounding.
Be sure to include the correct unit.
Answers
Using the height and radius given, the surface area of the cylinder is 408.2m²
What is surface area of a cylinder?The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:
A = 2πrh + 2πr²
where:
A is the surface area of the cylinder,π is the mathematical constant r is the radius of the base of the cylinder, andh is the height (or length) of the cylinder.In the given question, the data are;
h = 8mr = 5mSubstituting the value into the formula
A = 2π(5 * 8) + 2π(5)²
A = 408.2m²
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The sum of three numbers is 125. The first number is 7 more than the first. The third number is 4 times the second.What are the numbers
Answers
Answer:
15, 22, 88
Step-by-step explanation:
I assume you mean the second number is 7 more than the first. Write the system of equations:
x + y + z = 125
y = x + 7
z = 4y
Substitute the third equation into the first.
x + y + 4y = 125
x + 5y = 125
Substitute the second equation.
x + 5(x + 7) = 125
6x + 35 = 125
6x = 90
x = 15
Solve for the other variables.
y = 22
z = 88
What is the domain of f(x)? {x | 1 < x < 5} {x | 1 < x < 5} {y | −4 < y < 1} {y | −4 < y < 1}
Answers
The domain of function f(x) is given as follows:
{x | 1 ≤ x < 5}.
How to define the domain and range of a function?The domain of a function is defined as the set containing all possible input values of the function, that is, all the values assumed by the independent variable x in the context of the function.The range of a function is defined as the set containing all possible output values of the function, that is, all the values assumed by the dependent variable y in the context of the function.The values of x of the function given at the end of the answer are as follows:
Starts at x = 1(closed interval).Ends at x = 5 (open interval).Hence the domain is given as follows:
{x | 1 ≤ x < 5}.
Missing InformationThe function is given by the image presented at the end of the answer.
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Answer:
A - {x | 1 < x < 5}
Step-by-step explanation:
took the Quiz
Select the reason that best supports Statement 8 in the given proof.
Answers
Given
Ray RV bisects angle ABC
\(\begin{gathered} m\angle ABV=7x-3 \\ m\angle VBC=2x+7 \end{gathered}\)Find
Select the reason that best supports statement 8 in the given proof.
Explanation
Given
Ray RV bisects angle ABC
so , by definition of angle bisect
\(m\angle ABV=m\angle VBC\)by substitution ,
\(7x-3=2x+7\)addition property of equality
\(7x=2x+10\)now, by substitution property of equality ,
\(5x=10\)and last , by division property of equality
\(x=2\)Final Answer
Therefore , the correct option is B.
Plz, help! Due soon!
You have just been hired as New York’s premier Real Estate Agent! In your company, you will make a 7% commission. The real estate market in New York is booming! As the realtor calculates your potential commission if you sell the property for list price.
If the listing price for Candy Cane Creek is $864, 550, how much commission would you receive?
Answers
Answer
$60,515:
Step-by-step explanation:
Answer:
$60,515:
..............
(paragraph) out of plato, arstotle and socrates qhich was the most profound impact on oiy society provides reasons and cite evidence.
Answers
Answer:
Step-by-step explanation:
The ancient Greek philosophers Plato and Aristotle may seem like the quintessential Dead White Males, but in fact they’re very much alive. Twenty four centuries ago they laid the foundations of Western culture, and their ideas and insights still dictate essential features of our world right now, from what we eat to what we see on the Internet
this is what I found and i know feed off of
Which expression is equivalent to (3+4i)(2−3i)
Answers
The expression that is equivalent to the given value would be = 18-i . That is option C.
What is an equivalent expression?An equivalent expression is defined as the type of expression that is similar to a given value when simplified.
The given expression = ( 3 + 4i) ( 2 - 3i)
Expand the given expression by removing the brackets as follows:
= =2(3+4i)−3i(3+4i)
=(6+8i)−(9i−12)
= (6+12)+i(8−9)
=18−i.
