False. The statement "sampling error increases when we increase sample size" is incorrect.
In fact, the opposite is true.
Sampling error typically decreases as the sample size increases.
Sampling error refers to the difference between a sample statistic (such as the mean or the percentage) and the true population value.
A larger sample size generally leads to a more accurate representation of the population because it includes more data points, reducing the impact of random fluctuations or outliers.
To better understand this concept, let's consider an example.
Suppose you are conducting a survey on the average height of people in a certain region.
If you only collect data from a small sample (e.g., 10 people), your estimate may be significantly off from the true population mean because your sample might not be representative of the entire population.
However, if you increase your sample size to 1,000 people, the sample is more likely to represent the overall population, and the estimate will be closer to the true population mean.
In this case, the sampling error will decrease as the sample size increases.
In summary, sampling error typically decreases when we increase sample size because larger samples are more likely to represent the true population, leading to more accurate estimates.
Always remember to use an appropriate sample size in your research to minimize sampling error and obtain more reliable results.
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Can someone help me with this question?
Helpppp meee pleaseee
Fernando and Maria are at opposite sides of a park. They plan to meet later at a fountain that is located somewhere between them. Maria will arrive at the fountain first, before Fernando even leaves his starting location. The ratio of Maria's starting location to the fountain to Fernando's starting place is 5:3. What is the location of the fountain? Round to the nearest tenth, if necessary.
(, )
The location of the fountain based on the information given is (-1, 0.5).
How to illustrate the location?From the graph, the coordinates are (4, 2) and (-4, -2).
The ratio is given as 5:3.
The coordinates of the fountain will be:
[(5 × -4 + 3 × 4)/(5 + 3), (5 × -3 + 3 × 2)/(5 + 3)]
= (-1, -0.5)
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determina la negacion de las siguientes expresiones:
El chimborazo es el volcan mas alto de ecuador
42 es mayor que 13
algun loro habla
Ningun elefante puede correr
Todos los arboles tienen hojas verdes
1. Chimborazo is not the highest volcano in Ecuador.
2. 42 is not greater than 13.
3. No parrot speaks.
4. Some elephant can run.
5. Not all trees have green leaves.
The negation of a statement is a statement that negates, or reverses, the original statement. The negations of the given expressions are:
In the first expression, the negation simply changes "is" to "is not" and leaves the rest of the statement unchanged.
In the second expression, the negation changes the comparison operator "greater than" to "not greater than", and flips the order of the values.
In the third expression, the negation changes "some" to "no", effectively saying that no parrot can speak.
In the fourth expression, the negation changes "no elephant can run" to "some elephant can run", which means that there exists at least one elephant that can run.
In the final expression, the negation adds the word "not" to the beginning of the statement, which negates the "all" part of the original statement and implies that there are some trees that do not have green leaves.
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An airplane flies 370 miles from point A to point B with a bearing of 24" . It then flies 240 miles from point B to point € with a bearing 0f 37" Draw diagram of the information. Then find the distance from point A to point C and the bearing from point A to point C
The distance from point A to point C and the bearing from point A to point C is 229.5 miles.
Given that:
AB = 370 miles
angle A = 24 degrees
BC = 240 miles
angle B = 37 degrees
To determine the distance from point A to C, we can use the cosine law since we are given two angles and two sides of a regular triangle.
The angle opposite side AC is angle B which is equal to 37 degrees.
(AC)^2 =(AB)^2 + (BC)^2 - 2(AB)(BC)cos(B)
Now we have to solve for AC:
(AC)^2 =(370)^2 + (240)^2 - 2(370)(240)cos(37)
AC = 229.48 miles.
Hence the answer is, the distance from point A to point C and the bearing from point A to point C is 229.5 miles.
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move the slider all the way to the right to a confidence coefficient of 0.99. now move the slider to a confidence coefficient of 0.90. what happened to the size of the confidence interval during the move from 0.99 to 0.90?
The confidence interval size shrank from 0.99 to 0.90, is the right answer. Confidence interval: 0.88
What is a confidence interval?A confidence interval in frequentist statistics is a range of estimates for an unknown parameter. A confidence interval is calculated at a specified degree of confidence; the most popular level is 95%, but other levels, such as 90% or 99%, are occasionally used.
