To obtain a smaller margin of error, choose a smaller confidence level.
Margin of error is defined as the degree of the sampling errors in statistics. It can be calculated using the formula below.
MOE = z x (SD / √n)
where MOE = margin of error
z = found by using a z-score table
SD = sample standard deviation
n = sample size
Based on the formula, to reduce the margin of error, the z-score, z, must be small. In order to have a smaller value of z, the probability, p, should also be small. And to obtain a small probability, choose a smaller confidence level.
Hence, to reduce the margin of error, use a lower confidence level.
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Anyone know this sorry if it’s a bit blurry
Answer:
y=-2/3x
Step-by-step explanation:
the angle is negative and if you look closely the slope is 2/3x just add the minus(-) and done.
y=-2/3x
Hope this helps!
Which equation represents a linear function?
y = 2x²
y = x³
y = -4x + 5
y=-3x² + 2
Answer:
Step-by-step explanation:
I think it is the third one.
You cannot have an x squared or cubed because then it would have a repeating x value which would not represent a linear function.
the answer is y=-4+5
I hope this helps and is correct
Geometry question plz help me ?
How will you express the number of hours in each activity in terms of fraction and percent forms?
Please help me with this
Answer:
37% is the answer
Step-by-step explanation:
Brainliest please
Wall of Prizes
a carnival game is set up with a board containing pictures of prizes. if a student throws a dart and hits within a shape with a prize, they win that prize
The area of the various shapes are:
1) Area of a circle (with radius 8in) 200.96
2) Area of Rectangle (45 *14) = 630in
3) Area of rectangle (24 *9) = 216in
4) Area of pentagon with side 10in = 172.05
5) Area of circle with diameter 20in = 314
6) Area of rectangle 5 x 8 = 40ft.
How did we arrive at the above?Lets take the circles first where the radius is 8in.
1) The area of a circle is
A = πr²
A = π x r²
A = 3.14 x 8²
A = 200.96
2) Area of circle with diameter of 20 inches
Where diameter is 20inches, radius is 10inches
So
A = 3.14 x 10²
A = 3.14 x 100
A = 314
Now to the rectangles
1) Area of rectangle is L x B
Where L = Length
B = Breath
So,
A = 45 * 14 = 630in
2) A = 24 x 9 = 216 in
3) A = 5 x 8 = 40 inches
Next the pentagon.
Formula for Area of Pentagon is
Area = (1/4) * √(5 * (5 + 2 * √(5))) * s²
Where s = Side.
Since s = 10in
Area = (1/4) * √(5 * (5 + 2 * √(5))) * (10)²
A = 172.05
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PLEASE HELP!!!!!!!!!!!!!!!
Answer:
27.6%
Step-by-step explanation:
See the attached worksheet. Find the total number of marbles (29) and then take the green marbles and divide by the total and multiply by 100%. (8/29)*(100%) = 27.6% to the nearest tenth.
if an independent variable's null hypothesis is rejected, it should remain in the model. group of answer choices true false
The number of variables in a data collection whose values can fluctuate while others remain fixed is referred to as a degree of freedom. So, the third choice is the right one.
Define independent variable.A variable that indicates a quantity being altered in an experiment is known as an independent variable. In equations, x is frequently used to denote the independent variable. A variable that indicates a quantity being altered in an experiment is known as an independent variable. Values that fluctuate in relation to one another are independent and dependent variables in mathematics.
Given.
The number of variables in a data collection whose values can fluctuate while others remain fixed is referred to as a degree of freedom. So, the third choice is the right one.
In other words, the number of values that can change in a statistical calculation is referred to as the degree of freedom.
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I AM IN A HURRY CAN ANYONE ANSWER? I PROMISE I WILL GIVE BRAINLIEST!!!
Lauren graphs the system of equations to determine its solution.
y=2xy=−x+6
What is the correct solution?
Enter your answer by filling in the boxes.
$$
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
oh ur paper
a population of protozoa develops with a constant relative growth rate of 0.6685 per member per day. on day zero the population consists of two members. find the population size after seven days. (round your answer to the nearest whole number.)
When the population of a protozoa develops with a constant relative growth rate of 0.6685 per member per day, and there are two members on the day zero, the population after will consist of 7 at the end of seven days period.
The total population of the protozoa at the end of the seven days can be computed using the calculations given below,
Total Population = Growth Rate x Number of Days + Day zero Population
Total Population = (0.6685 x 7) + 2
Total Population = 6.667, or ~ 7.