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What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
![What is the meaning of "[tex] \varphi (x,y)[/tex] be [tex] y\wedge \phi (x)[/tex] "?](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/qBCO5ypO9m13MpdV66LMvZB6FUp8SIQM.png)
Answers
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as divergent.
Answers
The integral\int(1/x^4 + 9x^2) dx converges by comparison to a convergent integral, and its value is 1/3
To determine whether the integral converges or diverges, we can use the limit comparison test with the integral:
Since for all x > 0, we have:
Thus, by the limit comparison test:
converges if and only if converges.
We can evaluate using the power rule of integration:
where C is the constant of integration. Evaluating this integral from 1 to infinity, we get:
∫(1/x^4) dx from 1 to infinity = lim as b → infinity
=>
=> 0 - (-1/3)
=> 1/3
Since the integral dx converges by comparison to a convergent integral, and its value is 1/3.
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Note: The full question is
Determine whether the integral converges or diverges; if it converges, evaluate. (If the quantity diverges, enter DIVERGES. Do not use the [infinity] symbol in your answer.) [infinity] dx x4 + 9x2 1
.24  divided by .240
Answers
The random variable X represents the number of calls per hour to a call center in the last month. The probability distribution for X is below. 1 2 4 5 6 7 P(x) 0.01 0.10 0.26 0.33 0.18 0.06 0.03 a. What is the missing value in the table? b. Find the mean. c. Find the variance and standard deviation. d. Interpret your results. B. In a quality control analysis, the random variable X represents the number of defective products per each batch of 100 products produced Defects (x) Batches 2 87 3 5 95 113 64 13 a. Use the frequency distribution above to construct a probability distribution? b. Find the mean. c. Find the variance and standard deviation.
Answers
a. The missing value in the table 0.03
b. The mean is 4.18
c. The variance is 3.23 and standard deviation is 1.80
d. The larger the standard deviation, the greater the spread of the probability distribution.
A random variable is a variable that can take on different values depending on the outcome of a random event. In this case, the random variable X represents the number of calls per hour to a call center in the last month.
a. The missing value in the table is the number of calls per hour for the probability 0.03. From the table, we see that the number of calls per hour is 7.
b. The mean, also known as the expected value, is a measure of the center of the probability distribution. It is calculated by taking the sum of the product of each possible value of X and its corresponding probability. In mathematical terms, the mean of X is given by:
E(X) = 1 * P(1) + 2 * P(2) + 4 * P(4) + 5 * P(5) + 6 * P(6) + 7 * P(7)
E(X) = 0.01 + 0.2 + 1.04 + 1.65 + 1.08 + 0.21 = 4.18
So, the mean number of calls per hour to the call center in the last month is 4.18.
c. The variance of X is a measure of the spread of the probability distribution. It is calculated by taking the sum of the squared differences between each possible value of X and the mean, multiplied by the corresponding probability. In mathematical terms, the variance of X is given by:
Var(X) = (1 - 4.18)² * P(1) + (2 - 4.18)² * P(2) + (4 - 4.18)² * P(4) + (5 - 4.18)² * P(5) + (6 - 4.18)² * P(6) + (7 - 4.18)² * P(7)
Var(X) = 3.23
The standard deviation is the square root of the variance, and it is also a measure of the spread of the probability distribution. In mathematical terms, the standard deviation of X is given by:
=> SD(X) = √(Var(X)) = √(3.23) = 1.80
d. Interpretation:
The mean of 4.18 calls per hour represents the average number of calls to the call center in the last month.
The standard deviation of 1.80 indicates that the number of calls per hour deviates from the mean by approximately 1.80 calls on average.
This means that about 68% of the time, the number of calls per hour will be between 2.38 (4.18 - 1.80) and 6.08 (4.18 + 1.80).
Complete Question:
The random variable X represents the number of calls per hour to a call center in the last month. The probability distribution for X is below.
x 1 2 4 5 6 7
P(x) 0.01 0.10 0.26 0.33 0.18 0.06 0.03
a. What is the missing value in the table?
b. Find the mean.
c. Find the variance and standard deviation.
d. Interpret your results.