Therefore, the correct choice is option B which states that From 0.99 to 0.90 the confidence interval size became smaller
In statistics, confidence is another word for probability. If you create a confidence interval, for instance, with a 95% level of confidence, you can be sure that 95 out of 100 times, the estimate will fall between the upper and lower values indicated by the confidence interval.
It can be calculated as:
df=n-1=19
t critical value 0.12 (two tail) = 1.62797
M = 51.5
sM = √(6.842 / 20) = 1.53
μ = M ± Z (sM)
μ = 51.5 ± 1.62797 * 1.53
μ = 51.5 ± 2.49
Therefore, CI { 49.01 and 53.99 }
Therefore, the confidence interval size shrank from 0.99 to 0.90, is the right answer. Confidence interval: 0.88
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Help pls! Find the area of the circle
Use π = 3.14 and round your answer to the nearest hundredth.
the area of the circle is 615. 4 m²
How to determine the area
The formula that is used to calculate the area of a circle is expressed with the equation.
We have the equation as;
A = πr²
Such that the parameters are given as;
A is the area of the circleπ takes the constant value of 22/7 or 3.14r is the radius of the circleFrom the diagram shown, we have that;
A = unknown
r = 14m
Now, substitute the values, we get;
Area = 3.14 ×14²
Find the square value
Area = 3.14(196)
Multiply the values
Area = 615. 4 m²
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Which of the following numbers is irrational?
-0.3
Answer:
-3/10
Step-by-step explanation:
jordan has 3/8 pond of candy. he gave some to his brother and now he has 1/10 pound left.how much did he give to his brother
Given :
Amount of candy Jordan have , \(A=\dfrac{3}{8}\ pounds\) .
Amount left after giving some to brother , \(a=\dfrac{1}{10}\ pounds\) .
To Find :
How much did he give to his brother .
Solution :
Let , amount he gave to his brother is , b .
So ,
\(\text{Amount left = Total amount -Amount he give to his brother}\\\\a=A-b\\\\b=A-a\\\\b=\dfrac{3}{8}-\dfrac{1}{10}\\\\b=\dfrac{(3\times 10)-8}{80}\\\\b=\dfrac{22}{80}\\\\b=\dfrac{11}{40}\)
So , amount he give to his brother is \(\dfrac{11}{40}\) .
Hence , this is the required solution .
In the coordinate plane, the points X (3, 6), Y (−7, 8), and Z (−11, 2) are reflected over the y-axis to the points X′, Y′, and Z′, respectively. What are the coordinates of X′, Y′, and Z′?
Answer:
X'= (-3,6)
Y'=(7,8)
Z'=(11,2)
Step-by-step explanation:
when a point is reflected over the y axis, (x,y) becomes (-x,y). so the x value is just multiplied by -1
Answer:
X′(−3, 6), Y′(7, 8), Z′(11, 2)
Step-by-step explanation:
Imagine you are a spy who needs to infiltrate a secret base located at the origin of the coordinate plane. You have three accomplices, X, Y, and Z, who are waiting for you at different points on the plane. X is at (3, 6), Y is at (-7, 8), and Z is at (-11, 2). You have a device that can reflect any point over the y-axis, which you plan to use to confuse the enemy guards. You decide to reflect X, Y, and Z over the y-axis to create X', Y', and Z', respectively. What are the coordinates of these new points?
To find the coordinates of X', you simply change the sign of the x-coordinate of X. So, X' is at (-3, 6). Similarly, to find the coordinates of Y' and Z', you change the sign of the x-coordinates of Y and Z. So Y' is at (7, 8) and Z' is at (11, 2). Now you have three new points that are symmetric to the original ones over the y-axis.
But wait! There's a problem. The enemy guards have noticed that something is wrong. They see four points on their radar: one at the origin (you) and three on the right side of the y-axis (X', Y', and Z'). They realize that these points are reflections of some other points on the left side of the y-axis. They quickly deduce that there must be a spy among them. They start searching for you.
You need to act fast. You use your device again to reflect yourself over the y-axis. This creates a new point at (-0, 0), which is exactly the same as (0, 0). You have effectively disappeared from their radar. You sneak into the base while they are busy looking for you on the wrong side of the plane.