Therefore, there will be 7 protozoa at the end of seven days.
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An ancient ruler is 9 inches long. The only marks that remain are at 1 inch and 2 inches, 9 inches and one mark. It is possible to draw line segments of the whole number lengths from 1 to 9 inches without moving the ruler. What inch number is on the other mark
If the only marks that remain are at 1 inch and 2 inches, 9 inches and one mark, the missing mark corresponds to the number 6.
This is a classic problem in recreational mathematics, also known as the "burnt ruler problem". To solve it, we need to think creatively and use rational expressions and equations.
First, we note that the distance between the two marks is 9-2=7 inches. We can imagine the ruler as a number line from 0 to 9, where the two marks correspond to the numbers 1 and 2. We want to find the other mark, which corresponds to some number x between 2 and 9.
Next, we observe that we can use the ruler to construct line segments of length 1, 2, 3, 4, 5, 6, 7, 8, and 9 by adding or subtracting these lengths using the two marks as reference points. For example, we can construct a line segment of length 3 by starting at the mark at 2, moving 1 inch to the right, and then moving 2 more inches to the right.
Now, we notice that any line segment of length n can be expressed as a difference of two line segments of smaller lengths. For example, a line segment of length 7 can be expressed as the difference between a line segment of length 2 and a line segment of length 5. More generally, we can write:
n = a - b
where a and b are integers between 1 and n-1.
Using this observation, we can try to find a way to express the length of the missing segment x as a difference of two integers between 1 and 7. We can start by listing all possible values of a and b:
a=2, b=1: 2-1=1
a=3, b=1: 3-1=2
a=4, b=1: 4-1=3
a=5, b=1: 5-1=4
a=6, b=1: 6-1=5
a=7, b=1: 7-1=6
a=3, b=2: 3-2=1
a=4, b=2: 4-2=2
a=5, b=2: 5-2=3
a=6, b=2: 6-2=4
a=4, b=3: 4-3=1
a=5, b=3: 5-3=2
a=6, b=3: 6-3=3
a=5, b=4: 5-4=1
a=6, b=4: 6-4=2
a=6, b=5: 6-5=1
We notice that the only values of a and b that work are 6 and 1, respectively, since 6-1=5, which is the length of the line segment between the two marks that was not given.
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pablo is comparing data on bottles and cases. what is he doing that is highlighting the bottle section in a yellow color?
By doing this, Pablo is likely trying to draw attention to the data on bottles, which may be of particular interest or importance in his analysis.
The yellow highlight can make the data stand out more visually, making it easier for viewers to quickly identify and understand the information presented.
Data visualization tools can be useful in helping to communicate complex information in a clear and concise way. By using different colors, shapes, and visual elements, it is possible to highlight key data points and make patterns and trends more apparent.
This can be especially useful in business, scientific, and academic settings, where data analysis and communication are important skills.
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a rectangle is 8 km longer than it is wide. find the dimensions of the rectangle if its area is 345 sq-km.
The length of the rectangle is 23 km and the width of the rectangle is 15 km.
A rectangle is 8 km longer than it is wide.
Its area is 345 sq-km.
Let the width of the rectangle is x.
The length is 8 km longer than the width.
So the width of the rectangle is x + 8 km.
The formula of the area of rectangle is:
A = length × width
We know A = 345 sq-km.
Now putting the value
x × (x + 8) = 345
Now simplifying
x^2 + 8x = 345
Subtract 345 on both side, we get
x^2 + 8x - 345 = 0
Now factor the equation
x^2 + (23 - 15)x - 345 = 0
x^2 + 23x - 15x - 345 = 0
x(x + 23) - 15(x + 23) = 0
(x - 15)(x + 23) = 0
Now equation the factor equal to zero.
x - 15 = 0 or x + 23 = 0
x = 15 or x = -23
Since the dimension of the rectangle can't be negative. So
The width of the rectangle is 15 km.
Now we determine the value of length
x + 8 = 15 + 8 = 23
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We've seen that as the sailboat logo is resized by dilation, the line segments that make up the logo may be mapped onto
parallel lines or stay on the same line. The lengths of the image are the lengths of the preimage multiplied by the scale factor
Now we will use GeoGebra to compare the angles of a dilated figure to the angles of the original figure. Open dilations
again. Then complete each step below. For help, watch this video to learn more about measurement tools in GeoGebra.
