Use the given data to find the minimum sample size required to estimate the population proportion. Margin of error: 0.04; confidence level: 99%; from a prior study, p is estimated by 0.12.
Answers
The value of the minimum sample size required to estimate the population proportion is 438.
What is the margin of error?Your results will vary from the actual population value by how many percentage points, as indicated by the margin of error. A 95% confidence interval with a 4% margin of error, for instance, indicates that your statistic will, 95% of the time, be within 4% of the true population figure.
Given:
The margin of error, ME = 0.04,
The value of p = 0.12,
The confidence level = 99%,
Calculate the minimum sample size as shown below,
ME = z √[p(1 - p) / n]
Calculate the value of z from the table attached below considering the confidence level, z = 2.576,
0.04 = 2.576 √[0.12(1 - 0.12) / n]
Squaring both sides,
0.0016 = 6.636 × 0.12 × 0.88 / n
n = 0.7 / 0.0016
n = 437.9 or 438
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Related Questions
The height corresponding to the longest side of the triangle whose sides are 42cm,
34cm and 20cm in length is ?
plz help me urgently
Answers
Answer:
sdufbjdfjkwjhevjhvdwhdvbj tsm thank you for the points
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Step-by-step explanation:
Answer:
ty for the points.
Step-by-step explanation:
Find the product of (3x + 4)(x - 1).
O 3x² + 7x-4
O3x² + 7x-3
O3x²-x-4
O3x²+x-4
Answers
Answer:
3x² + x - 4
Step-by-step explanation:
(3x + 4)(x - 1) =
= 3x² - 3x + 4x - 4
= 3x² + x - 4
The graphs below show the sales of touchless thermostats, y, for the first 8 months last year. Both graphs show the same information.
Touchless Thermostat
Touchless Thermostat
Sales ($)
80,000
60,000
40,000
20,000
0
Sales
2
4
6
Months since
Start of the Year
Graph A
8
Sales ($)
40,000
30,000
20,000
10,000
0
Sales
To emphasize the slow increase in sales, it would be best for Samantha to use
Samantha should use this graph for her presentation because the sales
2
4 6 8
Months since
Start of the Year
Graph B
Samantha is preparing a presentation and wants to emphasize that the sales increased slowly over the first 8 months last year.
Complete the following sentences.
for her presentation.
Y
on this graph.
Answers
To me, Benjamin should use graph A to show the decrease in temperature. It would be best for Benjamin to use this graph for his presentation because the temperature decrease in this graph
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
here, we have,
How to determine the appropriate graph?
The graphs that complete the question are added as an attachment
From the attached graph, we have the following highlights:
The data points on the y-axis of graph A are in an arithmetic sequence i.e. 30, 60, 90, 120....
The data points on the y-axis of graph B are not in an arithmetic sequence i.e. 60, 20, 40, 80....
The above means that graph B is a misleading graph
Hence, Benjamin should use graph A for his report
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If x = 3 solves the system shown below, what must be the value of "a"?
Answers
Answer:
a = 3
Step-by-step explanation:
The given equation, x = 3 represents the standard form of vertical lines with an undefined slope, x = a.
Vertical lines have an undefined slope because the points on the graph have no horizontal change. Thus, when you choose two points on the graph and solve for the slope using the slope formula, m = (y₂ - y₁)/(x₂ - x₁), the denominator will result in a difference of zero. Additionally, division by zero is an undefined operation.
Therefore, the value of "a" in the equation, x = 3, is 3.
what is 88,000 divided by 100
Answers
Answer:
880
Step-by-step explanation:
I hope this answer helps!
POLIGONOS: si tengo de informacion que 360 entre n es igual a 72 como puedo saber cual es el angulo interno la suma de angulos interno y el nombre del poligono?
Answers
El polígono regular tiene las características de un pentágono, cuya medida de ángulo central es 72° y la suma de todos los ángulos centrales es igual a 360°.
¿Qué polígono tiene un ángulo central de 72 grados?