You have successfully completed your mission. Congratulations! You are a master of reflections.
✧☆*: .。. That's all folks, have fun with math! (✧ω✧) .。.:*☆✧
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Which data set could be represented by the box plot shown below?
D. 54, 60, 65,66,67,70,70,72,73,75,76
Answer:
Box-plot = {54, 65, 69, 73, 76}
Step-by-step explanation:
The data provided for the number of desks on each floor of Texter Corporate is as follows:
S = {54, 60, 65, 66, 67, 69, 70, 72, 73, 75, 76}
There are a total of n = 11 floors.
A boxplot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,
Minimum (shown at the bottom of the chart)
First Quartile (shown by the bottom line of the box)
Median (or the second quartile) (shown as a line in the center of the box)
Third Quartile (shown by the top line of the box)
Maximum (shown at the top of the chart).
Arrange the data in ascending order as follows:
S': = {54 , 60 , 65 , 66 , 67 , 69 , 70 , 72 , 73 , 75 , 76}
The minimum value is:
Minimum = 54
The maximum value is:
Maximum = 76
As there are odd number of values the median is the middle value.
Median = 6th value = 69
The first quartile is the median of the first half of the data.
S'₁ = {54 , 60 , 65 , 66 , 67}
First quartile = 3rd value = 65
The third quartile is the median of the second half of the data.
S'₂ = {70 , 72 , 73 , 75 , 76}
Third quartile = 3rd value = 73
Thus, summarized data for the box plot is:
Box-plot = {54, 65, 69, 73, 76}
Answer the following question
Answer:
There are 168 ways the squirrels can divide the acorns.
Step-by-step explanation:
Since the squirrels can only carry less than their maximum loads, we'll have to subtract 1 from each maximum load.
2 is now 1
3 is now 2
5 is now 4
Now we need to add all of these up. 4 + 2 + 1 = 7
Now we need to multiply the their loads by the number of acorns.
24 × 7 = 168
Pls help what is sideBC
Answer:
Cosx=a/h
Cos70=y/5
5*cos70=1.71 =bc
When critiquing an observational study, which four factors should be analyzed?.
Overall, analyzing the four factors can help determine the validity and generalizability of the results of an observational study: Confounding Variables, Sampling Method, Data Collection Methods, Study Design.
Confounding Variables: Confounding variables are extraneous variables that are related to both the dependent variable and the independent variable, which can lead to a false association between the two. When critiquing an observational study, it is important to analyze whether confounding variables were adequately controlled for. This can be done by examining whether the study design accounted for potential confounders, such as through stratification or matching, or whether statistical techniques were used to adjust for confounding.
Sampling Method: The sampling method used in an observational study can have a significant impact on the generalizability of the results. It is important to analyze whether the study used a representative sample of the population of interest, and whether any biases were present in the sampling method.
Data Collection Methods: The methods used to collect data in an observational study can also impact the validity of the results. When critiquing an observational study, it is important to analyze whether the data collection methods were standardized and reliable, and whether any biases were present in the data collection process.
Study Design: The study design used in an observational study can also affect the validity of the results. When critiquing an observational study, it is important to analyze whether the study design was appropriate for answering the research question of interest, and whether there were any limitations or potential sources of bias in the study design.
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What is -2(n-12)+1=-2n+25 ?
Your weight-lifting class cost a $10 fee up front and $5 per class after.
1. (2ab^5)^4/ab^3
2. (x^3y^5/ab^7)^2
3. 5mn^7-1
ANSWER :
\( \rm{1.)16a {}^{3}b {}^{17} }\)
= (2ab^5)^4
= 2ab^5×2ab^5×2ab^5×2ab^5
= 16a^4b^9
= 16a^4b^9/ab^3
= 16a^3b^17
\( \rm2.) \frac{x {}^{6} y {}^{10} }{a {}^{2}b {}^{14} } \)
= (x^3y^5)^2
= (x^6y^10)
= (ab^7)^2
= (ab^14)
= (x^6y^10)/ab^14
\( \rm3.)4mn {}^{7} \)
= 5mn^7 - 1
= 4mn^7
Weston often loses his left shoe. He now has three times as many right shoes as left. He has 15 right shoes total. Which statement represent the amount of left shoes Weston still has?
