On Comparing the results of (a) and (b), we can see that the sample size needed for part (a) is larger than the sample size needed for part (b), so as the acceptable sampling error, e, increases, the sample size needed decreases. The correct answer is Option A.
To conduct a follow-up study that would provide 90% confidence that the point estimate is correct to within + 0.04 of the population proportion, we can use the formula:
(a) n = (Z^2 * p * (1-p)) / E^2
where n is the sample size, Z is the z-score for a 90% confidence level (1.645), p is the population proportion (0.26), and E is the margin of error (0.04).
n = (1.645^2 * 0.26 * (1-0.26)) / 0.04^2
n = 324.52
Round up to the nearest integer, so n = 325 consumers.
(b) To conduct a follow-up study that would provide 90% confidence that the point estimate is correct to within +0.07 of the population proportion, use the same formula with E = 0.07:
n = (1.645^2 * 0.26 * (1-0.26)) / 0.07^2
n = 131.79
Round up to the nearest integer, so n = 132 consumers.
(c) Comparing the results of (a) and (b), we can see that the sample size needed for part (a) is larger than the sample size needed for part (b), so as the acceptable sampling error, e, increases, the sample size needed decreases. The correct answer is Option A.
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Write the equation of the exponential equation with an asymptote of y=12 that passes through the points (3,332) and (5,5132).
The equation of the exponential equation with an asymptote of y=12 that passes through the points (3,332) and (5,5132). y = -28.295(b^x) + 12.
An exponential function with an asymptote of y = 12 has the general form y = a(b^x) + 12
where a is a non-zero constant and b is a positive constant.
To find the specific exponential function that passes through the given points, we need to solve for a and b.
Using the point (3,332), we have:
332 = a(b^3) + 12
Using the point (5,5132), we have:
5132 = a(b^5) + 12
We now have two equations with two unknowns. We can solve for a by subtracting the second equation from the first equation:
-4800 = a(b^3 - b^5)
We can then solve for b^2 by dividing both sides by a and factoring out b^2:
b^2 = (b^3 - b^5) / (-4800a)
Since b is positive, we can take the square root of both sides:
b = sqrt((b^3 - b^5) / (-4800a))
We can then substitute this expression for b into one of the original equations to solve for a. Using the first equation, we have:
332 = a(b^3) + 12
332 = a(sqrt((b^3 - b^5) / (-4800a))^3) + 12
332 = a(b^3 - b^5)^(3/2) / (-4800a) + 12
Multiplying both sides by (-4800a) and simplifying, we get:
-1593600 = a(b^3 - b^5)^(3/2) + (-4800a)(12)
-1593600 = a(b^3 - b^5)^(3/2) - 57600a
-27.67 = (b^3 - b^5)^(3/2) - 0.036a
We can now solve for a:
a = (b^3 - b^5)^(3/2) / (-27.67 + 0.036b^2)
Substituting this expression for a back into the equation for b^2, we have:
b^2 = (b^3 - b^5) / (-4800a)
b^2 = (b^3 - b^5) / (-4800[(b^3 - b^5)^(3/2) / (-27.67 + 0.036b^2)])
Simplifying, we get:
b^2 = sqrt((27.67 - 0.036b^2) / 4800)
Squaring both sides, we have:
b^4 = (27.67 - 0.036b^2) / 4800
Multiplying both sides by 4800 and rearranging, we get:
0.036b^6 + 4800b^4 - 27.67 = 0
This is a sixth-degree polynomial in b^2, which can be solved numerically using a calculator or software. We find that there are three real solutions, one of which is negative and two of which are positive. We choose the positive solution that gives the correct y-values for both given points:
b ≈ 1.3825
We can then substitute this value for b and the value we found for a into the general form of the exponential equation to get the specific equation that passes through the given points:
y = -28.295(b^x) + 12.
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please HELP HELP URGENT PLS HELP
Answer:
Step-by-step explanation:
LMO and KJH
also the city of ember is such a good book :)
Temoso sells T-shirt at a market and earns 15% commission on each T-shirt he sells. How many T-shirts must be sell to make R360 if the cost of each T-shirt is R120
If each T-shirt costs Rs. 120 and Temoso receives a 15% commission, he needs to sell 20 of them in order to make Rs. 360.
Let's first find out how much commission Temoso earns on each T-shirt he sells. The cost of each T-shirt is Rs. 120, and Temoso earns a 15% commission on each T-shirt. This means that he earns 0.15 × 120 = Rs. 18 on each T-shirt he sells.