En este problema debemos determinar que polígono regular tiene un ángulo central con medida de 72°, la suma de todos los ángulos centrales de un polígono es igual a 360°. El número de lados del polígono se puede determinar mediante la siguiente operación:
n = 360° / θ
Donde θ es la medida del ángulo central, en grados.
Si sabemos que θ = 72°, entonces el número de lados del polígono:
n = 360° / 72°
n = 5
El polígono regular es un pentágono.
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Finding the inverse of the cube of a bijective function. i About For a function f : R + R, we will define f-cube as f-cube(x) = (f(x))3 . (a) Prove that if f is a bijection, then f-cube is also a bijection. You can use the fact that for any two real numbers x and y, if x = y, then æ1/ well-defined real number. 1/3 = y1/3. Also for any real number x, x1/3 is a (b) For a bijection f, what is the inverse of f-cube? Justify your answer. Feedback?
Answers
if f is a bijection, then f-cube is also a bijection, and the inverse of f-cube is f^-1(y1/3). These results are important for understanding the properties of functions and their inverses.
Finding the inverse of the cube of a bijective function is an important step in understanding the properties of functions. To prove that f-cube is a bijection if f is a bijection, we can use the fact that for any two real numbers x and y, if x = y, then x1/3 = y1/3. This means that if f(x) = f(y), then (f(x))3 = (f(y))3, or f-cube(x) = f-cube(y). Since f is a bijection, this means that x = y, so f-cube is also a bijection.
To find the inverse of f-cube, we can use the fact that for any real number x, x1/3 is a well-defined real number. This means that if we have f-cube(x) = y, we can take the cube root of both sides to get f(x) = y1/3. Since f is a bijection, it has an inverse function f^-1, so we can apply this inverse to both sides to get x = f^-1(y1/3). This means that the inverse of f-cube is f^-1(y1/3).
In conclusion, if f is a bijection, then f-cube is also a bijection, and the inverse of f-cube is f^-1(y1/3). These results are important for understanding the properties of functions and their inverses.
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What are the y- and x- intercepts for the graph of the equation 3x - y = 2?
Answers
Answer:
I don't know how to find the x-intercept, but the y-intercept is (-2).
Step-by-step explanation:
I went by the formula: y-mx+c where m is the gradient, and c is the y-intercept.
3x - y = 2
3x = y + 2
3x - 2 = y
y = 3x - 2
As you can see, 3 is the gradient so and -2 is the y-intercept. Normally, we just try to make the equation into something that follows this format (y = something x with a constant variable)
Steel rods shrink 10% when cooled from furnace temperature to room temperature. If a tie rod is 80 in long at furnace temperature, how long is the cooled tie rod?
Answers
Given that the initial length of the rod is 80 inches.
And it shrinks 10% when cooled from the furnace.
Let the new length be x inches.
Then the length of the shrinked rod will be
\(\begin{gathered} x=[80-10\%\text{ of 80\rbrack inches} \\ x=[80-\frac{10}{100}\times80\text{ \rbrack inches} \\ x=[80-8]\text{ inches} \\ x=72\text{ inches} \end{gathered}\)Hence, the length of the shrinked rod will be 72 inches.
A ladder leans against a wall. The foot of the ladder is 8 feet from the wall, and the top of the ladder is pulled 1 foot away from the wall. How far will the top of the ladder slide down the wall? (HINT: Draw the coordinate axes and place the
ladder up against the y-axis.)
Answers
Using Pythagoras theorem, the top of the ladder will slide down the wall 1.64 ft
What length will the ladder slide down the wall?The ladder leaning against the wall forms a right-angled triangle of sides 8 ft and 6 ft.
The length of the ladder is y.
Using Pythagoras theorem:
\(y = \sqrt{8^{2} + 6^{2}} = 10 \:ft\)
When the ladder is pulled 1 foot away from the wall, the new height, h the ladder rises up the wall is given below:
\(h = \sqrt{10^{2} - 9^{2}} = 4.36 \:ft\)
The top of the ladder will slide 6 - 4.36 ft = 1.64 ft
In conclusion, the length the ladder will slide down is obtained using Pythagoras theorem.