ANSWER:
The option C
\(3l=15\)STEP-BY-STEP EXPLANATION:
We can calculate the equation that represents the situation as follows:
let r, right shoe
let l, left shoes
\(\begin{gathered} r=3l \\ r=15 \\ r=r \\ \text{replacing} \\ 3l=15 \end{gathered}\)The statment is 3l = 15, the option C
10
pounds. How
Eliza's backpack weighs 18 pounds with her math book in it. Without her math book, her backpack weighs
14
much does Eliza's math book weigh?
Answer:
4 lb
Step-by-step explanation:
Subtracting 4 lb from 18 lb yields 14 lb, the weight of the backpack without math book: 18 lb - 4 lb = 14 lb
The math book weighs 4 lb.
Hey could you help me make sure these are right . Thanks so much they points are at 50 and I’ll mark brainliest
Step-by-step explanation:
your answers are right in my pov
Please respond quick!!!
I think that for a its 1.12 and for b its 39424
100 + 12 = 112
112/100 = 1.12
35200 * 1.12 = 39424
Which line is the graph of y = 1/2 x + 2?
line a
line c
line d
line b
Answer:
the answer is line A
Step-by-step explanation:
:3 why do i have to write at least 20 characters :/
but Hope its correct
Answer:
Line A
Step-by-step explanation:
By graphing the equation y = 1/2x + 2 you will see that the line intersects at 2. Hence + 2, while all of the other given lines do not intersect at 2.
To further prove the answer, you could also see that line A intersects at -4 when you graph the equation y = 1/2x + 2 you can also see that the line intersects at -4 on the x axis and 2 on the y axis.
Your answer is the first option or "line A."
Hope this helps.
the length of a rectangular piece of sheet metal is longer than its width. a square piece that measures on each side is cut from each corner, then the sides are turned up to make a box with volume . find the length and width of the original piece of sheet metal.
The width of the original piece of sheet metal is (w^2 - l^2)/(3w + 3l), and the length is (l^2 - w^2)/(3w + 3l).
To solve this problem, we can use the formula for the volume of a rectangular box, which is V = lwh, where l is the length, w is the width, and h is the height.
First, let's find the height of the box. Since we cut squares from each corner, the height of the box is the length of the square that was cut out. Let's call this length x.
The width of the box is the original width minus the lengths of the two squares that were cut out, which is w - 2x.
Similarly, the length of the box is the original length minus the lengths of the two squares that were cut out, which is l - 2x.
Now we can write the volume of the box in terms of x, w, and l:
V = (w - 2x)(l - 2x)(x)
Expanding this expression, we get:
V = x(4wl - 4wx - 4lx + 8x^2)
Simplifying further:
V = 4x^3 - 4wx^2 - 4lx^2 + 4wlx
To find the dimensions of the original piece of sheet metal, we need to maximize this volume. We can do this by taking the derivative of the volume with respect to x and setting it equal to zero:
dV/dx = 12x^2 - 8wx - 8lx + 4wl = 0
Solving for x, we get:
x = (2wl)/(3w + 3l)
Now we can use this value of x to find the width and length of the original piece of sheet metal:
w - 2x = w - 2(2wl)/(3w + 3l) = (w^2 - l^2)/(3w + 3l)
l - 2x = l - 2(2wl)/(3w + 3l) = (l^2 - w^2)/(3w + 3l)
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Pls help asap id rlly appreciate it. No links pls and pls do not GUESS the answer if u dont know it.
Answer: B
Explanation:
A + B = (2x - 7x² + 3) + (4x² - 12x) = 2x - 7x² + 3 + 4x² - 12x = -3x² -10x + 3
in order for applicants to work for the foreign-service department, they must take a test in the language of the country where they plan to work. the data below shows the relationship between the number of years that applicants have studied a particular language and the grades they received on the proficiency exam. find the equation of the regression line for the given data.
The equation of the regression line for the given data can be determined by performing linear regression analysis.