Now, let's find out how many T-shirts Temoso must sell to earn Rs. 360.
We can set up the following equation:
18x = 360
where x is the number of T-shirts that Temoso needs to sell.
Dividing both sides by 18, we get:
x = 20
Therefore, Temoso needs to sell 20 T-shirts to earn Rs. 360, assuming the cost of each T-shirt is Rs. 120 and he earns a 15% commission on each T-shirt he sells.
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Point L is on line segment KM. Given LM = 15 and KM =
15 and KM = 20, determine the
length KL.
The length of the line segment KL is 5 units.
In this question we have been given a point L which lie on the line segment KM.
Also, we have been given the measure of segment LM = 15 and the measure of segment KM = 20
We need to find the length of the line segment KL.
As point L is on the line segment KM.
We get an expression, KM = KL + LM
Now we substitute values in above equation, to find the value of KL.
⇒ 20 = KL + 15
⇒ 20 - 15 = KL + 15 - 15
⇒ 5 = KL
⇒ KL = 5
Therefore, the length of the line segment KL is 5 units.
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Which is the best option?
What is the value of this expression 22 3.0 is 1 point?
The value of 22 % 3 will be 1.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 22 % 3
Now,
Since, The expression is,
⇒ 22 % 3
Here, '%' is the modulus operator which gives the value of remainder.
Hence, We get;
⇒ 22 % 3 gives the remainder after divide = 1
Thus, We get;
⇒ 22 % 3 = 1
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1. A relation contains the ordered pairs shown. One of the ordered pairs is missing an x-coordinate. {(-1,4),(0,4),(2,5),(3,-6),(?,7)} What could be the missing x-coordinate if the relation is not a function?
Answer:
There are 4 possible scenarios where given relation could not be a function:
i) \((-1, 4), (0,4), (2,5), (3,-6), (-1, 7)\)
ii) \((-1, 4), (0,4), (2,5), (3,-6), (0, 7)\)
iii) \((-1, 4), (0,4), (2,5), (3,-6), (2, 7)\)
iv) \((-1, 4), (0,4), (2,5), (3,-6), (3, 7)\)
Step-by-step explanation:
From Function Theory, we remember that a relation is not a function when at least one element from domain (x-coordinate) is related to one or more elements from range (y-coordinate). Hence, there are four possibilities of making the relation not a function:
i) \((-1, 4), (0,4), (2,5), (3,-6), (-1, 7)\)
ii) \((-1, 4), (0,4), (2,5), (3,-6), (0, 7)\)
iii) \((-1, 4), (0,4), (2,5), (3,-6), (2, 7)\)
iv) \((-1, 4), (0,4), (2,5), (3,-6), (3, 7)\)
135cm into two pieces first piece is twice as big as the second price
Answer:
i think you need to divide 135 with 3 and then multiply the answer two times you should get 90 cuz it 45 multiply 2
Step-by-step explanation:
hopefully i'm right
Write a short definition of "photosynthesis"
Answer:
Photosynthesis, the process by which green plants and certain other organisms transform light energy into chemical energy. During photosynthesis in green plants, light energy is captured and used to convert water, carbon dioxide, and minerals into oxygen and energy-rich organic compounds.
Step-by-step explanation:
I hope this helps if it does can i get brainlist
photosynthesis is a process that occurs in plants. it is used to convert sunlight into sugar for the plant in order to create chemical energy. this energy is used to help the plant make glucose ! hope this helped ♡
A tortoise and a hare run in the NYC marathon (26.2 miles). The hare crosses the finish line first in a time of 4 hours and 30 minutes. How fast did the hare run?
The hare ran 5.8 mph to win the race.
What is Speed?Speed is a scalar quantity that refers to "how fast an object is moving." Speed can be thought of as the rate at which an object covers distance.
Given that, a tortoise and a hare run in the NYC marathon for 26.2 miles, the hare crosses the finish line first in a time of 4.5 hours.
Speed = distance/time
Speed of hare = 26.2/4.5 = 5.8 mph
Hence, The hare ran 5.8 mph to win the race.
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Please help me find out this question. You probably won't answer it and I needed very high level mathematicians to answer this very difficult question. What da dog doin?
Answer:
im sorry
Step-by-step explanation:
da dog doin ur mom
Answer:
according to my calculations, no human has ever figured out what da dog doin. many have tried and failed, we are now finding various ways to test this, with many complications of course. i shall keep you informed while we find the answer to this difficult question.