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Melissa is planning a rectangular vegetable garden with a square patch for tomatoes. She wants the length of the garden to exceed three times the length of the tomato patch by 2 feet. She also wants the garden’s width to exceed the width of the tomato patch by 5 feet.
Let x represent the length, in feet, of the square tomato patch.
Answers
Answer:
If x is the length of the square tomato patch, then the width of the tomato patch is also x, since it is a square.
According to the problem, the length of the rectangular vegetable garden must exceed three times the length of the tomato patch by 2 feet, so the length of the garden is:
3x + 2
The width of the rectangular vegetable garden must exceed the width of the tomato patch by 5 feet, so the width of the garden is:
x + 5
To find the area of the garden, we multiply its length by its width:
Area of garden = length x width
Area of garden = (3x + 2)(x + 5)
To find the area of the tomato patch, we note that it is a square with side length x, so its area is:
Area of tomato patch = x²
Therefore, the area of the vegetable garden that is not taken up by the tomato patch is:
(3x + 2)(x + 5) - x²
And the total area of the vegetable garden, including the tomato patch, is:
x² + (3x + 2)(x + 5)
Simplifying:
x² + (3x² + 17x + 10)
4x² + 17x + 10
So the total area of the garden is 4x² + 17x + 10 square feet.
Just need the answers
Answers
For the given parallel lines in the respective figures, ∠ABC = 92 ° ,∠MPQ=120°, ∠MNP =56° , ∠WXZ = 130°
In All the given questions, there are two parallel lines and a transversal that is cutting them.
For the 7th figure, We have: 3x + 23 = 4x as they are corresponding angles.
So, 3x + 23 = 4x
3x - 4x = -23
-x = -23
x =23
Now ∠ABC = 4x = 4*23 = 92 degrees
For the 8th figure, We have, 5x = 3x +50 as they are corresponding angles.
So, 5x = 3x +50
5x - 3x = 50
2x = 50
x = 50/2
x = 25
Now,∠MPQ = 3x +50 = 3*25 + 50 = 75 +50 = 120 degrees.
For the 9th figure, we have :
a +28 = 2a as they are alternate interior angles.
So, a +28 = 2a
a = 28.
Now, ∠MNP = a +28 = 28+28 = 56 degrees
For the 10th figure, we have :
5y = 2y + 78 as they are alternate interior angles.
So, 5y = 2y +78
5y -2y = 78
3y = 78
y = 78/3 = 26
Now, ∠WXZ = 5y = 5*26 = 130 degrees.
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The July bank statement sent by the bank to ABC company shows a balance of cash on deposit at July 31 of Br.4,964.47 Assume that on July 31, assume the on July 31, ABCs ledger shows a bank balance of Br. 4 173. 83. 1. A deposit of Br 410. 90 made after banking hours and doesnt appear in the bank statement2. A check drawn for Br. 79 had been erroneously charged by the bank Br.973. For checks issued in July have not yet been paid by the bank (outstanding checks). : Theses checks are;- Check No date amount 801 June 15 ---Br.100,00 888 July 24 ----Br. 10.25 890 July 27--- Br. 294.50 891 July 30 ---Br. 205.004. A check written for birr 210 had been incorrectly charged by the bank as birr 120 5. Proceeds from collection of a interest bearing note receivable from David. ABC Company had left this note with the banks collection department. The face amount of the note was birr 500 6. Br. 24.75 interest earned on average account balance during July7. A check for Br. 10 returned with the statement had been recorded in the check register as Br. 100. The check was for the payment of an obligation to Davis Equipment Company for the purchase of office supplies on account 8. Br. 5,00 fee charged by bank for handling collection of note receivable 9. Br. 50.25 check from customer John deposited by ABC company charged bank as Non sufficient fund (NSF) 10. Br. 12.70 service charged by bank for the month of July. 11. Check number 875 was issued July 20 in the amount of Br 85 but was erroneously recorded in the cash payment Journal as Br 58 for payment of telephone expense prepare bank reconcilation and journal entry?