Part A
Measure and record the measures of these angles in the original logo. Then set n = 0.5 and n = 2, and record the
measures of the corresponding angles in each resulting image.
BIUX² X₂ 14pt
A
Angle Original Measure Measure After Dilation
n = 0.5
n = 2
ZFGB
ZGBC
ZLKJ
B
The angle measures of the triangles before and after dilation are the same
Calculating the angle measures before and after dilationGiven that, we have a triangle that is dilated to form another triangle by a scale factor of n
The dilation transformation is a rigid transformation
This means that it changes the size of a shape after it is applied
However, the shape and the image would be similar shapes and as such would have their angles unchanged
This means that irrespective of the value of the scale factor n, the angle measures would remain the same
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A farmer has asked you for advice on the best strategy for planting wheat and corn on her 500-acre farm. To make it through harvest time, each acre of wheat she plants will require 1 person-day of labor and other expenses of $20. Each acre of corn she plants will require 5 person-days of labor and expenses of $30. The farmer has $11,400 and 1480 person-days of labor available, and she expects to make a profit of $90 per acre of wheat and $120 per acre of corn. If x = acres of wheat and y = acres of corn, which of the following is NOT a constraint?
x + y ≤ 500
20x + 30y ≤ 11,400
y ≥ 5x + 30
x + 5y ≤ 1480
The constraint that is NOT valid is " \(y > = 5x + 30\) "
To determine the constraints, we analyze the given information. The farmer has a 500-acre farm, and she wants to optimize her planting strategy for wheat and corn. Each acre of wheat requires 1 person-day of labor and $20 in expenses, while each acre of corn requires 5 person-days of labor and $30 in expenses. The farmer has a budget of $11,400 and 1480 person-days of labor available.
To maximize profit, we consider the profit per acre for each crop, which is $90 for wheat and $120 for corn. Let x represent the acres of wheat and y represent the acres of corn.
The constraints are as follows:
\(x + y < = 500\) : This constraint ensures that the total planted area does not exceed the farm size.\(20x + 30y < = 11,400\) : This constraint represents the budget limitation.\(y > = 5x + 30\) : This constraint is NOT valid because it suggests that the number of acres of corn must be greater than or equal to 5 times the number of acres of wheat plus 30. However, there is no information provided to support this relationship.\(x + 5y < = 1480\) : This constraint limits the total available person-days of labor.By considering these constraints, the farmer can determine the optimal combination of wheat and corn planting to maximize profit while adhering to resource limitations.
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If you have a score of x = 75 on an exam, which set of parameters would give you the highest position within the class?
The set of parameters that would give you the highest position within the class with a score of x = 75 is option (C) μ = 60 and σ = 5 is the correct answer.
In this question,
A z-score tells us how many standard deviations away a value is from the mean. A positive z-score indicates the raw score is higher than the mean average. A negative z-score reveals the raw score is below the mean average.
According to the Percentile to z-score calculator, the z-score that corresponds to the 90th percentile is 1.2816. Thus, any student who receives a z-score greater than 1.2816 would be considered a “good” z-score.
The z-score can be calculated as
z-score = \(\frac{x-\mu}{\sigma}\)
On substituting the above options of μ and σ with the score of x = 75,
a) μ = 70 and σ = 5,
z-score = \(\frac{75-70}{5}\)
⇒ \(\frac{5}{5}\) = 1
b) μ = 70 and σ = 10,
z-score = \(\frac{75-70}{10}\)
⇒ \(\frac{5}{10}\) = 0.5
c) μ = 60 and σ = 5,
z-score = \(\frac{75-60}{5}\)
⇒ \(\frac{15}{5}\) = 3
d) μ = 60 and σ = 10
z-score = \(\frac{75-60}{10}\)
⇒ \(\frac{15}{10}\) = 1.5
Thus the z-score 3, is the higher value. 99% have a z-score between -3 and 3. Therefore, the set of parameters that would give you the highest position within the class with a score of x = 75 is option (C) μ = 60 and σ = 5 is the correct answer.
The complete question is as follows,
If you have a score of x = 75 on an exam, which set of parameters would give you the highest position within the class?
The options for this question are a) μ = 70 and σ = 5, b) μ = 70 and σ = 10, c) μ = 60 and σ = 5, d) μ = 60 and σ = 10.