Step-by-step explanation:
PFFT i tried so hard to make this sound professional
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and
last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch
1. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show
2. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sente
3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use comples
4. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a
5. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for
sentences, explain how the graphs of the functions for the two months are similar and how they are different.
02.03 Key Features of Linear Functions-Option 1 Rubric
Requirements
Student changes equation to slope-intercept form. Student shows all work and identifies the slope and y-intercept of the
Student writes a description, which is clear, precise, and correct, of how to graph the line using the slope-intercept meth
Student changes equation to function notation. Student explains clearly what the graph of the equation represents.
Student graphs the equation and labels the intercepts correctly.
Student writes at least three sentences explaining how the graphs of the two equations are the same and how they are different.
1. The equation to slope-intercept form is y = -2/3(x) + 490. The slope is -2/3 and the y-intercept is 490.
2. You should start at the y-intercept (0, 490) and move right by 3 units and downward by 2 units, and then connect the points.
3. The equation in function notation is f(x) = -2/3(x) + 490. The graph of the function is the rate of change with respect to the number of sandwich lunch sold.
4. A graph of the function with intercepts is shown below.
5. The graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.
How to change the equation to slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.Based on the information provided above, a linear equation that models Sal's Sandwich Shop's profit is given by;
2x + 3y = 1,470
By subtracting 2x from both sides of the equation and dividing by 3, we have:
2x + 3y - 2x = 1,470 - 2x
y = -2/3(x) + 490
Therefore, the slope is -2/3 and the y-intercept is 490.
Part 2.
In order to graph the equation by using the slope-intercept method, you would start at the y-intercept (0, 490) and move right by 3 units and down by 2 units, and then connect the points.
Part 3.
Next, we would write the equation in function notation as follows;
f(x) = -2/3(x) + 490
where:
f(x) represents the number of wrap lunch sold.x is the number of sandwich lunch sold.The graph represents the rate of change of the function with respect to the number of sandwich lunch sold.
Part 4.
In this context, we would use an online graphing calculator to plot the linear function as shown in the image attached below.
Part 5.
Assuming Sal's total profit on lunch specials for the next month is $1,593 and the profit amounts remain the same, a system of equations to model this situation is given by:
2x + 3y = 1593; y = -2/3(x) + 531.
2x + 3y = 1,470; y = -2/3(x) + 490.
In conclusion, we can logically deduce that the graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.
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Complete Question:
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
The ratio of boys to girls in a group is 5:1. If there are 60 more boys than girls, work out how many people there are in total.
Answer:
The number of boys: a
The number of girls: b
=> a/b = 5
a - b = 60
=> (b + 60)/b = 5
=> b + 60 = 5b
=> 4b = 60 => b = 15 => a = 5 x 15 = 75
=> Total people:
T = a + b = 15 + 75 = 90
Hope this helps!
:)
a restaurant meal cost $90 and there was a 6% meals tax on the price of the meal hey a)how much was the mail tax b) what was the total price of the meal with a meal tax
A restaurant meal cost $90 and there was a 6% meals tax on the price of the meal. The meal tax was $5.40 and the total price of the meal with the meal tax was $95.40.
Find the meal tax, you need to calculate 6% of the $90 meal cost.
Convert the percentage to a decimal by dividing by 100, so 6% = 0.06.
Multiply the meal cost by the decimal. In this case, $90 × 0.06 = $5.40.
So, the meal tax was $5.40.
Find the total price of the meal with the meal tax, you need to add the meal tax to the original cost of the meal.
Add the meal tax to the original cost, so $90 + $5.40 = $95.40.
The total price of the meal with the meal tax was $95.40.
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Help meeeeeeeee I need is assp
Answer:
D
Step-by-step explanation:
the square root of 16 would be 4 and -4 because 4×4 is 16 and -4×-4 is 16
I think
what is the slope of a line that is parallel to the line y=3/4×+22?
no links
Hello there!
Parallel lines have the same slope. So if one line has a slope of 3/4, then the line parallel to it has a slope of 3/4 as well.
Hope that helps you!
\(SparklingFlower (:\)
Convert the equation f(t)=210(1.31)^t to the form f(t)=ae^kt. Write your answer using function notation. Round all values to three decimal places
The equation f(t) = 210(1.31)^t can be written in the form f(t) = ae^(kt), where a = 210 and k ≈ 0.265 (rounded to three decimal places).
To convert the equation f(t) = 210(1.31)^t to the form f(t) = ae^kt, we need to rewrite it in terms of the base e instead of the base 1.31.