The regression line represents the best-fit straight line that describes the relationship between the independent variable (number of years studied) and the dependent variable (proficiency exam grades). The equation of the regression line can be expressed as y = a + bx, where y is the predicted value of the dependent variable, x is the independent variable, a is the y-intercept, and b is the slope of the line.
To find the equation of the regression line, we first need to calculate the slope and y-intercept using the given data. We can use statistical software or a calculator to perform the regression analysis and obtain the values of a and b. Once we have these values, we can plug them into the equation of the regression line to get the final equation.
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Brainliest and 25 points for solving these
The value that make the function continuous everywhere are:
7. k = 1/98. c = -1 + k9. a = 10 - π and b = π10. b = π/2.How to determine functions that are continuous everywhere?To find the values of a, b, and c that make the given functions continuous everywhere, ensure that the function values from the left and right sides of the points of discontinuity match.
For f(x) = kx², x ≤ 3; 4x - 11, x > 3:
Two parts of the function to agree at x = 3,
Solving for k:
k(3)² = 4(3) - 11
9k = 12 - 11
9k = 1
k = 1/9
Therefore, the value of k that makes the function continuous everywhere is k = 1/9.
For g(x) = cx², x < 1; 4, x = 1; -x³ + kx, x > 1:
Two parts of the function to agree at x = 1.
Solving for c:
c(1)² = -1³ + k(1)
c = -1 + k
Therefore, the value of c that makes the function continuous everywhere is c = -1 + k.
For h(x) = π, x < 0; x² + ax + b, 0 ≤ x ≤ 1; 6x + 5, x > 1:
Three parts of the function to agree at their boundaries.
Solving for a and b:
0² + a(0) + b = π
b = π
1² + a(1) + b = 6(1) + 5
1 + a + π = 6 + 5
a = 10 - π
Therefore, the values of a and b that make the function continuous everywhere are a = 10 - π and b = π.
For f(x) = x², x < 1; sin(bx), x ≥ 1:
Two parts of the function to agree at x = 1.
Setting them equal and solving for b:
1² = sin(b(1))
1 = sin(b)
Therefore, the value of b that makes the function continuous everywhere is b = π/2.
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the smaller number is n, then the total will be The smaller of two consecutive numbers is doubled and added to the greater. If the smaller number is n then the total will be
The expression to represent the total of two consecutive numbers is x+2n.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given that, the smaller number is n.
Let the greater number be x.
Expressions are made up of terms. A term is the product of factors. Factors may be numerical as well as algebraic (literal).
The smaller of two consecutive numbers is doubled and added to the greater.
That is, x+2n
So, the expression to represent the total is x+2n.
Therefore, the total of two numbers is x+2n.
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"Your question is incomplete, probably the complete question/missing part is:"
The smaller of two consecutive numbers is doubled and added to the greater. If the smaller number is n, the total will be
T/F. The normal curve is symmetric about its mean, u.The statement is true. The normal curve is a symmetric distribution with one peak, which means the mean, median, and mode are all equal. Therefore, the normal curve is symmetric about the mean, u.
The given statement " The normal curve is symmetric about its mean, u" is true because it is equally distributed on both the sides of the mean.
The normal curve is always symmetric about the line representing its mean, u.
This means that the curve is equally distributed on both sides of the line representing the mean.
And the area under the curve to the left of the mean is equal to the area under the curve to the right of the mean.
This is a defining characteristic of the normal distribution.
Which is widely used in statistics due to its many useful properties.
Therefore, the normal curve is symmetric which is about its mean is a true statement.
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The above question is incomplete, the complete, question is:
The normal curve is symmetric about its mean, u. T/F.
students in a class are assigned to groups to work on a project. a grade will be given for each project, and everyone in the group will receive that grade. for the members of a particular group, the grade is a
Answer:3
Step-by-step explanation:
Simplify the following expression. 2x^5+3x^3-5x^2+x^2+7x+1+7x^5-3x^3-4
Option (A) is the correct option and on simplifying the expression by combining like terms we get,
24 - 3p.
Here, we have,
Given, the expression 6(4 - 2p) + 9p
On simplifying, we get
24 - 12p + 9p
24 - 3p
So, on simplifying the given expression, we get
24 - 3p
Hence, Option (A) is the correct option and on simplifying the expression by combining like terms we get,
24 - 3p
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