Answers
After making all the necessary adjustments, the reconciled bank balance for ABC Company's ledger at the end of July is Br. 4,164.42.
To reconcile the bank statement balance with the company's ledger balance for ABC Company, we need to go through the provided information step by step and make the necessary adjustments. Let's calculate the adjusted bank balance:
Starting with the bank statement balance: Br. 4,964.47
Add the deposit made after banking hours: + Br. 410.90
New bank balance: Br. 5,375.37
Now let's make adjustments for the outstanding checks and other transactions:
Deduct the erroneously charged check: - Br. 973
New bank balance: Br. 4,402.37
Deduct the outstanding checks:
Check No. 801: Br. 100.00
Check No. 888: Br. 10.25
Check No. 890: Br. 294.50
Check No. 891: Br. 205.00
Total deduction: Br. 609.75
New bank balance: Br. 3,792.62
Correct the incorrectly charged check: + Br. 90
New bank balance: Br. 3,882.62
Add the proceeds from the collection of the interest-bearing note: + Br. 500.00
New bank balance: Br. 4,382.62
Add the interest earned on the average account balance: + Br. 24.75
New bank balance: Br. 4,407.37
Deduct the incorrectly recorded check: - Br. 90
New bank balance: Br. 4,317.37
Deduct the fee charged for handling the collection of the note: - Br. 5.00
New bank balance: Br. 4,312.37
Deduct the check returned due to insufficient funds: - Br. 50.25
New bank balance: Br. 4,262.12
Deduct the service charge for the month of July: - Br. 12.70
New bank balance: Br. 4,249.42
Deduct the erroneously recorded check: - Br. 85.00
New bank balance: Br. 4,164.42
Now, we compare the adjusted bank balance (Br. 4,164.42) with the ledger balance provided (Br. 4,173.83).
Adjusted bank balance: Br. 4,164.42
Ledger balance: Br. 4,173.83
The difference between the adjusted bank balance and the ledger balance is Br. 9.41. This difference is likely due to some unrecorded transactions or errors in recording. To reconcile the balances fully, further investigation is required to identify the specific cause of the discrepancy and make the necessary adjustments in the company's ledger.
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I need help with this question
Answers
Using word problems and equations, Sarah worked for 10 hours and Penelope worked for 5 hours
What is the number of hours Sarah and Penelope worked?This is a word problem and in order to solve this, we need to translate mathematical statements in form of word problems into mathematical equations.
Let's assume that Sarah worked x hours.
Given that Sarah can iron 30 shirts per hour, the total number of shirts she ironed is 30x.
Since Penelope worked half the hours of Sarah, Penelope worked x/2 hours.
Given that Penelope can iron 35 shirts per hour, the total number of shirts she ironed is 35 * (x/2) = (35/2)x.
The total number of shirts ironed by both Sarah and Penelope is 475 shirts.
So, we can write the equation: 30x + (35/2)x = 475.
To solve this equation, we can simplify it: (60/2)x + (35/2)x = 475, which becomes (95/2)x = 475.
Now, we can solve for x: x = (475 * 2) / 95 = 10.
Therefore, Sarah worked 10 hours and Penelope worked half of that, which is 5 hours.
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list 0.43, 5, 6 and 4.7 from least to greatest
Answers
Answer:
0.43, 4.7, 5, 6
Step-by-step explanation:
\(0.43<4.7<5<6\)
URGENt! PLS HELP. DONT USE LINKS OR JOKE. SEND REAL ANSWER. ITS VOLUME.
Answers
Answer:
334
Step-by-step explanation:
Carla earns $564 for 30 hours of work. Which represents the unit rate?
a) $30 per hour
b) $168 per hour
c) $18.80 per hour
d) $5.30 per hour
Answers
If the ratio of similarity between two similar polygons is 4:3.2, this ratio converts to
1:8.
8:1.
4:5.
5:4.
Answers
Answer:
5 : 4
Step-by-step explanation:
4: 3.2
Multiply by 10 to get rid of the decimal
4*10 : 3.2* 10
40 : 32
Divide each side by 8 to simplify
40/8 : 32/ 8
5 : 4
Suppose that the lifetimes of a certain kind of light bulb are normally distributed with a standard deviation of 110 hours. If exactly 90% of the bulbs die before 930 hours, find the mean lifetime of the bulbs. Carry your intermediate computations to at least four decimal places.
Answers
Answer:
sorry bro
Step-by-step explanation:
i really need the points
A newspaper article reported the results of a study comparing the proportions experiencing pain
relief using a new medication compared to using a placebo. The study showed that the proportion
experiencing pain relief was higher for the new medication (p1) when compared to the placebo
(p2). The researcher is quoted as saying that there was less than a 1 in 100 probability that the
observed differences in proportions was due to chance. The null hypothesis for this study is:
Answers
Answer:
there is no question here so how can i give you an answer?
Step-by-step explanation:
One shirt at H&M cost $7. what is the cost of 40 shirts
Answers
Answer:
$280
Step-by-step explanation:
7•40=$280
while at a bakery, lester decides to purchase some cupcakes and vrownies to shaee with his friends. He can spend up to $18, and the bakery charges $2 for a cupcake and $1 for a brownie. To ensure thaf he has enough food, Lester wants to buy at least 7 cupcakes and brownies. What system of inequalities describes the situation? x is number of cupcakes and y is brownies
Answers
Answer:
X=7
Y=4
Step-by-step explanation:
Is is possible to divide Pi aka : 3.14159
Answers
Answer:
If you WANT to divide pi, there is half a pi left.
Step-by-step explanation:
There are 2pi radians in a circle. So one quarter of the circle corresponds to half of pi (If you want to divide to get half of pi) . So it would then be: one quarter corresponds to a half.
(if that makes sense! sorry if it doesn't :\ )
The two-way table given shows the results from a survey of pet owners. Owns a Cat Owns a Dog Does Not Own a Dog Total Total 81 Does Not Own a Cat 54 135 39 21 60 O There is a weak, negative association. O There is a weak, positive association. Does the data show an association between owning a dog and owning a cat? O There is a strong, negative association. 120 There is a strong, positive association. 75 195
Answers
The data showing the association between owning a dog and a cat shows that There is a weak, positive association.
Why is this a positive association?Two variables have a positive association when they both increase or decrease together.
The data shows that those who own a cat and a dog are 81 out of the total 195 who were surveyed. This shows that the chances of owning a cat and a dog are higher than the chances of owning either a cat and a dog alone.
In terms of an association, this shows that there is a positive association between owning both cats and dogs, but that this is a weak association because it is less than 50%:
= 81 / 195
= 42%
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. A right circular cone has a volume of 1627 cubic inches. If the height is 6 inches, determine the length of
he radius and diameter of the base of the cone.
Answers
The length of the diameter of the base of the cone is approximately 32.92 inches.
To determine the length of the radius and diameter of the base of the cone, we need to use the formula for the volume of a cone:
Volume = (1/3) * π *\(r^2\) * h
Given that the volume is 1627 cubic inches and the height is 6 inches, we can substitute these values into the formula and solve for the radius (r).
1627 = (1/3) * π *\(r^ 2\) * 6
To isolate the radius, we can rearrange the equation:
\(r^2\) = (1627 * 3) / (π * 6)
\(r^2\) = 271.17
r ≈ √(271.17)
r ≈ 16.46
Therefore, the length of the radius of the base of the cone is approximately 16.46 inches.
To find the diameter, we multiply the radius by 2:
d = 2 * r
d ≈ 2 * 16.46
d ≈ 32.92
Therefore, the length of the diameter of the base of the cone is approximately 32.92 inches.
In summary, the length of the radius of the base of the cone is approximately 16.46 inches, and the length of the diameter is approximately 32.92 inches.
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26 less than twice a number is 4. Find each number
Answers
Answer:
15
Step-by-step explanation:
Let's call the number we try to find "\(x\)"
In the problem, we know that "26 is less than twice a number" is the same as "4". So we can write this as an equation:
\(2x - 26 = 4\)
Now we can solve for x by isolating it on one side of the equation.
First, we isolate "2x" by flipping "-26" to the other side, which will now be "26".
\(2x = 4 + 26\)
Then we add
\(2x = 30\)
finally, we isolate the x by dividing each side with 2
2x ÷ 2 = 30 ÷ 2
x = 15
4. In a raffle, two names of contestants are drawn one at a time. The first person drawn wins a prize of $500 and the second person drawn wins a prize of $100. Contestants can enter their names into the contest only once, and a total of 400 people have entered. After the winner of the first prize is chosen, what is the probability of winning the second prize?
Answers
Answer:
The probability of winning the second prize after the first prize has been awarded is 398/399, or approximately 0.9975.
Step-by-step explanation:
After the first person is drawn, there are 399 people left in the raffle, including the person who won the first prize. So the probability of any one person winning the second prize is 1 out of 399.
However, the question is asking for the probability of the second prize being won by the person who did not win the first prize. Since there are two possible people who could win the first prize, we need to calculate the probability of the second prize being won by the person who did not win the first prize for each of these two cases and then add them together.
Case 1: The first prize is won by person A. Then there are 399 people left, including person A, and 398 of them did not win the first prize. So the probability of person B (who did not win the first prize) winning the second prize in this case is 398/399.
Case 2: The first prize is won by person B. Then there are 399 people left, including person B, and 398 of them did not win the first prize. So the probability of person A (who did not win the first prize) winning the second prize in this case is also 398/399.
Therefore, the total probability of the second prize being won by the person who did not win the first prize is:
(1/2) x (398/399) + (1/2) x (398/399) = 398/399
So the probability of winning the second prize after the first prize has been awarded is 398/399, or approximately 0.9975.
The probability of winning the second prize after the first prize winner is chosen is 0.00250627, or 0.25%.
We have,
After the winner of the first prize is chosen, there are 399 remaining contestants eligible for the second prize.
The probability of winning the second prize depends on the specific individual selected.
Probability of winning the second prize
= 1/399
= 0.00250627
Therefore,
The probability of winning the second prize after the first prize winner is chosen is 0.00250627, or 0.25%.
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Lisa selects a marble from a jar containing 6 red marbles and 2 green marbles and does not replace it. She then selects a second marble. What is the probability that both marbles will be red?
Answers
Answer:
15/28 = 53.57%
Step-by-step explanation:
E 1 = select a red marble
E2 = select a red marble
E 1 ∩ E2
6/8 x 5/7
3/4 x 5/7 = 15/28 = 53,57%
HELPPPPPPP PLZ‼️‼️A_____ is a result that has been proven.
Answers
accurate is the answer
Seven years ago, Grogg's dad was 6 times as old as Grogg, and 3 years ago, his dad was 4 times as old as Grogg. How old is Grogg's dad currently?
Answers
Answer:
Grogg's dad is 22
Step-by-step explanation:
Let D = dad's current age
Let g = Grogg's current age
6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g
4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g
Set the two equations equal to each other and solve for d
6d - 35 = 4d - 9 Subtract 4d from both sides
2d -35 = -9 Add 35 to both sides
2d = 44 Divide both sides by 2
d = 22
Helping in the name of Jesus.
Answer:
Step-by-step explanation:
d = current dad age
g = current grogg age
d-7 = 6(g-7)
d-3 = 4(g-3)
Let's solve the first equation first:
Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35
Substitude d = 6g - 35 for d in d - 3 = 4g - 12
(6g-35)-3 = 4g-12 = 6g-38 = 4g-12
Subtract 4g from both sides: 2g - 38 = -12
Add 38 to both sides: 2g = 26
Easy: g = 13
And now substitude g in for any equations.
d-3 = 52-12
d = 43