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ASAP PLEASE—-Mackenzie placed 5 pieces in the puzzle for bc every 4 pieces her little brother placed. If Mackenzie’s little brother placed 20 pieces in the puzzle, how many pieces did the puzzle have altogether
Answers
Answer:
45 pieces.
Step-by-step explanation:
First, if the ratio is 5 : 4, then is you multiply 4 x 5 to get 20, you need to multiply 5 x 5 to get 25.
Second, 20 + 25 = 45 which is the total amount of puzzle pieces.
Hope this helps!
A bag contains 4 green marbles, 3 red marbles, and 7
blue marbles. One marble is taken from the bag and put
back after checking its color. A second marble is then
taken out. What is the probability that the first is blue
and the second red?
Answers
Answer:
3/28
Step-by-step explanation:
There are 14 marbles in the bag. So, the probability of choosing a blue marble is 7/14 or 1/2. Since the first marble is replaced, the bag still has 14 marbles in it. Then the probability of choosing a red marble is 3/14. The probability of choosing the blue, then the red is 1/2 x 3/14 = 3/28
5n+3n=40
Pls give me an answer and solution....
Answers
Answer:
3 times 5 = 15 and 5 times 5 = 25. 15 plus 25 = 40
Step-by-step explanation:
move all terms that don’t contain n to the right side and solve
4. Two card are down Randomly from well suffled deck of card without Replacement Find the probability by of getting both Face card at two succession tree diagram.
Answers
Answer:
\(\frac{11}{221}\approx{0.0498}\approx{4.98\%}\)
Step-by-step explanation:
Two cards are drawn randomly from a well-shuffled deck of cards without replacement. Find the probability of getting both face cards in succession.
In a deck of 52 cards, there are three face cards (J, Q, and K) in each of four suits (clubs, diamonds, hearts, and spades). That means there are 12 face cards in total (J♣, Q♣, K♣, J♦, Q♦, K♦, J♥, Q♥, K♥, J♠, Q♠, K♠).
The probability of drawing a face card the first time, then, is 12 out of 52.
There is now one less face card in the deck, as well as one less card in the deck. Therefore, the probability of drawing a face card a second time is 11 out of 51.
The probability, then, of drawing two face cards in succession is:
\(\frac{12}{52}\times{\frac{11}{51}}=\frac{132}{2652}=\frac{11}{221}\approx{0.0498}\approx{4.98\%}\)
Mai received and spent money in the following ways last month. For each example, write a signed number to represent the change in money from her perspective.
1. Her grandmother gave her $25 in a birthday card.
2. She earned $14 dollars babysitting.
3. She spent $10 on a ticket to the concert.
4. She donated $3 to a local charity.
5. She got $2 interest on money that was in her savings account.
Answers
The signed numbers that represent a change in money from her perspective is:
+$25
+$14
-$10
-$3
+$2
What are the signs to put in front of the amounts?When a person receives money, earns interst or his paid wages, the amount of money the person has increases. Thus, the sign to be used is the addition sign(+).
When a person pays for an item, donates to charity or loses money, the amount of money the person has reduces. Thus, the sign to be used is the subtraction sign (-).
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The beginning balance of the check register was $492.88. During the month, deposits were made for $210 and $499.88. Checks were
written for $18.25, $19.82, and $309.82. What is the ending balance of the check register?
Note: Round your answer to 2 decimal places.
Answers
Answer:
$840.77
Step-by-step explanation:
PLEASE ANSWER BOTH QUESTIONS!
Answers
The correct statement regarding the transformation is given as follows:
Dilation bu a scale factor of 0.5 about the origin. Then reflect over the x-axis.
The true statements about the dilation are given as follows:
Dilating a line segment can change the length.Dilating a polygon can change the area.What is a dilation?A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.
For this problem, the coordinates of the dilated line segment are half the coordinates of the original line segment, hence the scale factor is given as follows:
k = 0.5.
The y-coordinate then has the signal exchange, hence the figure is also reflected over the x-axis.