Now, let's break down the computation into steps:
Step 1: Rewrite the equation using the natural base e
The equation f(t) = 210(1.31)^t can be rewritten using the natural base e by applying the logarithmic property:
f(t) = 210(e^(ln(1.31))^t.
Step 2: Simplify the equation
Since ln(1.31) is a constant value, we can simplify the equation further:
f(t) = 210(e^(kt)).
Here, k = ln(1.31).
Therefore, the equation f(t) = 210(1.31)^t can be written in the form f(t) = ae^(kt), where a = 210 and k ≈ 0.265 (rounded to three decimal places).
By following these steps, you can convert the given equation to the form f(t) = ae^(kt), where a and k are the corresponding values determined from the original equation.
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6g = 192 pls help- ahgsdvjha
Answer:
32
Step-by-step explanation:
just divide 192 by 6 and you get 32
PLEASE HELP!
Line R is represented by the following equation: x + y = 2
Which equation completes the system that is satisfied by the solution (1, 1)?
2x + y = 2
4x − 2y = 2
2x − 2y = 2
x + y = 4
Answer:
4x - 2y = 2
Step-by-step explanation:
Given that (1, 1 ) is a solution then it must satisfy the equation
Consider the equations given
2x + y = 2 → 2(1) + 1 = 2 + 1 = 3 ≠ 2 ← not True
4x - 2y = 2 → 4(1) - 2(1) = 4 - 2 = 2 ← True
2x - 2y = 2 → 2(1) - 2(1) = 2 - 2 = 0 ≠ 2 ← not True
x + y = 4 → 1 + 1 = 2 ≠ 4 ← not True
Thus
4x - 2y = 2 completes the system.
in total there are 2022 kangaroos and some koalas living within seven parks. as many kangaroos live in each park as there are koalas in all other parks together. how many koalas in total live in the seven parks?
2022/(x-1) koalas in total live in the seven parks.
Let the number of parks be x.
According to the question, there are a total of 2022 kangaroos and some koalas living within seven parks.
Therefore, total number of kangaroos = 2022
Let the number of koalas in each park be y.
Number of koalas in each of the x-1 parks, other than the one with kangaroos = y
Number of koalas in the park with kangaroos = 2022/(x)
According to the question, there are as many kangaroos in each park as there are koalas in all other parks together.
So,Number of koalas in the park with kangaroos = y(x-1)2022/(x) = y(x-1)
Therefore, number of koalas in each of the x-1 parks = y = 2022/(x(x-1))
Total number of koalas living in seven parks = y
x= (2022/(x(x-1)))
x= 2022/(x-1)
Thus, the number of koalas in total live in the seven parks is 2022/(x-1).
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what is the exact value of 112-25425×34
Answer -864338
Step-by-step explanation:
i used this app photo math it does all the work for you and gives you a step by step on explaining the math problem
Answer:
\( - 864338\)
Step-by-step explanation:
\(112 - 25425 \times 34\)
\(112 - 864450\)
\( = - 864338\)
in the diagram, which segments are chords?
In the picture, the line that is a chord is line AB
What is a chord?A chord is a line that connects two points of a circle but does not extend beyond the outside of the circle.
Also, A chord in mathematics is a straight line segment that joins two points on a curve, such as a circle or an ellipse. A chord of a circle is a straight line segment whose endpoints both lie on a circular arc. If a chord were to be extended infinitely on both directions into a line, the object is a secant line
Therefore, the answer is D.
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PLZZZ HELP
ILL MARK BRAINLIEST
Answer:
y=-4x/5-3
Step-by-step explanation:
A ball is thrown into the air with an initial velocity of 64 feet per second from a height of 336 feet. After how many seconds will the ball return to the ground and have a height of zero again
Answer:
7 seconds
Step-by-step explanation:
Ballistic motion is usually modeled in the vertical direction in US customary units by the equation h(t) = -16t^2 +v0·t +h0, where v0 and h0 are the initial velocity and height, and h(t) is the height as a function of time in seconds. For the given initial conditions, the equation of vertical motion will be ...
h(t) = -16t^2 +64t +336
__
This question asks you for the value of t for which h(t) = 0. We can solve that equation by factoring.
0 = -16t^2 +64t +336
0 = t^2 -4t -21 . . . . . . . . divide by -16
0 = (t -7)(t +3) . . . . . . . factor the quadratic
t = 7 . . . . . . the positive value of t that makes the equation true
The ball will return to the ground after 7 seconds.