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Tell whether the ratios form a proportion
2: 8/3 and 2/3: 6
Answer:
no
Step-by-step explanation:
you can cross-multiply and see if you get the same products
(2/1 ÷ 8/3) / (2/3 ÷ 6/1)
2/1 · 6/1 ≠ 8/3 · 2/3
12 ≠ 16/9
Math
10 Find the exact value of √2+√3-√2-√3.
(Hint: let x =
= √2+√3-√2-√3 and then square both sides of the equation.)
Answer:
2 is the answer because you add then tske away
Factor completely 18x2 − 21x −15. 3(2x 1)(3x − 5) 3(2x − 5)(3x 1) 3(2x − 1)(3x 5) 3(6x 1)(x − 5).
The factor of the \(18x^{2} -21x-15\) will be 3(3x-5)(2x+1).
What will be the factor of \(18x^{2} -21x-15\) ?Given quadratic equation is \(18x^{2} -21x-15\)
By taking 3 common from whole of the equation it becomes.
\(3(6x^{2} -7x-5)\)
now by factorization equation will be.
\(3(6x^{2} -10x+3x-5)\)
3[(2x(3x-5)+1(3x-5)]
Taking (3x-5) common from whole equation it will become
3(3x-5)(2x+1).
Hence the factor of the \(18x^{2} -21x-15\) will be 3(3x-5)(2x+1).
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Is it possible to prove this? If so, how? What conclusions need to be drawn?
we know that ABDF is a parallelogram, check the picture below, so sides AB and FD are equal for a parallegram and the angle they'd make above as well as below, will be equal as well, namely the angles at B and D are equal, so by the ASA postulate we can say the triangles are congruent.
Reese states that the system of equations has no solution because the slopes are the same. Describe Reese’s error. ( y=−3x−1 ), ( 3+y=−1 )
Answer:
the system of equations has infinite solution
Step-by-step explanation:
Reese states that the system of equations has no solution because the slopes are the same. Describe Reese’s error. ( y=−3x−1 ), ( 3x+y=−1 )
Solution:
The equation of a straight line graph is given by:
y = mx + b, where m is the slope of the line and b is the y intercept.
A system of linear equations has no solution when the graphs are parallel, that is they have the same slope and different y intercept.
A system of linear equations has infinite solutions when the graphs are the exact same line, that is they have the equal slope and equal y intercept.
The first equation: y = -3x - 1 has a slope of -3 and y intercept of -1.
The second equation: 3x + y = - 1; i.e. y = -3x - 1 has a slope of -3 and y intercept of -1.
Since both equations have equal slope and equal y intercept, hence both equations are infinite solutions.
Therefore the statement that the system of equations has no solution is wrong.
Alan has a guessing game on his computer.
He estimates that the probability of winning each game is 0.35
Alan decides to play 20 of these games.
How many of these games should he expect to win?
Answer:7
Step-by-step explanation:
100/20 = 5
35/5 = 7
robert is at the movies with his girl, Maliyah. He has a coupon good for Buy One, Get One Free for a medium popcorn, p. If he buys his popcorn for full price, p, what will he pay for Maliyah’s popcorn?
HELPPP MEH PLEASE
Answer:
well if he has a coupon for a BOGO of buy one get one free then if he pays full price for his then redeems the code then he should get the second one free
Which figure is the image of Figure 1 after a reflection over the y-axis and a translation 3 units down?
When we perform a reflection over the y-axis then the y-coordinates remain the same but the x-coordinates are inverted (opposite sign).
Example:
As you can see in the above figure, a reflection over the y-axis would look like this.
When we perform a translation of 3 units down then the shape gets shifted downwards by 3 units.
Example:
Therefore, we can see that figure B is the correct answer.
Plan 2 is a better deal for more than 8 cards purchased
Plan 1 is a better deal for more than 8 cards purchased
Plan 1 is a better deal for more than 5 cards purchased
Plan 2 is a better deal for more than 5 cards purchased
Where the above conditions are given, the correct option is: Plan 1 is a better deal for more than 5 cards purchased.
How is this so?
To determine which pricing plan is a better deal,we need to compare the total cost for a certain number of game cards purchased.
Let's calculate the total cost for different numbers of game cards.
For Plan 1 -
- Admission fee - $5 (fixed)
- Cost per game card - $1
For Plan 2 -
- Admission fee - $2.50 (fixed)
- Cost per game card - $1.50
Now, let's compare the total cost for different numbers of game cards -
1. If you purchase 1 game card -
- Plan 1 - $5 (admission fee) + $1 (cost per game card) = $6
- Plan 2 - $2.50 (admission fee) + $1.50 (cost per game card) = $4
2. If you purchase 5 game cards -
- Plan 1 - $5 (admission fee) + $5 (cost for 5 game cards) = $10
- Plan 2 - $2.50 (admission fee) + $7.50 (cost for 5 game cards) = $10
3. If you purchase 8 game cards -
- Plan 1 - $5 (admission fee) + $8 (cost for 8 game cards) = $13
- Plan 2 - $2.50 (admission fee) + $12 (cost for 8 game cards) = $14.50
Based on these calculations, we can conclude that -
- Plan 1 is a better deal for more than 5 cards purchased.
- Plan 2 is a better deal for more than 8 cards purchased.
Therefore, the correct option is - Plan 1 is a better deal for more than 5 cards purchased.
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Point V lies between points U and W on Line segment U W.
A line has points U, V, W. The length between U V is 2 x minus 4. The length between V W is 4 x + 10.
If UW = 9x – 9, what is UW in units?
5 units
6 units
30 units
36 units
Answer:
The correct answer is (d) 36 units.
Step-by-step explanation:
Just took the test on edge :)
The measure of UW is 36 units
The measure of angles between segmentsFrom the question, a line has points U, V, W. If Point V lies between points U and W on Line segment U W, then;
UV + VW = UW
Given the following
VW = 4 x + 10.
UW = 9x – 9
UV = 2x - 4
Substitute
2x - 4 + 4x + 10 = 9x - 9
6x + 6 = 9x - 9
-3x = -15
x = 5
UW = 9x - 9
UW = 45 - 9
UW = 36 units
Hence the measure of UW is 36 units
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PLEASE HELP ME IM STUCK NEED TO TURN IN SOON
9. A scatter plot for the data is shown below.
10. A trend line which best represents the data is shown by the thin continuous line on the scatter plot
11. An equation in slope-intercept form for the line of best fit is y = -6.85x + 123.93.
12. The slope of the line of best fit is -6.85 while the y-intercept is 123.93.
13. The number of savings club members in the year 2014 is 55 members.
How to construct and plot the data in a scatter plot?In this exercise, we would plot the years on the x-axis of a scatter plot while the membership would be plotted on the y-axis of the scatter plot through the use of Microsoft Excel.
Question 10.
Based on the scatter plot shown, the thin continuous line is the trend line and it best represents the data on the scatter plot.
Question 11.
On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation of the line of best fit (trend line) on the scatter plot;
y = -6.85x + 123.93
Question 12.
The slope of the line of best fit is equal to -6.85 years and the y-intercept is equal to 123.93 members.
Question 13.
Based on the equation of the line of best fit above, the number of savings club members in the year 2014 is given by:
Years, x = 2014 - 2005 = 10 years.
y = -6.85(10) + 123.93
y = -68.5 + 123.93
y = 55.43 ≈ 55 members.
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The process of mitosis in a paragraph FOR SCIENCE
Answer:
Mitosis means threads, and it refers to chromosomes while the cell starts to divide. Mitosis is when a eukaryotic cell's nucleus splits.
1. Chandler has a large and varied comic book collection. Of his
collection, 4/5 of the comics are superhero comics. Of those superhero
comics, 2/9 are Arachna-Man comics and 1/8 are Wonderdog comics.
part a. find the fraction of chandler's comic book collection that is made up of aracha-man comics. explain how u found your answer.
PLEASE ANSWER!!
Answer:
8/45
Step-by-step explanation:
Take the fraction that are superhero comics and multiply by the fraction of superhero comics that are Arachna comics
4/5 * 2/9
8/45
what is the distance along the unit circle between any two successive 8th roots of 1?
a. π/8
b. π/6
c. π/4
d. π/2
The distance along the unit circle between any two successive 8th roots of 1 is c) π/4.
To find the distance along the unit circle between any two successive 8th roots of 1, we can consider the concept of angular displacement.
Each 8th root of 1 represents a point on the unit circle that is evenly spaced by an angle of 2π/8 = π/4 radians.
Starting from the point corresponding to 1 on the unit circle, we can move π/4 radians to reach the first 8th root of 1. Moving π/4 radians further will bring us to the second 8th root of 1, and so on.
Since we are moving by π/4 radians for each successive 8th root of 1, the distance between any two successive 8th roots of 1 is π/4 radians.
Therefore, the correct answer is option c. π/4.
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