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Tom makes $195.40 in 4 days. How much does he make in 3 days?
Answers
Answer:
146.45
Step-by-step explanation:
to find the value of money he makes in one day you will :
195.40/4 = 48.85
to find the value he makes in three days we will multiply :
48.85 x 3 = 146.45
146.45
Explanation:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
4. Shawn has $50. Eric has $110. How much money must Shawn give to Eric so that the amount of money Eric has is 2 times more than what Shawn has?
Answers
Answer: 0.00
Step-by-step explanation:
50$x2=100
Eric has 110$
The on an investment doesn’t consider the effect of inflation on purchasing power. If the inflation rate is positive, the real return will be the nominal return on an investment.
Answers
The nominal return on an investment doesn’t consider the effect of inflation on purchasing power. If the inflation rate is positive, the real return will be less than the nominal return on an investment.
What is inflation?
In simple words continuing to rise in general price is regarded as inflation. There is a different kind of inflation, for example; The increase in price due to an increase in the aggregate of goods and services compared to aggregate supply is called demand-pull inflation.
If the inflation rate is positive, the actual return will be less than the nominal return on investment.
Therefore, In order to complete the statement, The nominal return on an investment doesn’t consider the effect of inflation on purchasing power. If the inflation rate is positive, the real return will be less than the nominal return on an investment.
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Answer:
The REAL RETURN on an investment considers the effect of inflation on purchasing power. If the inflation rate is positive, the nominal return will be
GREATER THAN the real return on an investment.
Step-by-step explanation:
- Functions F and A are defined by these equations below. Which function has a greater value when x is 2.5?
A. F(x) = 80-15x
B. A(x) = 25 + 10x
Answers
Answer:
The answer is D- A(x)=25+10x
Step-by-step explanation:
I cant really explain how i got the answer but i got it right
The function A(x) has greater value then F(x) for x = 2.5.
What is a function?A function is a relation between a independent variable and a dependent variable such that the value of dependent variable depends upon the independent one.
Given are two functions of [x] as follows -
F(x) = 80 - 15x
A(x) = 25 + 10x
We have the following functions -
F(x) = 80 - 15x
A(x) = 25 + 10x
Now, we will evaluate each function at x = 2.5.
F(2.5) = 80 - 15 x 2.5 = 42.5
and
A(2.5) = 25 + 10 x 2.5 = 50
It can be seen that A(2.5) > F(2.5)
So, the function A(x) has greater value then F(x) at x = 2.5
Therefore, the function A(x) has greater value then F(x) for x = 2.5.
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Janiya just turned 18 years old. She spent 4/9 of her life in NY. How many years did Janiya live in NY? *
Answers
Please Help Me ASAP.
Answers
Answer:
Parallel lines ALWAYS have the same slope
Step-by-step explanation:
The equations have unequal slopes, meaning they aren't parallel.
What is I need it fast 3/4x = -18
Answers
Answer:
x=-24
Step-by-step explanation:
i looked it up
Answer:
X = - 1
24
Step-by-step explanation:
Solution,
3/4x = -18
or, 3/4x = -18/1
or, 3*1 = 4x*(-18) [ cross multiplication ]
or, 3 = -72x
or, -72x = 3
or, x = 3/(-72)
or, x = - 1 [ Answer ]
24
Robert and Makayla are on the student council at their high school. They both
want to go to a dinner where student council representatives from other
schools will participate. However, only one student per school can go. How
can a fair decision be made about who goes to the dinner?
Select all that apply.
A. Ten cards have different numbers. Each student picks a card at
random. The student who picks the lower number wins.
B. Roll a number cube. If it lands on 1, 2, 3, or 4, Robert wins.
Otherwise, Makayla wins.
C. Give the students a math problem. The student who is first to
solve the problem wins.
D. Toss a coin twice. If both tosses are heads or both tosses are
tails, Makayla wins. If one is heads and one is tails, Robert wins.
Answers
Answer:
A and D
Step-by-step explanation:
It just is
The methods to make a fair decision is option A and D.
What is Probability?Probability is the measure of likeliness of an event to happen, each event is given a fair chance.
The methods to make fair decision can be:
Ten cards have different numbers. Each student picks a card at random. The student who picks the lower number wins. : Fair, as both will have equal chance of winning.
Roll a number cube. If it lands on 1, 2, 3, or 4, Robert wins. : Not fair, as Robert has more chances to win.
Give the students a math problem. The student who is first to solve the problem wins.: Not fair, as both the students can have different aptitude for maths.
Toss a coin twice. If both tosses are heads or both tosses are tails, Makayla wins. If one is heads and one is tails, Robert wins. : Fair, as both have equal chances to win.
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what is bigger -1/2 or -7/10
Answers
Answer:
-1/2
Step-by-step explanation:
-1/2 is -0.5
-7/10 is -0.7
-0.5 is closer to 0 which means it is greater than -0.7
Calculate nCr if n = 10 and r =4
Answers
The value of nCr when n = 10 and r= 4 is equal to 210.
According to the question,
We have the following information:
n = 10 and r = 4
We know that the following formula is used to find the value of nCr:
nCr = n!/r!*(n-r)!
nCr = 10!/4!*(10-4)!
nCr = 10!/4!6!
Now, we know that in order to solve this we have to expand the given terms by multiplying the numbers from the given number to back to 1.
So, we have the following expression:
(10*9*8*7*6*5*4*3*2*1)/(4*3*2*1*6*5*4*3*2*1)
The numbers 1, 2, 3, 4,5 and 6 in the numerator can be divided by the same numbers in the denominator:
10*9*8*7/4*3*2*1
5040/24
210
Hence, the value of nCr when n = 10 and r = 4 is 210.
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Finn,Rita,And Marcus have 4 honey nut bars to share equally? How many honey bars does each person get? Each person gets______bars?
HELP ME PLEASE,GUYS!
Answers
Answer:
4/3=1 1/3
Step-by-step explanation:
Andre wants to buy a new car. Gas is so expensive; Andre wants to purchase a
car that has the best gas millage rate.
•
Car 1 has gas mileage that can be described as y = 25x, where x is the
number of gallon of gas used and y is the total miles driven.
Car 2 has he gas mileage rate displayed in the table below.
Number of
Gallons of
Gas
2
5
7
8
11
60
150
210
240
330
Which car should Andre buy? How many more miles per gallon can he
drive in this car than the other car?
Answers
Answer: Andre should buy Car 2. Brainliest?
Step-by-step explanation:
To compare the gas mileage of the two cars, we need to find out how many miles each car can travel per gallon of gas.
For Car 1: y = 25x
This means that for every gallon of gas used (x), the car can travel 25 times that amount in miles (y). So, the gas mileage for Car 1 is 25 miles per gallon (mpg).
For Car 2: we can calculate the miles per gallon by dividing the total miles traveled by the number of gallons of gas used:
For 2 gallons of gas, the car can travel 60 miles. So, the gas mileage is 30 mpg (60 miles ÷ 2 gallons).
For 5 gallons of gas, the car can travel 150 miles. So, the gas mileage is 30 mpg (150 miles ÷ 5 gallons).
For 7 gallons of gas, the car can travel 210 miles. So, the gas mileage is 30 mpg (210 miles ÷ 7 gallons).
For 8 gallons of gas, the car can travel 240 miles. So, the gas mileage is 30 mpg (240 miles ÷ 8 gallons).
For 11 gallons of gas, the car can travel 330 miles. So, the gas mileage is 30 mpg (330 miles ÷ 11 gallons).
Therefore, Car 2 has a consistent gas mileage of 30 mpg.
From the above calculations, we can see that Car 2 has a better gas mileage compared to Car 1. Car 2 can travel 30 miles on a gallon of gas, while Car 1 can only travel 25 miles on a gallon of gas.
Therefore, Andre should buy Car 2 if he wants to get the best gas mileage. Car 2 can travel 5 more miles per gallon than Car 1.