__
Additional comment
A graph of the function reveals the ball reaches a maximum height of 400 feet after 2 seconds.
In metric units, the equation is h(t) = -4.9t^2 +v0·t +h0, where distances are in meters instead of feet. Time is still in seconds.
Landon analyzed data and found that the correlation coefficient for their line of best fit was -0.85. Marco analyzed a different set of data and found a correlation coefficient of 0.85. Marco states that since 0.85 is greater than -0.85, his data points have a better line of best fit than Landon. Is Marco correct? Why, or why not?
Marco's data points have a better line of best fit based on a comparison of Correlation coefficients.
Marco is incorrect in stating that his data points have a better line of best fit than Landon based solely on the comparison of correlation coefficients. The magnitude of the correlation coefficient alone does not determine the quality or strength of the line of best fit.
The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1. A positive correlation coefficient (such as 0.85) indicates a positive linear relationship, while a negative correlation coefficient (such as -0.85) indicates a negative linear relationship. The closer the correlation coefficient is to -1 or +1, the stronger the relationship. A correlation coefficient of 0 indicates no linear relationship.
In the case of Landon and Marco, both correlation coefficients have the same absolute value of 0.85, suggesting a strong linear relationship. However, the negative sign for Landon's correlation coefficient indicates a negative linear relationship, while the positive sign for Marco's correlation coefficient indicates a positive linear relationship.
The comparison between -0.85 and 0.85 should not be made in terms of greater or lesser quality of the line of best fit. The choice of a positive or negative correlation depends on the context and nature of the variables being analyzed.
The appropriateness of the line of best fit and the goodness-of-fit of the model should be evaluated based on additional factors such as the data points' distribution around the line, residuals, and the overall context of the analysis. These aspects provide more comprehensive insights into the quality of the fit and the reliability of the relationship being represented.
Therefore, Marco's data points have a better line of best fit solely based on a comparison of correlation coefficients. The interpretation of the correlation coefficient requires considering the nature of the variables and other factors influencing the analysis.
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Don recently received his first credit card, a MasterCard with a credit line of $500. In the first month he had it, he ran up charges of $425. How much of that must he pay if he wants to charge a discount airline ticket, which costs $200, on his card without going over his credit limit
The amount Don must pay on his card without going over the credit limit is $125.
How much must Don pay?
Don's credit limit is $500. If Don does not want to go over the limit, he must not exceed the $500 limit. In order to determine the amount he should pay, add the sum of the charges and subtract it from the credit limit.
Amount to be paid = (425 + 200) - 500 = $125
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Why do I have to do 2+2
Answer:
this the maths basic concepts of mathematics so, thats why we do 2+2
=4
Step-by-step explanation:
mark me as a brainlist plz.
___________
\( \: \)
2 + 2 = ...
= 2 × 2
= 2² = 4
Suppose that a photocopy machine can reduce copies to 65 percent of their original size. By copying an already reduced copy, further reductions can be made. 1. If a page is reduced to 65 percent, what percent enlargement is needed to return it to its original size? 2. Estimate the number of times in succession that a page must be copied to make the final copy less than 15 percent of the size of the original.
The sequence 200, 40, 8, ... is a geometric sequence. Let's define the geometric sequence before we explain why the above sequence is geometric. In a geometric sequence, each term is multiplied by the same common ratio to obtain the next term.
A geometric sequence can be represented by the formula a, ar, ar^2, ar^3, ... , where a is the first term, r is the common ratio, and ar, ar^2, ar^3, ... are the successive terms. The common ratio can be calculated using any two consecutive terms in the sequence.To determine if a sequence is geometric or not, we need to check whether the ratio of successive terms is the same. In the given sequence, 200 is the first term, 40 is the second term, and 8 is the third term.
So, the common ratio is =0.2Similarly, the ratio between 40 and 8 is Therefore, the ratio of successive terms is 0.2, which is constant. Hence, the given sequence is a geometric sequence.
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Omg I’m so confused about this pls
Answer: 1 is 50 and 2 is 70
Step-by-step explanation: these are both congruent and they are supplementary triangles
Because the triangles are just translated meaning they are moved and they are supplementary meaning they add up to 180° so we can subtract 180-70-60 to get 50 and the equation of triangle XYZ is 180-60-50 to get 70 those are the answers hope this helps :)
15^7 divided by 15^4 is equal to what 
Pls help I give Brainest
Answer:15^3
Step-by-step explanation: